geometry - matermiddlehigh.org · 8/20/2020 · geometry curriculum map key: getting ready...
TRANSCRIPT
GeometryC U R R I C U L U M M A P
1
ACTIVITY 1 Unit 1: Proof, Parallel, and Perpendicular Lines
Geometry Curriculum Map
PacingLevel of Instruction Resource Instructional Focus MAFS Learning Targets or Assessment Focus
1 45-min. period
On Grade Level
Core materials (p. 1) Unit 1 Overview / Getting Ready
Assign the Getting Ready items to assess prerequisite skills necessary for Unit 1. As needed, assign resources at point of use over the course of the unit.
10 min. Approaching Grade Level
Geometry Skills Workshop (p. 2)
Describing the Pattern of a Sequence 4.OA.3.5 • Describe the pattern of a sequence.
10 min. Approaching Grade Level
Geometry Skills Workshop (p. 4)
Draw a Right Triangle 4.G.1.2 • Draw a right triangle using given information.
10 min. Approaching Grade Level
Geometry Skills Workshop (p. 6)
Finding the Measure of an Angle 4.MD.3.6 • Find the measure of an angle using a protractor.
10 min. Approaching Grade Level
Geometry Skills Workshop (p. 9)
Finding the Slope Between Two Points 8.EE.2.6 • Find the slope of a line given two points.
10 min. Approaching Grade Level
Geometry Skills Workshop (p. 11)
Graphing a Linear Equation A-CED.1.2 • Use a graph to represent a linear equation.
10 min. Approaching Grade Level
Geometry Skills Workshop (p. 15)
Solving a Linear Equation 8.EE.3.7c • Solve one- and two-step equations.
10 min. Approaching Grade Level
Geometry Skills Workshop (p. 18)
Writing a Linear Equation 8.EE.2.6 • Write a linear equation in different forms.
10 min. Approaching Grade Level
Geometry Skills Workshop (p. 20)
Writing the Equation for the Graph of a Line 8.EE.2.6 • Write an equation for the graph of a line using three forms of linear equations.
15–25 min.
On Grade Level
Core materials (p. 37)
Unpacking Embedded Assessment 1Geometric Figures and Basic Reasoning—The Art and Math of Folding Paper
G-CO.1.1
Assessment Focus• Geometric relationships• Conditional statements• Making conjectures
1 45-min. period
On Grade Level
Core materials (p. 3) Lesson 1-1 Basic Geometric Figures G-CO.1.1
• Identify, describe, and name points, lines, line segments, rays, and planes using correct notation.
• Identify and name angles.
15–25 min.
On Grade Level
Core materials (p. 6) Lesson 1-1 Practice Opportunity to apply knowledge and practice skills developed in the lesson.
10 min. On Grade Level
SpringBoard Digital / Assessments
Lesson 1-1 Quiz Opportunity to demonstrate knowledge and skills developed in the lesson.
1 45-min. period
On Grade Level
Core materials (p. 7) Lesson 1-2 More Geometric Figures G-CO.1.1 • Describe angles and angle pairs.
• Identify and name parts of circles.
denotes Getting Ready Practices in the Geometry Skills Workshop.
denotes Mini-Lessons in the Geometry Skills Workshop.
2
ACTIVITY 1 Unit 1: Proof, Parallel, and Perpendicular Lines
Geometry Curriculum Map
Key: Getting Ready Practice Mini-Lesson
PacingLevel of Instruction Resource Instructional Focus MAFS Learning Targets or Assessment Focus
15–25 min.
On Grade Level
Core materials (p. 10) Lesson 1-2 Practice Opportunity to apply knowledge and practice skills developed in the lesson.
10 min. On Grade Level
SpringBoard Digital / Assessments
Lesson 1-2 Quiz Opportunity to demonstrate knowledge and skills developed in the lesson.
1 45-min. period
On Grade Level
Core materials (p. 11) Activity 1 Practice Opportunity to apply knowledge and practice skills developed in the activity.
View Khan Academy Videos: Terms & Labels in Geometry • Lines, Line Segments, & Rays • Angles: Introduction • Naming Angles • Circles Glossary • Radius, Diameter, Circumference & π • Complementary & Supplementary Angles • Vertical Angles
3
ACTIVITY 2 Unit 1: Proof, Parallel, and Perpendicular Lines
Geometry Curriculum Map
Key: Getting Ready Practice Mini-Lesson
PacingLevel of Instruction Resource Instructional Focus MAFS Learning Targets or Assessment Focus
1 45-min. period
On Grade Level
Core materials (p. 13) Lesson 2-1 Inductive Reasoning MP.3, MP.8 • Make conjectures by applying inductive reasoning.
• Recognize the limits of inductive reasoning.
15–25 min.
On Grade Level
Core materials (p. 17) Lesson 2-1 Practice Opportunity to apply knowledge and practice skills developed in the lesson.
10 min. On Grade Level
SpringBoard Digital / Assessments
Lesson 2-1 Quiz Opportunity to demonstrate knowledge and skills developed in the lesson.
1 45-min. period
On Grade Level
Core materials (p. 18) Lesson 2-2 Deductive Reasoning MP.2, MP.3
• Use deductive reasoning to prove that a conjecture is true.
• Develop geometric and algebraic arguments based on deductive reasoning.
15–25 min.
On Grade Level
Core materials (p. 22) Lesson 2-2 Practice Opportunity to apply knowledge and practice skills developed in the lesson.
10 min. On Grade Level
SpringBoard Digital / Assessments
Lesson 2-2 Quiz Opportunity to demonstrate knowledge and skills developed in the lesson.
1 45-min. period
On Grade Level
Core materials (p. 23) Activity 2 Practice Opportunity to apply knowledge and practice skills developed in the activity.
View Khan Academy Videos: Inductive Reasoning • Inductive Reasoning (Example 2) • Using Inductive Reasoning • Using Inductive Reasoning (Example 2) • Inductive & Deductive Reasoning • Deductive Reasoning • Using Deductive Reasoning
4
ACTIVITY 3 Unit 1: Proof, Parallel, and Perpendicular Lines
Geometry Curriculum Map
Key: Getting Ready Practice Mini-Lesson
PacingLevel of Instruction Resource Instructional Focus MAFS Learning Targets or Assessment Focus
1 45-min. period
On Grade Level
Core materials (p. 25)
Lesson 3-1 Geometric Definitions and Two-Column Proofs G-CO.1.1
• Distinguish between undefined and defined terms.• Use properties to complete algebraic two-column
proofs.
15–25 min.
On Grade Level
Core materials (p. 28) Lesson 3-1 Practice Opportunity to apply knowledge and practice skills developed in the lesson.
10 min. On Grade Level
SpringBoard Digital / Assessments
Lesson 3-1 Quiz Opportunity to demonstrate knowledge and skills developed in the lesson.
1 45-min. period
On Grade Level
Core materials (p. 29) Lesson 3-2 Conditional Statements MP.1, MP.2
• Identify the hypothesis and conclusion of a conditional statement.
• Give counterexamples for false conditional statements.
15–25 min.
On Grade Level
Geometry Skills Workshop (p. 24)
Writing Math G-CO.3.9 • Use symbols to write conditional statements.
15–25 min.
On Grade Level
Core materials (p. 31) Lesson 3-2 Practice Opportunity to apply knowledge and practice skills developed in the lesson.
10 min. On Grade Level
SpringBoard Digital / Assessments
Lesson 3-2 Quiz Opportunity to demonstrate knowledge and skills developed in the lesson.
1 45-min. period
On Grade Level
Core materials (p. 32) Lesson 3-3 Converse, Inverse, and Contrapositive MP.1, MP.3
• Write and determine the truth value of the converse, inverse, and contrapositive of a conditional statement.
• Write and interpret biconditional statements.
15–25 min.
On Grade Level
Core materials (p. 34) Lesson 3-3 Practice Opportunity to apply knowledge and practice skills developed in the lesson.
10 min. On Grade Level
SpringBoard Digital / Assessments
Lesson 3-3 Quiz Opportunity to demonstrate knowledge and skills developed in the lesson.
1 45-min. period
On Grade Level
Core materials (p. 35) Activity 3 Practice Opportunity to apply knowledge and practice skills developed in the activity.
1 45-min. period
On Grade Level
Core materials (p. 37)
Embedded Assessment 1 Geometric Figures and Basic Reasoning—The Art and Math of Folding Paper
G-CO.1.1
Assessment Focus• Geometric relationships• Conditional statements• Making conjectures
5
ACTIVITY 4 Unit 1: Proof, Parallel, and Perpendicular Lines
Geometry Curriculum Map
Key: Getting Ready Practice Mini-Lesson
PacingLevel of Instruction Resource Instructional Focus MAFS Learning Targets or Assessment Focus
15–25 min.
On Grade Level
Core materials (p. 61)
Unpacking Embedded Assessment 2 Distance, Midpoint, and Angle Measurement—A Walk in the Park
G-CO.1.1Assessment Focus• Segments and angles• Distance and bisectors
1 45-min. period
On Grade Level
Core materials (p. 39) Lesson 4-1 Segments and Midpoints G-CO.1.1
• Apply the Segment Addition Postulate to find lengths of segments.
• Use the definition of midpoint to find lengths of segments.
15–25 min.
On Grade Level
Core materials (p. 44) Lesson 4-1 Practice Opportunity to apply knowledge and practice skills developed in the lesson.
10 min. On Grade Level
SpringBoard Digital / Assessments
Lesson 4-1 Quiz Opportunity to demonstrate knowledge and skills developed in the lesson.
1 45-min. period
On Grade Level
Core materials (p. 45) Lesson 4-2 Angles and Angle Bisectors G-CO.1.1
• Apply the Angle Addition Postulate to find angle measures.
• Use the definition of angle bisector to find angle measures.
15–25 min.
On Grade Level
Core materials (p. 48) Lesson 4-2 Practice Opportunity to apply knowledge and practice skills developed in the lesson.
10 min. On Grade Level
SpringBoard Digital / Assessments
Lesson 4-2 Quiz Opportunity to demonstrate knowledge and skills developed in the lesson.
1 45-min. period
On Grade Level
Core materials (p. 49) Activity 4 Practice Opportunity to apply knowledge and practice skills developed in the activity.
View Khan Academy Videos: Equation Practice with Segment Addition • Equation Practice with Midpoints • Intro to Angle Bisector Theorem • Using the Angle Bisector Theorem
6
ACTIVITY 5 Unit 1: Proof, Parallel, and Perpendicular Lines
Geometry Curriculum Map
Key: Getting Ready Practice Mini-Lesson
PacingLevel of Instruction Resource Instructional Focus MAFS Learning Targets or Assessment Focus
1 45-min. period
On Grade Level
Core materials (p. 51) Lesson 5-1 Distance on the Coordinate Plane G-GPE.2.6
• Derive the Distance Formula.• Use the Distance Formula to find the distance
between two points on the coordinate plane.
10 min. Approaching Grade Level
Geometry Skills Workshop (p. 27)
Working With Square Roots N-RN.1.2 • Use the properties of exponents to rewrite radical expressions.
15–25 min.
On Grade Level
Core materials (p. 55) Lesson 5-1 Practice Opportunity to apply knowledge and practice skills developed in the lesson.
10 min. On Grade Level
SpringBoard Digital / Assessments
Lesson 5-1 Quiz Opportunity to demonstrate knowledge and skills developed in the lesson.
1 45-min. period
On Grade Level
Core materials (p. 56) Lesson 5-2 Midpoint on the Coordinate Plane G-GPE.2.6
• Use inductive reasoning to determine the Midpoint Formula.
• Use the Midpoint Formula to find the coordinates of the midpoint of a segment on the coordinate plane.
10 min. On Grade Level
Geometry Skills Workshop (p. 29)
Distance and Midpoint with Three Dimensions
G-GPE.2.7 • Find the distance and midpoint between coordinates given in three dimensions.
15–25 min.
On Grade Level
Core materials (p. 58) Lesson 5-2 Practice Opportunity to apply knowledge and practice skills developed in the lesson.
10 min. On Grade Level
SpringBoard Digital / Assessments
Lesson 5-2 Quiz Opportunity to demonstrate knowledge and skills developed in the lesson.
1 45-min. period
On Grade Level
Core materials (p. 59) Activity 5 Practice Opportunity to apply knowledge and practice skills developed in the activity.
1 45-min. period
On Grade Level
Core materials (p. 61)
Embedded Assessment 2Distance, Midpoint, and Angle Measurement—A Walk in the Park
G-CO.1.1Assessment Focus• Segments and angles• Distance and bisectors
View Khan Academy Videos: Distance Formula • Midpoint Formula
7
ACTIVITY 6 Unit 1: Proof, Parallel, and Perpendicular Lines
Geometry Curriculum Map
Key: Getting Ready Practice Mini-Lesson
PacingLevel of Instruction Resource Instructional Focus MAFS Learning Targets or Assessment Focus
15–25 min.
On Grade Level
Core materials (p. 99)
Unpacking Embedded Assessment 3 Angles, Parallel Lines, and Perpendicular Lines—Graph of Steel
G-CO.3.9, G-GPE.2.5Assessment Focus• Segments and angles• Distance and bisectors
1 45-min. period
On Grade Level
Core materials (p. 63) Lesson 6-1 Justifying Statements G-CO.3.9
• Use definitions, properties, and theorems to justify a statement.
• Write two-column proofs to prove theorems about lines and angles.
15–25 min.
On Grade Level
Core materials (p. 65) Lesson 6-1 Practice Opportunity to apply knowledge and practice skills developed in the lesson.
10 min. On Grade Level
SpringBoard Digital / Assessments
Lesson 6-1 Quiz Opportunity to demonstrate knowledge and skills developed in the lesson.
1 45-min. period
On Grade Level
Core materials (p. 66) Lesson 6-2 Two-Column Geometric Proofs G-CO.3.9
• Complete two-column proofs to prove theorems about segments.
• Complete two-column proofs to prove theorems about angles.
15–25 min.
On Grade Level
Core materials (p. 70) Lesson 6-2 Practice Opportunity to apply knowledge and practice skills developed in the lesson.
10 min. On Grade Level
SpringBoard Digital / Assessments
Lesson 6-2 Quiz Opportunity to demonstrate knowledge and skills developed in the lesson.
1 45-min. period
On Grade Level
Core materials (p. 71) Activity 6 Practice Opportunity to apply knowledge and practice skills developed in the activity.
View Khan Academy Video: Vertical Angles are Congruent Proof
8
ACTIVITY 7 Unit 1: Proof, Parallel, and Perpendicular Lines
Geometry Curriculum Map
Key: Getting Ready Practice Mini-Lesson
PacingLevel of Instruction Resource Instructional Focus MAFS Learning Targets or Assessment Focus
1 45-min. period
On Grade Level
Core materials (p. 73)
Lesson 7-1 Parallel Lines and Angle Relationships G-CO.3.9
• Make conjectures about the angles formed by a pair of parallel lines and a transversal.
• Prove theorems about these angles.
15–25 min.
On Grade Level
Core materials (p. 78) Lesson 7-1 Practice Opportunity to apply knowledge and practice skills developed in the lesson.
10 min. On Grade Level
SpringBoard Digital / Assessments
Lesson 7-1 Quiz Opportunity to demonstrate knowledge and skills developed in the lesson.
1 45-min. period
On Grade Level
Core materials (p. 79) Lesson 7-2 Proving Lines are Parallel G-CO.3.9 • Develop theorems to show that lines are parallel.
• Determine whether lines are parallel.
15–25 min.
On Grade Level
Core materials (p. 83) Lesson 7-2 Practice Opportunity to apply knowledge and practice skills developed in the lesson.
10 min. On Grade Level
SpringBoard Digital / Assessments
Lesson 7-2 Quiz Opportunity to demonstrate knowledge and skills developed in the lesson.
1 45-min. period
On Grade Level
Core materials (p. 84) Lesson 7-3 Perpendicular Lines G-CO.3.9
• Develop theorems to show that lines are perpendicular.
• Determine whether lines are perpendicular.
15–25 min.
On Grade Level
Core materials (p. 86) Lesson 7-3 Practice Opportunity to apply knowledge and practice skills developed in the lesson.
10 min. On Grade Level
SpringBoard Digital / Assessments
Lesson 7-3 Quiz Opportunity to demonstrate knowledge and skills developed in the lesson.
1 45-min. period
On Grade Level
Core materials (p. 87) Activity 7 Practice Opportunity to apply knowledge and practice skills developed in the activity.
View Khan Academy Videos: Angles, Parallel Lines, & Transversals • Missing Angles with a Transversal • Parallel Lines & Corresponding Angles Proof • Parallel & Perpendicular Lines
9
ACTIVITY 8 Unit 1: Proof, Parallel, and Perpendicular Lines
Geometry Curriculum Map
Key: Getting Ready Practice Mini-Lesson
PacingLevel of Instruction Resource Instructional Focus MAFS Learning Targets or Assessment Focus
1 45-min. period
On Grade Level
Core materials (p. 89)
Lesson 8-1 Slopes of Parallel and Perpendicular Lines G-GPE.2.5
• Make conjectures about the slopes of parallel and perpendicular lines.
• Use slope to determine whether lines are parallel or perpendicular.
15–25 min.
On Grade Level
Core materials (p. 91) Lesson 8-1 Practice Opportunity to apply knowledge and practice skills developed in the lesson.
10 min. On Grade Level
SpringBoard Digital / Assessments
Lesson 8-1 Quiz Opportunity to demonstrate knowledge and skills developed in the lesson.
1 45-min. period
On Grade Level
Core materials (p. 92) Lesson 8-2 Writing Equations G-GPE.2.5
• Write the equation of a line that is parallel to a given line.
• Write the equation of a line that is perpendicular to a given line.
10 min. Approaching Grade Level
Geometry Skills Workshop (p. 31)
Connecting Standard and Slope-Intercept Form
F-IF.3.8 • Write an equation in different but equivalent forms.
15–25 min.
On Grade Level
Core materials (p. 96) Lesson 8-2 Practice Opportunity to apply knowledge and practice skills developed in the lesson.
10 min. On Grade Level
SpringBoard Digital / Assessments
Lesson 8-2 Quiz Opportunity to demonstrate knowledge and skills developed in the lesson.
1 45-min. period
On Grade Level
Core materials (p. 97) Activity 8 Practice Opportunity to apply knowledge and practice skills developed in the activity.
1 45-min. period
On Grade Level
Core materials (p. 99)
Embedded Assessment 3 Angles, Parallel Lines, and Perpendicular Lines—Graph of Steel
G-CO.3.9, G-GPE.2.5Assessment Focus• Segments and angles• Distance and bisectors
1 45-min. period
On Grade Level
SpringBoard Digital / Assessments
Unit 1 Assessments A/B Opportunity to demonstrate knowledge and skills developed in the unit.
10 min. per lesson
On Grade Level
Geometry Skills Workshop (p. 33) Additional Unit Practice Opportunity to apply knowledge and practice skills developed in the unit.
View Khan Academy Videos: Parallel Lines from Equation • Parallel Lines from Equation (Example 2) • Parallel Lines from Equation (Example 3) • Perpendicular Lines from Equation • Writing Equations of Perpendicular Lines • Writing Equations of Perpendicular Lines (Example 2)
10
ACTIVITY 9 Unit 2: Transformation, Triangles, and Quadrilaterals
Geometry Curriculum Map
Key: Getting Ready Practice Mini-Lesson
PacingLevel of Instruction Resource Instructional Focus MAFS Learning Targets or Assessment Focus
1 45-min. period
On Grade Level
Core materials (p. 101) Unit 2 Overview / Getting Ready
Assign the Getting Ready items to assess prerequisite skills necessary for Unit 2. As needed, assign resources at point of use over the course of the unit.
10 min. Approaching Grade Level
Geometry Skills Workshop (p. 52)
Finding a Value of a Function F-IF.1.2 • Evaluate functions at a given value.
10 min. Approaching Grade Level
Geometry Skills Workshop (p. 55)
Finding the Midpoint and Length of a Line Segment
8.G.2.8, N-CN.2.6 • Use the midpoint and distance formulas.
10 min. Approaching Grade Level
Geometry Skills Workshop (p. 58)
Finding the Slope Between Two Points 8.EE.2.6 • Find the slope between two points on a line.
10 min. Approaching Grade Level
Geometry Skills Workshop (p. 61)
Simplifying a Square Root Expression N-RN.1.2 • Simplify square root expressions.
10 min. Approaching Grade Level
Geometry Skills Workshop (p. 63)
Solving a Linear System 8.EE.3.8b • Solve a system of linear equations.
10 min. Approaching Grade Level
Geometry Skills Workshop (p. 66)
Solving a Quadratic Equation A-REI.2.4b • Solve quadratic equations.
10 min. Approaching Grade Level
Geometry Skills Workshop (p. 69)
Writing an Equation for the Graph of a Line 8.EE.2.6 • Write a linear equation in different forms.
10 min. Approaching Grade Level
Geometry Skills Workshop (p. 72)
Writing an Equation of a Line Given Two Points
A-CED.1.2 • Write an equation for the graph of a line using three forms of linear equations.
15–25 min.
On Grade Level
Core materials (p. 141)
Unpacking Embedded Assessment 1Transformations—Designing the Plaza
G-CO.1.2, G-CO.1.3, G-CO.1.5, G-CO.2.6
Assessment Focus• Rigid motions• Translations, reflections, and rotations
1 45-min. period
On Grade Level
Core materials (p. 103) Lesson 9-1 Transformations G-CO.1.2, G-CO.1.5,
G-CO.2.6
• Perform transformations on and off the coordinate plane.
• Identify characteristics of transformations that are rigid motions and characteristics of transformations that are non-rigid motions.
• Represent a transformation as a function using coordinates, and show how a figure is transformed by a function.
15–25 min.
On Grade Level
Core materials (p. 107) Lesson 9-1 Practice Opportunity to apply knowledge and practice skills developed in the lesson.
11
ACTIVITY 9 Unit 2: Transformation, Triangles, and Quadrilaterals
Geometry Curriculum Map
Key: Getting Ready Practice Mini-Lesson
PacingLevel of Instruction Resource Instructional Focus MAFS Learning Targets or Assessment Focus
10 min. On Grade Level
SpringBoard Digital / Assessments
Lesson 9-1 Quiz Opportunity to demonstrate knowledge and skills developed in the lesson.
1 45-min. period
On Grade Level
Core materials (p. 108) Lesson 9-2 Translations G-CO.1.5, G-CO.2.6
• Perform translations on and off the coordinate plane.
• Predict the effect of a translation on a figure.
15–25 min.
On Grade Level
Core materials (p. 111) Lesson 9-2 Practice Opportunity to apply knowledge and practice skills developed in the lesson.
10 min. On Grade Level
SpringBoard Digital / Assessments
Lesson 9-2 Quiz Opportunity to demonstrate knowledge and skills developed in the lesson.
1 45-min. period
On Grade Level
Core materials (p. 112) Lesson 9-3 Reflection G-CO.1.5 • Perform reflections on and off the coordinate plane.
• Identify reflectional symmetry in plane figures.
15–25 min.
On Grade Level
Core materials (p. 119) Lesson 9-3 Practice Opportunity to apply knowledge and practice skills developed in the lesson.
10 min. On Grade Level
SpringBoard Digital / Assessments
Lesson 9-3 Quiz Opportunity to demonstrate knowledge and skills developed in the lesson.
1 45-min. period
On Grade Level
Core materials (p. 120) Lesson 9-4 Rotations G-CO.1.5
• Perform rotations on and off the coordinate plane.• Identify and distinguish between reflectional and
rotational symmetry.
15–25 min.
On Grade Level
Core materials (p. 126) Lesson 9-4 Practice Opportunity to apply knowledge and practice skills developed in the lesson.
10 min. On Grade Level
SpringBoard Digital / Assessments
Lesson 9-4 Quiz Opportunity to demonstrate knowledge and skills developed in the lesson.
1 45-min. period
On Grade Level
Core materials (p. 127) Activity 9 Practice Opportunity to apply knowledge and practice skills developed in the activity.
View Khan Academy Videos: Identifying Transformations • Dilations Intro • Translating Shapes • Determining Translations • Translation Challenge Problem • Reflecting Points in the Coordinate Plane • Reflecting Points • Reflecting Shapes: Diagonal Line of Reflection • Determining Reflections • Determining Reflections (advanced) • Reflecting Shapes: Diagonal Line of Reflection • Rotating Shapes • Determining Rotations • Rotating Shapes: Center ≠ (0,0)
12
ACTIVITY 10 Unit 2: Transformation, Triangles, and Quadrilaterals
Geometry Curriculum Map
Key: Getting Ready Practice Mini-Lesson
PacingLevel of Instruction Resource Instructional Focus MAFS Learning Targets or Assessment Focus
1 45-min. period
On Grade Level
Core materials (p. 129) Lesson 10-1 Compositions of Transformations G-CO.1.5, G-CO.2.6
• Find the image of a figure under a composition of rigid motions.
• Find the pre-image of a figure under a composition of rigid motions.
15–25 min.
On Grade Level
Core materials (p. 133) Lesson 10-1 Practice Opportunity to apply knowledge and practice skills developed in the lesson.
10 min. On Grade Level
SpringBoard Digital / Assessments
Lesson 10-1 Quiz Opportunity to demonstrate knowledge and skills developed in the lesson.
1 45-min. period
On Grade Level
Core materials (p. 134) Lesson 10-2 Congruence G-CO.1.5, G-CO.2.6
• Determine whether given figures are congruent.• Specify a sequence of rigid motions that will carry
a given figure to a congruent figure.
15–25 min.
On Grade Level
Core materials (p. 138) Lesson 10-2 Practice Opportunity to apply knowledge and practice skills developed in the lesson.
10 min. On Grade Level
SpringBoard Digital / Assessments
Lesson 10-2 Quiz Opportunity to demonstrate knowledge and skills developed in the lesson.
1 45-min. period
On Grade Level
Core materials (p. 139) Activity 10 Practice Opportunity to apply knowledge and practice skills developed in the activity.
1 45-min. period
On Grade Level
Core materials (p. 141)
Embedded Assessment 1Transformations—Designing the Plaza
G-CO.1.2, G-CO.1.3, G-CO.1.5, G-CO.2.6
Assessment Focus• Rigid motions• Translations, reflections, and rotations
View Khan Academy Videos: Rigid Transformations Intro • Congruent Shapes & Transformations • Non-Congruent Shapes & Transformations
13
ACTIVITY 11 Unit 2: Transformation, Triangles, and Quadrilaterals
Geometry Curriculum Map
Key: Getting Ready Practice Mini-Lesson
PacingLevel of Instruction Resource Instructional Focus MAFS Learning Targets or Assessment Focus
15–25 min.
On Grade Level
Core materials (p. 179)
Unpacking Embedded Assessment 2Congruence, Triangles, and Proof—Building a Fitness Center
G-CO.2.7, G-CO.2.8, G-SRT.2.5
Assessment Focus• Geometric relationships• Conditional statements• Making conjectures
1 45-min. period
On Grade Level
Core materials (p. 143) Lesson 11-1 Congruent Triangles G-CO.2.7
• Use the fact that congruent triangles have congruent corresponding parts.
• Determine unknown angle measures or side lengths in congruent triangles.
15–25 min.
On Grade Level
Core materials (p. 146) Lesson 11-1 Practice Opportunity to apply knowledge and practice skills developed in the lesson.
10 min. On Grade Level
SpringBoard Digital / Assessments
Lesson 11-1 Quiz Opportunity to demonstrate knowledge and skills developed in the lesson.
1 45-min. period
On Grade Level
Core materials (p. 147) Lesson 11-2 Congruence Criteria G-CO.2.8
• Develop criteria for proving triangle congruence.• Determine which congruence criteria can be used
to show that two triangles are congruent.
15–25 min.
On Grade Level
Core materials (p. 153) Lesson 11-2 Practice Opportunity to apply knowledge and practice skills developed in the lesson.
10 min. On Grade Level
SpringBoard Digital / Assessments
Lesson 11-2 Quiz Opportunity to demonstrate knowledge and skills developed in the lesson.
1 45-min. period
On Grade Level
Core materials (p. 154)
Lesson 11-3 Proving and Applying the Congruence Criteria G-CO.2.8
• Prove that congruence criteria follow from the definition of congruence.
• Use the congruence criteria in simple proofs.
15–25 min.
On Grade Level
Core materials (p. 159) Lesson 11-3 Practice Opportunity to apply knowledge and practice skills developed in the lesson.
10 min. On Grade Level
SpringBoard Digital / Assessments
Lesson 11-3 Quiz Opportunity to demonstrate knowledge and skills developed in the lesson.
1 45-min. period
On Grade Level
Core materials (p. 160) Lesson 11-4 Extending the Congruence Criteria G-CO.2.8
• Apply congruence criteria to figures on the coordinate plane.
• Prove the AAS criterion and develop the HL criterion.
14
ACTIVITY 11 Unit 2: Transformation, Triangles, and Quadrilaterals
Geometry Curriculum Map
Key: Getting Ready Practice Mini-Lesson
PacingLevel of Instruction Resource Instructional Focus MAFS Learning Targets or Assessment Focus
15–25 min.
On Grade Level
Core materials (p. 164) Lesson 11-4 Practice Opportunity to apply knowledge and practice skills developed in the lesson.
10 min. On Grade Level
SpringBoard Digital / Assessments
Lesson 11-4 Quiz Opportunity to demonstrate knowledge and skills developed in the lesson.
1 45-min. period
On Grade Level
Core materials (p. 165) Activity 11 Practice Opportunity to apply knowledge and practice skills developed in the activity.
View Khan Academy Videos: Congruent Triangles & the SSS Postulate/Criterion • Corresponding Angles in Congruent Triangles • Determining Congruent Triangles • Triangle Congruence Postulates/Criteria • Why SSA isn't a Congruence Postulate/Criterion • Proofs Concerning Isosceles Triangles • Proofs Concerning Equilateral Triangles • Determining Congruent Triangles • Proofs Concerning Isosceles Triangles
15
ACTIVITY 12 Unit 2: Transformation, Triangles, and Quadrilaterals
Geometry Curriculum Map
Key: Getting Ready Practice Mini-Lesson
PacingLevel of Instruction Resource Instructional Focus MAFS Learning Targets or Assessment Focus
1 45-min. period
On Grade Level
Core materials (p. 167) Lesson 12-1 Flowchart Proofs G-SRT.2.5
• Write a simple flowchart proof as a two-column proof.
• Write a flowchart proof.
15–25 min.
On Grade Level
Core materials (p. 174) Lesson 12-1 Practice Opportunity to apply knowledge and practice skills developed in the lesson.
10 min. On Grade Level
SpringBoard Digital / Assessments
Lesson 12-1 Quiz Opportunity to demonstrate knowledge and skills developed in the lesson.
1 45-min. period
On Grade Level
Core materials (p. 175) Lesson 12-2 Three Types of Proofs G-SRT.2.5
• Write a proof in three different formats.• Write proofs using the fact that corresponding
parts of congruent triangles are congruent.
15–25 min.
On Grade Level
Core materials (p. 176) Lesson 12-2 Practice Opportunity to apply knowledge and practice skills developed in the lesson.
10 min. On Grade Level
SpringBoard Digital / Assessments
Lesson 12-2 Quiz Opportunity to demonstrate knowledge and skills developed in the lesson.
1 45-min. period
On Grade Level
Core materials (p. 177) Activity 12 Practice Opportunity to apply knowledge and practice skills developed in the activity.
1 45-min. period
On Grade Level
Core materials (p. 179)
Embedded Assessment 2Congruence, Triangles, and Proof—Building a Fitness Center
G-CO.2.7, G-CO.2.8, G-SRT.2.5
Assessment Focus• Geometric relationships• Conditional statements• Making conjectures
16
ACTIVITY 13 Unit 2: Transformation, Triangles, and Quadrilaterals
Geometry Curriculum Map
Key: Getting Ready Practice Mini-Lesson
PacingLevel of Instruction Resource Instructional Focus MAFS Learning Targets or Assessment Focus
15–25 min.
On Grade Level
Core materials (p. 203)
Unpacking Embedded Assessment 3Properties of Triangles—Where Does the Fountain Go?
G-CO.3.10, G-CO.4.12
Assessment Focus• Properties of triangles• Angles in triangles• Segments in triangles• Points of concurrency
1 45-min. period
On Grade Level
Core materials (p. 181) Lesson 13-1 Angle Relationships in Triangles G-CO.3.10 • Prove theorems about angle measures in triangles.
• Apply theorems about angle measures in triangles.
15–25 min.
On Grade Level
Core materials (p. 185) Lesson 13-1 Practice Opportunity to apply knowledge and practice skills developed in the lesson.
10 min. On Grade Level
SpringBoard Digital / Assessments
Lesson 13-1 Quiz Opportunity to demonstrate knowledge and skills developed in the lesson.
1 45-min. period
On Grade Level
Core materials (p. 186) Lesson 13-2 Isosceles Triangle G-CO.3.10 • Develop theorems about isosceles triangles.
• Prove theorems about isosceles triangles.
15–25 min.
On Grade Level
Core materials (p. 188) Lesson 13-2 Practice Opportunity to apply knowledge and practice skills developed in the lesson.
10 min. On Grade Level
SpringBoard Digital / Assessments
Lesson 13-2 Quiz Opportunity to demonstrate knowledge and skills developed in the lesson.
1 45-min. period
On Grade Level
Core materials (p. 189) Activity 13 Practice Opportunity to apply knowledge and practice skills developed in the activity.
View Khan Academy Videos: Angles in a Triangle Sum to 180° Proof • Triangle Exterior Angle Example • Worked Example: Triangle Angles (Intersecting Lines) • Worked Example: Triangle Angles (diagram) • Triangle Angle Challenge Problem 2 • Finding Angles in Isosceles Triangles L • Finding Angles in Isosceles Triangles (Example 2)
17
ACTIVITY 14 Unit 2: Transformation, Triangles, and Quadrilaterals
Geometry Curriculum Map
Key: Getting Ready Practice Mini-Lesson
PacingLevel of Instruction Resource Instructional Focus MAFS Learning Targets or Assessment Focus
1 45-min. period
On Grade Level
Core materials (p. 191) Lesson 14-1 Altitudes of a Triangle G-CO.3.10
• Determine the point of concurrency of the altitudes of a triangle.
• Use the point of concurrency of the altitudes of a triangle to solve problems.
15–25 min.
On Grade Level
Core materials (p. 194) Lesson 14-1 Practice Opportunity to apply knowledge and practice skills developed in the lesson.
10 min. On Grade Level
SpringBoard Digital / Assessments
Lesson 14-1 Quiz Opportunity to demonstrate knowledge and skills developed in the lesson.
1 45-min. period
On Grade Level
Core materials (p. 195) Lesson 14-2 Medians of a Triangle G-CO.3.10
• Determine the point of concurrency of the medians of a triangle.
• Use the point of concurrency of the medians of a triangle to solve problems.
10 min. Approaching Grade Level
Geometry Skills Workshop (p. 74)
Solving Systems of Equations A-REI.3.6 • Solve systems of equations.
15–25 min.
On Grade Level
Core materials (p. 197) Lesson 14-2 Practice Opportunity to apply knowledge and practice skills developed in the lesson.
10 min. On Grade Level
SpringBoard Digital / Assessments
Lesson 14-2 Quiz Opportunity to demonstrate knowledge and skills developed in the lesson.
1 45-min. period
On Grade Level
Core materials (p. 198)
Lesson 14-3 Perpendicular Bisectors and Angle Bisectors of a Triangle G-CO.3.10
• Determine the points of concurrency of the perpendicular bisectors and the angle bisectors of a triangle.
• Use the points of concurrency of the perpendicular bisectors and the angle bisectors of a triangle to solve problems.
15–25 min.
On Grade Level
Core materials (p. 200) Lesson 14-3 Practice Opportunity to apply knowledge and practice skills developed in the lesson.
10 min. On Grade Level
SpringBoard Digital / Assessments
Lesson 14-3 Quiz Opportunity to demonstrate knowledge and skills developed in the lesson.
1 45-min. period
On Grade Level
Core materials (p. 201) Activity 14 Practice Opportunity to apply knowledge and practice skills developed in the activity.
18
ACTIVITY 14 Unit 2: Transformation, Triangles, and Quadrilaterals
Geometry Curriculum Map
Key: Getting Ready Practice Mini-Lesson
PacingLevel of Instruction Resource Instructional Focus MAFS Learning Targets or Assessment Focus
1 45-min. period
On Grade Level
Core materials (p. 203)
Embedded Assessment 3Properties of Triangles—Where Does the Fountain Go?
G-CO.3.10, G-CO.4.12
Assessment Focus• Properties of triangles• Angles in triangles• Segments in triangles• Points of concurrency
View Khan Academy Videos: Proof: Triangle Altitudes are Concurrent (Orthocenter) • Common Orthocenter and Centroid • Triangle Medians & Centroids • Triangle Medians and Centroids (2D Proof) • Dividing Triangles with Medians • Centroid & Median Proof • Median, Centroid Example • Circumcenter of a Triangle • Circumcenter of a Right Triangle
19
ACTIVITY 15 Unit 2: Transformation, Triangles, and Quadrilaterals
Geometry Curriculum Map
Key: Getting Ready Practice Mini-Lesson
PacingLevel of Instruction Resource Instructional Focus MAFS Learning Targets or Assessment Focus
15–25 min.
On Grade Level
Core materials (p. 237)
Unpacking Embedded Assessment 4Quadrilaterals—Lucy Latimer’s Logo G-CO.3.9, G-CO.3.11
Assessment Focus• Properties of quadrilaterals• Identifying special quadrilaterals
1 45-min. period
On Grade Level
Core materials (p. 205) Lesson 15-1 Kites and Triangle Midsegments G-CO.3.10, G-CO.3.11 • Develop properties of kites.
• Prove the Triangle Midsegment Theorem.
15–25 min.
On Grade Level
Core materials (p. 208) Lesson 15-1 Practice Opportunity to apply knowledge and practice skills developed in the lesson.
10 min. On Grade Level
SpringBoard Digital / Assessments
Lesson 15-1 Quiz Opportunity to demonstrate knowledge and skills developed in the lesson.
1 45-min. period
On Grade Level
Core materials (p. 209) Lesson 15-2 Trapezoids G-CO.3.11 • Develop properties of trapezoids.
• Prove properties of trapezoids.
15–25 min.
On Grade Level
Core materials (p. 212) Lesson 15-2 Practice Opportunity to apply knowledge and practice skills developed in the lesson.
10 min. On Grade Level
SpringBoard Digital / Assessments
Lesson 15-2 Quiz Opportunity to demonstrate knowledge and skills developed in the lesson.
1 45-min. period
On Grade Level
Core materials (p. 213) Lesson 15-3 Parallelograms G-CO.3.11 • Develop properties of parallelograms.
• Prove properties of parallelograms.
15–25 min.
On Grade Level
Core materials (p. 215) Lesson 15-3 Practice Opportunity to apply knowledge and practice skills developed in the lesson.
10 min. On Grade Level
SpringBoard Digital / Assessments
Lesson 15-3 Quiz Opportunity to demonstrate knowledge and skills developed in the lesson.
1 45-min. period
On Grade Level
Core materials (p. 216)
Lesson 15-4 Rectangles, Rhombuses, and Squares G-CO.3.11
• Develop properties of rectangles, rhombuses, and squares.
• Prove properties of rectangles, rhombuses, and squares.
15–25 min.
On Grade Level
Core materials (p. 220) Lesson 15-4 Practice Opportunity to apply knowledge and practice skills developed in the lesson.
10 min. On Grade Level
SpringBoard Digital / Assessments
Lesson 15-4 Quiz Opportunity to demonstrate knowledge and skills developed in the lesson.
20
ACTIVITY 15 Unit 2: Transformation, Triangles, and Quadrilaterals
Geometry Curriculum Map
Key: Getting Ready Practice Mini-Lesson
PacingLevel of Instruction Resource Instructional Focus MAFS Learning Targets or Assessment Focus
1 45-min. period
On Grade Level
Core materials (p. 221) Activity 15 Practice Opportunity to apply knowledge and practice skills developed in the activity.
View Khan Academy Videos: Kites as a Geometric Shape • Proof: The Diagonals of a Kite are Perpendicular • Quadrilateral Properties • Quadrilateral Types • Classifying Quadrilaterals • Proof: Opposite Sides of a Parallelogram • Proof: Opposite Angles of a Parallelogram • Proof: Diagonals of a Parallelogram • Proof: Rhombus Diagonals are Perpendicular Bisectors • Proof: Rhombus Area
21
ACTIVITY 16 Unit 2: Transformation, Triangles, and Quadrilaterals
Geometry Curriculum Map
Key: Getting Ready Practice Mini-Lesson
PacingLevel of Instruction Resource Instructional Focus MAFS Learning Targets or Assessment Focus
1 45-min. period
On Grade Level
Core materials (p. 223)
Lesson 16-1 Proving a Quadrilateral Is a Parallelogram G-CO.3.11
• Develop criteria for showing that a quadrilateral is a parallelogram.
• Prove that a quadrilateral is a parallelogram.
15–25 min.
On Grade Level
Core materials (p. 226) Lesson 16-1 Practice Opportunity to apply knowledge and practice skills developed in the lesson.
10 min. On Grade Level
SpringBoard Digital / Assessments
Lesson 16-1 Quiz Opportunity to demonstrate knowledge and skills developed in the lesson.
1 45-min. period
On Grade Level
Core materials (p. 227)
Lesson 16-2 Proving a Quadrilateral Is a Rectangle G-CO.3.11
• Develop criteria for showing that a quadrilateral is a rectangle.
• Prove that a quadrilateral is a rectangle.
15–25 min.
On Grade Level
Core materials (p. 229) Lesson 16-2 Practice Opportunity to apply knowledge and practice skills developed in the lesson.
10 min. On Grade Level
SpringBoard Digital / Assessments
Lesson 16-2 Quiz Opportunity to demonstrate knowledge and skills developed in the lesson.
1 45-min. period
On Grade Level
Core materials (p. 230)
Lesson 16-3 Proving a Quadrilateral Is a Rhombus G-CO.3.11
• Develop criteria for showing that a quadrilateral is a rhombus.
• Prove that a quadrilateral is a rhombus.
15–25 min.
On Grade Level
Core materials (p. 232) Lesson 16-3 Practice Opportunity to apply knowledge and practice skills developed in the lesson.
10 min. On Grade Level
SpringBoard Digital / Assessments
Lesson 16-3 Quiz Opportunity to demonstrate knowledge and skills developed in the lesson.
1 45-min. period
On Grade Level
Core materials (p. 233) Lesson 16-4 Proving a Quadrilateral Is a Square G-CO.3.11
• Develop criteria for showing that a quadrilateral is a square.
• Prove that a quadrilateral is a square.
15–25 min.
On Grade Level
Core materials (p. 234) Lesson 16-4 Practice Opportunity to apply knowledge and practice skills developed in the lesson.
10 min. On Grade Level
SpringBoard Digital / Assessments
Lesson 16-4 Quiz Opportunity to demonstrate knowledge and skills developed in the lesson.
22
ACTIVITY 16 Unit 2: Transformation, Triangles, and Quadrilaterals
Geometry Curriculum Map
Key: Getting Ready Practice Mini-Lesson
PacingLevel of Instruction Resource Instructional Focus MAFS Learning Targets or Assessment Focus
1 45-min. period
On Grade Level
Core materials (p. 235) Activity 16 Practice Opportunity to apply knowledge and practice skills developed in the activity.
1 45-min. period
On Grade Level
Core materials (p. 237)
Embedded Assessment 4Quadrilaterals—Lucy Latimer’s Logo G-CO.3.9, G-CO.3.11
Assessment Focus• Properties of quadrilaterals• Identifying special quadrilaterals
1 45-min. period
On Grade Level
SpringBoard Digital / Assessments
Unit 2 Assessments A/B Opportunity to demonstrate knowledge and skills developed in the unit.
10 min. per lesson
On Grade Level
Geometry Skills Workshop (p. 76) Additional Unit Practice Opportunity to apply knowledge and practice skills developed in the unit.
View Khan Academy Videos: Quadrilateral Properties • Classifying Quadrilaterals
23
ACTIVITY 17 Unit 3: Similarity and Trigonometry
Geometry Curriculum Map
Key: Getting Ready Practice Mini-Lesson
PacingLevel of Instruction Resource Instructional Focus MAFS Learning Targets or Assessment Focus
1 45-min. period
On Grade Level
Core materials (p. 239) Unit 3 Overview / Getting Ready
Assign the Getting Ready items to assess prerequisite skills necessary for Unit 3. As needed, assign resources at point of use over the course of the unit.
10 min. Approaching Grade Level
Geometry Skills Workshop (p. 102)
Finding the Distance Between Two Points 8.G.2.8 • Find the distance between two points.
10 min. Approaching Grade Level
Geometry Skills Workshop (p. 104)
Finding the Length of the Side of a Right Triangle
8.G.2.7 • Find the length of a side of a right triangle.
10 min. Approaching Grade Level
Geometry Skills Workshop (p. 107)
Identifying Angle Relationships of Parallel Lines Cut by a Transversal
G-CO.3.9 • Identify angle relationships of parallel lines cut by a transversal.
10 min. Approaching Grade Level
Geometry Skills Workshop (p. 110)
Simplifying a Square Root Expression N-RN.1.2 • Simplify square root expressions.
10 min. Approaching Grade Level
Geometry Skills Workshop (p. 113)
Simplifying Expressions Involving Square Roots
N-RN.1.2 • Simplify algebraic expressions involving square roots.
10 min. Approaching Grade Level
Geometry Skills Workshop (p. 115)
Solving a Literal Equation A-CED.1.4 • Solve a literal equation for a given variable.
10 min. Approaching Grade Level
Geometry Skills Workshop (p. 118)
Solving a Multistep Problem Using Proportional Relationships
7.RP.1.3 • Use properties of similar triangles to solve problems.
10 min. Approaching Grade Level
Geometry Skills Workshop (p. 121)
Solving a One-Variable Equation A-REI.2.3, A-REI.2.4b • Solve one-variable equations.
10 min. Approaching Grade Level
Geometry Skills Workshop (p. 125)
Translating a Figure G-CO.1.2 • Use translations to map figures.
15–25 min.
On Grade Level
Core materials (p. 273)
Unpacking Embedded Assessment 1 Similarity in Polygons—Monitoring Progress G-SRT.1.2, G-SRT.2.5
Assessment Focus• Properties of similar figures• Similarity transformations
1 45-min. period
On Grade Level
Core materials (p. 241) Lesson 17-1 Dilations G-SRT.1.1 • Perform dilations on and off the coordinate plane.
• Describe dilations.
24
ACTIVITY 17 Unit 3: Similarity and Trigonometry
Geometry Curriculum Map
Key: Getting Ready Practice Mini-Lesson
PacingLevel of Instruction Resource Instructional Focus MAFS Learning Targets or Assessment Focus
15–25 min.
On Grade Level
Core materials (p. 247) Lesson 17-1 Practice Opportunity to apply knowledge and practice skills developed in the lesson.
10 min. On Grade Level
SpringBoard Digital / Assessments
Lesson 17-1 Quiz Opportunity to demonstrate knowledge and skills developed in the lesson.
1 45-min. period
On Grade Level
Core materials (p. 248) Lesson 17-2 Similarity Transformations G-SRT.1.2
• Understand the meaning of similarity transformations.
• Use similarity transformations to determine whether figures are similar.
15–25 min.
On Grade Level
Core materials (p. 251) Lesson 17-2 Practice Opportunity to apply knowledge and practice skills developed in the lesson.
10 min. On Grade Level
SpringBoard Digital / Assessments
Lesson 17-2 Quiz Opportunity to demonstrate knowledge and skills developed in the lesson.
1 45-min. period
On Grade Level
Core materials (p. 252) Lesson 17-3 Properties of Similar Figures G-SRT.1.2 • Identify properties of similar figures.
• Apply properties of similar figures.
15–25 min.
On Grade Level
Core materials (p. 254) Lesson 17-3 Practice Opportunity to apply knowledge and practice skills developed in the lesson.
10 min. On Grade Level
SpringBoard Digital / Assessments
Lesson 17-3 Quiz Opportunity to demonstrate knowledge and skills developed in the lesson.
1 45-min. period
On Grade Level
Core materials (p. 255) Activity 17 Practice Opportunity to apply knowledge and practice skills developed in the activity.
View Khan Academy Videos: Dilating Shapes: Expanding • Dilating Shapes: Shrinking • Dilations: Center • Dilations and Properties • Side Lengths after Dilation • Similar Shapes & Transformations • Determining Similar Triangles
25
ACTIVITY 18 Unit 3: Similarity and Trigonometry
Geometry Curriculum Map
Key: Getting Ready Practice Mini-Lesson
PacingLevel of Instruction Resource Instructional Focus MAFS Learning Targets or Assessment Focus
1 45-min. period
On Grade Level
Core materials (p. 257) Lesson 18-1 Similarity Criteria G-SRT.1.3, G-SRT.2.4,
G-SRT.2.5• Develop criteria for triangle similarity.• Prove the AA similarity criterion.
15–25 min.
On Grade Level
Core materials (p. 261) Lesson 18-1 Practice Opportunity to apply knowledge and practice skills developed in the lesson.
10 min. On Grade Level
SpringBoard Digital / Assessments
Lesson 18-1 Quiz Opportunity to demonstrate knowledge and skills developed in the lesson.
1 45-min. period
On Grade Level
Core materials (p. 262) Lesson 18-2 Using Similarity Criteria G-SRT.2.5 • Show triangles are similar.
• Use similar triangles to solve problems.
15–25 min.
On Grade Level
Core materials (p. 264) Lesson 18-2 Practice Opportunity to apply knowledge and practice skills developed in the lesson.
10 min. On Grade Level
SpringBoard Digital / Assessments
Lesson 18-2 Quiz Opportunity to demonstrate knowledge and skills developed in the lesson.
1 45-min. period
On Grade Level
Core materials (p. 265) Lesson 18-3 Triangle Proportionality Theorem G-SRT.2.4, G-SRT.2.5
• Prove the Triangle Proportionality Theorem and its converse.
• Apply the Triangle Proportionality Theorem and its converse.
15–25 min.
On Grade Level
Core materials (p. 270) Lesson 18-3 Practice Opportunity to apply knowledge and practice skills developed in the lesson.
10 min. On Grade Level
SpringBoard Digital / Assessments
Lesson 18-3 Quiz Opportunity to demonstrate knowledge and skills developed in the lesson.
1 45-min. period
On Grade Level
Core materials (p. 271) Activity 18 Practice Opportunity to apply knowledge and practice skills developed in the activity.
1 45-min. period
On Grade Level
Core materials (p. 273)
Embedded Assessment 1 Similarity in Polygons—Monitoring Progress G-SRT.1.2, G-SRT.2.5
Assessment Focus• Properties of similar figures• Similarity transformations
View Khan Academy Videos: Intro to Triangle Similarity • Triangle Similarity Postulates/Criteria • Determining Similar Triangles • Solving Similar Triangles: Same Side Plays Different Roles • Using Similar & Congruent Triangles • Challenging Similarity Problem • Solving Similar Triangles • Proving Slope is Constant Using Similarity
26
ACTIVITY 19 Unit 3: Similarity and Trigonometry
Geometry Curriculum Map
Key: Getting Ready Practice Mini-Lesson
PacingLevel of Instruction Resource Instructional Focus MAFS Learning Targets or Assessment Focus
15–25 min.
On Grade Level
Core materials (p. 301)
Unpacking Embedded Assessment 2 Right Triangles—Powered by the Wind
G-SRT.2.4, G-SRT.2.5, G-SRT.3.8
Assessment Focus• Altitudes of right triangles and geometric means• Proving and applying the Pythagorean Theorem• Relationships in special right triangles
1 45-min. period
On Grade Level
Core materials (p. 275)
Lesson 19-1 The Right Triangle Altitude Theorem G-SRT.2.5
• Identify the relationships that exist when an altitude is drawn to the hypotenuse of a right triangle.
• Prove the Right Triangle Altitude Theorem.
15–25 min.
On Grade Level
Core materials (p. 277) Lesson 19-1 Practice Opportunity to apply knowledge and practice skills developed in the lesson.
10 min. On Grade Level
SpringBoard Digital / Assessments
Lesson 19-1 Quiz Opportunity to demonstrate knowledge and skills developed in the lesson.
1 45-min. period
On Grade Level
Core materials (p. 278) Lesson 19-2 The Geometric Mean G-SRT.2.5
• Identify the relationships that exist when an altitude is drawn to the hypotenuse of a right triangle.
• Apply the relationships that exist when an altitude is drawn to the hypotenuse of a right triangle.
15–25 min.
On Grade Level
Core materials (p. 281) Lesson 19-2 Practice Opportunity to apply knowledge and practice skills developed in the lesson.
10 min. On Grade Level
SpringBoard Digital / Assessments
Lesson 19-2 Quiz Opportunity to demonstrate knowledge and skills developed in the lesson.
1 45-min. period
On Grade Level
Core materials (p. 281) Activity 19 Practice Opportunity to apply knowledge and practice skills developed in the activity.
27
ACTIVITY 20 Unit 3: Similarity and Trigonometry
Geometry Curriculum Map
Key: Getting Ready Practice Mini-Lesson
PacingLevel of Instruction Resource Instructional Focus MAFS Learning Targets or Assessment Focus
1 45-min. period
On Grade Level
Core materials (p. 283) Lesson 20-1 Pythagorean Theorem G-SRT.2.4, G-SRT.3.8
• Use similar triangles to prove the Pythagorean Theorem.
• Apply the Pythagorean Theorem to solve problems.
15–25 min.
On Grade Level
Core materials (p. 285) Lesson 20-1 Practice Opportunity to apply knowledge and practice skills developed in the lesson.
10 min. On Grade Level
SpringBoard Digital / Assessments
Lesson 20-1 Quiz Opportunity to demonstrate knowledge and skills developed in the lesson.
1 45-min. period
On Grade Level
Core materials (p. 286)
Lesson 20-2 Converse of the Pythagorean Theorem G-SRT.3.8
• Use the converse of the Pythagorean Theorem to solve problems.
• Develop and apply Pythagorean inequalities.
15–25 min.
On Grade Level
Core materials (p. 288) Lesson 20-2 Practice Opportunity to apply knowledge and practice skills developed in the lesson.
10 min. On Grade Level
SpringBoard Digital / Assessments
Lesson 20-2 Quiz Opportunity to demonstrate knowledge and skills developed in the lesson.
1 45-min. period
On Grade Level
Core materials (p. 289) Activity 20 Practice Opportunity to apply knowledge and practice skills developed in the activity.
View Khan Academy Videos: Intro to the Pythagorean Theorem • Intro to the Pythagorean Theorem 2 • Pythagorean Theorem Proof Using Similarity • Pythagorean Theorem Word Problem: Fishing Boat • Pythagorean Theorem Example • Pythagorean Theorem Word Problem: Carpet • Pythagorean Theorem with Isosceles Triangle
28
ACTIVITY 21 Unit 3: Similarity and Trigonometry
Geometry Curriculum Map
Key: Getting Ready Practice Mini-Lesson
PacingLevel of Instruction Resource Instructional Focus MAFS Learning Targets or Assessment Focus
1 45-min. period
On Grade Level
Core materials (p. 291) Lesson 21-1 45°-45°-90° Triangles G-SRT.3.8
• Describe the relationships among the side lengths of 45°-45°-90° triangles.
• Apply relationships in special right triangles to solve problems.
15–25 min.
On Grade Level
Core materials (p. 294) Lesson 21-1 Practice Opportunity to apply knowledge and practice skills developed in the lesson.
10 min. On Grade Level
SpringBoard Digital / Assessments
Lesson 21-1 Quiz Opportunity to demonstrate knowledge and skills developed in the lesson.
1 45-min. period
On Grade Level
Core materials (p. 295) Lesson 21-2 30°-60°-90° Triangles G-SRT.3.8
• Describe the relationships among the side lengths of 30°-60°-90° triangles.
• Apply relationships in special right triangles to solve problems.
15–25 min.
On Grade Level
Core materials (p. 297) Lesson 21-2 Practice Opportunity to apply knowledge and practice skills developed in the lesson.
10 min. On Grade Level
SpringBoard Digital / Assessments
Lesson 21-2 Quiz Opportunity to demonstrate knowledge and skills developed in the lesson.
1 45-min. period
On Grade Level
Core materials (p. 299) Activity 21 Practice Opportunity to apply knowledge and practice skills developed in the activity.
1 45-min. period
On Grade Level
Core materials (p. 301)
Embedded Assessment 2 Right Triangles—Powered by the Wind
G-SRT.2.4, G-SRT.2.5, G-SRT.3.8
Assessment Focus• Altitudes of right triangles and geometric means• Proving and applying the Pythagorean Theorem• Relationships in special right triangles
View Khan Academy Videos: Special Right Triangles Intro (Part 1) • Special Right Triangles Proof (Part 2) • Special Right Triangles Intro (Part 2) • 30-60-90 Triangle Example Problem • Special Right Triangles Proof (Part 1)
29
ACTIVITY 22 Unit 3: Similarity and Trigonometry
Geometry Curriculum Map
Key: Getting Ready Practice Mini-Lesson
PacingLevel of Instruction Resource Instructional Focus MAFS Learning Targets or Assessment Focus
15–25 min.
On Grade Level
Core materials (p. 331)
Unpacking Embedded Assessment 3 Trigonometry—Zipping Along
G-SRT.3.6, G-SRT.3.7, G-SRT.3.8, G-SRT.4.10(+), G-SRT.4.11(+), G-MG.1.1
Assessment Focus• Trigonometric functions• Law of Sines• Law of Cosines• Solving triangles
1 45-min. period
On Grade Level
Core materials (p. 303) Lesson 22-1 Similar Right Triangles G-SRT.3.6
• Find ratios of side lengths in similar right triangles.• Given an acute angle of a right triangle, identify the
opposite leg and adjacent leg.
15–25 min.
On Grade Level
Core materials (p. 307) Lesson 22-1 Practice Opportunity to apply knowledge and practice skills developed in the lesson.
10 min. On Grade Level
SpringBoard Digital / Assessments
Lesson 22-1 Quiz Opportunity to demonstrate knowledge and skills developed in the lesson.
1 45-min. period
On Grade Level
Core materials (p. 308) Lesson 22-2 Trigonometric Ratios G-SRT.3.8
• Understand the definitions of sine, cosine, and tangent ratios.
• Calculate the trigonometric ratios in a right triangle.
• Describe the relationship between the sine and cosine of complementary angles.
15–25 min.
On Grade Level
Core materials (p. 311) Lesson 22-2 Practice Opportunity to apply knowledge and practice skills developed in the lesson.
10 min. On Grade Level
SpringBoard Digital / Assessments
Lesson 22-2 Quiz Opportunity to demonstrate knowledge and skills developed in the lesson.
1 45-min. period
On Grade Level
Core materials (p. 312) Lesson 22-3 Using Trigonometric Ratios G-SRT.3.8
• Use trigonometric ratios to find unknown side lengths in right triangles.
• Solve real-world problems using trigonometric ratios.
10 min. On Grade Level
Geometry Skills Workshop (p. 129)
Applications of Right Triangle Trigonometry G-SRT.C.8 • Apply trigonometric ratios and the Pythagorean Theorem to right triangle problems.
15–25 min.
On Grade Level
Core materials (p. 314) Lesson 22-3 Practice Opportunity to apply knowledge and practice skills developed in the lesson.
30
ACTIVITY 22 Unit 3: Similarity and Trigonometry
Geometry Curriculum Map
Key: Getting Ready Practice Mini-Lesson
PacingLevel of Instruction Resource Instructional Focus MAFS Learning Targets or Assessment Focus
10 min. On Grade Level
SpringBoard Digital / Assessments
Lesson 22-3 Quiz Opportunity to demonstrate knowledge and skills developed in the lesson.
1 45-min. period
On Grade Level
Core materials (p. 315) Lesson 22-4 Solving Right Triangles G-SRT.3.8 • Calculate angle measures from trigonometric ratios.
• Solve right triangles.
15–25 min.
On Grade Level
Core materials (p. 316) Lesson 22-4 Practice Opportunity to apply knowledge and practice skills developed in the lesson.
10 min. On Grade Level
SpringBoard Digital / Assessments
Lesson 22-4 Quiz Opportunity to demonstrate knowledge and skills developed in the lesson.
1 45-min. period
On Grade Level
Core materials (p. 317) Activity 22 Practice Opportunity to apply knowledge and practice skills developed in the activity.
View Khan Academy Videos: Intro to Triangle Similarity • Triangle Similarity & the Trigonometric Ratios • Intro to the Trigonometric Ratios • Trigonometric Ratios in Right Triangles • Sine & Cosine of Complementary Angles • Using Complementary Angles • Trig Word Problem: Complementary Angles • Solving for a Side in Right Triangles with Trigonometry • Right Triangle Word Problem • Solving for a Side in Right Triangles with Trigonometry • Right Triangle Word Problem
31
ACTIVITY 23 Unit 3: Similarity and Trigonometry
Geometry Curriculum Map
Key: Getting Ready Practice Mini-Lesson
PacingLevel of Instruction Resource Instructional Focus MAFS Learning Targets or Assessment Focus
1 45-min. period
On Grade Level
Core materials (p. 319) Lesson 23-1 The Law of Sines G-SRT.4.10, G-SRT.4.11 • Prove the Law of Sines.
• Apply the Law of Sines.
15–25 min.
On Grade Level
Core materials (p. 321) Lesson 23-1 Practice Opportunity to apply knowledge and practice skills developed in the lesson.
10 min. On Grade Level
SpringBoard Digital / Assessments
Lesson 23-1 Quiz Opportunity to demonstrate knowledge and skills developed in the lesson.
1 45-min. period
On Grade Level
Core materials (p. 322) Lesson 23-2 The Ambiguous Case G-SRT.4.11
• Understand when the ambiguous case of the Law of Sines occurs.
• Solve problems using the Law of Sines.
15–25 min.
On Grade Level
Core materials (p. 323) Lesson 23-2 Practice Opportunity to apply knowledge and practice skills developed in the lesson.
10 min. On Grade Level
SpringBoard Digital / Assessments
Lesson 23-2 Quiz Opportunity to demonstrate knowledge and skills developed in the lesson.
1 45-min. period
On Grade Level
Core materials (p. 324) Lesson 23-3 The Law of Cosines G-SRT.4.10, G-SRT.4.11 • Prove the Law of Cosines.
• Solve problems using the Law of Cosines.
15–25 min.
On Grade Level
Core materials (p. 326) Lesson 23-3 Practice Opportunity to apply knowledge and practice skills developed in the lesson.
10 min. On Grade Level
SpringBoard Digital / Assessments
Lesson 23-3 Quiz Opportunity to demonstrate knowledge and skills developed in the lesson.
1 45-min. period
On Grade Level
Core materials (p. 327) Lesson 23-4 Solving Triangles G-SRT.4.11
• Determine when to use the Law of Sines and when to use the Law of Cosines.
• Solve problems using the Law of Cosines and/or the Law of Sines.
15–25 min.
On Grade Level
Core materials (p. 328) Lesson 23-4 Practice Opportunity to apply knowledge and practice skills developed in the lesson.
10 min. On Grade Level
SpringBoard Digital / Assessments
Lesson 23-4 Quiz Opportunity to demonstrate knowledge and skills developed in the lesson.
1 45-min. period
On Grade Level
Core materials (p. 329) Activity 23 Practice Opportunity to apply knowledge and practice skills developed in the activity.
32
ACTIVITY 23 Unit 3: Similarity and Trigonometry
Geometry Curriculum Map
Key: Getting Ready Practice Mini-Lesson
PacingLevel of Instruction Resource Instructional Focus MAFS Learning Targets or Assessment Focus
1 45-min. period
On Grade Level
Core materials (p. 331)
Embedded Assessment 3 Trigonometry—Zipping Along
G-SRT.3.6, G-SRT.3.7, G-SRT.3.8, G-SRT.4.10(+), G-SRT.4.11(+), G-MG.1.1
Assessment Focus• Trigonometric functions• Law of Sines• Law of Cosines• Solving triangles
1 45-min. period
On Grade Level
SpringBoard Digital / Assessments
Unit 3 Assessments A/B Opportunity to demonstrate knowledge and skills developed in the unit.
10 min. per lesson
On Grade Level
Geometry Skills Workshop (p. 131)
Additional Unit Practice Opportunity to apply knowledge and practice skills developed in the unit.
View Khan Academy Videos: Proof of the Law of Sines • Solving for a Side with the Law of Sines • Solving for an Angle with the Law of Sines • Why SSA isn’t a Congruence Postulate/Criterion • Proof of the Law of Cosines • Solving for a Side with the Law of Cosines • Solving for an Angle with the Law of Cosines • Trig Word Problem: Stars
33
ACTIVITY 24 Unit 4: Circles, Coordinates, and Constructions
Geometry Curriculum Map
Key: Getting Ready Practice Mini-Lesson
PacingLevel of Instruction Resource Instructional Focus MAFS Learning Targets or Assessment Focus
1 45-min. period
On Grade Level
Core materials (p. 333) Unit 4 Overview / Getting Ready
Assign the Getting Ready items to assess prerequisite skills necessary for Unit 4. As needed, assign resources at point of use over the course of the unit.
10 min. Approaching Grade Level
Geometry Skills Workshop (p. 152)
Completing the Square A-REI.2.4a • Complete the square to write perfect-square trinomial expressions and equations.
10 min. Approaching Grade Level
Geometry Skills Workshop (p. 154)
Distance Formula 8.G.2.8 • Find the distance between two points.
10 min. Approaching Grade Level
Geometry Skills Workshop (p. 156)
Graphing Quadratic Functions F-IF.3.7a • Graph quadratic functions.
10 min. Approaching Grade Level
Geometry Skills Workshop (p. 160)
Identifying Radius, Diameter, and Chord 7.G.2.5 • Identify radii, diameters, and chords in a given circle.
10 min. Approaching Grade Level
Geometry Skills Workshop (p. 162)
Identifying the Perpendicular Bisector of a Segment
G-CO.3.9 • Identify and draw the perpendicular bisector of a segment.
10 min. Approaching Grade Level
Geometry Skills Workshop (p. 165)
Interpreting Features of Functions F-IF.2.4 • Identify key features of quadratic functions.
10 min. Approaching Grade Level
Geometry Skills Workshop (p. 167)
Multiplying Polynomials A-APR.1.1 • Multiply polynomial expressions.
10 min. Approaching Grade Level
Geometry Skills Workshop (p. 170)
Parallel and Perpendicular Lines G-CO.1.1 • Identify and write equations of parallel and perpendicular lines.
10 min. Approaching Grade Level
Geometry Skills Workshop (p. 174)
Protractor Postulate G-CO.1.1 • Find the measure of an angle using a protractor.
10 min. Approaching Grade Level
Geometry Skills Workshop (p. 177)
Ruler Postulate and Segment Addition Postulate
G-CO.1.1 • Find lengths of line segments.
34
ACTIVITY 24 Unit 4: Circles, Coordinates, and Constructions
Geometry Curriculum Map
Key: Getting Ready Practice Mini-Lesson
PacingLevel of Instruction Resource Instructional Focus MAFS Learning Targets or Assessment Focus
10 min. Approaching Grade Level
Geometry Skills Workshop (p. 180)
Simplifying Radicals N-RN.1.2 • Simplify algebraic expressions involving radicals.
10 min. Approaching Grade Level
Geometry Skills Workshop (p. 182)
Solving Linear and Quadratic Equations A-REI.2.3, A-REI.2.4 • Solve linear and quadratic equations.
15–25 min.
On Grade Level
Core materials (p. 371)
Unpacking Embedded Assessment 1Circles—Vertigo Round
G-CO.1.1, G-C.1.2, G-C.1.3
Assessment Focus• Central angles, inscribed angles, and intercepted
arcs• Angles formed by two chords, tangents, and
secants• Lengths of chord, tangent, and secant segments
1 45-min. period
On Grade Level
Core materials (p. 335) Lesson 24-1 Circle Basics G-C.1.2
• Describe relationships among tangents and radii of a circle.
• Use arcs, chords, and diameters of a circle to solve problems.
15–25 min.
On Grade Level
Core materials (p. 338) Lesson 24-1 Practice Opportunity to apply knowledge and practice skills developed in the lesson.
10 min. On Grade Level
SpringBoard Digital / Assessments
Lesson 24-1 Quiz Opportunity to demonstrate knowledge and skills developed in the lesson.
1 45-min. period
On Grade Level
Core materials (p. 339) Lesson 24-2 Theorems About Chords G-C.1.2
• Describe relationships among diameters and chords of a circle.
• Prove and apply theorems about chords of a circle.
15–25 min.
On Grade Level
Core materials (p. 344) Lesson 24-2 Practice Opportunity to apply knowledge and practice skills developed in the lesson.
10 min. On Grade Level
SpringBoard Digital / Assessments
Lesson 24-2 Quiz Opportunity to demonstrate knowledge and skills developed in the lesson.
1 45-min. period
On Grade Level
Core materials (p. 345) Lesson 24-3 Tangent Segments G-C.1.2
• Prove that tangent segments to a circle from a point outside the circle are congruent.
• Use tangent segments to solve problems.
15–25 min.
On Grade Level
Core materials (p. 346) Lesson 24-3 Practice Opportunity to apply knowledge and practice skills developed in the lesson.
35
ACTIVITY 24 Unit 4: Circles, Coordinates, and Constructions
Geometry Curriculum Map
Key: Getting Ready Practice Mini-Lesson
PacingLevel of Instruction Resource Instructional Focus MAFS Learning Targets or Assessment Focus
10 min. On Grade Level
SpringBoard Digital / Assessments
Lesson 24-3 Quiz Opportunity to demonstrate knowledge and skills developed in the lesson.
1 45-min. period
On Grade Level
Core materials (p. 347) Activity 24 Practice Opportunity to apply knowledge and practice skills developed in the activity.
View Khan Academy Videos: Circles Glossary • Radius, Diameter, Circumference & π • Tangents of Circles Problem (Example 3) • Proof: Radius is Perpendicular to a Chord it Bisects • Proof: Perpendicular Radius Bisects Chord • Proof: Segments Tangent to Circle from Outside Point are Congruent • Tangents of Circles Problem (Example 1) • Tangents of Circles Problem (Example 2) • Tangents of Circles Problem (Example 3)
36
ACTIVITY 25 Unit 4: Circles, Coordinates, and Constructions
Geometry Curriculum Map
Key: Getting Ready Practice Mini-Lesson
PacingLevel of Instruction Resource Instructional Focus MAFS Learning Targets or Assessment Focus
1 45-min. period
On Grade Level
Core materials (p. 349) Lesson 25-1 Arcs and Central Angles G-C.1.2
• Understand how to measure an arc of a circle.• Use relationships among arcs and central angles
to solve problems.
15–25 min.
On Grade Level
Core materials (p. 352) Lesson 25-1 Practice Opportunity to apply knowledge and practice skills developed in the lesson.
10 min. On Grade Level
SpringBoard Digital / Assessments
Lesson 25-1 Quiz Opportunity to demonstrate knowledge and skills developed in the lesson.
1 45-min. period
On Grade Level
Core materials (p. 353) Lesson 25-2 Inscribed Angles G-C.1.2
• Describe the relationship among inscribed angles, central angles, and arcs.
• Use inscribed angles to solve problems.
15–25 min.
On Grade Level
Core materials (p. 357) Lesson 25-2 Practice Opportunity to apply knowledge and practice skills developed in the lesson.
10 min. On Grade Level
SpringBoard Digital / Assessments
Lesson 25-2 Quiz Opportunity to demonstrate knowledge and skills developed in the lesson.
1 45-min. period
On Grade Level
Core materials (p. 358) Lesson 25-3 Angles Formed by Chords G-C.1.2
• Describe a relationship among the angles formed by intersecting chords in a circle.
• Use angles formed by chords to solve problems.
15–25 min.
On Grade Level
Core materials (p. 362) Lesson 25-3 Practice Opportunity to apply knowledge and practice skills developed in the lesson.
10 min. On Grade Level
SpringBoard Digital / Assessments
Lesson 25-3 Quiz Opportunity to demonstrate knowledge and skills developed in the lesson.
1 45-min. period
On Grade Level
Core materials (p. 363)
Lesson 25-4 Angles Formed by Tangents and Secants G-C.1.2
• Describe relationships among the angles formed by tangents to a circle or secants to a circle.
• Use angles formed by tangents or secants to solve problems.
10 min. On Grade Level
Geometry Skills Workshop (p. 184)
Arcs and Angles G-C.1.2 • Determine the missing measures of angles and arcs in a circle.
15–25 min.
On Grade Level
Core materials (p. 368) Lesson 25-4 Practice Opportunity to apply knowledge and practice skills developed in the lesson.
37
ACTIVITY 25 Unit 4: Circles, Coordinates, and Constructions
Geometry Curriculum Map
Key: Getting Ready Practice Mini-Lesson
PacingLevel of Instruction Resource Instructional Focus MAFS Learning Targets or Assessment Focus
10 min. On Grade Level
SpringBoard Digital / Assessments
Lesson 25-4 Quiz Opportunity to demonstrate knowledge and skills developed in the lesson.
1 45-min. period
On Grade Level
Core materials (p. 369) Activity 25 Practice Opportunity to apply knowledge and practice skills developed in the activity.
1 45-min. period
On Grade Level
Core materials (p. 371)
Embedded Assessment 1Circles—Vertigo Round
G-CO.1.1, G-C.1.2, G-C.1.3
Assessment Focus• Central angles, inscribed angles, and intercepted
arcs• Angles formed by two chords, tangents, and
secants• Lengths of chord, tangent, and secant segments
View Khan Academy Videos: Intro to Arc Measure • Finding Arc Measures • Arc Length from Subtended Angle • Subtended Angle from Arc Length • Inscribed Angles • Inscribed Angle Theorem Proof • Finding Arc Measures with Equations • Tangents of Circles Problem (Example 1) • Tangents of Circles Problem (Example 2) • Tangents of Circles Problem (Example 3)
38
ACTIVITY 26 Unit 4: Circles, Coordinates, and Constructions
Geometry Curriculum Map
Key: Getting Ready Practice Mini-Lesson
PacingLevel of Instruction Resource Instructional Focus MAFS Learning Targets or Assessment Focus
15–25 min.
On Grade Level
Core materials (p. 429)
Unpacking Embedded Assessment 2Coordinates and Constructions—Location Matters
G-CO.3.10, G-CO.4.12, G-GPE.1.1, G-GPE.2.4, G-GPE.2.6
Assessment Focus• Coordinate proofs• Writing equations of circles• Finding the center and radius of a circle from
its equation• Writing equations of parabolas• Geometric constructions
1 45-min. period
On Grade Level
Core materials (p. 373) Lesson 26-1 Proving the Midpoint Formula G-CO.3.10, G-GPE.2.6 • Write coordinate proofs.
• Prove the midpoint formula.
15–25 min.
On Grade Level
Core materials (p. 376) Lesson 26-1 Practice Opportunity to apply knowledge and practice skills developed in the lesson.
10 min. On Grade Level
SpringBoard Digital / Assessments
Lesson 26-1 Quiz Opportunity to demonstrate knowledge and skills developed in the lesson.
1 45-min. period
On Grade Level
Core materials (p. 377) Lesson 26-2 Proofs About Slope G-CO.3.10, G-GPE.2.5
• Write coordinate proofs.• Prove the slope criteria for parallel and
perpendicular lines.
15–25 min.
On Grade Level
Core materials (p. 381) Lesson 26-2 Practice Opportunity to apply knowledge and practice skills developed in the lesson.
10 min. On Grade Level
SpringBoard Digital / Assessments
Lesson 26-2 Quiz Opportunity to demonstrate knowledge and skills developed in the lesson.
1 45-min. period
On Grade Level
Core materials (p. 382) Lesson 26-3 Proving Concurrency of Medians G-CO.3.10 • Write coordinate proofs.
• Prove that the medians of a triangle are concurrent.
15–25 min.
On Grade Level
Core materials (p. 386) Lesson 26-3 Practice Opportunity to apply knowledge and practice skills developed in the lesson.
10 min. On Grade Level
SpringBoard Digital / Assessments
Lesson 26-3 Quiz Opportunity to demonstrate knowledge and skills developed in the lesson.
1 45-min. period
On Grade Level
Core materials (p. 387) Lesson 26-4 Points Along a Line Segment G-GPE.2.5
• Find the coordinates of the point that is a given fractional distance along a line segment.
• Find the coordinates of the point that partitions a line segment in a given ratio.
39
ACTIVITY 26 Unit 4: Circles, Coordinates, and Constructions
Geometry Curriculum Map
Key: Getting Ready Practice Mini-Lesson
PacingLevel of Instruction Resource Instructional Focus MAFS Learning Targets or Assessment Focus
15–25 min.
On Grade Level
Core materials (p. 389) Lesson 26-4 Practice Opportunity to apply knowledge and practice skills developed in the lesson.
10 min. On Grade Level
SpringBoard Digital / Assessments
Lesson 26-4 Quiz Opportunity to demonstrate knowledge and skills developed in the lesson.
1 45-min. period
On Grade Level
Core materials (p. 390) Activity 26 Practice Opportunity to apply knowledge and practice skills developed in the activity.
View Khan Academy Videos: Midpoint Formula • Geometry Proof Problem: Midpoint • Proof: Parallel Lines have the Same Slope • Proof: Perpendicular Lines have Negative Reciprocal Slope • Triangle Medians & Centroids • Triangle Medians and Centroids (2D Proof) • Dividing Line Segments: Graphical • Dividing Line Segments
40
ACTIVITY 27 Unit 4: Circles, Coordinates, and Constructions
Geometry Curriculum Map
Key: Getting Ready Practice Mini-Lesson
PacingLevel of Instruction Resource Instructional Focus MAFS Learning Targets or Assessment Focus
1 45-min. period
On Grade Level
Core materials (p. 391) Lesson 27-1 Circles on the Coordinate Plane G-GPE.1.1
• Derive the general equation of a circle given the center and radius.
• Write the equation of a circle given three points on the circle.
15–25 min.
On Grade Level
Core materials (p. 395) Lesson 27-1 Practice Opportunity to apply knowledge and practice skills developed in the lesson.
10 min. On Grade Level
SpringBoard Digital / Assessments
Lesson 27-1 Quiz Opportunity to demonstrate knowledge and skills developed in the lesson.
1 45-min. period
On Grade Level
Core materials (p. 396)
Lesson 27-2 Completing the Square to Find the Center and Radius of a Circle G-GPE.1.1
• Find the center and radius of a circle given its equation.
• Complete the square to write the equation of a circle in the form (x − h)2 + (y − k)2 = r 2.
15–25 min.
On Grade Level
Core materials (p. 398) Lesson 27-2 Practice Opportunity to apply knowledge and practice skills developed in the lesson.
10 min. On Grade Level
SpringBoard Digital / Assessments
Lesson 27-2 Quiz Opportunity to demonstrate knowledge and skills developed in the lesson.
1 45-min. period
On Grade Level
Core materials (p. 399) Activity 27 Practice Opportunity to apply knowledge and practice skills developed in the activity.
View Khan Academy Videos: Standard Equation of a Circle • Writing Standard Equation of a Circle • Features of a Circle from its Standard Equation • Features of a Circle from its Expanded Equation
41
ACTIVITY 28 Unit 4: Circles, Coordinates, and Constructions
Geometry Curriculum Map
Key: Getting Ready Practice Mini-Lesson
PacingLevel of Instruction Resource Instructional Focus MAFS Learning Targets or Assessment Focus
1 45-min. period
On Grade Level
Core materials (p. 401) Lesson 28-1 Parabolas on the Coordinate Plane G-GPE.1.2
• Derive the general equation of a parabola given the focus and directrix.
• Write the equation of a parabola given a specific focus and directrix.
15–25 min.
On Grade Level
Core materials (p. 404) Lesson 28-1 Practice Opportunity to apply knowledge and practice skills developed in the lesson.
10 min. On Grade Level
SpringBoard Digital / Assessments
Lesson 28-1 Quiz Opportunity to demonstrate knowledge and skills developed in the lesson.
1 45-min. period
On Grade Level
Core materials (p. 405) Lesson 28-2 Parabolas with Vertex (h, k) G-GPE.1.1
• Derive the general equation of a parabola given the vertex and directrix.
• Write the equation of a parabola given a specific vertex and directrix.
15–25 min.
On Grade Level
Core materials (p. 408) Lesson 28-2 Practice Opportunity to apply knowledge and practice skills developed in the lesson.
10 min. On Grade Level
SpringBoard Digital / Assessments
Lesson 28-2 Quiz Opportunity to demonstrate knowledge and skills developed in the lesson.
1 45-min. period
On Grade Level
Core materials (p. 409) Activity 28 Practice Opportunity to apply knowledge and practice skills developed in the activity.
View Khan Academy Videos: Intro to Focus & Directrix • Equation of a Parabola from Focus & Directrix
42
ACTIVITY 29 Unit 4: Circles, Coordinates, and Constructions
Geometry Curriculum Map
Key: Getting Ready Practice Mini-Lesson
PacingLevel of Instruction Resource Instructional Focus MAFS Learning Targets or Assessment Focus
1 45-min. period
On Grade Level
Core materials (p. 411)
Lesson 29-1 Constructions with Segments and Angles G-CO.4.12 • Use constructions to copy a segment or an angle.
• Use constructions to bisect a segment or an angle.
15–25 min.
On Grade Level
Core materials (p. 417) Lesson 29-1 Practice Opportunity to apply knowledge and practice skills developed in the lesson.
10 min. On Grade Level
SpringBoard Digital / Assessments
Lesson 29-1 Quiz Opportunity to demonstrate knowledge and skills developed in the lesson.
1 45-min. period
On Grade Level
Core materials (p. 418)
Lesson 29-2 Constructions with Parallel and Perpendicular Lines G-CO.4.12
• Construct parallel and perpendicular lines.• Use constructions to make conjectures about
geometric relationships.
15–25 min.
On Grade Level
Core materials (p. 421) Lesson 29-2 Practice Opportunity to apply knowledge and practice skills developed in the lesson.
10 min. On Grade Level
SpringBoard Digital / Assessments
Lesson 29-2 Quiz Opportunity to demonstrate knowledge and skills developed in the lesson.
1 45-min. period
On Grade Level
Core materials (p. 422) Lesson 29-3 Constructions with Circles G-C.1.3, G-C.1.4 • Construct inscribed and circumscribed circles.
• Construct tangents to a circle.
15–25 min.
On Grade Level
Core materials (p. 426) Lesson 29-3 Practice Opportunity to apply knowledge and practice skills developed in the lesson.
10 min. On Grade Level
SpringBoard Digital / Assessments
Lesson 29-3 Quiz Opportunity to demonstrate knowledge and skills developed in the lesson.
1 45-min. period
On Grade Level
Core materials (p. 427) Activity 29 Practice Opportunity to apply knowledge and practice skills developed in the activity.
1 45-min. period
On Grade Level
Core materials (p. 429)
Embedded Assessment 2Coordinates and Constructions—Location Matters
G-CO.3.10, G-CO.4.12, G-GPE.1.1, G-GPE.2.4, G-GPE.2.6
Assessment Focus• Coordinate proofs• Writing equations of circles• Finding the center and radius of a circle from
its equation• Writing equations of parabolas• Geometric constructions
1 45-min. period
On Grade Level
SpringBoard Digital / Assessments
Unit 4 Assessments A/B Opportunity to demonstrate knowledge and skills developed in the unit.
43
ACTIVITY 29 Unit 4: Circles, Coordinates, and Constructions
Geometry Curriculum Map
Key: Getting Ready Practice Mini-Lesson
PacingLevel of Instruction Resource Instructional Focus MAFS Learning Targets or Assessment Focus
10 min. per lesson
On Grade Level
Geometry Skills Workshop (p. 186)
Additional Unit Practice Opportunity to apply knowledge and practice skills developed in the unit.
View Khan Academy Videos: Geometric Constructions: Angle Bisector • Geometric Constructions: Perpendicular Bisector • Geometric Constructions: Perpendicular Line • Geometric Constructions: Circle-Inscribed Square • Geometric Constructions: Circle-Inscribed Equilateral Triangle • Geometric Constructions: Circle-Inscribed Regular Hexagon • Geometric Constructions: Triangle-Circumscribing Circle • Geometric Constructions: Triangle-Inscribing Circle
44
ACTIVITY 30 Unit 5: Extending Two Dimensions to Three Dimensions
Geometry Curriculum Map
Key: Getting Ready Practice Mini-Lesson
PacingLevel of Instruction Resource Instructional Focus MAFS Learning Targets or Assessment Focus
1 45-min. period
On Grade Level
Core materials (p. 431) Unit 5 Overview / Getting Ready
Assign the Getting Ready items to assess prerequisite skills necessary for Unit 5. As needed, assign resources at point of use over the course of the unit.
10 min. Approaching Grade Level
Geometry Skills Workshop (p. 206)
Analyzing Similar Triangles G-SRT.2.5 • Use properties of similar triangles to solve problems.
10 min. Approaching Grade Level
Geometry Skills Workshop (p. 209)
Finding Area of a Composite Figure 6.G.1.1 • Find the area of a composite figure.
10 min. Approaching Grade Level
Geometry Skills Workshop (p. 212)
Identifying Two- and Three-Dimensional Figures
5.G.2.4 • Identify polygons and polyhedra.
10 min. Approaching Grade Level
Geometry Skills Workshop (p. 215)
Solving an Area Problem Involving a Circle 7.G.2.4 • Use the area of a circle to solve problems.
10 min. Approaching Grade Level
Geometry Skills Workshop (p. 218)
Solving a Literal Equation for a Given Variable
A-CED.1.4 • Solve a literal equation for a given variable.
15–25 min.
On Grade Level
Core materials (p. 477)
Unpacking Embedded Assessment 1Area and Perimeter—Play Planning
G-C.2.5, G-GPE.2.7, G-MG.1.1
Assessment Focus• Find perimeters and areas of composite figures.• Find perimeters and areas of regular polygons.• Convert between radian and degree measures.• Show that all circles are similar.
1 45-min. period
On Grade Level
Core materials (p. 433)
Lesson 30-1 Areas of Rectangles and Parallelograms G-GPE.2.7
• Solve problems using the areas of rectangles, parallelograms, and composite figures.
• Use coordinates to compute perimeters and areas of figures.
15–25 min.
On Grade Level
Core materials (p. 436) Lesson 30-1 Practice Opportunity to apply knowledge and practice skills developed in the lesson.
10 min. On Grade Level
SpringBoard Digital / Assessments
Lesson 30-1 Quiz Opportunity to demonstrate knowledge and skills developed in the lesson.
1 45-min. period
On Grade Level
Core materials (p. 437) Lesson 30-2 Areas of Triangles G-GPE.2.7
• Solve problems using the areas of triangles and composite figures.
• Use coordinates to compute perimeters and areas of figures.
45
ACTIVITY 30 Unit 5: Extending Two Dimensions to Three Dimensions
Geometry Curriculum Map
Key: Getting Ready Practice Mini-Lesson
PacingLevel of Instruction Resource Instructional Focus MAFS Learning Targets or Assessment Focus
15–25 min.
On Grade Level
Core materials (p. 440) Lesson 30-2 Practice Opportunity to apply knowledge and practice skills developed in the lesson.
10 min. On Grade Level
SpringBoard Digital / Assessments
Lesson 30-2 Quiz Opportunity to demonstrate knowledge and skills developed in the lesson.
1 45-min. period
On Grade Level
Core materials (p. 441) Lesson 30-3 Areas of Rhombuses and Trapezoids G-MG.1.2
• Solve problems using the areas of rhombuses, trapezoids, and composite figures.
• Solve problems involving density.
15–25 min.
On Grade Level
Core materials (p. 444) Lesson 30-3 Practice Opportunity to apply knowledge and practice skills developed in the lesson.
10 min. On Grade Level
SpringBoard Digital / Assessments
Lesson 30-3 Quiz Opportunity to demonstrate knowledge and skills developed in the lesson.
1 45-min. period
On Grade Level
Core materials (p. 445) Activity 30 Practice Opportunity to apply knowledge and practice skills developed in the activity.
View Khan Academy Videos: Area of a Parallelogram • Area of Parallelogram Proof • Area of a Triangle • Area of Composite Shapes • Perimeter & Area of Composite Shapes • Area of Equilateral Triangle (advanced) • Area of Triangle Proof • Area of Composite Shapes • Density Word Problem: Blimp
46
ACTIVITY 31 Unit 5: Extending Two Dimensions to Three Dimensions
Geometry Curriculum Map
Key: Getting Ready Practice Mini-Lesson
PacingLevel of Instruction Resource Instructional Focus MAFS Learning Targets or Assessment Focus
1 45-min. period
On Grade Level
Core materials (p. 447)
Lesson 31-1 Sum of the Measures of the Interior Angles of a Polygon G-SRT.2.5
• Develop a formula for the sum of the measures of the interior angles of a polygon.
• Determine the sum of the measures of the interior angles of a polygon.
15–25 min.
On Grade Level
Core materials (p. 452) Lesson 31-1 Practice Opportunity to apply knowledge and practice skills developed in the lesson.
10 min. On Grade Level
SpringBoard Digital / Assessments
Lesson 31-1 Quiz Opportunity to demonstrate knowledge and skills developed in the lesson.
1 45-min. period
On Grade Level
Core materials (p. 453)
Lesson 31-2 Regular Polygons and Exterior Angles G-SRT.2.5
• Develop a formula for the measure of each interior angle of a regular polygon.
• Determine the measure of the exterior angles of a polygon.
15–25 min.
On Grade Level
Core materials (p. 456) Lesson 31-2 Practice Opportunity to apply knowledge and practice skills developed in the lesson.
10 min. On Grade Level
SpringBoard Digital / Assessments
Lesson 31-2 Quiz Opportunity to demonstrate knowledge and skills developed in the lesson.
1 45-min. period
On Grade Level
Core materials (p. 457)
Lesson 31-3 Area and Perimeter of Regular Polygons G-GPE.2.7
• Develop a formula for the area of a regular polygon.• Solve problems using the perimeter and area of
regular polygons.
15–25 min.
On Grade Level
Core materials (p. 460) Lesson 31-3 Practice Opportunity to apply knowledge and practice skills developed in the lesson.
10 min. On Grade Level
SpringBoard Digital / Assessments
Lesson 31-3 Quiz Opportunity to demonstrate knowledge and skills developed in the lesson.
1 45-min. period
On Grade Level
Core materials (p. 461) Activity 31 Practice Opportunity to apply knowledge and practice skills developed in the activity.
View Khan Academy Videos: Sum of Interior Angles of a Polygon • Sum of the Exterior Angles of a Polygon • Area of a Regular Hexagon
47
ACTIVITY 32 Unit 5: Extending Two Dimensions to Three Dimensions
Geometry Curriculum Map
Key: Getting Ready Practice Mini-Lesson
PacingLevel of Instruction Resource Instructional Focus MAFS Learning Targets or Assessment Focus
1 45-min. period
On Grade Level
Core materials (p. 463) Lesson 32-1 Circumference and Area of a Circle G-GMD.1.1
• Develop and apply a formula for the circumference of a circle.
• Develop and apply a formula for the area of a circle.
15–25 min.
On Grade Level
Core materials (p. 466) Lesson 32-1 Practice Opportunity to apply knowledge and practice skills developed in the lesson.
10 min. On Grade Level
SpringBoard Digital / Assessments
Lesson 32-1 Quiz Opportunity to demonstrate knowledge and skills developed in the lesson.
1 45-min. period
On Grade Level
Core materials (p. 467) Lesson 32-2 Sectors and Arcs G-C.2.5
• Develop and apply a formula for the area of a sector.
• Develop and apply a formula for arc length.
10 min. Approaching Grade Level
Geometry Skills Workshop (p. 221)
Area of Shaded Regions 7.G.2.4 • Determine the area of a shaded region in a circle with an inscribed polygon.
15–25 min.
On Grade Level
Core materials (p. 469) Lesson 32-2 Practice Opportunity to apply knowledge and practice skills developed in the lesson.
10 min. On Grade Level
SpringBoard Digital / Assessments
Lesson 32-2 Quiz Opportunity to demonstrate knowledge and skills developed in the lesson.
1 45-min. period
On Grade Level
Core materials (p. 470) Lesson 32-3 Circles and Similarity G-C.1.1 • Prove that all circles are similar.
• Describe and apply radian measure.
15–25 min.
On Grade Level
Core materials (p. 474) Lesson 32-3 Practice Opportunity to apply knowledge and practice skills developed in the lesson.
10 min. On Grade Level
SpringBoard Digital / Assessments
Lesson 32-3 Quiz Opportunity to demonstrate knowledge and skills developed in the lesson.
1 45-min. period
On Grade Level
Core materials (p. 475) Activity 32 Practice Opportunity to apply knowledge and practice skills developed in the activity.
48
ACTIVITY 32 Unit 5: Extending Two Dimensions to Three Dimensions
Geometry Curriculum Map
Key: Getting Ready Practice Mini-Lesson
PacingLevel of Instruction Resource Instructional Focus MAFS Learning Targets or Assessment Focus
1 45-min. period
On Grade Level
Core materials (p. 477)
Embedded Assessment 1Area and Perimeter—Play Planning
G-C.2.5, G-GPE.2.7, G-MG.1.1
Assessment Focus• Find perimeters and areas of composite figures.• Find perimeters and areas of regular polygons.• Convert between radian and degree measures.• Show that all circles are similar.
View Khan Academy Videos: Area of a Circle • Finding Circumference of a Circle When Given the Area • Area of a Sector • Arc Length from Subtended Angle • Intro to Radians • Radians & Degrees • Degrees to Radians • Radians to Degrees • Proof: All Circles are Similar
49
ACTIVITY 33 Unit 5: Extending Two Dimensions to Three Dimensions
Geometry Curriculum Map
Key: Getting Ready Practice Mini-Lesson
PacingLevel of Instruction Resource Instructional Focus MAFS Learning Targets or Assessment Focus
15–25 min.
On Grade Level
Core materials (p. 523)
Unpacking Embedded Assessment 2Surface Area and Volume—Action-Packed Measurements
G-GMD.1.3, G-GMD.2.4, G-MG.1.1, G-MG.1.2, G-MG.1.3
Assessment Focus• Surface areas of prisms, cylinders, and cones• Volumes of prisms, cylinders, and cones• Solve design problems using applications of
geometric concepts, including density based on area and volume.
1 45-min. period
On Grade Level
Core materials (p. 479) Lesson 33-1 Prisms and Pyramids G-GMD.2.4
• Describe properties and cross sections of prisms and pyramids.
• Describe the relationship among the faces, edges, and vertices of a polyhedron.
15–25 min.
On Grade Level
Core materials (p. 485) Lesson 33-1 Practice Opportunity to apply knowledge and practice skills developed in the lesson.
10 min. On Grade Level
SpringBoard Digital / Assessments
Lesson 33-1 Quiz Opportunity to demonstrate knowledge and skills developed in the lesson.
1 45-min. period
On Grade Level
Core materials (p. 486) Lesson 33-2 Cylinders and Cones G-GMD.2.4
• Describe properties and cross sections of a cylinder.
• Describe properties and cross sections of a cone.
15–25 min.
On Grade Level
Core materials (p. 488) Lesson 33-2 Practice Opportunity to apply knowledge and practice skills developed in the lesson.
10 min. On Grade Level
SpringBoard Digital / Assessments
Lesson 33-2 Quiz Opportunity to demonstrate knowledge and skills developed in the lesson.
1 45-min. period
On Grade Level
Core materials (p. 489) Lesson 33-3 Spheres and Solids of Rotation G-GMD.2.4
• Describe properties and cross sections of a sphere.• Identify three-dimensional objects generated by
rotations of two-dimensional objects.
15–25 min.
On Grade Level
Core materials (p. 492) Lesson 33-3 Practice Opportunity to apply knowledge and practice skills developed in the lesson.
10 min. On Grade Level
SpringBoard Digital / Assessments
Lesson 33-3 Quiz Opportunity to demonstrate knowledge and skills developed in the lesson.
1 45-min. period
On Grade Level
Core materials (p. 493) Activity 33 Practice Opportunity to apply knowledge and practice skills developed in the activity.
View Khan Academy Videos: Counting Faces and Edges of 3D Shapes • Slicing a Rectangular Pyramid • Ways to Cross-Section a Cube • Rotating 2D Shapes in 3D
50
ACTIVITY 34 Unit 5: Extending Two Dimensions to Three Dimensions
Geometry Curriculum Map
Key: Getting Ready Practice Mini-Lesson
PacingLevel of Instruction Resource Instructional Focus MAFS Learning Targets or Assessment Focus
1 45-min. period
On Grade Level
Core materials (p. 495)
Lesson 34-1 Surface Area of Prisms and Cylinders G-MG.1.1
• Solve problems by finding the lateral area or total surface area of a prism.
• Solve problems by finding the lateral area or total surface area of a cylinder.
15–25 min.
On Grade Level
Core materials (p. 499) Lesson 34-1 Practice Opportunity to apply knowledge and practice skills developed in the lesson.
10 min. On Grade Level
SpringBoard Digital / Assessments
Lesson 34-1 Quiz Opportunity to demonstrate knowledge and skills developed in the lesson.
1 45-min. period
On Grade Level
Core materials (p. 500) Lesson 34-2 Volume of Prisms and Cylinders G-GMD.1.3, MP.4 • Solve problems by finding the volume of a prism.
• Solve problems by finding the volume of a cylinder.
15–25 min.
On Grade Level
Core materials (p. 504) Lesson 34-2 Practice Opportunity to apply knowledge and practice skills developed in the lesson.
10 min. On Grade Level
SpringBoard Digital / Assessments
Lesson 34-2 Quiz Opportunity to demonstrate knowledge and skills developed in the lesson.
1 45-min. period
On Grade Level
Core materials (p. 505) Activity 34 Practice Opportunity to apply knowledge and practice skills developed in the activity.
View Khan Academy Videos: Surface Area Using a Net: rectangular prism • Cylinder Volume & Surface Area • Volume of Triangular Prism & Cube • Volume Word Problem: Water Tank
51
ACTIVITY 35 Unit 5: Extending Two Dimensions to Three Dimensions
Geometry Curriculum Map
Key: Getting Ready Practice Mini-Lesson
PacingLevel of Instruction Resource Instructional Focus MAFS Learning Targets or Assessment Focus
1 45-min. period
On Grade Level
Core materials (p. 507) Lesson 35-1 Surface Area of Pyramids and Cones MP.4
• Solve problems by finding the lateral area or total surface area of a pyramid.
• Solve problems by finding the lateral area or total surface area of a cone.
15–25 min.
On Grade Level
Core materials (p. 512) Lesson 35-1 Practice Opportunity to apply knowledge and practice skills developed in the lesson.
10 min. On Grade Level
SpringBoard Digital / Assessments
Lesson 35-1 Quiz Opportunity to demonstrate knowledge and skills developed in the lesson.
1 45-min. period
On Grade Level
Core materials (p. 513) Lesson 35-2 Volume of Pyramids and Cones G-GMD.1.3 • Solve problems by finding the volume of a pyramid.
• Solve problems by finding the volume of a cone.
15–25 min.
On Grade Level
Core materials (p. 517) Lesson 35-2 Practice Opportunity to apply knowledge and practice skills developed in the lesson.
10 min. On Grade Level
SpringBoard Digital / Assessments
Lesson 35-2 Quiz Opportunity to demonstrate knowledge and skills developed in the lesson.
1 45-min. period
On Grade Level
Core materials (p. 518) Lesson 35-3 Density G-MG.1.2, G-MG.1.3
• Apply concepts of density in modeling situations.• Apply surface area and volume to solve design
problems.
15–25 min.
On Grade Level
Core materials (p. 520) Lesson 35-3 Practice Opportunity to apply knowledge and practice skills developed in the lesson.
10 min. On Grade Level
SpringBoard Digital / Assessments
Lesson 35-3 Quiz Opportunity to demonstrate knowledge and skills developed in the lesson.
1 45-min. period
On Grade Level
Core materials (p. 521) Activity 35 Practice Opportunity to apply knowledge and practice skills developed in the activity.
1 45-min. period
On Grade Level
Core materials (p. 523)
Embedded Assessment 2Surface Area and Volume—Action-Packed Measurements
G-GMD.1.3, G-GMD.2.4, G-MG.1.1, G-MG.1.2, G-MG.1.3
Assessment Focus• Surface areas of prisms, cylinders, and cones• Volumes of prisms, cylinders, and cones• Solve design problems using applications of
geometric concepts, including density based on area and volume.
View Khan Academy Videos: Surface Area Word Problem Example • Volume of a Cone • Density Word Problem: Blimp
52
ACTIVITY 36 Unit 5: Extending Two Dimensions to Three Dimensions
Geometry Curriculum Map
Key: Getting Ready Practice Mini-Lesson
PacingLevel of Instruction Resource Instructional Focus MAFS Learning Targets or Assessment Focus
15–25 min.
On Grade Level
Core materials (p. 549)
Unpacking Embedded Assessment 3Changing Dimensions of Spheres—Spherical Storage
G-GMD.1.3, G-MG.1.1
Assessment Focus• Surface areas of spheres• Volumes of spheres• Application of geometric concepts, including
changing dimensions of three-dimensional figures, to solve problems
1 45-min. period
On Grade Level
Core materials (p. 525) Lesson 36-1 Surface Area of Spheres G-MG.1.1, MP.1
• Solve problems using properties of spheres.• Solve problems by finding the surface area of a
sphere.
15–25 min.
On Grade Level
Core materials (p. 528) Lesson 36-1 Practice Opportunity to apply knowledge and practice skills developed in the lesson.
10 min. On Grade Level
SpringBoard Digital / Assessments
Lesson 36-1 Quiz Opportunity to demonstrate knowledge and skills developed in the lesson.
1 45-min. period
On Grade Level
Core materials (p. 529) Lesson 36-2 Volume of Spheres G-GMD.1.3 • Develop the formula for the volume of a sphere.
• Solve problems by finding the volume of a sphere.
15–25 min.
On Grade Level
Core materials (p. 531) Lesson 36-2 Practice Opportunity to apply knowledge and practice skills developed in the lesson.
10 min. On Grade Level
SpringBoard Digital / Assessments
Lesson 36-2 Quiz Opportunity to demonstrate knowledge and skills developed in the lesson.
1 45-min. period
On Grade Level
Core materials (p. 532) Lesson 36-3 Spherical Geometry MP.1, MP.3
• Compare parallelism in Euclidean and spherical geometries.
• Compare triangles in Euclidean and spherical geometries.
15–25 min.
On Grade Level
Core materials (p. 536) Lesson 36-3 Practice Opportunity to apply knowledge and practice skills developed in the lesson.
10 min. On Grade Level
SpringBoard Digital / Assessments
Lesson 36-3 Quiz Opportunity to demonstrate knowledge and skills developed in the lesson.
1 45-min. period
On Grade Level
Core materials (p. 537) Activity 36 Practice Opportunity to apply knowledge and practice skills developed in the activity.
View Khan Academy Video: Volume of a Sphere
53
ACTIVITY 37 Unit 5: Extending Two Dimensions to Three Dimensions
Geometry Curriculum Map
Key: Getting Ready Practice Mini-Lesson
PacingLevel of Instruction Resource Instructional Focus MAFS Learning Targets or Assessment Focus
1 45-min. period
On Grade Level
Core materials (p. 539) Lesson 37-1 Cubes and Spheres G-MG.1.1, MP.1
• Describe how changes in the linear dimensions of a shape affect its perimeter, area, surface area, or volume.
• Use geometric shapes and their measures to model real-world objects.
15–25 min.
On Grade Level
Core materials (p. 541) Lesson 37-1 Practice Opportunity to apply knowledge and practice skills developed in the lesson.
10 min. On Grade Level
SpringBoard Digital / Assessments
Lesson 37-1 Quiz Opportunity to demonstrate knowledge and skills developed in the lesson.
1 45-min. period
On Grade Level
Core materials (p. 542) Lesson 37-2 Pyramids and Cylinders G-MG.1.1, MP.1
• Describe how changes in the linear dimensions of a shape affect its perimeter, area, surface area, or volume.
• Use geometric shapes and their measures to model real-world objects.
15–25 min.
On Grade Level
Core materials (p. 546) Lesson 37-2 Practice Opportunity to apply knowledge and practice skills developed in the lesson.
10 min. On Grade Level
SpringBoard Digital / Assessments
Lesson 37-2 Quiz Opportunity to demonstrate knowledge and skills developed in the lesson.
1 45-min. period
On Grade Level
Core materials (p. 547) Activity 37 Practice Opportunity to apply knowledge and practice skills developed in the activity.
1 45-min. period
On Grade Level
Core materials (p. 549)
Embedded Assessment 3Changing Dimensions of Spheres—Spherical Storage
G-GMD.1.3, G-MG.1.1
Assessment Focus• Surface areas of spheres• Volumes of spheres• Application of geometric concepts, including
changing dimensions of three-dimensional figures, to solve problems
1 45-min. period
On Grade Level
SpringBoard Digital / Assessments
Unit 5 Assessments A/B Opportunity to demonstrate knowledge and skills developed in the unit.
10 min. per lesson
On Grade Level
Geometry Skills Workshop (p. 223)
Additional Unit Practice Opportunity to apply knowledge and practice skills developed in the unit.
View Khan Academy Video: How Volume Changes from Changing Dimensions
54
ACTIVITY 38 Unit 6: Probability
Geometry Curriculum Map
Key: Getting Ready Practice Mini-Lesson
PacingLevel of Instruction Resource Instructional Focus MAFS Learning Targets or Assessment Focus
1 45-min. period
On Grade Level
Core materials (p. 551) Unit 6 Overview / Getting Ready
Assign the Getting Ready items to assess prerequisite skills necessary for Unit 6. As needed, assign resources at point of use over the course of the unit.
10 min. Approaching Grade Level
Geometry Skills Workshop (p. 246)
Adding Fractions 5.NF.1.1 • Add fractions with like and unlike denominators.
10 min. Approaching Grade Level
Geometry Skills Workshop (p. 250)
Express a Fraction in Simplest Form 3.NF.1.3b • Express a fraction in simplest form.
10 min. Approaching Grade Level
Geometry Skills Workshop (p. 253)
Express Decimals Rounded to a Given Number of Decimal Places
5.NBT.1.4 • Round decimals to a specified place value.
10 min. Approaching Grade Level
Geometry Skills Workshop (p. 256)
Express Percentages as Decimals 4.NF.3.6 • Express percentages as decimals.
15–25 min.
On Grade Level
Core materials (p. 593)
Unpacking Embedded Assessment 1Probability and the Addition Rule—Diane’s Books
S-CP.1.1, S-CP.2.7, S-MD.2.7
Assessment Focus• Evaluate probabilities from a given table of counts.• Evaluate probabilities involving “and,” “or,” and
“not.”• Explain whether or not events are mutually
exclusive.• Use the Addition Rule.• Express probabilities using probability / set
notation.
1 45-min. period
On Grade Level
Core materials (p. 553) Lesson 38-1 Probability of a Single Event S-CP.1.1
• Understand probability in real-world situations.• Represent sample spaces as lists.• Calculate the probability of a single event.
15–25 min.
On Grade Level
Core materials (p. 558) Lesson 38-1 Practice Opportunity to apply knowledge and practice skills developed in the lesson.
10 min. On Grade Level
SpringBoard Digital / Assessments
Lesson 38-1 Quiz Opportunity to demonstrate knowledge and skills developed in the lesson.
55
ACTIVITY 38 Unit 6: Probability
Geometry Curriculum Map
Key: Getting Ready Practice Mini-Lesson
PacingLevel of Instruction Resource Instructional Focus MAFS Learning Targets or Assessment Focus
1 45-min. period
On Grade Level
Core materials (p. 559) Lesson 38-2 Events Involving “And” and “Or” S-CP.1.1, S-CP.1.4
• Understand probability in real-world situations.• Describe events as subsets of a sample space
using the characteristics of the outcomes.• Represent sample spaces as tables of outcomes
and as two-way frequency tables.• Calculate the probability of events involving “and”
and “or.”
10 min. On Grade Level
Geometry Skills Workshop (p. 260)
Probability with a Deck of Cards S-CP.1.1 • Find the probability of events involving “and,” “or,” and “not.”
15–25 min.
On Grade Level
Core materials (p. 564) Lesson 38-2 Practice Opportunity to apply knowledge and practice skills developed in the lesson.
10 min. On Grade Level
SpringBoard Digital / Assessments
Lesson 38-2 Quiz Opportunity to demonstrate knowledge and skills developed in the lesson.
1 45-min. period
On Grade Level
Core materials (p. 565) Activity 38 Practice Opportunity to apply knowledge and practice skills developed in the activity.
View Khan Academy Videos: Basic Probability (coin or die) • Intuitive Sense of Probability • Simple Probability: Yellow Marble Example • Additional Probability Examples • Basic Probability (And, Or, Mutually Exclusive) • Die Rolling Probability (Sample Space-Table of Outcomes)
56
ACTIVITY 39 Unit 6: Probability
Geometry Curriculum Map
Key: Getting Ready Practice Mini-Lesson
PacingLevel of Instruction Resource Instructional Focus MAFS Learning Targets or Assessment Focus
1 45-min. period
On Grade Level
Core materials (p. 567)
Lesson 39-1 Using a Venn Diagram to Represent a Sample Space S-CP.1.1
• Use Venn diagrams to represent events.• Translate Venn diagrams of counts into Venn
diagrams of probabilities.
15–25 min.
On Grade Level
Core materials (p. 572) Lesson 39-1 Practice Opportunity to apply knowledge and practice skills developed in the lesson.
10 min. On Grade Level
SpringBoard Digital / Assessments
Lesson 39-1 Quiz Opportunity to demonstrate knowledge and skills developed in the lesson.
1 45-min. period
On Grade Level
Core materials (p. 573)
Lesson 39-2 Using Venn Diagrams to Represent “And,” “Or,” and “Not” S-CP.1.1
• Use Venn diagrams to represent “and,” “or,” and “not.”
• Use set notation to describe events.
15–25 min.
On Grade Level
Core materials (p. 577) Lesson 39-2 Practice Opportunity to apply knowledge and practice skills developed in the lesson.
10 min. On Grade Level
SpringBoard Digital / Assessments
Lesson 39-2 Quiz Opportunity to demonstrate knowledge and skills developed in the lesson.
1 45-min. period
On Grade Level
Core materials (p. 579) Activity 39 Practice Opportunity to apply knowledge and practice skills developed in the activity.
View Khan Academy Videos: Probability with Venn Diagrams • Probability (Playing Cards - And, Or, Venn Diagrams)
57
ACTIVITY 40 Unit 6: Probability
Geometry Curriculum Map
Key: Getting Ready Practice Mini-Lesson
PacingLevel of Instruction Resource Instructional Focus MAFS Learning Targets or Assessment Focus
1 45-min. period
On Grade Level
Core materials (p. 581) Lesson 40-1 Applying the Addition Rule S-CP.2.7
• Learn the Addition Rule and understand why it applies.
• Use the Addition Rule to calculate probabilities.
15–25 min.
On Grade Level
Core materials (p. 586) Lesson 40-1 Practice Opportunity to apply knowledge and practice skills developed in the lesson.
10 min. On Grade Level
SpringBoard Digital / Assessments
Lesson 40-1 Quiz Opportunity to demonstrate knowledge and skills developed in the lesson.
1 45-min. period
On Grade Level
Core materials (p. 587)
Lesson 40-2 Adapting the Addition Rule for Mutually Exclusive Events S-CP.2.7
• Learn the meaning of “mutually exclusive” events.• Use Venn diagrams to represent mutually exclusive
events.• Use the Addition Rule to calculate the probability of
mutually exclusive events.
15–25 min.
On Grade Level
Core materials (p. 590) Lesson 40-2 Practice Opportunity to apply knowledge and practice skills developed in the lesson.
10 min. On Grade Level
SpringBoard Digital / Assessments
Lesson 40-2 Quiz Opportunity to demonstrate knowledge and skills developed in the lesson.
1 45-min. period
On Grade Level
Core materials (p. 591) Activity 40 Practice Opportunity to apply knowledge and practice skills developed in the activity.
1 45-min. period
On Grade Level
Core materials (p. 593)
Embedded Assessment 1Probability and the Addition Rule—Diane’s Books
S-CP.1.1, S-CP.2.7, S-MD.2.7
Assessment Focus• Evaluate probabilities from a given table of counts.• Evaluate probabilities involving “and,” “or,”
and “not.”• Explain whether or not events are mutually
exclusive.• Use the Addition Rule.• Express probabilities using probability / set
notation.
View Khan Academy Videos: Addition Rule for Probability • Addition Rule for Probability (29 Objects, Venn Diagrams, Mutually Exclusive)
58
ACTIVITY 41 Unit 6: Probability
Geometry Curriculum Map
Key: Getting Ready Practice Mini-Lesson
PacingLevel of Instruction Resource Instructional Focus MAFS Learning Targets or Assessment Focus
15–25 min.
On Grade Level
Core materials (p. 633)
Unpacking Embedded Assessment 2Conditional Probability and Independent Events—Diane’s E-Books
S-CP.1.2, S-CP.1.3, S-CP.1.4, S-CP.1.5, S-CP.2.6, S-CP.2.7(+), S-CP.2.8, S-CP.2.9
Assessment Focus• Independent events• Conditional probability• Multiplication Rule• Geometric probability• Permutations and combinations
1 45-min. period
On Grade Level
Core materials (p. 595)
Lesson 41-1 Understanding Conditional Probability
S-CP.1.3, S-CP.1.4, S-CP.2.6
• Understand the conditional probability of A given B.• Determine conditional probabilities using two-way
frequency tables and Venn diagrams.• Interpret the answer in terms of the model.
15–25 min.
On Grade Level
Core materials (p. 600) Lesson 41-1 Practice Opportunity to apply knowledge and practice skills developed in the lesson.
10 min. On Grade Level
SpringBoard Digital / Assessments
Lesson 41-1 Quiz Opportunity to demonstrate knowledge and skills developed in the lesson.
1 45-min. period
On Grade Level
Core materials (p. 601) Lesson 41-2 The Conditional Probability Formula S-CP.1.3, S-CP.2.6 • Develop the conditional probability formula.
• Use conditional probability for everyday situations.
15–25 min.
On Grade Level
Core materials (p. 603) Lesson 41-2 Practice Opportunity to apply knowledge and practice skills developed in the lesson.
10 min. On Grade Level
SpringBoard Digital / Assessments
Lesson 41-2 Quiz Opportunity to demonstrate knowledge and skills developed in the lesson.
1 45-min. period
On Grade Level
Core materials (p. 604) Lesson 41-3 Tree Diagrams S-CP.2.6, S-CP.2.8
• Use tree diagrams to determine conditional probabilities.
• Apply the general Multiplication Rule.
15–25 min.
On Grade Level
Core materials (p. 610) Lesson 41-3 Practice Opportunity to apply knowledge and practice skills developed in the lesson.
10 min. On Grade Level
SpringBoard Digital / Assessments
Lesson 41-3 Quiz Opportunity to demonstrate knowledge and skills developed in the lesson.
1 45-min. period
On Grade Level
Core materials (p. 611) Activity 41 Practice Opportunity to apply knowledge and practice skills developed in the activity.
View Khan Academy Videos: Probability of A given B • Filling in a Two-Way Table and Conditional Probability • Conditional Probability Formula • Conditional Probability - Tree Diagram
59
ACTIVITY 42 Unit 6: Probability
Geometry Curriculum Map
Key: Getting Ready Practice Mini-Lesson
PacingLevel of Instruction Resource Instructional Focus MAFS Learning Targets or Assessment Focus
1 45-min. period
On Grade Level
Core materials (p. 613) Lesson 42-1 The Multiplication Rule S-CP.1.2, S-CP.1.5,
S-CP.2.8
• Understand when two events are independent.• Use the Multiplication Rule to determine if two
events are independent.• Understand independent and dependent events
in real-world situations.
15–25 min.
On Grade Level
Core materials (p. 619) Lesson 42-1 Practice Opportunity to apply knowledge and practice skills developed in the lesson.
10 min. On Grade Level
SpringBoard Digital / Assessments
Lesson 42-1 Quiz Opportunity to demonstrate knowledge and skills developed in the lesson.
1 45-min. period
On Grade Level
Core materials (p. 621) Lesson 42-2 Geometric Probability S-CP.1.5, S-MD.2.7, MP.4
• Discover ways probability is used in real-life situations.
• Determine the probability of an event involving area.
• Use a linear model to determine probability involving elapsed time.
15–25 min.
On Grade Level
Core materials (p. 623) Lesson 42-2 Practice Opportunity to apply knowledge and practice skills developed in the lesson.
10 min. On Grade Level
SpringBoard Digital / Assessments
Lesson 42-2 Quiz Opportunity to demonstrate knowledge and skills developed in the lesson.
1 45-min. period
On Grade Level
Core materials (p. 625) Lesson 42-3 Permutations and Combinations S-CP.2.9
• Use permutations and combinations to compute probabilities of compound events and solve problems.
15–25 min.
On Grade Level
Core materials (p. 630) Lesson 42-3 Practice Opportunity to apply knowledge and practice skills developed in the lesson.
10 min. On Grade Level
SpringBoard Digital / Assessments
Lesson 42-3 Quiz Opportunity to demonstrate knowledge and skills developed in the lesson.
1 45-min. period
On Grade Level
Core materials (p. 631) Activity 42 Practice Opportunity to apply knowledge and practice skills developed in the activity.
60
ACTIVITY 42 Unit 6: Probability
Geometry Curriculum Map
Key: Getting Ready Practice Mini-Lesson
PacingLevel of Instruction Resource Instructional Focus MAFS Learning Targets or Assessment Focus
1 45-min. period
On Grade Level
Core materials (p. 633)
Embedded Assessment 2Conditional Probability and Independent Events—Diane’s E-Books
S-CP.1.2, S-CP.1.3, S-CP.1.4, S-CP.1.5, S-CP.2.6, S-CP.2.7(+), S-CP.2.8, S-CP.2.9
Assessment Focus• Independent events• Conditional probability• Multiplication Rule• Geometric probability• Permutations and combinations
1 45-min. period
On Grade Level
SpringBoard Digital / Assessments
Unit 6 Assessments A/B Opportunity to demonstrate knowledge and skills developed in the unit.
10 min. per lesson
On Grade Level
Geometry Skills Workshop (p. 262)
Additional Unit Practice Opportunity to apply knowledge and practice skills developed in the unit.
View Khan Academy Videos: Independent Events • Independent vs. Dependent Events • Compound Probability of Independent Events • Probability without Equally Likely Events • Independent Events - Test Taking • Die Rolling Probability with Independent Events • Coin Flipping Probability of Independent Events • Free-Throw Probabilities of Independent Events • Three-Pointer vs. Free-Throw Probability • Simple Probability including Counting and Area Examples • Permutation Formula • Intro to Combinations • Permutation and Combination Formulas • Probability using Combinations