INTEGRATED MATH 2GRANITE

Proposed Integrated Math II TOC

New Lesson Title CCSS Chapter 0 Preparing for Geometry

0-1 Changing Units of Measure Within Systems — 0-2 Changing Units of Measure Between Systems — 0-3 Simple Probability — 0-4 Algebraic Expressions — 0-5 Linear Equations — 0-6 Linear Inequalities — 0-7 Ordered Pairs — 0-8 Systems of Linear Equations — 0-9 Square Roots and Simplifying Radicals —

Chapter 1 Relationships in Triangles Explore 1-1 Geometry Lab: Constructing Bisectors

1-1 Bisectors of Triangles G.CO.10 Explore 1-2 Geometry Lab: Constructing Medians and Altitudes

1-2 Medians and Altitudes of Triangles G.CO.10 1-3 Inequalities in One Triangle G.CO.10

Explore 1-4 Geometry Lab: Matrix Logic 1-4 Indirect Proof G.CO.10

Explore 1-5 Graphing Technology Lab: The Triangle Inequality 1-5 The Triangle Inequality G.CO.10 1-6 Inequalities in Two Triangles G.CO.10

Chapter 2 Quadrilaterals 2-1 Angles of Polygons

Extend 2-1 Spreadsheet Lab: Angles of Polygons 2-2 Parallelograms G.CO.11, G.GPE.4

Explore 2-3 Geometry Software Lab: Parallelograms 2-3 Tests for Parallelograms G.CO.11, G.GPE.4 2-4 Special Parallelograms: Rectangles G.CO.11, G.GPE.4 2-5 Special Parallelograms: Rhombi, Squares G.CO.11, G.GPE.4

New Lesson Title CCSS 2-6 Trapezoids and Kites G.GPE.4

Chapter 3 Similarity Explore 3-1 Graphing Technology Lab: Dilations G.SRT.1a, G.SRT.1b

3-1 Dilations G.SRT.1a, G.SRT.1b 3-2 Similar Polygons G.SRT.2, G.SRT.3 3-3 Similar Triangles: AA Similarity G.SRT.2, G.SRT.3, G.SRT.4, G.SRT.5 3-4 Similar Triangles: SSS and SAS Similarity G.SRT.2, G.SRT.4, G.SRT.5

Extend 3-4 Geometry Lab: Proofs of Perpendicular and Parallel Lines G.GPE.5 3-5 Parallel Lines and Proportional Parts G.CO.10, G.SRT.4, G.SRT.5 3-6 Parts of Similar Triangles G.SRT.4, G.SRT.5

Extend 3-6 Geometry Lab: Fractals Chapter 4 Right Triangles and Trigonometry

4-1 Geometric Mean G.SRT.4, G.SRT.5 Explore 4-2 Geometry Lab: Proofs Without Words G.CO.10

4-2 The Pythagorean Theorem and Its Converse G.SRT.8 Extend 4-2 Coordinates in Space

4-3 Special Right Triangles G.SRT.6 Explore 4-4 Graphing Technology Lab: Trigonometry G.SRT.6

4-4 Trigonometry G.SRT.6, G.SRT.7, G.SRT.8 Extend 4-4 Graphing Technology Lab: Secant, Cosecant, and Cotangent G.SRT.6

4-5 Angles of Elevation and Depression G.SRT.8 4-6 The Law of Sines (Moved) G.SRT.8, G.SRT.9, G.SRT.10, G.SRT.11 4-7 The Law of Cosines (Moved) G.SRT.8, G.SRT.10, G.SRT.11

Chapter 5 Circles 5-1 Circles and Circumference G.C.1, G.GMD.1 5-2 Measuring Angles and Arcs G.C.2, G.C.5 5-3 Arcs and Chords G.C.2 5-4 Inscribed Angles G.C.2, G.C.3 5-5 Tangents G.C.2, G.C.4

Extend 5-5 Geometry Lab: Inscribed and Circumscribed Circles G.CO.13, G.C.3 5-6 Secants, Tangents, and Angle Measures G.C.2 5-7 Equations of Circles G.GPE.1, G.GPE.4

New Lesson Title CCSS 5-8 Equations of Parabolas G.GPE.2

Chapter 6 Extending Area 6-1 Areas of Parallelograms and Triangles

Explore 6-2 Graphing Technology Lab: Areas of Trapezoids, Rhombi, and Kites 6-2 Areas of Trapezoids, Rhombi, and Kites 6-3 Areas of Circles and Sectors G.C.5, G.GMD.1

Explore 6-4 Geometry Lab: Investigating Areas of Regular Polygons 6-4 Areas of Regular Polygons and Composite Figures

Extend 6-4 Geometry Lab: Regular Polygons on the Coordinate Plane 6-5 Area and Nonrigid Transformations G.GMD.1 6-6 Surface Area

Chapter 7 Probability 7-1 Representing Sample Spaces 7-2 Probability and Counting S.CP.1 7-3 Probability with Permutations and Combinations S.CP.9 7-4 Geometric Probability S.MD.7 7-5 Probability and the Multiplication Rule S.CP.1, S.CP.2, S.CP.8, S.MD.7 7-6 Probability and the Addition Rule S.CP.1, S.CP.7 7-7 Conditional Probability S.CP.3, S.CP.5, S.CP.6 7-8 Two-Way Frequency Tables S.CP.4, S.CP.6

Chapter 8 Linear Equations and Inequalities 8-1 Solving Linear Equations A.CED.1 8-2 Solving Linear Inequalities A.CED.1

Extend 8-2 Algebra Lab: Interval and Set-Builder Notation 8-3 Rate of Change and Slope A.SSE.1b, A.CED.2 8-4 Writing Linear Equations 8-5 Graphing Linear Inequalities

Explore 8-6 Graphing Technology Lab: Intersections of Graphs 8-6 Solving Systems of Equations A.CED.2 8-7 Solving Systems of Inequalities by Graphing

Extend 8-7 Graphing Technology Lab: Systems of Linear Inequalities 8-8 Optimization with Linear Programming

New Lesson Title CCSS 8-9 Solving Systems of Equations in Three Variables

Chapter 9 Relations and Functions 9-1 Functions and Continuity F.IF.4 9-2 Linearity and Symmetry A.SSE.1b, F.IF.4, F.IF.9 9-3 Extrema and End Behavior 9-4 Sketching Graphs of Functions A.CED.2, F.IF.4 9-5 Graphing Special Functions A.SSE.1b, A.CED.2, F.IF.4, F.IF.7b 9-6 Transformations of Functions A.SSE.1b, F.IF.4, F.IF.9, F.BF.3 9-7 Solving Equations by Graphing A.CED.2, F.IF.4

Chapter 10 Polynomials Explore 10-1 Algebra Lab: Adding and Subtracting Polynomials A.APR.1

10-1 Adding and Subtracting Polynomials A.APR.1 10-2 Multiplying a Polynomial by a Monomial A.APR.1

Explore 10-3 Algebra Lab: Multiplying Polynomials A.APR.1 10-3 Multiplying Polynomials A.APR.1 10-4 Special Products A.APR.1

Explore 10-5 Algebra Lab: Factoring Using the Distributive Property 10-5 Using the Distributive Property

Extend 10-5 Algebra Lab: Proving the Elimination Method Explore 10-6 Algebra Lab: Factoring Trinomials

10-6 Factoring Quadratic Trinomials 10-7 Factoring Special Products

Chapter 11 Quadratic Functions and Equations 11-1 Graphing Quadratic Functions A.SSE.1a, A.CED.2, F.IF.4, F.IF.5, F.IF.7a

Extend 11-1 Algebra Lab: Rate of Change of a Quadratic Function F.IF.4, F.IF.6 11-2 Transformations of Quadratic Functions F.IF.4, F.IF.7a 11-3 Solving Quadratic Equations by Graphing A.CED.1, A.CED.2, A.REI.4b, F.IF.4, F.IF.7a

Extend 11-3 Graphing Technology Lab: Quadratic Inequalities 11-4 Solving Quadratic Equations by Factoring N.CN.8, A.SSE.3a, A.CED.1, A.REI.4b, F.IF.8a 11-5 Solving Quadratic Equations by Completing the Square N.CN.7, N.CN.8, A.SSE.2, A.CED.1, A.REI.4a, A.REI.4b,

F.IF.8a Extend 11-5 Algebra Lab: Finding the Maximum or Minimum Value A.SSE.3b, F.IF.8a

New Lesson Title CCSS 11-6 Solving Quadratic Equations by Using the Quadratic Formula N.CN.7, N.CN.8, A.SSE.1b, A.CED.1, A.CED.4, A.REI.4a,

A.REI.4b 11-7 Solving Systems of Linear and Quadratic Equations A.REI.7 11-8 Analyzing Functions with Successive Differences F.IF.6, F.LE.3

Extend 11-8 Graphing Technology Lab: Curve Fitting F.LE.3 11-9 Combining Functions F.BF.1b

Chapter 12 Trigonometric Identities and Equations 12-1 Trigonometric Identities F.TF.8 12-2 Verifying Trigonometric Identities F.TF.8 12-3 Sum and Difference Identities F.TF.8 12-4 Double-Angle and Half-Angle Identities F.TF.8

Explore 12-5 Graphing Technology Lab: Solving Trigonometric Equations 12-5 Solving Trigonometric Equations F.TF.8

Integrated 2 Online Honors Lessons Nonlinear Inequalities Trigonometric Functions on the Unit Circle Trigonometric Identities Verifying Trigonometric Identities Sum and Difference Identities Graphing Tech Lab: Reduction Identities Multiple-Angle and Product-to-Sum Identities Ellipses and Circles Hyperbolas Matrix Multiplication, Inverses, and Determinants Graphing Tech Lab: Determinants and Areas of Polygons Solving Linear Systems Using Inverses and Cramer’s Rule Graphing Tech Lab: Matrices and Cryptography Operations with Complex Numbers