Mathematics Pacing Resource Document

Indianapolis Public Schools Curriculum and Instruction

7th Grade - Algebra and Functions Strand Standard:

7.AF.4: Define slope as vertical change for each unit of horizontal change and recognize that a constant rate of change or constant slope describes a linear function. Identify and describe situations with constant or varying rates of change.

I can: Determine slope given ordered pairs, a graph, or a word problem.

Compare the slope of a given situation in terms of rate of change.

Lesson Plans/Print Activities:

Quarter One Material not covered in Quarter One

Quarter Two Standard Grade 7: Math Connects Course 2 (blue book)

Lesson 6-3 (Rate of Change and Slope) Lesson IN 5 - p. IN 18 – IN 23 (Slope and Similar Triangles) Good Problems:

p. 297 #10-13, 15-16 p. 309 #45 p. 317 #8 p. 334 #19 p. 337 #6 p. 709 #5

Honors Grade 7: Math Connects Course 3 (green book) Lesson 4-3 (Rate of Change) Extra Practice – Bottom of p. 677 Good Problems:

p. 209 #29 p. 243 #13-14 p. 244 #15-16

Web-based Resources:

Khan Academy Video: https://www.khanacademy.org/math/algebra/linear-equations-

and-inequalitie/slope-and-intercepts/v/slope-and-rate-of-change

Learn Zillion Video: https://learnzillion.com/student/lessons/1834-determining-the

constant-rate-of-change

Word Problems Practice Activity: http://www.jensenmath.ca/5.4%20worksheet-1.pdf

Illuminations Application Activity (combines several concepts pertaining to Slope) http://illuminations.nctm.org/Lesson.aspx?id=1060

Mathematics Pacing Resource Document

Indianapolis Public Schools Curriculum and Instruction

p. 247 #13-14 p. 249 #14 p. 703 #5

Pre-Algebra Text (purple book) Lesson 8-4 (Rate of Change)

p. 416 #9-13 p. 417 #19-22

Lesson 8-5 (Constant Rate of Change) p. 423 #8-13, 14-17 p. 424 #19-22 p. 425 #20-22

Extra Practice – p. 827 Good Problems:

p. 460 #24-26 p. 467 #3

Additional Lesson Plan

http://www.wccusd.net/cms/lib03/CA01001466/Centricity/domain/60/lessons/algebra%20i%20lessons/DiscoveringSlopeV1.pdf

Mathematics Pacing Resource Document

Indianapolis Public Schools Curriculum and Instruction

7th Grade - Algebra and Functions Strand Standard:

7.AF.7: Identify the unit rate or constant of proportionality in tables, graphs, equations, and verbal descriptions of proportional relationships. Key Vocabulary: Constant of Proportionality – the constant value of the ratio of two proportional quantities x and y; usually written y = kx, where k is the factor (constant) of proportionality.

I can: Identify the unit rate or constant of proportionality in various situations

Understand the context of a constant of proportionality

Lesson Plans/Print Activities:

Quarter One Material not covered in Quarter One

Quarter Two Standard Grade 7: Math Connects Course 2 (blue book)

Lesson 6-2 (Unit Rate) Lesson 6-3 (Rate of Change and Slope) Extra Practice – p. 682 Good Problems:

p. 291 #30-32 p. 292 #33 – 37 ISTEP + p. 7 #4 ISTEP + p. 9 #22

Honors Grade 7: Math Connects Course 3 (green book) Lesson 4-3 (Rate of Change) Extra Practice – Bottom of p. 677 Good Problems:

p. 243 #11-12

Pre-Algebra Text (purple book)

Web-based Resources:

Learn Zillion Videos: https://learnzillion.com/lessons/873-identify-the-constant-of-

proportionality-in-ratio-tables https://learnzillion.com/lessons/874-identify-the-constant-of-

proportionality-in-graphs https://learnzillion.com/lessons/875-write-an-equation-that-

expresses-the-relationship-between-two-proportional-quantities https://learnzillion.com/lessons/876-identify-the-constant-of-

proportionality-from-a-diagram https://learnzillion.com/lessons/877-identify-the-constant-of-

proportionality-by-writing-an-equation-in-the-form-ymx

Online Practice Problems With Immediate Feedback: http://www.ixl.com/math/grade-7/find-the-constant-of-variation

Mathematics Pacing Resource Document

Indianapolis Public Schools Curriculum and Instruction

Lesson 6-4 (Proportional and Nonproportional Relationships)

p. 285 #21-24 p. 320 #27-29 p. 327 #6

Mathematics Pacing Resource Document

Indianapolis Public Schools Curriculum and Instruction

7th Grade - Computation Strand Standard:

7.C.5: Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units.

I can: Identify a ratio.

Convert from one unit to a larger unit.

Convert from one unit to a smaller unit.

Lesson Plans/Print Activities:

Quarter One Quarter Two Standard Grade 7: Math Connects Course 2 (blue book)

Lesson 6–2 Rates Good Problems:

p. 290 #19-24 p. 297 #17 p. 334 #16-18 p. 337 #3-4 p. 339 #1, 2 p. 709 #3, 4, 6 ISTEP + p. 2 #9, 20

Honors Grade 7: Math Connects Course 3 (green book) Lesson 4–1 Good Problems:

p. 193 #29, 30

Online Resources:

This lesson provides an opportunity for students to compute unit rates in a real-world setting: https://www.illustrativemathematics.org/illustrations/82

This lesson provides another opportunity for students to compute unit rates in a real-world setting: https://www.illustrativemathematics.org/illustrations/470

Sample problems are provided along with a unit price game link: http://www.mathsisfun.com/measure/unit-price.html

Khan Academy This provides a tutorial of solving a word problem involving unit rates: http://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-

ratios-prop-topic/cc-6th-rates/v/finding-unit-rates

Mathematics Pacing Resource Document

Indianapolis Public Schools Curriculum and Instruction

p. 197 #20 p.215 # 1-7 p. 243 # 7 – 10 p. 247 # 1 – 3 p. 289 #38-39 p. 300 #7, 9 p. 349 # 9 p. 703 #2 p. 721 #18 p. 677 (Extra Practice)

Pre-Algebra Book (purple book) Lesson 6-2 Unit Rates Good Problems:

p. 273 #26-29 p. 274 #31-34 p. 319 #14-18 p. 326 #2

Mathematics Pacing Resource Document

Indianapolis Public Schools Curriculum and Instruction

7th Grade – Computation Strand Standard:

7.C.6: Use proportional relationships to solve ratio and percent problems with multiple operations, such as the following: simple interest, tax, markups, markdowns, gratuities, commissions, fees, conversions within and across measurement systems, percent increase and decrease, and percent error. Key Vocabulary: Proportional relationship – when two ratios are equal, they are said to have a proportional relationship.

I can: Simplify a proportion.

Create a proportion when given information.

Calculate simple interest.

Calculate tax.

Calculate tips and discounts.

Figure percent increase and decrease.

Lesson Plans/Print Activities:

Quarter One

Quarter Two Standard Grade 7: Math Connects Course 2 (blue book)

Lesson 6-6 TeacherWorks CD: pages 43-44, Word Problems and Enrichment

Lesson 7-3 TeacherWorks CD, Pages 27-28 Lesson 7-4 TeacherWorks CD, Pages 33-34 Lesson 7-6 TeacherWorks CD, Pages 43-44 Lesson 7-7 TeacherWorks CD, Pages 50-51 Lesson 7-8 TeacherWorks CD, Pages 56 – 57 Good Problems:

p. 385-397 #26, 32, 40, 47, 51, 54 p. 389 #9, 22- 25 p. 391 #13, 14

Online Resources:

This activity provides an opportunity for students to practice calculating tip and tax: https://www.illustrativemathematics.org/illustrations/106

These videos provide tutorials for multiple proportion processes. Search “percent” or “proportion” and scroll down.

http://www.virtualnerd.com/tutorials/?id=Alg1_4_4

MathPlayground.com http://www.mathplayground.com/percent_shopping.html http://www.mathplayground.com/mathatthemall2.html

This provides an opportunity for online practice: http://www.quia.com/cb/55701.html

Mathematics Pacing Resource Document

Indianapolis Public Schools Curriculum and Instruction

p. 710 #5-7, 10-15 ISTEP + p. 6 #44

Honors Grade 7: Math Connects Course 2 (green book) Lessons 4-2, 4-5, 5-1, 5-3, 5-6, 5-7, 5-8, and 5-9 Good Problems:

p. 283 #30-31 p. 289 #31-32 p. 293 #25-26 p. 298 $51-54 p. 299 #24-25 p. 300 #1, 2, 3, 8, 11 p. 310 #42 p. 348 #2, 10 p. 410 #5 p. 704 #9, 10, 12, 13, 15

p. 703 (Mixed Problem Solving) p. 677, 678, 680, 681 (Extra Practice)

Pre-Algebra Text (purple book) Lesson 7.5 Percent Equations

p. 362 #35-38 Lesson 7.6 Percent of Change

p. 369 #40-43 Lesson 7.7 Simple and Compound Interest

p. 374 #38-41 p. 385 #54-64

Mathematics Pacing Resource Document

Indianapolis Public Schools Curriculum and Instruction

7th Grade – Geometry and Measurement Strand Standard:

7.GM.1: Draw triangles (freehand, with ruler and protractor, and using technology) with given conditions from three measures of angles or sides, and notice when the conditions determine a unique triangle, more than one triangle, or no triangle.

I Can: Draw triangles freehand when given conditions from three measures of angles or sides.

Draw triangles with a ruler and a protractor when given conditions from three measures of angles or sides.

Draw triangles using technology when given conditions from three measures of angles or sides.

Notice when given conditions determine a unique triangle, more than one triangle, or no triangle.

Lesson Plans/Print Activities:

Quarter One Material not covered in Quarter One

Quarter Two Standard Grade 7: Math Connects Course 2 (blue book)

Section 10-4 (Triangles)

Honors Grade 7: Math Connects Course 3 (green book) The text does not provide resources for this standard; please refer to the right side of this document.

Pre-Algebra text (purple book) The text does not provide resources for this standard; please refer to the right side of this document.

Other Lesson:

This handout prompts students to construct triangles when given various conditions:

Web-based Practice:

This is a series of short videos that explain the process for drawing a triangle:

http://www.onlinemathlearning.com/construct-shapes-7g2.html

This is a LearnZillion explanation of how to draw a triangle when given angles:

https://learnzillion.com/lessons/1070-draw-triangles-using-given angles

This handout prompts students to construct triangles when given side measures: http://www.mathsisfun.com/geometry/triangle-3-4-5.html

This practice activity gives students an opportunity to construct and classify triangles when given conditions: http://www.mathblaster.com/teachers/math-worksheets/all-printable-math-worksheets/characteristics-of-a-triangle-view

Mathematics Pacing Resource Document

Indianapolis Public Schools Curriculum and Instruction

http://www.math-only-math.com/worksheet-on-construction-of-triangles.html

This provides an opportunity for students to practice online: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-geometry/cc-7th-constructing-slicing-geometric-shapes/e/constructing-triangles

Mathematics Pacing Resource Document

Indianapolis Public Schools Curriculum and Instruction

7th Grade – Geometry and Measurement Strand Standard:

7.GM.2: Identify and describe similarity relationships of polygons including the angle-angle criterion for similar triangles, and solve problems involving similarity. Key Vocabulary: Similarity - in similar figures, the corresponding angles are congruent, and the corresponding sides are proportional.

I Can: Identify and describe the similarity between two or more shapes.

Find the missing side when given similar figures.

Lesson Plans/Print Activities:

Quarter One Material not covered in Quarter One

Quarter Two

Standard Grade 7: Math Connects Course 2 (blue book) Section 10-7 (Similar Figures) Good Problems:

p. 565 #21 ISTEP + p. 13 #2

Honors Grade 7: Math Connects Course 3 (green book) Section 4-7 (Similar Polygons) Good Problems:

p. 223 #18-19 p. 230 #29 p. 245 #25-28 p. 247 #9-10 p. 248 #2 ISTEP + p. 13 #15

Web-based Practice:

This is a short video explaining how to identify similar polygons:

http://www.brightstorm.com/math/geometry/similarity/properties-of-similar-polygons/

This is a short video from Khan Academy that explains properties of similar figures:

https://www.khanacademy.org/math/geometry/similarity/old_school_similarity/v/similar-triangles

This offers a tutorial regarding similar polygons: http://www.sophia.org/tutorials/similar-polygons

Mathematics Pacing Resource Document

Indianapolis Public Schools Curriculum and Instruction

p. 721 #15

Pre-Algebra text (purple book) Section 6-7 (Similar Figures) Good Problems:

p. 306 #22-25

Mathematics Pacing Resource Document

Indianapolis Public Schools Curriculum and Instruction

7th Grade – Geometry and Measurement Strand Standard:

7.GM.3: Solve real-world and other mathematical problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing. Create a scale drawing by using proportional reasoning. Key Vocabulary: Scale drawings - drawings that show a real object with accurate sizes except they have all been reduced or enlarged by a certain amount (called the scale).

I Can: Solve real-world problems involving scale.

Solve problems involving scale drawings and geometric figures.

Create scale drawings using proportions.

Lesson Plans/Print Activities:

Quarter One Material not covered in Quarter One

Quarter Two Standard Grade 7: Math Connects Course 2 (blue book)

Section 6-8 (Scale Drawings) Extra Practice – p. 684 Good Problems:

p. 336 #41-42 p. 337 #15-16 p. 339 #8 ISTEP + p. 14 #5

Honors Grade 7: Math Connects Course 3 (green book) Section 4-10 (Scale Drawings and Models) Extra Practice – p. 680 Good Problems:

p. 241 #25-26 p. 246 #33-35

Web-based Practice:

This is a long but relevant project/extension activity pertaining to scale models. Teacher instructions and student activities are included: http://map.mathshell.org/materials/download.php?fileid=1376

This is a Khan Academy tutorial regarding scale drawings: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-

7th-geometry/cc-7th-scale-drawings/v/scale-drawings-example

This short PBS video examines scale models in the real world http://www.pbslearningmedia.org/resource/mket.math.rp.miniland/scale-models-in-the-real-world/

This is an online learning activity: http://education-portal.com/academy/lesson/how-to-read-and-interpret-scales-meters.html#lesson

Mathematics Pacing Resource Document

Indianapolis Public Schools Curriculum and Instruction

p. 247 #12 p. 248 #4 p. 261 #65 p. 703 #8, 9, 12, 13

Pre-Algebra text (purple book) Section 6-6 (Scale Drawings and Models) Good Problems:

p. 399 #25-28 Other Lessons:

http://www.cpalms.org/Public/PreviewResource/Preview/28885

This lesson provides a description of scale drawings and includes several helpful visuals (both images and videos): http://www.ck12.org/user:YmdyZWVyQG1pdGFjYWRlbXkub3Jn/section/Proportions-and-Scale-Drawings-%253A%253Aof%253A%253A-

Ratios%252C-Proportions%252C-and-Percents/

Mathematics Pacing Resource Document

Indianapolis Public Schools Curriculum and Instruction

7th Grade – Geometry and Measurement Strand Standard:

7.GM.4: Solve real-world and other mathematical problems that involve vertical, adjacent, complementary, and supplementary angles. Key Vocabulary: Vertical angles - angles opposite each other when two lines intersect. Adjacent angles - angles that share a common side. Complementary angles - two angles whose sum is 90 degrees. Supplementary angles- two angles whose sum is 180 degrees

I Can: Solve problems involving angle relationships (vertical, adjacent, complementary, and supplementary).

Lesson Plans/Print Activities:

Quarter One Material not covered in Quarter One

Quarter Two Standard Grade 7: Math Connects Course 2 (blue book)

Section 10-1 (Angle Relationships) Section 10-2 (Complementary and Supplementary Angles) Extra Practice – p. 693 Good Problems:

p. 517 #23, 24 p. 564 #9-10 p. 567 #3-5 p. 568 #1

Honors Grade 7: Math Connects Course 3 (green book) Section 6-1 (Line and Angle Relationships) Extra Practice – p. 683

Web-based Practice:

This is an application activity regarding word problems pertaining to complementary and supplementary angles. Click on the link at the top of the following page: http://webcache.googleusercontent.com/search?q=cache:uXBO4vpr6jgJ:https://www.engageny.org/file/63441/download/math-g7-m6-topic-a-lesson-1-teacher.pdf%3Ftoken%3DZGyjrvPrY6mnCkA0_peLCd7V67Eh_bHzUBPo-QrvYbE+&cd=1&hl=en&ct=clnk&gl=us&client=firefox-a

This is a Khan Academy tutorial regarding complementary and supplementary angles:

https://www.khanacademy.org/math/geometry/parallel-and-perpendicular-lines/complementary-supplementary-angl/v/complementary-and-supplementary-angles

This is a 10 minute video tutorial regarding angle pair relationships: http://www.teachertube.com/video/determining-angle-pair-relationships-3018

Mathematics Pacing Resource Document

Indianapolis Public Schools Curriculum and Instruction

Good Problems: p. 311 #40-41 p. 343 #9-12 p. 347 #1,2 p. 725 #14

Pre-Algebra text (purple book) Section 11-1 (Angle and Line Relationships) Good Problems:

p. 595 #37-40 Other Lessons:

http://www.cpalms.org/Public/PreviewResource/Preview/28885

This lesson provides a description of scale drawings and includes several helpful visuals (both images and videos): http://www.ck12.org/user:YmdyZWVyQG1pdGFjYWRlbXkub3Jn/section/Proportions-and-Scale-Drawings-%253A%253Aof%253A%253A-

Ratios%252C-Proportions%252C-and-Percents/

This activity offers an opportunity for students to apply angle concepts: http://www.mathworksheets4kids.com/angles/all-angles-transversals-parallel-lines-1.pdf

Mathematics Pacing Resource Document

Indianapolis Public Schools Curriculum and Instruction

7th Grade – Geometry and Measurement Strand Standard:

7.GM.5: Understand the formulas for area and circumference of a circle and use them to solve real-world and other mathematical problems; give

an informal derivation of the relationship between circumference and area of a circle. Key Vocabulary: Circumference: the distance around the outside of a circle calculated by 2𝜋

I Can: Understand the formula for area of a circle.

Understand the formula for circumference of a circle.

Solve real-world and other mathematical problems involving area and circumference of a circle.

Give a derivation of the relationship between the circumference and area of a circle.

Lesson Plans/Print Activities:

Standard Grade 7: Math Connects Course 2 (blue book)

Section 11-3 (Circles and Circumference) Section 11-4 (Area of Circles) Extra Practice – p. 697-698 Good Problems:

p. 588 #41-43 p. 593 #36-38 p. 627 #15-19 p. 628 #20-22 p. 631 #6-7 p. 633 #8 p. 714 #4, 5

Honors Grade 7: Math Connects Course 3 (green book)

Section 7-1 (Circumference and Area of Circles) Extra Practice – p. 685

Web-based Practice:

These are quick tutorials followed by an opportunity for students to practice problems and to receive immediate feedback: http://www.mathgoodies.com/lessons/vol2/circumference.html http://www.mathgoodies.com/lessons/vol2/circle_area.html http://www.mathgoodies.com/lessons/vol2/practice_unit2.html

This link provides challenge problems pertaining to this standard: http://www.mathgoodies.com/lessons/vol2/challenge_unit2.html

This link provides several examples of videos that help explain concepts in this standard: http://www.watchknowlearn.org/Category.aspx?CategoryID=2028

Mathematics Pacing Resource Document

Indianapolis Public Schools Curriculum and Instruction

Good Problems: p. 357 #39-40 p. 406 #8-10 p. 409 #1-2 p. 410 #1 p. 706 #1 p. 721 #19

Pre-Algebra text (purple book)

Section 11-7 (Circles and Circumference) Section 11-8 (Areas of Circles) Good Problems:

p. 635 #30 – 33 p. 641 #37-40

(Scroll down for an additional lesson plan) Other Lesson:

This is a lesson plan with detailed instruction that provides application problems pertaining to this standard: http://www.insidemathematics.org/assets/problems-of-the-month/circular%20reasoning.pdf

Mathematics Pacing Resource Document

Indianapolis Public Schools Curriculum and Instruction

7th Grade – Geometry and Measurement Strand Standard:

7.GM.6: Solve real-world and other mathematical problems involving volume of cylinders and three-dimensional objects composed of right rectangular prisms. Key Vocabulary: Volume - the amount of 3-dimensional space an object occupies; capacity.

I Can: Find the volume of a cylinder.

Find the volume of a rectangular prism.

Find the volume of three-dimensional composite figures.

Lesson Plans/Print Activities:

Quarter One Material not covered in Quarter One

Quarter Two Standard Grade 7: Math Connects Course 2 (blue book)

Section 11-3 (Circles and Circumference) Section 11-4 (Area of Circles) Extra Practice – p. 697-698 Good Problems:

p. 588 #41-43 p. 593 #36-38 p. 627 #15-19 p. 628 #20-22 p. 631 #6-7 p. 633 #8 p. 714 #4, 5

Honors Grade 7: Math Connects Course 3 (green book)

Web-based Practice:

These are quick tutorials followed by an opportunity for students to practice problems and to receive immediate feedback: http://www.mathgoodies.com/lessons/vol2/circumference.html http://www.mathgoodies.com/lessons/vol2/circle_area.html http://www.mathgoodies.com/lessons/vol2/practice_unit2.html

This link provides challenge problems pertaining to this standard: http://www.mathgoodies.com/lessons/vol2/challenge_unit2.html

This link provides several examples of videos that help explain concepts in this standard: http://www.watchknowlearn.org/Category.aspx?CategoryID=2028

Mathematics Pacing Resource Document

Indianapolis Public Schools Curriculum and Instruction

Section 7-1 (Circumference and Area of Circles) Extra Practice – p. 685 Good Problems:

p. 357 #39-40 p. 406 #8-10 p. 409 #1-2 p. 410 #1 p. 706 #1 p. 721 #19

Pre-Algebra text (purple book) Section 11-7 (Circles and Circumference) Section 11-8 (Areas of Circles) Good Problems:

p. 635 #30 – 33 p. 641 #37-40

(Scroll down for an additional lesson plan) Other Lesson:

This is a lesson plan with detailed instruction that provides application problems pertaining to this standard: http://www.insidemathematics.org/assets/problems-of-the-month/circular%20reasoning.pdf