Mathematics Pacing Resource Document

Indianapolis Public Schools Curriculum and Instruction

7th Grade - Algebra and Functions Strand Standard:

7.AF.1: Apply the properties of operations (e.g., identity, inverse, commutative, associative, distributive properties) to create equivalent linear expressions, including situations that involve factoring (e.g., given 2x - 10, create an equivalent expression 2(x - 5)). Justify each step in the process. Key Vocabulary: Linear Expression - An expression with a variable in it; however, the variable is only raised to the first power. Factoring - Taking a number or an algebraic expression and breaking it apart into its factors. Equivalent - having the same value; equal.

I can: Solve a mathematical expression using the correct order of operations.

Apply the commutative, associative, and distributive properties to solve mathematical expressions

Apply the inverse property to solve mathematical expressions.

Explain/justify how I solved each problem.

Lesson Plans/Print Activities: (Scroll down for Quarter Three)

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

Lesson 1-4 (Order of Operations) Lesson 1-6 (order of operations with substitution) Lesson 1-7 (using inverse operations) Lesson 1-8 (properties with justification) Lesson 3-1 (writing expressions and equations)

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

Web-based Resources:

Click on link at top of page once redirected and then begin Power Point on slide 11: http://webcache.googleusercontent.com/search?q=cache:ArDbCth7LU8J:www.kyrene.org/cms/lib2/AZ01001083/Centricity/Domain/1431/6.EE.EngageNY.Lesson11and12.pptx+apply+the+properties+of+operations+to+create+equivalent+expressions,+including+situations+taht+invo

This provides an online activity: http://www.insidemathematics.org/problems-of-the-month/pom-thewheelshop.pdf

This tutorial provides guidance pertaining to algebraic expressions:

Mathematics Pacing Resource Document

Indianapolis Public Schools Curriculum and Instruction

Lesson 1-7 (writing equations)

Quarter Three: **This lesson contains all portions of the standard:

Scroll down and lick on the teacher link and the teacher resources for this standard begin on p. 12:

https://www.engageny.org/resource/grade-7-mathematics-module-3

Click on the student link and the student resources for this standard begin on p. 1: https://www.engageny.org/resource/grade-7-mathematics-module-3

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

Lesson 1-6 (Order of operations with substitution) (reinforce)

Good Problems: p. 47 #42 – 43 p. 55 #39, 40, 43, 44 p. 704 #4, 9 ISTEP + p. 8 #14 ISTEP + p. 10 #24

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

Lesson 8-1 (Simplifying Algebraic Expressions) Good Problems:

p. 421 #66-67

http://www.onlinemathlearning.com/expressions-rational-coefficients-7ee1.html

Mathematics Pacing Resource Document

Indianapolis Public Schools Curriculum and Instruction

p. 707 #16 p. 716 #6

Pre-Algebra text (purple book)

Good Problems: p. 174 #21 – 29, 48 – 53 p. 175 H.O.T. Problems #55, 56, 57 p. 176 #61

Mathematics Pacing Resource Document

Indianapolis Public Schools Curriculum and Instruction

7th Grade - Algebra and Function Strand Standard:

7.AF.2: Solve equations of the form px + q= r and p(x + q) = r fluently, where p, q, and r are specific rational numbers. Represent real-world problems using equations of these forms and solve such problems. Key Vocabulary: Fluently: Calculating quickly and accurately

I can: Solve two step equations.

Solve equations involving the distributive property.

Write multiple step equations involving the distributive property.

Lesson Plans/Print Activities: (Scroll down for Quarter Three)

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

Lesson 3-1 (writing expressions and equations) Lesson 3-5 (two step equations) {#20, 21, 28, 29, 33 word problems}

The textbook does not have any lessons that correspond directly with solving linear equations involving distributive property. Please see additional resources to the right.

Honors Grade 7: Math Connects Course 2 (green book)

Lesson 1 – 7 (writing equations) p. 77 # 39 – 40 p. 79 #24 – 25 p. 81 # 4 p. 670 (Extra Practice) p. 700 # 9 - 10

Web-based Resources: 2 minute video from Virtual Nerd:

http://www.virtualnerd.com/algebra-1/linear-equations-solve/two-or-multi-step/multiple-steps/distributive-propertiy-multi-step-example

6 minute video from Khan Academy:

https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/complicated_equations/v/solving-equations-with-the-distributive-property

Distributive Property Worksheet and Answer Key (without negatives) http://www.worksheetworks.com/pdf/7db/60800271737fb/WorksheetWorks_Solving_MultiStep_Equations_1.pdf

Distributive Property Worksheet and Answer Key (with negatives) http://www.worksheetworks.com/pdf/7db/60800271737fb/WorksheetWorks_Solving_MultiStep_Equations_2.pdf

Two-Step Equations activity (with answer sheet)

Mathematics Pacing Resource Document

Indianapolis Public Schools Curriculum and Instruction

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

Lesson 1-7 (Algebra: Equations) Good Problems:

p. 51-52 #5, 18, 19, 20, 33 p. 154-155 #20, 21, 28, 29, 36, 37, p. 728 #6, 7, 9 p. 732 #3 ISTEP + p. 9 #21, 22 ISTEP + p. 10 #26 ISTEP + p. 11 # 37

Honors Grade 7: Math Connects Course 2 (green book)

Lesson 8-2 (Solving Two-Step Equations) Lesson 8-3 (Writing Two-Step Equations) Good Problems:

p. 425 #24, 25, 32, 33 p. 426 #46, 47 p. 429 #10 – 14 p. 431 #30 – 31 p. 439 #10 p. 440 #10 – 13 p. 455 #18, 21 p. 459 # 11 p. 700 #12, 13 p. 707 #3 – 8 p. 716 #5

http://cdn.kutasoftware.com/Worksheets/Alg1/Two-Step%20Equations.pdf

Mathematics Pacing Resource Document

Indianapolis Public Schools Curriculum and Instruction

Pre-Algebra text (purple book) Good Problems:

p. 251 # 28 p. 255 #22 p. 846 #4, 5, 6, 7, 8, 9, 11 p. 847 #3, 4

Mathematics Pacing Resource Document

Indianapolis Public Schools Curriculum and Instruction

7th Grade - Algebra and Functions Strand Standard:

7.AF.3: Solve inequalities of the form px +q (> or ≥) r or px + q (< or ≤) r, where p, q, and r are specific rational numbers. Represent real-world problems using inequalities of these forms and solve such problems. Graph the solution set of the inequality and interpret it in the context of the problem.

I can: solve two-step inequalities

graph the solution set of inequalities.

interpret or explain the meaning of the solution set to an inequality.

Lesson Plans/Print Activities:

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

Lesson IN 2 (Linear Inequalities) Good Problems:

p. IN 8 #8 – 19, 20-23, 27, 28 ISTEP + p. 10 #25, 28

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

Lesson 8-6 (Inequalities) Lesson 8-7 (Solving Inequalities by Adding or Subtracting) Lesson 8-8 (Solving Inequalities by Multiplying and Dividing) Good Problems:

p. 447 #28 – 30 p. 448 #31, 32, 39, 40 p. 452-453 #9, 28, 29

Web-based Resources:

This link provides practice with immediate feedback: http://www.ixl.com/math/algebra-1/solve-two-step-linear-

inequalities

This tutorial from Khan Academy provides guidance for solving two-step inequalities:

https://www.khanacademy.org/math/algebra/linear_inequalities/inequalities/v/solving-inequalities

This short video provides guidance for solving and graphing an inequality:

http://www.virtualnerd.com/algebra-1/linear-inequalities/multi- step-examples/multi-step-solutions/inequality-two-step-solution-and-graph

Both of these links provide examples and an answer key: http://www.mathworksheets4kids.com/inequalities/two-step-graph-easy1.pdf

Mathematics Pacing Resource Document

Indianapolis Public Schools Curriculum and Instruction

p. 457 #43 p. 458 #50, 51 ISTEP + p. 6 #6-7

Pre-Algebra Text (purple book)

Good Problems: p. 252 #38 p. 253 #58, 59 p. 256 #39, 48 p. 260 #4 p. 257 #24, 25

http://www.mathworksheets4kids.com/inequalities/two-step-graph-medium1.pdf

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: (Scroll Down for Quarter Three)

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:

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

This link provides an opportunity for student practice with immediate feedback: http://www.ixl.com/math/grade-7/identify-linear-and-nonlinear-functions

Mathematics Pacing Resource Document

Indianapolis Public Schools Curriculum and Instruction

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

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

Lesson IN 5 - p. IN 18 – IN 23 (Slope and Similar Triangles) (reinforce from Quarter 2) p. IN 23 #7 - 13

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

Mathematics Pacing Resource Document

Indianapolis Public Schools Curriculum and Instruction

Lesson 9-3 (Representing Linear Functions) Lesson 9-4 (Slope) Good Problems:

p. 484 #9, 10 p. 485 #23 – 29 p. 708 #4 – 6 p. 716 #4 p. 720 #8 p. 724 #6 p. 728 #4

Pre-Algebra Text (purple book)

Good Problems: p. 416 #14, 16 p. 850 #4

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.5: Graph a line given its slope and a point on the line. Find the slope of a line given its graph. I can:

graph a line on a coordinate plane given the slope and one point on the line.

graph a line given an equation.

determine the slope of a line given the graph of the line.

Lesson Plans/Print Activities:

Quarter Three Standard Grade 7: Math Connects Course 2 (blue book) (This text doesn’t provide a lot of examples where students must graph when given a point and the slope; supplemental resources may need to be used.)

Lesson IN-6 (Graphs of Linear Equations) Lesson 3-7 (Functions and Graphs) Good Problems:

p. IN 27 #14 – 29, 49, 50 p. 166 #1-14, 17-19 ISTEP + p. 9 #23 ISTEP + p. 11 #34 ISTEP + p. 12 #39

Honors Grade 7: Math Connects Course 3 (green book) (This text doesn’t provide a lot of examples where students must graph when given a point and the slope; supplemental resources may need to be used.)

Lesson 9-3 (Representing Linear Functions) Lesson 9-4 (Slope) Good Problems:

p. 484 #11-14

Web-based Resources:

This provides online practice for students graphing when given a point and the slope of a line. Immediate feedback is provided: http://www.ixl.com/math/grade-7/graph-a-line-using-slope

This provides practice for students finding the slope of a given graph. An answer key is included: http://cdn.kutasoftware.com/Worksheets/Alg1/Slope%20From%20a%20Graph.pdf

This tutorial provides guidance for graphing when given a single point and a slope: http://www.virtualnerd.com/tutorials/?id=Alg1_10_1_42

This tutorial provides guidance for graphing when given a point and the slope: https://learnzillion.com/lessons/2336-graph-a-line-given-its-slope-and-a-point

Mathematics Pacing Resource Document

Indianapolis Public Schools Curriculum and Instruction

p. 485 #23 p. 486 #36-37

Pre-Algebra Text (purple book)

Good Problems: p. 429 #2, 3 p. 430 #10 – 13 p. 431 #27

Mathematics Pacing Resource Document

Indianapolis Public Schools Curriculum and Instruction

7th Grade - Algebra and Functions Strand Standard:

7.AF.6: Decide whether two quantities are in a proportional relationship (e.g., by testing for equivalent ratios in a table or graphing on a coordinate plane and observing whether the graph is a straight line through the origin).

I can: Determine whether or not two quantities are in a proportional relationship by testing for equivalent ratios in a table

Determine whether or not two quantities are in a proportional relationship by graphing in a coordinate plane and observing whether the graph is a straight line through the origin.

Lesson Plans/Print Activities:

Quarter Three

**This lesson provides strong guidance in terms of the concepts referenced in this standard. Click the following link and scroll down for teacher and student resources. Teacher resources for this standard appear on p. 39-55 of the teacher pdf. Student resources appear on p. 19-24 of the student pdf.

https://www.engageny.org/resource/grade-7-mathematics-module-1

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

Lesson IN 7 (Direct Variation) Good Problems:

p. IN 32 #1-4 p. IN 33 #6-17 ISTEP + p. 7 #4 ISTEP + p. 9 #22

Web-based Resources:

These provide independent practice for finding proportional relationships: http://www.mathworksheetsland.com/7/2recogproportion/ip.pdf http://www.mathworksheetsland.com/7/5xyproport/ip.pdf

These Khan Academy tutorials provide guidance for analyzing and graphing proportional relationships: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-ratio-proportion/cc-7th-proportional-rel/v/analyzing-and-identifying-proportional-relationships-ex1 https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-relationships-functions/cc-8th-graphing-prop-rel/v/graphing-proportional-relationships-example-2

Mathematics Pacing Resource Document

Indianapolis Public Schools Curriculum and Instruction

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

Lesson 9-5 (Direct Variation) Good Problems:

p. 490 #4 – 9 p. 491 #10 – 15 p. 492 #26

Pre-Algebra Text (purple book)

Good Problems: p. 422 #1-2, 4-7

Mathematics Pacing Resource Document

Indianapolis Public Schools Curriculum and Instruction

7th Grade - Algebra and Functions Strand Standard:

7.AF.8: Explain what the coordinates of a point on the graph of a proportional relationship mean in terms of the situation, with special attention to the points (0, 0) and (1,r), where r is the unit rate. Key Vocabulary: Unit Rate – When rates are expressed as a quantity of 1, such as 2 feet per second or 5 miles per hour Coordinates – The location of a point on the coordinate plane; written in the form (x, y)

I can: explain the meaning of coordinates of a point on the graph of a proportional relationship

Lesson Plans/Print Activities:

Quarter Three **This lesson provides specific guidance for explaining the points (0, 0) and (1, r): http://www.mathinterventions.org/files/uploads/Graphs_of_Proportional_Relationships.pdf

These texts do not adequately support this standard. Supplemental resources should be used.

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

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

Pre-Algebra Text (purple book)

Web-based Resources:

These tasks allow students to practice interpreting points on the graph of a proportional relationship:

https://www.illustrativemathematics.org/illustrations/181 https://www.illustrativemathematics.org/illustrations/1178 https://www.illustrativemathematics.org/illustrations/104

This allows students to practice interpreting points on a distance-time graph:

http://map.mathshell.org/materials/download.php?fileid=1070

Mathematics Pacing Resource Document

Indianapolis Public Schools Curriculum and Instruction

7th Grade - Algebra and Functions Strand Standard:

7.AF.9: Identify real-world and other mathematical situations that involve proportional relationships. Write equations and draw graphs to represent proportional relationships and recognize that these situations are described by a linear function in the form y = mx, where the unit rate, m, is the slope of the line.

I can: identify the unit rate in real-world problems.

draw the graph of a unit rate (recognizing the rate represents the slope of a line with the y-intercept of 0).

write the equation of a real-world problem relating to unit rate (y = mx)

Lesson Plans/Print Activities:

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

Good Problems: p. 167 #25 p. 166 #15-16, 20

Honors Grade 7: Math Connects Course 3 (green book) The text does not adequately support this standard. Supplemental resources from should be used.

Pre-Algebra Text (purple book)

Good Problems: p. 423 #8, 9, 10-13, 15

Web-based Resources:

This link provides several explanations for direct variation: http://www.onlinemathlearning.com/variation-algebra-2.html

This link provides several short activities pertaining to direct variation:

http://www.ck12.org/algebra/Applications-Using-Direct-Variation/

Mathematics Pacing Resource Document

Indianapolis Public Schools Curriculum and Instruction

p. 424 #22 p. 446 #39 – 41 p. 463 #11, 12

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 – Data Analysis, Statistics, and Probability Strand Standard:

7.DSP.3: Find, use, and interpret measures of center (mean and median) and measures of spread (range, interquartile range, and mean absolute deviation) for numerical data from random samples to draw comparative inferences about two populations.

Key Vocabulary: Mean – a measure of center in a set of numerical data, computed by adding the values in a list and then dividing by the number of values in the list Median – a measure of center in a set of numerical data; the value appearing at the center of a sorted list – or the mean of the two central values if the list contains an even number of values Range – the difference between the largest number and the smallest number in a data set Interquartile Range – a measure of variation in a set of numerical data; the distance between the first and third quartiles of the data set Mean Absolute Deviation – a measure of variation in a set of numerical data; computed by adding the distances between each data value and the mean, then dividing by the number of data values I can:

Find, use, and interpret measures of center from numerical data.

Find, use, and interpret measures of spread from numerical data.

Draw comparative inferences about two populations using measures of center and measures of spread.

Lesson Plans/Print Activities:

**The student texts focus primarily on finding measures of central tendency. For resources pertaining to application and pertaining to measures of spread, supplemental resources should be used.

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

Lesson 8-2 (Measures of Central Tendency and Range) Good Problems:

p. 405 – 406 #1-13

Web-based Resources:

This task provides a scenario involving drawing comparative inferences:

https://www.illustrativemathematics.org/illustrations/942

The following link provides a lesson pertaining to interquartile range. After clicking this link, scroll down for downloadable teacher and student resources. The teacher resources begin on p. 148 of the teacher pdf file. The student resources are on p. 85:

Mathematics Pacing Resource Document

Indianapolis Public Schools Curriculum and Instruction

p. 407 #20 – 24 p. 408 #30 - 32

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

Lesson 11-4 (Measures of Central Tendency and Range) Good Problems:

p. 594 #5, 16

Pre-Algebra Text (purple book)

Good Problems: p. 773 #6-9

https://www.engageny.org/resource/grade-6-mathematics-module-6

This link provides several tutorials pertaining to drawing inferences using various measures of center and spread: https://learnzillion.com/lessonsets/300-using-measures-of-center-and-variability-to-draw-informal-comparative-inferences-1

These tasks require students to make a comparative inference using mean absolute deviation: https://www.illustrativemathematics.org/illustrations/1340 https://www.illustrativemathematics.org/illustrations/1341

Mathematics Pacing Resource Document

Indianapolis Public Schools Curriculum and Instruction

7th Grade – Data Analysis, Statistics, and Probability Strand Standard:

7.DSP.4: Make observations about the degree of visual overlap of two numerical data distributions represented in line plots or box plots. Describe how data, particularly outliers, added to a data set may affect the mean and/or median. Key Vocabulary: Outlier – a value that lies “outside” (is much smaller or larger than) most of the other values in a set of data. I can:

make observations about visual overlap in line plots or in box plots.

Describe how data (including outliers) may affect the mean and/or the median.

Lesson Plans/Print Activities:

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

This text does not adequately support this standard. Supplemental resources should be used.

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

This text does not adequately support this standard. Supplemental resources should be used

Pre-Algebra Text (purple book)

This text does not adequately support this standard. Supplemental resources should be used

Web-based Resources:

This tutorial helps explain how the outlier can affect the mean of a data set: http://www.mathsisfun.com/data/outliers.html

This provides a brief explanation of an outlier’s impact on the mean and the median of a data set: http://www.regentsprep.org/regents/math/algebra/AD2/measure.htm

This task allows students to work with outliers and their impact on data sets: https://www.illustrativemathematics.org/illustrations/1875

These tasks can be used in conjunction with 7.DSP.3: https://www.illustrativemathematics.org/illustrations/1340 https://www.illustrativemathematics.org/illustrations/1341

Mathematics Pacing Resource Document

Indianapolis Public Schools Curriculum and Instruction

This provides a visual and an explanation of how outliers can affect a data set: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-probability-statistics/cc-7th-central-tendency/v/exploring-mean-and-median-module

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

Section 11-7 (Three-Dimensional Figures) Section 11-9 (Volume of Prisms) Extra Practice – p. 699 - 700 Good Problems:

p. 606 #20, 21 p. 617 #24, 25 p. 618 #26, 29, 30 p. 623 #35, 36 p. 629 #29-33, 40-45 p. 631 #20

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

Section 7-4 (Three-Dimensional Figures)

Web-based Practice:

This provides web-based examples and guidance: http://www.onlinemathlearning.com/volume-of-a-cylinder.html

This provides a tutorial. (Volume is needed for this standard and not surface area): https://www.khanacademy.org/math/basic-geo/basic-geo-volume-surface-area/basic-geo-volumes/v/cylinder-volume-and-surface-area

This provides a tutorial: https://learnzillion.com/lessons/3540-find-the-volume-of-a-cylinder

This provides specific guidance and activities pertaining to objects composed of right rectangular prisms. Click on the link at the top of the following page: http://webcache.googleusercontent.com/search?q=cache:VNDFHPRajTkJ:https://www.engageny.org/file/64066/download/math-g7-m6-topic-e-lesson-26-

Mathematics Pacing Resource Document

Indianapolis Public Schools Curriculum and Instruction

Section 7-5 (Volume of Prisms and Cylinders) Extra Practice p. 686 Good Problems:

p. 376 #17, 18, 19 p. 378 #36, 37 p. 379 #13 p. 409 #10 p. 411 #11 ISTEP + p. 12 #6

Pre-Algebra text (purple book)

Section 12-2 (Volume of Prisms) Section 12-3 (Volume of Cylinders) Good Problems:

p. 674 #20 H.O.T. problems p. 675 #28-29 p. 676 #34-35 p. 680 #21 p. 681 #27 – 30 p. 717 #16 p. 718 #19 p. 721 #6, 8 p. 724 #2, 7, 10 p. 854 #3a

teacher.pdf%3Ftoken%3DPj4Zdev6mEJOIszd6AFGuW_D5aHyCUV5WFGJRWcy04U+engageny+volume+objects+composed+of+right+rectangular+prisms&cd=3&hl=en&ct=clnk&gl=us&client=firefox-a

Mathematics Pacing Resource Document

Indianapolis Public Schools Curriculum and Instruction

7th Grade – Geometry and Measurement Strand Standard:

7.GM.7: Construct nets for right rectangular prisms and cylinders and use the nets to compute the surface area; apply this technique to solve real-world and other mathematical problems. Key Vocabulary: Surface Area – the total area of the surface of a three-dimensional object

I Can: Construct a net of a rectangular prism.

Construct a net of a cylinder.

Use a net to compute the surface area of a rectangular prism or a cylinder.

Solve real-world and other mathematical problems involving nets and surface area.

Lesson Plans/Print Activities:

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

Section 11-6 Extension (Nets and Surface Area) p. 601 #3 – 7

Section IN 12 (Nets of Cylinders and Cones) **This standard focuses only on Cylinders, although other

topics appear in this section.

Honors Grade 7: Math Connects Course 3 (green book) The text does not sufficiently cover concepts referenced in this standard. Supplemental resources should be used.

Pre-Algebra text (purple book)

Web-based Practice:

This tutorial provides guidance for using nets to find the surface area of a prism: https://www.khanacademy.org/math/basic-geo/basic-geo-volume-surface-area/basic-geo-surface-area/e/surface-area

This link provides a tutorial for constructing nets of geometric figures: http://www.onlinemathlearning.com/geometry-nets.html

This link provides a tutorial for using the net to find the surface area of a cylinder: http://www.virtualnerd.com/geometry/surface-area-volume-solid/prisms-cylinders-area/calculate-surface-area-cylinder-net

This link provides a tutorial for using the net to find the surface area of a rectangular prism:

Mathematics Pacing Resource Document

Indianapolis Public Schools Curriculum and Instruction

Section 12-5 Explore (Surface Area of Prisms)

**Note that prisms are mentioned only in this section. There is no reference to cylinders.

These lesson plans provides an opportunity for students to practice constructing nets and using them to find surface area. After clicking on the following links, click on the suggested link at the top of each given page for the pdf version of these activities: http://webcache.googleusercontent.com/search?q=cache:oneG19Y5uDUJ:https://www.engageny.org/file/60756/download/math-g7-m3-topic-c-lesson-21-student.pdf%3Ftoken%3DV9phn47Wut2-TlpY3sevdR448RiGnG8_R-NbQp5SwiA+engageny+nets+surface+area&cd=5&hl=en&ct=clnk&gl=us&client=firefox-a (Teacher Guide): http://webcache.googleusercontent.com/search?q=cache:NlF4pb8d31wJ:https://www.engageny.org/file/60786/download/math-g7-m3-topic-c-lesson-22-teacher.pdf%3Ftoken%3D51_upALjfUZfcq1gsAiFZdg62fCHiDw15vQHzcv9BII+engageny+teacher+net+surface+area&cd=3&hl=en&ct=clnk&gl=us&client=firefox-a (More student work): http://webcache.googleusercontent.com/search?q=cache:ZpJN0b4k7YwJ:https://www.engageny.org/file/60791/download/math-g7-m3-topic-c-lesson-22-student.docx%3Ftoken%3DsTa26yvJU8GgJNUgZ4PvU0UmnxLhasHGXL2ay1jrRms+engageny+net+surface+area+lesson+22&cd=1&hl=en&ct=clnk&gl=us&client=firefox-a

http://virtualnerd.com/geometry/surface-area-volume-solid/prisms-cylinders-area/calculate-surface-area-rectangular-prism-net

This provides an opportunity for students to practice applying the relationship between surface area and nets: http://cdn.kutasoftware.com/Worksheets/Geo/10-Surface%20Area%20of%20Prisms%20and%20Cylinders.pdf