grade 7 mathematics curriculum pacing guide 2018-2019 · grade 7 mathematics – curriculum pacing...
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Grade 7 Mathematics – Curriculum Pacing Guide – 2018-2019
Anderson School District Two Page 1 2018-2019
Math 7 Pacing
Quarter Unit # Topic # of Days
1 1 Add and Subtract Rational Numbers 10
2 Multiply and Divide Rational Numbers 7
3 Ratios and Rates 5
4 Proportional Relationships 10
5 Decimals and Percents 10
2 6 Expressions 8
7 Equations 10
8 Inequalities 8
9 Angles 9
10 Circles 10
3 11 2D and 3D Figures 5
12 Surface Area and Volume 10
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Grade 7 Mathematics – Curriculum Pacing Guide – 2018-2019
Anderson School District Two Page 2 2018-2019
13 Exponent Rules 5
14 Statistics 9
15 Probability 12
4 SC Ready Review
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Grade 7 Mathematics – Curriculum Pacing Guide – 2018-2019
Anderson School District Two Page 3 2018-2019
Unit 1 – Adding and Subtracting Rational Numbers (10 days)
7.NS.1 Extend prior knowledge of operations with positive rational numbers to add and to subtract all rational numbers and represent the sum or difference on a number line.
7.NS.1a Understand that the additive inverse of a number is its opposite and their sum is equal to zero.
7.NS.1b Understand that the sum of two rational numbers (p + q) represents a distance from p on the number line equal to |q| where the direction is indicated by the sign of q.
7.NS.1c Translate between the subtraction of rational numbers and addition using the additive inverse, p – q = p + (−q).
7.NS.1d Demonstrate that the distance between two rational numbers on the number line is the absolute value of their difference.
7.NS.1e Apply mathematical properties (e.g., commutative, associative, distributive, or the properties of identity and inverse elements) to add and subtract rational numbers.
Unit 1 – Adding and Subtracting Rational Numbers (10 days)
Essential Tasks/Key Concepts Learning Targets Resources (Suggested Activities)
MDC Formative Assessment
Lessons
Rational Numbers, Opposites, and Absolute Value ● Apply and extend previous understandings of
rational numbers, including opposites and absolute value as a distance from zero.
● Apply properties of operations to calculate with
numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental computation and estimation strategies.
I can identify integers and their opposites.
I can identify the absolute value of any integer.
I can follow the order of operations to solve problems.
● iReady Standards Mastery ● Modeling Addition and Subtraction
● Absolute Value "War" Card Game ● RCD Rational Numbers/The
Number System
● SC Ready Support Links ● https://goo.gl/aqhtYj ● https://goo.gl/GcP7uu ● https://goo.gl/VQoIRM
● https://goo.gl/8hQkI
FAL: Adding and Subtracting Directed
Numbers (This is listed as a 6th grade FAL but it is a 7th grade
standard) FAL: Using Positive
and Negative Numbers in Context
Adding Integers ● Apply and extend previous understandings of
addition and subtraction to add and subtract rational numbers.
● Use absolute value understanding to find p + q as the number located a distance |q| from p,
in the positive or negative direction depending on whether q is positive or negative.
I can add integers.
I can add integers using a number line. I can identify absolute
value of any integer.
● iReady Unit 1 Lesson 1: Understand Adding Positive and Negative Integers
● iReady Standards Mastery
http://www.supermathunits.com/files/hot_air_ballon_unit.pdfhttps://www.teacherspayteachers.com/Product/Absolute-Value-War-212099https://drive.google.com/open?id=0B6EgzEa76um2aUs0Y0gzTUxyVFkhttps://drive.google.com/open?id=0B6EgzEa76um2aUs0Y0gzTUxyVFkhttps://goo.gl/aqhtYjhttps://goo.gl/GcP7uuhttps://goo.gl/VQoIRMhttps://goo.gl/8hQkIhttp://map.mathshell.org/lessons.php?unit=6125&collection=8http://map.mathshell.org/lessons.php?unit=6125&collection=8http://map.mathshell.org/lessons.php?unit=6125&collection=8http://map.mathshell.org/lessons.php?unit=7105&collection=8http://map.mathshell.org/lessons.php?unit=7105&collection=8http://map.mathshell.org/lessons.php?unit=7105&collection=8https://teacher-toolbox.com/toolbox/M.7/classroom-resources~lessonID=NN.M.7.1.1~.htmlhttps://teacher-toolbox.com/toolbox/M.7/classroom-resources~lessonID=NN.M.7.1.1~.htmlhttps://teacher-toolbox.com/toolbox/M.7/classroom-resources~lessonID=NN.M.7.1.1~.html
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Grade 7 Mathematics – Curriculum Pacing Guide – 2018-2019
Anderson School District Two Page 4 2018-2019
Adding Rational Numbers ● Use absolute value understanding to find p + q
as the number located a distance |q| from p,
in the positive or negative direction depending on whether q is positive or negative.
● Interpret sums of rational numbers by describing real-world contexts.
I can add rational numbers using a number
line. I can identify absolute value of any rational
number. I can interpret sums of
numbers with real-world examples.
● iReady Unit 1 Lesson 7: Add and
Subtract Rational Numbers ● iReady Standards Mastery
Subtracting Integers ● Use horizontal or vertical number line diagrams
to represent addition and subtraction. ● Solve subtraction problems involving rational
numbers by adding the additive inverse, p - q = p + (-q).
I can use a number line to subtract integers.
I can identify additive inverse.
● iReady Unit 1 Lesson 2: Understand Subtraction of Positive and Negative Integers
● iReady Standards Mastery
Subtracting Rational Numbers ● Use horizontal or vertical number line diagrams
to represent addition and subtraction. ● Solve subtraction problems involving rational
numbers by adding the additive inverse, p - q = p + (-q).
I can use a number line to subtract rational numbers.
I can identify additive inverse.
● iReady Unit 1 Lesson 7: Add and
Subtract Rational Numbers
● Free Review ● iReady Standards Mastery
Adding and Subracting Rational Numbers
● Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers.
● Use absolute value understanding to find p + q as the number located a distance |q| from p, in the positive or negative direction depending on whether q is positive or
negative. ● Use horizontal or vertical number line
diagrams to represent addition and subtraction.
I can use various
strategies to add and subtract rational numbers.
● iReady Unit 1 Lesson 3: Understand Adding and Subtracting Integers
● iReady Standards Mastery
https://teacher-toolbox.com/toolbox/M.7/classroom-resources~lessonID=NN.M.7.1.7~.htmlhttps://teacher-toolbox.com/toolbox/M.7/classroom-resources~lessonID=NN.M.7.1.7~.htmlhttps://teacher-toolbox.com/toolbox/M.7/classroom-resources~lessonID=NN.M.7.1.2~.htmlhttps://teacher-toolbox.com/toolbox/M.7/classroom-resources~lessonID=NN.M.7.1.2~.htmlhttps://teacher-toolbox.com/toolbox/M.7/classroom-resources~lessonID=NN.M.7.1.2~.htmlhttps://teacher-toolbox.com/toolbox/M.7/classroom-resources~lessonID=NN.M.7.1.7~.htmlhttps://teacher-toolbox.com/toolbox/M.7/classroom-resources~lessonID=NN.M.7.1.7~.htmlhttps://www.teacherspayteachers.com/Product/AddSubtract-Positive-and-Negative-Rational-Numbers-Review-339873https://teacher-toolbox.com/toolbox/M.7/classroom-resources~lessonID=NN.M.7.1.3~.htmlhttps://teacher-toolbox.com/toolbox/M.7/classroom-resources~lessonID=NN.M.7.1.3~.htmlhttps://teacher-toolbox.com/toolbox/M.7/classroom-resources~lessonID=NN.M.7.1.3~.html
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Grade 7 Mathematics – Curriculum Pacing Guide – 2018-2019
Anderson School District Two Page 5 2018-2019
● Solve subtraction problems involving rational numbers by adding the additive
inverse, p - q = p + (-q).
Unit Review and Test iReady Unit 1: the Number System Resources
https://teacher-toolbox.com/toolbox/M.7/classroom-resources~lessonID=NN.M.7.1_closer~.html
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Grade 7 Mathematics – Curriculum Pacing Guide – 2018-2019
Anderson School District Two Page 6 2018-2019
Unit 2 – Multiplying and Dividing Rational Numbers (7 days)
7.NS.2 Extend prior knowledge of operations with positive rational numbers to multiply and to divide all rational numbers.
7.NS.2a Understand that the multiplicative inverse of a number is its reciprocal and their product is equal to one. 7.NS.2b Understand sign rules for multiplying rational numbers. 7.NS.2c Understand sign rules for dividing rational numbers and that a quotient of integers (with a non-zero divisor) is a rational
number. 7.NS.2d Apply mathematical properties (e.g., commutative, associative, distributive, or the properties of identity and inverse elements) to multiply and divide rational numbers. 7.NS.3 Apply the concepts of all four operations with rational numbers to solve real-world and mathematical problems.
7.EEI.3 Extend previous understanding of Order of Operations to solve multi-step real-world and mathematical problems involving rational numbers. Include fraction bars as a grouping symbol.
Unit 2 – Multiplying and Dividing Rational Numbers (7 days)
Essential Tasks/Key Concepts
Learning Targets Resources (Suggested Activities)
MDC Formative Assessment Lessons
Multiplying and Divide Integers ● Understand that multiplication
is extended from fractions to
rational numbers by requiring that operations continue to satisfy the properties of operations, particularly the
distributive property, leading to products such as (-1)(-1) = 1 and the rules for multiplying
signed numbers. ● Understand that integers can
be divided, provided that the divisor is not zero, and every
quotient of integers (with non-zero divisor) is a rational number.
● Apply properties of operations as strategies to multiply and divide rational numbers.
I can multiply and divide integers. I can demonstrate integer rules.
● iReady Unit 1 Lesson 4: Multiply and Divide Integers
● Scavenger Hunt ● NCTM Illuminations ● iReady Standards Mastery
https://teacher-toolbox.com/toolbox/M.7/classroom-resources~lessonID=NN.M.7.1.4~.htmlhttps://teacher-toolbox.com/toolbox/M.7/classroom-resources~lessonID=NN.M.7.1.4~.htmlhttps://www.teacherspayteachers.com/Product/Multiplying-Integers-Scavenger-Hunt-1033200https://goo.gl/zYHcQb
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Grade 7 Mathematics – Curriculum Pacing Guide – 2018-2019
Anderson School District Two Page 7 2018-2019
Multiplying Rational Numbers ● Understand that multiplication
is extended from fractions to rational numbers by requiring that operations continue to satisfy the properties of
operations, particularly the distributive property, leading to products such as (-1)(-1) =
1 and the rules for multiplying signed numbers.
● Interpret products of rational numbers by describing real-
world contexts.
I can multiply integers.
I can identify the sign of products and quotients. I can complete real-world
problems using strategies.
● iReady Unit 1 Lesson 6:
Multiply and Divide Rational Numbers
● iReady Standards Mastery
Dividing Rational Numbers
● Interpret quotients of rational numbers by describing real-world contexts.
I can interpret quotients of rational numbers.
● iReady Unit 1 Lesson 6:
Multiply and Divide Rational Numbers
● iReady Standards Mastery
Operations With Rational Numbers ● Apply properties of operations
as strategies to multiply and divide rational numbers.
● Solve real-world and mathematical problems
involving the four operations with rational numbers.
I can multiply and divide rational numbers.
I can solve real-world and mathematical problems involving operations with rational numbers.
● iReady Unit 1 Lesson 8: Solve Problems with Rational Numbers
● iReady Standards Mastery
Unit Review and Test iReady Unit 1: the Number System Resources
https://teacher-toolbox.com/toolbox/M.7/classroom-resources~lessonID=NN.M.7.1.6~.htmlhttps://teacher-toolbox.com/toolbox/M.7/classroom-resources~lessonID=NN.M.7.1.6~.htmlhttps://teacher-toolbox.com/toolbox/M.7/classroom-resources~lessonID=NN.M.7.1.6~.htmlhttps://teacher-toolbox.com/toolbox/M.7/classroom-resources~lessonID=NN.M.7.1.6~.htmlhttps://teacher-toolbox.com/toolbox/M.7/classroom-resources~lessonID=NN.M.7.1.6~.htmlhttps://teacher-toolbox.com/toolbox/M.7/classroom-resources~lessonID=NN.M.7.1.6~.htmlhttps://teacher-toolbox.com/toolbox/M.7/classroom-resources~lessonID=NN.M.7.1.8~.htmlhttps://teacher-toolbox.com/toolbox/M.7/classroom-resources~lessonID=NN.M.7.1.8~.htmlhttps://teacher-toolbox.com/toolbox/M.7/classroom-resources~lessonID=NN.M.7.1.8~.htmlhttps://teacher-toolbox.com/toolbox/M.7/classroom-resources~lessonID=NN.M.7.1_closer~.html
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Grade 7 Mathematics – Curriculum Pacing Guide – 2018-2019
Anderson School District Two Page 8 2018-2019
Unit 3 – Ratios and Rates (5 days)
7.RP.1 Compute unit rates, including those involving complex fractions, with like or different units.
Unit 3 – Ratios and Rates (5 days)
Essential Tasks/Key Concepts
Learning Targets Resources (Suggested Activities)
MDC Formative Assessment Lessons
Ratios and Unit Rates
● Extend previous understandings of equivalent ratios.
● Compute unit rates, including those involving complex fractions, with like or different units.
I can identify equivalent ratios. I can compute unit rates.
● iReady Unit 2 Lesson 9:
Ratios involving Complex Fractions
● Smart Shopper Activity ● Ratios with Fractions Slides
● RCD Ratios & Proportions ● iReady Standards Mastery
Unit Rates With Fractions ● Compute unit
rates, including those
involving complex fractions, with like or different units.
● Realize a
complex fraction indicates a fraction within a fraction (e.g., 1/2 / 1/4 )
I can identify equivalent ratios. I can compute unit rates.
I can compute ratios and unit rates that involve complex fractions.
● iReady Unit 2 Lesson 9:
Ratios involving Complex Fractions
● www.learnzillion.com/lessons/867-find-unit-rates-in-situations-involving-fractions
● Unit Rates Slides ● Unit Rates with Fractions
Slides
● iReady Standards Mastery
Unit Review and Test
https://teacher-toolbox.com/toolbox/M.7/classroom-resources~lessonID=NN.M.7.2.9~.htmlhttps://teacher-toolbox.com/toolbox/M.7/classroom-resources~lessonID=NN.M.7.2.9~.htmlhttps://teacher-toolbox.com/toolbox/M.7/classroom-resources~lessonID=NN.M.7.2.9~.htmlhttp://betterlesson.com/lesson/444289/introduction-to-unit-rates-learn-to-be-a-smart-shopperhttps://docs.google.com/presentation/d/1sD8O82UQbTUSA43mL_zYuSVdqQ0kCQmSoZLbODXRViM/copyhttps://drive.google.com/open?id=0B6EgzEa76um2eGwtX0tGSkFNVXMhttps://teacher-toolbox.com/toolbox/M.7/classroom-resources~lessonID=NN.M.7.2.9~.htmlhttps://teacher-toolbox.com/toolbox/M.7/classroom-resources~lessonID=NN.M.7.2.9~.htmlhttps://teacher-toolbox.com/toolbox/M.7/classroom-resources~lessonID=NN.M.7.2.9~.htmlhttp://www.learnzillion.com/lessons/867-find-unit-rates-in-situations-involving-fractionshttp://www.learnzillion.com/lessons/867-find-unit-rates-in-situations-involving-fractionshttp://www.learnzillion.com/lessons/867-find-unit-rates-in-situations-involving-fractionshttp://www.learnzillion.com/lessons/867-find-unit-rates-in-situations-involving-fractionshttps://docs.google.com/presentation/d/1HZdbK7JjiyGOWHxdkTwArsMDD6JmSrvD_fJg23NkiZc/copyhttps://docs.google.com/presentation/d/1iDBUzAD_PJBfoT4eDzVh3FAcq2vTgUvMu8v85-n9mtk/copyhttps://docs.google.com/presentation/d/1iDBUzAD_PJBfoT4eDzVh3FAcq2vTgUvMu8v85-n9mtk/copy
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Grade 7 Mathematics – Curriculum Pacing Guide – 2018-2019
Anderson School District Two Page 9 2018-2019
Unit 4 – Proportional Relationships (10 days)
7.RP.2 Identify and model proportional relationships given multiple representations, including tables, graphs, equations, diagrams,
verbal descriptions, and real-world situations. 7.RP.2a Determine when two quantities are in a proportional relationship. 7.RP.2b Recognize or compute the constant of proportionality.
7.RP.2c Understand that the constant of proportionality is the unit rate. 7.RP.2d Use equations to model proportional relationships. 7.RP.2e Investigate the graph of a proportional relationship and explain the meaning of specific points (e.g., origin, unit rate) in the context of the situation.
7.GM.1 Determine the scale factor and translate between scale models and actual measurements (e.g., lengths, area) of real-world objects and geometric figures using proportional reasoning.
Unit 4 – Proportional Relationships (10 days)
Essential Tasks/Key Concepts
Learning Targets Resources (Suggested Activities)
MDC Formative Assessment Lessons
Proportional Relationships and Tables
● Decide whether two quantities are in a proportional relationship by testing for equivalent ratios in
a table. ● Recognize and
represent proportional
relationships between quantities.
I can use a table to determine proportionality.
● iReady Unit 2 Lesson 10: Understand Proportional
Relationships ● www.learnzillion.com/lessons/
1865-analyze-a-table-to-determine-find-proportional-
relationships ● Proportional Relationships
with Tables Slides
● RCD Ratios & Proportions ● iReady Standards Mastery
● FAL: Comparing Strategies for Proportion Problems
● FAL: Classifying
Proportion and Non-Proportion Problems
● FAL: Drawing to Scale: A
Garden
Proportional Relationships and Graphs
● Decide whether two quantities are in a proportional relationship by
graphing on a coordinate plane and observing whether the graph is a straight line
I can use a graph to determine proportionality.
I can determine proportionality by looking at a coordinate plane and
analyzing line and slope. I can identify the origin on a
● iReady Unit 2 Lesson 10: Understand Proportional
Relationships ● www.learnzillion.com/lessons/
874-identify-the-constant-of-
proportionality-in-graphs ● Proportional Relationships
with Graphs Slides
https://teacher-toolbox.com/toolbox/M.7/classroom-resources~lessonID=NN.M.7.2.10~.htmlhttps://teacher-toolbox.com/toolbox/M.7/classroom-resources~lessonID=NN.M.7.2.10~.htmlhttps://teacher-toolbox.com/toolbox/M.7/classroom-resources~lessonID=NN.M.7.2.10~.htmlhttp://www.learnzillion.com/lessons/1865-analyze-a-table-to-determine-find-proportional-relationshipshttp://www.learnzillion.com/lessons/1865-analyze-a-table-to-determine-find-proportional-relationshipshttp://www.learnzillion.com/lessons/1865-analyze-a-table-to-determine-find-proportional-relationshipshttp://www.learnzillion.com/lessons/1865-analyze-a-table-to-determine-find-proportional-relationshipshttps://docs.google.com/presentation/d/1WaH8H2n46ZTSWe5Cvd43hg3W0aJe8Rs9_89dqntgCuY/copyhttps://docs.google.com/presentation/d/1WaH8H2n46ZTSWe5Cvd43hg3W0aJe8Rs9_89dqntgCuY/copyhttps://drive.google.com/open?id=0B6EgzEa76um2eGwtX0tGSkFNVXMhttp://map.mathshell.org/lessons.php?unit=7210&collection=8http://map.mathshell.org/lessons.php?unit=7210&collection=8http://map.mathshell.org/lessons.php?unit=7210&collection=8http://map.mathshell.org/lessons.php?unit=7215&collection=8http://map.mathshell.org/lessons.php?unit=7215&collection=8http://map.mathshell.org/lessons.php?unit=7215&collection=8http://map.mathshell.org/lessons.php?unit=7310&collection=8http://map.mathshell.org/lessons.php?unit=7310&collection=8https://teacher-toolbox.com/toolbox/M.7/classroom-resources~lessonID=NN.M.7.2.10~.htmlhttps://teacher-toolbox.com/toolbox/M.7/classroom-resources~lessonID=NN.M.7.2.10~.htmlhttps://teacher-toolbox.com/toolbox/M.7/classroom-resources~lessonID=NN.M.7.2.10~.htmlhttp://www.learnzillion.com/lessons/874-identify-the-constant-of-proportionality-in-graphshttp://www.learnzillion.com/lessons/874-identify-the-constant-of-proportionality-in-graphshttp://www.learnzillion.com/lessons/874-identify-the-constant-of-proportionality-in-graphshttps://docs.google.com/presentation/d/19ejFtzs5_b6-IcDLNPkQEdQ6C8gDSt8IOa57xmymK1U/copyhttps://docs.google.com/presentation/d/19ejFtzs5_b6-IcDLNPkQEdQ6C8gDSt8IOa57xmymK1U/copy
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Grade 7 Mathematics – Curriculum Pacing Guide – 2018-2019
Anderson School District Two Page 10 2018-2019
through the origin. ● Explain what a
point (x, y) on the graph of a proportional relationship means in terms of the situation, with special
attention to the points (0, 0) and (1, r) where r is the unit rate.
coordinate plane.
● iReady Standards Mastery
Constant of Proportionality ● Identify the
constant of proportionality (unit rate) in tables, graphs,
equations, diagrams and verbal descriptions of proportional relationships.
● Explain what a point (x, y) on the graph of a proportional relationship means in terms of the
situation, with special attention to the points (0, 0) and (1, r) where r is the unit
rate.
I can identify the constant of proportionality. I can identify the constant of
proportionality as unit rate in tables, graphs, equations, diagrams, and verbal descriptions.
● iReady Unit 2 Lesson 10: Understand Proportional Relationships
● Constant of Proportionality Slides
● iReady Standards Mastery
Proportional Relationships and Equations
● Identify the
constant of proportionality (unit rate) in tables, graphs, equations, diagrams and verbal descriptions of
proportional relationships. ● Represent
proportional relationships by
equations.
I can identify the constant of proportionality from an equation.
I can represent proportional relationships by equations.
● iReady Unit 2 Lesson 11: Equations for Proportional
Relationships ● iReady Standards Mastery ● http://learnzillion.com/lessons
/877-identify-the-constant-of-
proportionality-by-writing-an-equation-in-the-form-ymx
● Proportional Relationships and Equations Slides
https://teacher-toolbox.com/toolbox/M.7/classroom-resources~lessonID=NN.M.7.2.10~.htmlhttps://teacher-toolbox.com/toolbox/M.7/classroom-resources~lessonID=NN.M.7.2.10~.htmlhttps://teacher-toolbox.com/toolbox/M.7/classroom-resources~lessonID=NN.M.7.2.10~.htmlhttps://docs.google.com/presentation/d/1NP_ngIpKafETxgK3YuOD6ZJ-f50BLy-RiPoy9zVDCbQ/copyhttps://docs.google.com/presentation/d/1NP_ngIpKafETxgK3YuOD6ZJ-f50BLy-RiPoy9zVDCbQ/copyhttps://teacher-toolbox.com/toolbox/M.7/classroom-resources~lessonID=NN.M.7.2.11~.htmlhttps://teacher-toolbox.com/toolbox/M.7/classroom-resources~lessonID=NN.M.7.2.11~.htmlhttps://teacher-toolbox.com/toolbox/M.7/classroom-resources~lessonID=NN.M.7.2.11~.htmlhttp://learnzillion.com/lessons/877-identify-the-constant-of-proportionality-by-writing-an-equation-in-the-form-ymxhttp://learnzillion.com/lessons/877-identify-the-constant-of-proportionality-by-writing-an-equation-in-the-form-ymxhttp://learnzillion.com/lessons/877-identify-the-constant-of-proportionality-by-writing-an-equation-in-the-form-ymxhttp://learnzillion.com/lessons/877-identify-the-constant-of-proportionality-by-writing-an-equation-in-the-form-ymxhttps://docs.google.com/presentation/d/1IfTlzxzj6Er4WmDYZVUWJPIx48d-Xn5Q7poBFuxTO3E/copyhttps://docs.google.com/presentation/d/1IfTlzxzj6Er4WmDYZVUWJPIx48d-Xn5Q7poBFuxTO3E/copy
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Grade 7 Mathematics – Curriculum Pacing Guide – 2018-2019
Anderson School District Two Page 11 2018-2019
Maps and Scale Drawings ● Solve problems
involving scale drawings of geometric figures.
I can solve problems using scale drawings.
I can determine scale. I can solve problems using
geometric figures.
● iReady Unit 4 Lesson 22:
Scale Drawings ● iReady Standards Mastery ● http://learnzillion.com/lessons
/646-using-unit-rates-to-
interpret-ccale-maps-and-scale-models
● Maps and Scale Drawings
Slides ● NCTM Illuminations
Unit Review and Test iReady Unit 2 Lesson 12: Problem Solving with Proportional Relationships
Review Game
https://teacher-toolbox.com/toolbox/M.7/classroom-resources~lessonID=NN.M.7.4.22~.htmlhttps://teacher-toolbox.com/toolbox/M.7/classroom-resources~lessonID=NN.M.7.4.22~.htmlhttp://learnzillion.com/lessons/646-using-unit-rates-to-interpret-ccale-maps-and-scale-modelshttp://learnzillion.com/lessons/646-using-unit-rates-to-interpret-ccale-maps-and-scale-modelshttp://learnzillion.com/lessons/646-using-unit-rates-to-interpret-ccale-maps-and-scale-modelshttp://learnzillion.com/lessons/646-using-unit-rates-to-interpret-ccale-maps-and-scale-modelshttps://docs.google.com/presentation/d/166N2URIqmpUXs66CyZjlKUpUU9UetTr5TeoKLlAQKHE/copyhttps://docs.google.com/presentation/d/166N2URIqmpUXs66CyZjlKUpUU9UetTr5TeoKLlAQKHE/copyhttps://goo.gl/wMLIjRhttps://teacher-toolbox.com/toolbox/M.7/classroom-resources~lessonID=NN.M.7.2.12~.htmlhttp://betterlesson.com/lesson/500297/proportional-reasoning-review-remember-hollywood-squares
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Grade 7 Mathematics – Curriculum Pacing Guide – 2018-2019
Anderson School District Two Page 12 2018-2019
Unit 5 – Decimals and Percents (10 days)
7.NS.2c Understand sign rules for dividing rational numbers and that a quotient of integers (with a non-zero divisor) is a rational number. 7.NS.2e Understand that some rational numbers can be written as integers and all rational numbers can be written as fractions or decimal
numbers that terminate or repeat.
7.NS.3 Apply the concepts of all four operations with rational numbers to solve real-world and mathematical problems. 7.NS.5 Extend prior knowledge to translate among multiple representations of rational numbers (fractions, decimal numbers, percentages).
Exclude the conversion of repeating decimal numbers to fractions. 7.RP.2 Identify and model proportional relationships given multiple representations, including tables, graphs, equations, diagrams, verbal
descriptions, and real-world situations. 7.RP.2b Recognize or compute the constant of proportionality. 7.RP.2c Understand that the constant of proportionality is the unit rate.
7.RP.3 Solve real-world and mathematical problems involving ratios and percentages using proportional reasoning (e.g., multi-step dimensional analysis, percent increase/decrease, tax).
Unit 5 – Decimals and Percents (10 days)
Essential Tasks/Key Concepts
Learning Targets Resources (Suggested Activities)
MDC Formative Assessment Lessons
Repeating Decimals & Terminating Decimals ● Understand that integers can
be divided, provided that the divisor is not zero, and every quotient of integers (with non-
zero divisor) is a rational number.
● Convert a rational number to a decimal using long division.
● Convert a rational number to a decimal using long division.
● Recognize that the decimal
form of a rational number terminates in 0s or eventually repeats.
I can convert a rational number to a decimal.
I can solve problems using long division.
I can identify terminating decimals. I can identify repeating decimals.
● iReady Unit 1 Lesson 5: Repeating and Terminating Decimals
● iReady Standards Mastery
FAL: Increasing and Decreasing Quantities by a Percent
https://teacher-toolbox.com/toolbox/M.7/classroom-resources~lessonID=NN.M.7.1.5~.htmlhttps://teacher-toolbox.com/toolbox/M.7/classroom-resources~lessonID=NN.M.7.1.5~.htmlhttps://teacher-toolbox.com/toolbox/M.7/classroom-resources~lessonID=NN.M.7.1.5~.htmlhttp://map.mathshell.org/lessons.php?unit=7100&collection=8http://map.mathshell.org/lessons.php?unit=7100&collection=8
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Grade 7 Mathematics – Curriculum Pacing Guide – 2018-2019
Anderson School District Two Page 13 2018-2019
The Percent Proportion Identify the constant of
proportionality (unit rate) in tables, graphs, equations, diagrams and verbal descriptions of proportional relationships.
Represent proportional relationships by equations.
I can solve real-world and mathematical problems involving
ratios and percentages using proportional reasoning. ● iReady Unit 2 Lesson 13:
Proportional Relationships ● iReady Standards Mastery
Simple Interest ● Recognize and represent
proportional relationships between quantities.
● Use proportional relationships to solve multistep ratio and
percent problem involving simple interest.
I can use proportional relationships to solve multi-step problems.
I can solve percent problems. I can determine simple interest.
● iReady Unit 2 Lesson 12: Problem Solving with Proportional Relationships
● iReady Standards Mastery
● http://www.aaamath.com/mny84x10.htm
Percent Increase and Decrease ● Recognize and represent
proportional relationships between quantities.
● Use proportional relationships to solve multistep ratio and percent problems involving percent increase and
decrease.
I can solve multistep ratio problems.
I can determine percent of increase.
I can determine percent of decrease.
● iReady Unit 2 Lesson 12:
Problem Solving with Proportional Relationships
● iReady Standards Mastery
Markups and Markdowns ● Use proportional relationships
to solve multistep ratio and
percent problems involving markups and markdowns.
I can solve percent problems involving markups.
I can solve percent problems involving markdowns.
● iReady Standards Mastery ● iReady Unit 2 Lesson 12:
Problem Solving with Proportional Relationships
● http://www.aaamath.com/pct
68_x4.htm
Unit Review and Test
https://teacher-toolbox.com/toolbox/M.7/classroom-resources~lessonID=NN.M.7.2.13~.htmlhttps://teacher-toolbox.com/toolbox/M.7/classroom-resources~lessonID=NN.M.7.2.13~.htmlhttps://teacher-toolbox.com/toolbox/M.7/classroom-resources~lessonID=NN.M.7.2.12~.htmlhttps://teacher-toolbox.com/toolbox/M.7/classroom-resources~lessonID=NN.M.7.2.12~.htmlhttps://teacher-toolbox.com/toolbox/M.7/classroom-resources~lessonID=NN.M.7.2.12~.htmlhttp://www.aaamath.com/mny84x10.htmhttp://www.aaamath.com/mny84x10.htmhttps://teacher-toolbox.com/toolbox/M.7/classroom-resources~lessonID=NN.M.7.2.12~.htmlhttps://teacher-toolbox.com/toolbox/M.7/classroom-resources~lessonID=NN.M.7.2.12~.htmlhttps://teacher-toolbox.com/toolbox/M.7/classroom-resources~lessonID=NN.M.7.2.12~.htmlhttps://teacher-toolbox.com/toolbox/M.7/classroom-resources~lessonID=NN.M.7.2.12~.htmlhttps://teacher-toolbox.com/toolbox/M.7/classroom-resources~lessonID=NN.M.7.2.12~.htmlhttps://teacher-toolbox.com/toolbox/M.7/classroom-resources~lessonID=NN.M.7.2.12~.htmlhttp://www.aaamath.com/pct68_x4.htmhttp://www.aaamath.com/pct68_x4.htm
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Grade 7 Mathematics – Curriculum Pacing Guide – 2018-2019
Anderson School District Two Page 14 2018-2019
END OF FIRST NINE WEEKS
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Grade 7 Mathematics – Curriculum Pacing Guide – 2018-2019
Anderson School District Two Page 15 2018-2019
Unit 6 – Equivalent Expressions (8 days) 7.EEI.1 Apply mathematical properties (e.g., commutative, associative, distributive) to simplify and to factor linear algebraic expressions with
rational coefficients. 7.EEI.2 Recognize that algebraic expressions may have a variety of equivalent forms and determine an appropriate form for a given real-world
situation.
7.EEI.5 Understand and apply the laws of exponents (i.e., product rule, quotient rule, power to a power, product to a power, quotient to a power, zero powder property) to simplify numerical expressions that include whole-number exponents.
Unit 6 – Equivalent Expressions (8 days)
Essential Tasks/Key
Concepts Learning Targets
Resources (Suggested
Activities)
MDC Formative
Assessment Lessons
Expanding Algebraic Expressions ● Apply properties of operations
as strategies to add, subtract,
factor, and expand linear expressions with rational coefficients.
● Understand that rewriting an expression in different forms in a problem context can shed light on the problem and how
the quantities in it are related.
I can apply properties of operations to expand linear expressions with rational coefficients.
● iReady Unit 3 Lesson 14: Equivalent Expressions
● iReady Standards Mastery ● Card Task
● RCD Expressions and Equations
● SC Ready Support Links:
https://goo.gl/MakFtY https://goo.gl/1r5EeR https://goo.gl/9CeSt8 https://goo.gl/6Qxv7
https://goo.gl/0T0RE7
Factoring Algebraic Expressions
● Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational
coefficients. ● Understand that rewriting an
expression in different forms
in a problem context can shed light on the problem and how the quantities in it are related.
I can apply properties of
operations to factor linear expressions with rational coefficients.
● iReady Unit 3 Lesson 14:
Equivalent Expressions ● http://betterlesson.com/lesso
n/444183/factoring-linear-
expressions-can-you-un-distribute
● http://betterlesson.com/lesson/541376/factor-algebraic-
expressions-using-the-distributive-property
https://teacher-toolbox.com/toolbox/M.7/classroom-resources~lessonID=NN.M.7.3.14~.htmlhttps://teacher-toolbox.com/toolbox/M.7/classroom-resources~lessonID=NN.M.7.3.14~.htmlhttps://www.teacherspayteachers.com/Product/Simplifying-Algebraic-Expressions-Task-Card-Activity-SCOOT-950782https://drive.google.com/open?id=0B6EgzEa76um2bU9hUkUzSEJRYWMhttps://drive.google.com/open?id=0B6EgzEa76um2bU9hUkUzSEJRYWMhttps://goo.gl/MakFtYhttps://goo.gl/1r5EeRhttps://goo.gl/9CeSt8https://goo.gl/6Qxv7https://goo.gl/0T0RE7https://teacher-toolbox.com/toolbox/M.7/classroom-resources~lessonID=NN.M.7.3.14~.htmlhttps://teacher-toolbox.com/toolbox/M.7/classroom-resources~lessonID=NN.M.7.3.14~.htmlhttp://betterlesson.com/lesson/444183/factoring-linear-expressions-can-you-un-distributehttp://betterlesson.com/lesson/444183/factoring-linear-expressions-can-you-un-distributehttp://betterlesson.com/lesson/444183/factoring-linear-expressions-can-you-un-distributehttp://betterlesson.com/lesson/444183/factoring-linear-expressions-can-you-un-distributehttp://betterlesson.com/lesson/541376/factor-algebraic-expressions-using-the-distributive-propertyhttp://betterlesson.com/lesson/541376/factor-algebraic-expressions-using-the-distributive-propertyhttp://betterlesson.com/lesson/541376/factor-algebraic-expressions-using-the-distributive-propertyhttp://betterlesson.com/lesson/541376/factor-algebraic-expressions-using-the-distributive-property
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Grade 7 Mathematics – Curriculum Pacing Guide – 2018-2019
Anderson School District Two Page 16 2018-2019
Adding Algebraic Expressions ● Apply properties of operations
as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.
● Understand that rewriting an expression in different forms in a problem context can shed
light on the problem and how the quantities in it are related.
I can apply properties of operations to add linear
expressions with rational coefficients.
● iReady Unit 3 Lesson 15: Writing Linear Expressions
● iReady Standards Mastery
Subtracting Algebraic Expressions ● Apply properties of operations
as strategies to add, subtract, factor, and expand linear expressions with rational
coefficients. ● Understand that rewriting an
expression in different forms in a problem context can shed
light on the problem and how the quantities in it are related.
I can apply properties of operations to subtract linear
expressions with rational coefficients.
● iReady Unit 3 Lesson 15: Writing Linear Expressions
● iReady Standards Mastery
● http://www.free-test-online.com/ccss/grade7/grade7_expressions.html
Unit Review and Test
https://teacher-toolbox.com/toolbox/M.7/classroom-resources~lessonID=NN.M.7.3.15~.htmlhttps://teacher-toolbox.com/toolbox/M.7/classroom-resources~lessonID=NN.M.7.3.15~.htmlhttps://teacher-toolbox.com/toolbox/M.7/classroom-resources~lessonID=NN.M.7.3.15~.htmlhttps://teacher-toolbox.com/toolbox/M.7/classroom-resources~lessonID=NN.M.7.3.15~.htmlhttp://www.free-test-online.com/ccss/grade7/grade7_expressions.htmlhttp://www.free-test-online.com/ccss/grade7/grade7_expressions.htmlhttp://www.free-test-online.com/ccss/grade7/grade7_expressions.html
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Grade 7 Mathematics – Curriculum Pacing Guide – 2018-2019
Anderson School District Two Page 17 2018-2019
Unit 7 - Equations (10 days) 7.NS.4b Use concepts of equality and inequality to write and explain real-world and mathematical situations.
7.EEI.1 Apply mathematical properties (e.g., commutative, associative, distributive) to simplify and to factor linear algebraic expressions with rational coefficients.
7.EEI.2 Recognize that algebraic expressions may have a variety of equivalent forms and determine an appropriate form for a given real-world
situation. 7.EEI.4 Apply the concepts of linear equations and inequalities in one variable to real-world and mathematical situations.
7.EEI.4a Write and fluently solve linear equations of the for ax + b = c and a(x + b) = c where a, b, and c are rational numbers. 7.EEI.4b Write and solve multi-step linear equations that include the use of the distributive property and combining like terms. Exclude
equations that contain variables on both sides.
Unit 7 - Equations (10 days)
Essential Tasks/Key Concepts
Learning Targets Resources (Suggested Activities)
MDC Formative Assessment Lessons
Writing Two-Step Equations
● Use concepts of equality and inequality to write and explain real-world and mathematical situations.
● Apply the concepts of linear equations and inequalities in one variable to real-world and
mathematical situations.
I can write and fluently solve two-step equations.
● iReady Unit 3 Lesson 16: Solving Problems with Equations
● iReady Standards Mastery
● Simple Equations Review Slides
● RCD Expressions and
Equations ● SC Ready Support Links:
https://goo.gl/MakFtY https://goo.gl/1r5EeR
https://goo.gl/9CeSt8 https://goo.gl/6Qxv7 https://goo.gl/0T0RE7
● FAL: Solving Linear
Equations
https://sites.google.com/a/fpks.org/ready-common-core/home/grade-7/lesson-16-solve-problems-with-equationshttps://sites.google.com/a/fpks.org/ready-common-core/home/grade-7/lesson-16-solve-problems-with-equationshttps://sites.google.com/a/fpks.org/ready-common-core/home/grade-7/lesson-16-solve-problems-with-equationshttps://docs.google.com/presentation/d/1K8SEQYEzVNnDeWfS6C2V5bZQdRfhhlDEmyr5Lcc56Ps/copyhttps://docs.google.com/presentation/d/1K8SEQYEzVNnDeWfS6C2V5bZQdRfhhlDEmyr5Lcc56Ps/copyhttps://drive.google.com/open?id=0B6EgzEa76um2bU9hUkUzSEJRYWMhttps://drive.google.com/open?id=0B6EgzEa76um2bU9hUkUzSEJRYWMhttps://goo.gl/MakFtYhttps://goo.gl/1r5EeRhttps://goo.gl/9CeSt8https://goo.gl/6Qxv7https://goo.gl/0T0RE7http://map.mathshell.org/lessons.php?unit=7220&collection=8http://map.mathshell.org/lessons.php?unit=7220&collection=8
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Grade 7 Mathematics – Curriculum Pacing Guide – 2018-2019
Anderson School District Two Page 18 2018-2019
Solving Two-Step Equations ● Solve multi-step real-life and
mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions,
and decimals), using tools strategically.
● Solve word problems leading
to equations of the form px + q = r, where p, q, and r are specific rational numbers. Solve equations of this form
fluently.
I can solve two-step equations that include positive and negative
numbers. I can solve two-step equations that include whole numbers.
I can solve two-step equations that include fractions.
I can solve two-step equations that include decimals.
● iReady Unit 3 Lesson 16: Solving Problems with
Equations ● iReady Standards Mastery ● Two Step Equations Slides
Solving Equations Using the Distributive Property
● Write and fluently solve linear equations of the form ax + b=c and a(x + b) = c, where a, b, and c are rational
numbers. ● Write and solve multi-step
linear equations that include
the use of the distributive property and combining like terms. Exclude equations that contain variables on both
sides.
I can write and solve multi-step equations that involve the distributive property.
● iReady Unit 3 Lesson 16: Solving Problems with
Equations ● iReady Standards Mastery ● Slides for Solving Equations
Using the Distributive
Property
Solving Equations-- Combining Like Terms ● Write and solve multi-step
linear equations that include the use of the distributive property and combining like
terms. Exclude equations that contain variables on both sides.
I can write and solve multi-step equations that involve combining like terms.
● iReady Unit 3 Lesson 16:
Solving Problems with Equations
● iReady Standards Mastery
● Practice
https://sites.google.com/a/fpks.org/ready-common-core/home/grade-7/lesson-16-solve-problems-with-equationshttps://sites.google.com/a/fpks.org/ready-common-core/home/grade-7/lesson-16-solve-problems-with-equationshttps://sites.google.com/a/fpks.org/ready-common-core/home/grade-7/lesson-16-solve-problems-with-equationshttps://docs.google.com/presentation/d/1NwqHSwT83qIehDx_4-bM3nNP7VwLIafAHsMIF_NZMDA/copyhttps://sites.google.com/a/fpks.org/ready-common-core/home/grade-7/lesson-16-solve-problems-with-equationshttps://sites.google.com/a/fpks.org/ready-common-core/home/grade-7/lesson-16-solve-problems-with-equationshttps://sites.google.com/a/fpks.org/ready-common-core/home/grade-7/lesson-16-solve-problems-with-equationshttps://docs.google.com/presentation/d/1ry2o8J8HPZgnfNe_dcrCj40Lpk4_CPqg-O4_zdsvXDo/copyhttps://docs.google.com/presentation/d/1ry2o8J8HPZgnfNe_dcrCj40Lpk4_CPqg-O4_zdsvXDo/copyhttps://docs.google.com/presentation/d/1ry2o8J8HPZgnfNe_dcrCj40Lpk4_CPqg-O4_zdsvXDo/copyhttps://teacher-toolbox.com/toolbox/M.7/classroom-resources~lessonID=NN.M.7.3.16~.htmlhttps://teacher-toolbox.com/toolbox/M.7/classroom-resources~lessonID=NN.M.7.3.16~.htmlhttps://teacher-toolbox.com/toolbox/M.7/classroom-resources~lessonID=NN.M.7.3.16~.htmlhttp://www.charleston.k12.il.us/cms/Teachers/math/PreAlgebra/paunit5/L5-1.PDF
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Grade 7 Mathematics – Curriculum Pacing Guide – 2018-2019
Anderson School District Two Page 19 2018-2019
Unit Review and Test ● Review Game
● Another Review
http://betterlesson.com/lesson/435011/one-and-two-step-equations-reviewhttp://betterlesson.com/lesson/569525/applications-of-equations-review
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Grade 7 Mathematics – Curriculum Pacing Guide – 2018-2019
Anderson School District Two Page 20 2018-2019
Unit 8 - Inequalities (8 days) 7.NS.4 Understand and apply the concepts of comparing and ordering to rational numbers.
7.NS.4a Interpret statements using less than (), less than or equal to (≤), greater than or equal to (≥), and equal to (=) as
relative locations on the number line.
7.NS.4b Use concepts of equality and inequality to write and explain real-world and mathematical situations. 7.EEI.4c Write and solve two-step linear inequalities. Graph the solution set on a number line and interpret its meaning.
7.EEI.4d Identify and justify the steps for solving multi-step linear equations and two-step linear inequalities.
Unit 8 - Inequalities (8 days)
Essential Tasks/Key Concepts
Learning Targets Resources (Suggested Activities)
MDC Formative Assessment Lessons
Comparing, Ordering, and Locating Rational Numbers on a Number Line
● Understand and apply the concepts of comparing and ordering to rational numbers
● Interpret statements using
less than (), less than or equal to
(≤), greater than or equal
to (≥) and equal to (=) as
relative locations on the
number line
● Use concepts of equality and inequality to write and explain real-world and mathematical situations.
I can compare and order rational
numbers. I can write and explain equations and inequalities for for real-world
situations.
● Rational Numbers on the
Number Line Stations Lesson
● iReady Standards Mastery
http://betterlesson.com/lesson/448040/rational-numbers-on-the-number-line-stationshttp://betterlesson.com/lesson/448040/rational-numbers-on-the-number-line-stationshttp://betterlesson.com/lesson/448040/rational-numbers-on-the-number-line-stations
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Grade 7 Mathematics – Curriculum Pacing Guide – 2018-2019
Anderson School District Two Page 21 2018-2019
Writing Inequalities ● Use concepts of equality
and inequality to write and explain real-world and
mathematical situations. ● Write and solve two-step
linear inequalities. Graph
the solution set on a number line and interpret its meaning.
I can write, solve, and graph two-step inequalities.
● iReady Unit 3 Lesson 17:
Solve Problems with Inequalities
● iReady Standards Mastery ● Inequalities Slides
Solving Two-Step Inequalities
● Write and describe inequalities involving multiple operations to represent a real-world
situation. ● Use variables to represent
quantities in a real-world or mathematical problem, and
construct two-step inequalities.
● Solve word problems leading
to two-step inequalities containing rational numbers, graph and interpret the solution set.
● Solve two-step inequalities containing rational numbers.
I can solve word problems leading to two-step inequalities.
● iReady Unit 3 Lesson 17: Solve Problems with
Inequalities ● iReady Standards Mastery ● Instructional video on
solving two step
inequalities ● Instructional video on
constructing and solving
two step inequalities. ● Suggested websites to
find activities worksheets: ● http://www.math
worksheets4kids.com/inequalities.html
● https://www.kuta
software.com/free.html ● http://www.math-
aids.com/Algebra/Pre-Algebra/Inequalities/
● http://www.softschools.com/math/algebra/inequalities/
● http://www.mathworksheetsland.com/6/27eq.html
https://teacher-toolbox.com/toolbox/M.7/classroom-resources~lessonID=NN.M.7.3.17~.htmlhttps://teacher-toolbox.com/toolbox/M.7/classroom-resources~lessonID=NN.M.7.3.17~.htmlhttps://teacher-toolbox.com/toolbox/M.7/classroom-resources~lessonID=NN.M.7.3.17~.htmlhttps://docs.google.com/presentation/d/1Y_2O09v0iN0mLF3gACWlfxwmqgxd_g5ce77I22vNgI0/copyhttps://teacher-toolbox.com/toolbox/M.7/classroom-resources~lessonID=NN.M.7.3.17~.htmlhttps://teacher-toolbox.com/toolbox/M.7/classroom-resources~lessonID=NN.M.7.3.17~.htmlhttps://teacher-toolbox.com/toolbox/M.7/classroom-resources~lessonID=NN.M.7.3.17~.htmlhttps://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-variables-expressions/cc-7th-inequalities/v/solving-inequalitieshttps://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-variables-expressions/cc-7th-inequalities/v/solving-inequalitieshttps://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-variables-expressions/cc-7th-inequalities/v/solving-inequalitieshttps://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-variables-expressions/cc-7th-inequalities/v/interpreting-inequalitieshttps://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-variables-expressions/cc-7th-inequalities/v/interpreting-inequalitieshttps://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-variables-expressions/cc-7th-inequalities/v/interpreting-inequalitieshttp://www.mathworksheets4kids.com/inequalities.htmlhttp://www.mathworksheets4kids.com/inequalities.htmlhttp://www.mathworksheets4kids.com/inequalities.htmlhttps://www.kutasoftware.com/free.htmlhttps://www.kutasoftware.com/free.htmlhttp://www.math-aids.com/Algebra/Pre-Algebra/Inequalities/http://www.math-aids.com/Algebra/Pre-Algebra/Inequalities/http://www.math-aids.com/Algebra/Pre-Algebra/Inequalities/http://www.softschools.com/math/algebra/inequalities/http://www.softschools.com/math/algebra/inequalities/http://www.softschools.com/math/algebra/inequalities/http://www.mathworksheetsland.com/6/27eq.htmlhttp://www.mathworksheetsland.com/6/27eq.htmlhttp://www.mathworksheetsland.com/6/27eq.html
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Grade 7 Mathematics – Curriculum Pacing Guide – 2018-2019
Anderson School District Two Page 22 2018-2019
Solving Multi-Step Inequalities ● Compare and contrast solving
multi-step equations and inequalities.
● Solve multi-step inequalities requiring the distributive
property and containing rational numbers.
● Solve multi-step inequalities
requiring combining like terms already on the same side of the inequality and containing rational numbers.
● Solve find-the-error problems leading to two-step inequalities containing rational
numbers
I can solve multi-step inequalities by combining like terms.
● iReady Unit 3 Lesson 17: Solve Problems with Inequalities
● iReady Standards Mastery
Unit Review and Test Review Game
https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-variables-expressions/cc-7th-inequalities/v/interpreting-inequalitieshttps://teacher-toolbox.com/toolbox/M.7/classroom-resources~lessonID=NN.M.7.3.17~.htmlhttps://teacher-toolbox.com/toolbox/M.7/classroom-resources~lessonID=NN.M.7.3.17~.htmlhttps://teacher-toolbox.com/toolbox/M.7/classroom-resources~lessonID=NN.M.7.3.17~.htmlhttp://betterlesson.com/lesson/435022/inequalities-review
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Grade 7 Mathematics – Curriculum Pacing Guide – 2018-2019
Anderson School District Two Page 23 2018-2019
Unit 9 - Angles (9 days) 7.EEI.4 Apply the concepts of linear equations and inequalities in one variable to real-world and mathematical situations.
7.EEI.4a Write and fluently solve linear equations of the for ax + b = c and a(x + b) = c where a, b, and c are rational numbers. 7.EEI.4b Write and solve multi-step linear equations that include the use of the distributive property and combining like terms. Exclude
equations that contain variables on both sides. 7.GM.5 Write equations to solve problems involving the relationships between angles formed by two intersecting lines, including supplementary,
complementary, vertical, and adjacent.
Unit 9 - Angles (9 days)
Essential Tasks/Key Concepts
Learning Targets Resources (Suggested Activities)
MDC Formative Assessment Lessons
Measuring Angles ● Name parts of a geometric
figure using appropriate
letters and symbols. ● Measure parts of geometric
figures using the appropriate tools and units of measure.
● Compare angle measures without a protractor.
● Use a protractor to measure
degrees in an angle. ● Name angles based on
measure ● Construct simple equations to
solve problems about angles.
I can write equations to solve
problems involving angle relationships.
● iReady Unit 4 Lesson 18: Problem Solving with Angles
● iReady Standards Mastery ● Unit Slides ● RCD Geometry
FAL: Applying Angle Theorems
Adjacent Angles ● Use facts about adjacent
angles to solve a mathematical problem.
● Name adjacent angles in a geometric figure
● Use facts about adjacent angles to write and solve a
I can use facts about adjacent angles to write and solve equations and solve real-world problems.
● iReady Unit 4 Lesson 18: Problem Solving with Angles
● iReady Standards Mastery
https://teacher-toolbox.com/toolbox/M.7/classroom-resources~lessonID=NN.M.7.4.18~.htmlhttps://teacher-toolbox.com/toolbox/M.7/classroom-resources~lessonID=NN.M.7.4.18~.htmlhttps://docs.google.com/presentation/d/1H5HM9kYYA5UG4kbnyadN9TlWvaWNFqUq1QPwr6jUGnc/copyhttps://drive.google.com/open?id=0B6EgzEa76um2U1lCeFZuSnJOVXchttp://map.mathshell.org/lessons.php?unit=7320&collection=8https://teacher-toolbox.com/toolbox/M.7/classroom-resources~lessonID=NN.M.7.4.18~.htmlhttps://teacher-toolbox.com/toolbox/M.7/classroom-resources~lessonID=NN.M.7.4.18~.htmlhttps://teacher-toolbox.com/toolbox/M.7/classroom-resources~lessonID=NN.M.7.4.18~.html
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Grade 7 Mathematics – Curriculum Pacing Guide – 2018-2019
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simple equation.
Complementary Angles ● Use facts about
complementary angles in a multi-step problem to write and solve simple equations for an unknown angle in a figure.
● •Draw (freehand, with ruler and protractor, and with technology) geometric shapes
with given conditions ● Use facts about
complementary angles to solve a real-world problem.
● Draw (freehand or with ruler) adjacent complementary angles.
● Use facts about complementary angles to write and solve simple equations.
I can use facts about
complementary angles to write and solve equations and solve real-world problems.
● iReady Unit 4 Lesson 18:
Problem Solving with Angles ● iReady Standards Mastery
https://teacher-toolbox.com/toolbox/M.7/classroom-resources~lessonID=NN.M.7.4.18~.htmlhttps://teacher-toolbox.com/toolbox/M.7/classroom-resources~lessonID=NN.M.7.4.18~.html
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Grade 7 Mathematics – Curriculum Pacing Guide – 2018-2019
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Supplementary Angles ● Use facts about
supplementary angles in a multi-step problem to write and solve simple equations for an unknown angle in a figure.
● Draw (freehand, with ruler and protractor, and with technology) geometric shapes
with given conditions ● Use facts about
supplementary angles to solve a real-world problem.
● Draw (freehand or with ruler) adjacent supplementary angles.
● Use facts about supplementary angles to write and solve simple equations.
I can use facts about supplementary angles to write and
solve equations and solve real-world problems.
● iReady Unit 4 Lesson 18:
Problem Solving with Angles ● iReady Standards Mastery
Vertical Angles
● Name parts of a geometric figure using appropriate letters and symbols.
● •Use facts about vertical angles in a multi-step problem to write and solve simple equations for an unknown
angle in a figure. ● Use facts about vertical angles
to solve a mathematical problem.
● Name vertical angles in a geometric figure
● Use facts about vertical angles
in a multi-step problem to solve simple equations for an unknown angle in a figure.
I can use facts about vertical
angles to write and solve equations and solve real-world problems.
● iReady Unit 4 Lesson 18: Problem Solving with Angles
● iReady Standards Mastery
https://teacher-toolbox.com/toolbox/M.7/classroom-resources~lessonID=NN.M.7.4.18~.htmlhttps://teacher-toolbox.com/toolbox/M.7/classroom-resources~lessonID=NN.M.7.4.18~.htmlhttps://teacher-toolbox.com/toolbox/M.7/classroom-resources~lessonID=NN.M.7.4.18~.htmlhttps://teacher-toolbox.com/toolbox/M.7/classroom-resources~lessonID=NN.M.7.4.18~.html
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Unit Review and Test
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Grade 7 Mathematics – Curriculum Pacing Guide – 2018-2019
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Unit 10 - Circles (10 days) 7.EEI.4 Apply the concepts of linear equations and inequalities in one variable to real-world and mathematical situations.
7.EEI.4a Write and fluently solve linear equations of the for ax + b = c and a(x + b) = c where a, b, and c are rational numbers. 7.EEI.4b Write and solve multi-step linear equations that include the use of the distributive property and combining like terms. Exclude
equations that contain variables on both sides. 7.GM.4 Investigate the concept of circles.
7.GM.4a Demonstrate an understanding of the proportional relationship between diameter, radius, and circumference of a circle.
7.GM.4b Understand that the constant of proportionality between the circumference and diameter is equivalent to π. 7.GM.4c Explore the relationship between circumference and area using a visual model. 7.GM.4d Use the formulas for circumference and area of circles appropriately to solve real-world and mathematical problems.
Unit 10 - Circles (10 days)
Essential Tasks/Key Concepts
Learning Targets Resources (Suggested Activities)
MDC Formative Assessment Lessons
Center, Radius, and Diameter
● Name parts of a geometric figure using appropriate letters and symbols.
● Apply and extend previous understandings of circles.
● Apply understandings about circles
● Name radii and diameters of a circle.
● Apply understanding of the
relationship between radius and diameter.
● Construct simple equations to solve problems about radius
and diameter.
I can name parts of circles.
I can understand the relationship between radius and diameter.
● Sir Cumference and the First
Round Table by Cindy Neuschwander
● iReady Unit 4 Lesson 21:
Area and Circumference of a Circle
● iReady Standards Mastery ● Unit Slides
● RCD Geometry
● FAL: Finding Areas of Circles
https://teacher-toolbox.com/toolbox/M.7/classroom-resources~lessonID=NN.M.7.4.21~.htmlhttps://teacher-toolbox.com/toolbox/M.7/classroom-resources~lessonID=NN.M.7.4.21~.htmlhttps://teacher-toolbox.com/toolbox/M.7/classroom-resources~lessonID=NN.M.7.4.21~.htmlhttps://docs.google.com/presentation/d/1H5HM9kYYA5UG4kbnyadN9TlWvaWNFqUq1QPwr6jUGnc/copyhttps://drive.google.com/open?id=0B6EgzEa76um2U1lCeFZuSnJOVXchttp://map.mathshell.org/lessons.php?unit=7335&collection=8http://map.mathshell.org/lessons.php?unit=7335&collection=8
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Circumference of a Circle ● Measure parts of geometric
figures using the appropriate tools and units of measure.
● Solve problems using the formula for the circumference
of a circle ● Apply understandings about
circles.
● Solve problems finding the circumference of a circle in terms of pi.
● Solve problems finding the
circumference of a circle using 3.14 for pi.
● Solve problems using the
circumference of a circle to find the diameter
I can solve problems using the formula for circumference of a
circle.
● Sir Cumference and the
Dragon of Pi by Cindy Neuschwander
● iReady Unit 4 Lesson 21:
Area and Circumference of a Circle
● iReady Standards Mastery
Area of a Circle ● Measure parts of geometric
figures using the appropriate tools and units of measure.
● Solve problems using the
formula for the area of a circle ● Estimate the area of a circle
using the areas of other shapes.
● Solve problems using the radius to find the area of a circle.
● Solve problems using the
diameter to find the area of a circle.
● Solve real-world problems
using the formula for the area of a circle.
I can solve problems using the
formula for area of a circle.
● iReady Unit 4 Lesson 21: Area and Circumference of a
Circle ● iReady Standards Mastery
https://teacher-toolbox.com/toolbox/M.7/classroom-resources~lessonID=NN.M.7.4.21~.htmlhttps://teacher-toolbox.com/toolbox/M.7/classroom-resources~lessonID=NN.M.7.4.21~.htmlhttps://teacher-toolbox.com/toolbox/M.7/classroom-resources~lessonID=NN.M.7.4.21~.htmlhttps://teacher-toolbox.com/toolbox/M.7/classroom-resources~lessonID=NN.M.7.4.21~.htmlhttps://teacher-toolbox.com/toolbox/M.7/classroom-resources~lessonID=NN.M.7.4.21~.htmlhttps://teacher-toolbox.com/toolbox/M.7/classroom-resources~lessonID=NN.M.7.4.21~.html
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Relating Circumference and Area of a Circle
● Give an informal derivation of the relationship between the circumference and area of a circle
● Describe relationships between the perimeter and area of different shapes.
● Use circumference to find the area of a circle.
● Use the ratio of the circumference of a circle to
the area of the circle to solve problems.
I can relate circumference and area of circles.
● iReady Unit 4 Lesson 21: Area and Circumference of a Circle
● iReady Standards Mastery
Unit Review and Test
END OF SECOND NINE WEEKS
https://teacher-toolbox.com/toolbox/M.7/classroom-resources~lessonID=NN.M.7.4.21~.htmlhttps://teacher-toolbox.com/toolbox/M.7/classroom-resources~lessonID=NN.M.7.4.21~.htmlhttps://teacher-toolbox.com/toolbox/M.7/classroom-resources~lessonID=NN.M.7.4.21~.html
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Unit 11 – 2- and 3-Dimensional Shapes (5 days)
7.GM.2 Construct triangles and special quadrilaterals using a variety of tools (e.g., freehand, ruler and protractor, technology).
7.GM.2a Construct triangles given all measurements of either angles or sides. 7.GM.2b Decide if the measurements determine a unique triangle, more than one triangle, or no triangle. 7.GM.2cConstruct special quadrilaterals (i.e., kite, trapezoid, isosceles trapezoid, rhombus, parallelogram, rectangle) given specific
parameters about angles or sides. 7.GM.3 Describe two-dimensional cross-sections of three-dimensional figures, specifically right rectangular prisms and right rectangular pyramids. 7.GM.6 Apply the concepts of two- and three-dimensional figures to real-world and mathematical situations.
7.GM.6a Understand that the concept of area is applied to two-dimensional figures such as triangles, quadrilaterals, and polygons. 7.GM.6d Use the formulas for area, volume, and surface area appropriately.
Unit 11 – 2- and 3-Dimensional Shapes (5 days)
Essential Tasks/Key Concepts
Learning Targets Resources (Suggested Activities)
MDC Formative Assessment Lessons
Cross Section of a Solid
● Describe two-dimensional cross-sections of three-dimensional figures,
specifically right rectangular prisms and right rectangular pyramids
I can describe the cross-section of a solid.
● iReady Unit 4 Lesson 25:
Understanding Plane Sections of Prisms and Pyramids
● iReady Standards Mastery
● Slides ● RCD Geometry
FAL: Describing and Defining Triangles FAL: Describing and Defining
Quadrilaterals FAL: Designing a 3D Product in 2D: a Sports Bag FAL: Maximizing Area: Gold Rush
Triangle Inequality Theorem ● Construct triangles and
special quadrilaterals
using a variety of tools (e.g., freehand, ruler and protractor, technology).
● Construct triangles given all measurements of either angles or sides.
I can construct triangles given measurements of angles or sides. I can decide if measurements determine a triangle.
● iReady Unit 4 Lesson 19: Understand Conditions for
Drawing Triangles ● iReady Standards Mastery ● Slides
https://teacher-toolbox.com/toolbox/M.7/classroom-resources~lessonID=NN.M.7.4.25~.htmlhttps://teacher-toolbox.com/toolbox/M.7/classroom-resources~lessonID=NN.M.7.4.25~.htmlhttps://teacher-toolbox.com/toolbox/M.7/classroom-resources~lessonID=NN.M.7.4.25~.htmlhttps://teacher-toolbox.com/toolbox/M.7/classroom-resources~lessonID=NN.M.7.4.25~.htmlhttps://docs.google.com/presentation/d/1Ti0LGX_kI2QXWf3mwDWek6fAwXSm4DBz-7t_sKIcJ8A/copyhttps://drive.google.com/open?id=0B6EgzEa76um2U1lCeFZuSnJOVXchttp://map.mathshell.org/lessons.php?unit=7330&collection=8http://map.mathshell.org/lessons.php?unit=7330&collection=8http://map.mathshell.org/lessons.php?unit=7325&collection=8http://map.mathshell.org/lessons.php?unit=7325&collection=8http://map.mathshell.org/lessons.php?unit=7305&collection=8http://map.mathshell.org/lessons.php?unit=7305&collection=8http://map.mathshell.org/lessons.php?unit=7300&collection=8https://teacher-toolbox.com/toolbox/M.7/classroom-resources~lessonID=NN.M.7.4.19~.htmlhttps://teacher-toolbox.com/toolbox/M.7/classroom-resources~lessonID=NN.M.7.4.19~.htmlhttps://teacher-toolbox.com/toolbox/M.7/classroom-resources~lessonID=NN.M.7.4.19~.htmlhttps://docs.google.com/presentation/d/1ioYW1g-7BMmvnlcfRPrGT1avCk_Qy2ywzevyYE-JyN8/copy
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● Decide if the measurements determine
a unique triangle, more than one triangle, or no triangle.
Characteristics, Area, and Perimeter of Two-Dimensional
Shapes ● Apply the concepts of
two- and three-dimensional figures to
real-world and mathematical situations.
● Understand that the
concept of area is applied to two-dimensional figures such as triangles, quadrilaterals, and
polygons. ● Use the formulas for area,
volume, and surface area
appropriately. ● Construct special
quadrilaterals (i.e., kite, trapezoid, isosceles
trapezoid, rhombus, parallelogram, rectangle) given specific parameters
about angles or sides. ● Construct triangles and
special quadrilaterals using a variety of tools
(e.g., freehand, ruler and protractor, technology).
● Construct triangles given all measurements of
either angles or sides.
I can apply concepts of two-dimensional figures to real world situations.
I can apply concepts of three-dimensional figures to real world situations.
I can understand the concept of area is applied to two-dimensional
figures. I can use the formulas for area.
● iReady Unit 4 Lesson 20: Area of Composed Figures
● iReady Standards Mastery
● Slides
https://teacher-toolbox.com/toolbox/M.7/classroom-resources~lessonID=NN.M.7.4.20~.htmlhttps://teacher-toolbox.com/toolbox/M.7/classroom-resources~lessonID=NN.M.7.4.20~.htmlhttps://docs.google.com/presentation/d/1yyu3A3BCj5A8qY1nzohENURbFkAaLS_GhO8JGw8PzEQ/copy
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Unit Review and Test
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Unit 12 – Surface Area and Volume (10 days) 7.GM.6 Apply the concepts of two- and three-dimensional figures to real-world and mathematical situations.
7.GM.6a Understand that the concept of area is applied to two-dimensional figures such as triangles, quadrilaterals, and polygons. 7.GM.6b Understand that the concepts of volume and surface area are applied to three-dimensional figures such as cubes, right rectangular
prisms, and right triangular prisms.
7.GM.6c Decompose cubes, right rectangular prisms, and right triangular prisms into rectangles and triangles to derive the formulas for volume and surface area.
7.GM.6d Use the formulas for area, volume, and surface area appropriately.
Unit 12 – Surface Area and Volume (10 days)
Essential Tasks/Key Concepts
Learning Targets Resources (Suggested Activities)
MDC Formative Assessment Lessons
Surface Areas of Right Prisms ● Solve real-world and
mathematical problems involving area of two-dimensional objects and
surface area of three-dimensional objects composed of triangles, quadrilaterals, and polygons
● Solve real-world and mathematical problems involving area of squares and
surface area of cubes. ● Solve real-world and
mathematical problems involving area of rectangles
and squares and surface area of rectangular prisms and cubes.
● Solve real-world and mathematical problems involving area of triangles and
I can find the surface area of right prisms using formulas.
● Slides for Surface Area of
Prisms and Pyramids ● iReady Standards Mastery ● iReady Unit 4 Lesson 24:
Surface Area of Solids ● RCD Geometry
https://docs.google.com/presentation/d/1vGd8uGf4VL2tSL8nZRjPVRiMtkYSE9j9hZwa57m977E/copyhttps://docs.google.com/presentation/d/1vGd8uGf4VL2tSL8nZRjPVRiMtkYSE9j9hZwa57m977E/copyhttps://teacher-toolbox.com/toolbox/M.7/classroom-resources~lessonID=NN.M.7.4.24~.htmlhttps://teacher-toolbox.com/toolbox/M.7/classroom-resources~lessonID=NN.M.7.4.24~.htmlhttps://drive.google.com/open?id=0B6EgzEa76um2U1lCeFZuSnJOVXc
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surface area of triangular prisms.
● Solve real-world and mathematical problems involving area of hexagons and surface area of hexagonal
prisms.
Surface Areas of Right Pyramids ● Solve real-world and
mathematical problems involving area of two-dimensional objects and surface area of three-
dimensional objects composed of triangles, quadrilaterals, and polygons
● Solve real-world and mathematical problems involving area of rectangles and surface area of pyramids.
● Solve real-world and mathematical problems involving area of squares and
surface area of square pyramids.
● Solve real-world and mathematical problems
involving area of triangles and surface area of triangular pyramids.
● Solve real-world and
I can find the surface area of right pyramids using formulas.
● Slides for Surface Area of Prisms and Pyramids
● iReady Unit 4 Lesson 24:
Surface Area of Solids ● iReady Standards Mastery
https://docs.google.com/presentation/d/1vGd8uGf4VL2tSL8nZRjPVRiMtkYSE9j9hZwa57m977E/copyhttps://docs.google.com/presentation/d/1vGd8uGf4VL2tSL8nZRjPVRiMtkYSE9j9hZwa57m977E/copyhttps://teacher-toolbox.com/toolbox/M.7/classroom-resources~lessonID=NN.M.7.4.24~.htmlhttps://teacher-toolbox.com/toolbox/M.7/classroom-resources~lessonID=NN.M.7.4.24~.html
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mathematical problems involving area of hexagons
and surface area of hexagonal pyramids
Volumes of Right Prisms ● Solve real-world and
mathematical problems involving area of two-dimensional objects and volume of three-dimensional
objects composed of triangles, quadrilaterals, and polygons
● Solve real-world and
mathematical problems involving area of rectangles and squares and volume of rectangular prisms and cubes.
● Solve real-world and mathematical problems involving area of rectangles
and squares and volume of rectangular prisms and cubes.
● Solve real-world and mathematical problems
involving area of triangles and volume of triangular prisms
● Solve real-world and
mathematical problems
I can solve real-world problems involving rectangular prisms and
cubes.
● Slides for Volume of Prisms and Pyramids
● iReady Unit 4 Lesson 23:
Volume of Solids ● iReady Standards Mastery
https://docs.google.com/presentation/d/1AXylvUKzr5BqQ-pKeS4Fmh6_2OOurnRJzdVtHxJtI6c/copyhttps://docs.google.com/presentation/d/1AXylvUKzr5BqQ-pKeS4Fmh6_2OOurnRJzdVtHxJtI6c/copyhttps://teacher-toolbox.com/toolbox/M.7/classroom-resources~lessonID=NN.M.7.4.23~.htmlhttps://teacher-toolbox.com/toolbox/M.7/classroom-resources~lessonID=NN.M.7.4.23~.html
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involving area of hexagons and volume of hexagonal
prisms.
Volumes of Right Pyramids ● Solve real-world and
mathematical problems involving area of two-dimensional objects and volume of three-dimensional
objects composed of triangles, quadrilaterals, and polygons.
● Solve mathematical problems
relating the volume of rectangular prisms and pyramids.
● Solve real-world and
mathematical problems involving area of squares and volume of square pyramids.
● Solve real-world and mathematical problems involving area of triangles and volume of triangular pyramids.
● Solve real-world and mathematical problems
I can find the volume of right pyramids using formulas.
● Slides for Volume of
Prisms and Pyramids ● iReady Unit 4 Lesson 23:
Volume of Solids
● iReady Standards Mastery
https://docs.google.com/presentation/d/1AXylvUKzr5BqQ-pKeS4Fmh6_2OOurnRJzdVtHxJtI6c/copyhttps://docs.google.com/presentation/d/1AXylvUKzr5BqQ-pKeS4Fmh6_2OOurnRJzdVtHxJtI6c/copyhttps://teacher-toolbox.com/toolbox/M.7/classroom-resources~lessonID=NN.M.7.4.23~.htmlhttps://teacher-toolbox.com/toolbox/M.7/classroom-resources~lessonID=NN.M.7.4.23~.html
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involving area of hexagons and volume of hexagonal
pyramids.
Unit Review and Test
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Unit 13- Exponent Rules (5 days) 7.EEI.5 Understand and apply the laws of exponents (i.e., product rule, quotient rule, power to a power, product to a power, quotient to a power, zero power property) to simplify numerical expressions that include whole-number exponents.
Unit 13- Exponent Rules (5 days)
Essential Tasks/Key Concepts
Learning Targets Resources (Suggested Activities)
MDC Formative Assessment Lessons
Laws of Exponents: Product Rule and Quotient Rule
● Understand and apply the
laws of exponents- product rule and quotient rule- to simplify numerical
expressions that include whole-number exponents.
I can understand and apply the
product rule and quotient rule to simplify numerical expressions that include whole-number
exponents.
● Khan Academy Exponents
● Exponents Slides ● iReady Standards Mastery ● Grade 8 iReady Lesson 1:
Properties of Integer
Exponents
Laws of Exponents: Product to a Power, Quotient to a Power, Zero Power Property
● Understand and apply the
laws of exponents- product to a power, quotient to a power, zero
power property- to simplify numerical expressions that include whole-number exponents.
I can understand and apply the product to a power, quotient to a
power, and zero power property to simplify numerical expressions that include whole-number
exponents.
● Khan Academy Exponents
● Exponents Slides ● iReady Standards Mastery ● Grade 8 iReady Lesson 1:
Properties of Integer
Exponents
Unit Review and Test
https://www.khanacademy.org/math/pre-algebra/pre-algebra-exponents-radicals#pre-algebra-exponentshttps://docs.google.com/presentation/d/1SKmj44MwhpPz2LPkO1jCqExMef8MYiEO9k03LVDndUw/copyhttps://www.khanacademy.org/math/pre-algebra/pre-algebra-exponents-radicals#pre-algebra-exponentshttps://docs.google.com/presentation/d/1SKmj44MwhpPz2LPkO1jCqExMef8MYiEO9k03LVDndUw/copy
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Unit 14 – Statistics (13 days)
7.DSP.1 Investigate concepts of random sampling. 7.DSP.1a Understand that a sample is a subset of a population and both possess the same characteristics. 7.DSP.1b Differentiate between random and non-random sampling. 7.DSP.1c Understand that generalizations from a sample are valid only if the sample is representative of the population.
7.DSP.1d Understand that random sampling is used to gather a representative sample and supports valid inferences about the population. 7.DSP.2 Draw inferences about a population by collecting multiple random samples of the same size to investigate variability in estimates of the
characteristic of interest.
7.DSP.3 Visually compare the centers, spreads, and overlap of two displays of data (i.e., dot plots, histograms, box plots) that are graphed on the same scale and draw inferences about this data.
7.DSP.4 Compare the numerical measures of center (mean, median, mode) and variability (range, interquartile range, mean absolute deviation) from two random samples to draw inferences about the populations.
Unit 14 – Statistics (13 days)
Essential Tasks/Key Concepts
Learning Targets Resources (Suggested Activities)
MDC Formative Assessment Lessons
Populations and Samples
● Understand that statistics can be used to gain information about a
population by examining a sample of the population.
● Understand that generalizations about a
population from a sample are valid only if the sample is representative of that
population.
I can use statistics to gain information about a population.
I can examine a sample of a population.
I can understand if a population from a sample is representative of the population.
● Populations and Samples
Video
● RCD Stats & Probability ● iReady Standards Mastery
● Grade 7 iReady Lesson 26: Understanding Random Samples
● FAL: Comparing Data Using Statistical Measures
● FAL: Sampling and
Estimating: Counting Trees
https://www.youtube.com/watch?v=F_s7MhsfcnIhttps://www.youtube.com/watch?v=F_s7MhsfcnIhttps://drive.google.com/open?id=0B6EgzEa76um2UUR6Um5Ta1l5Q2shttp://map.mathshell.org/lessons.php?unit=7410&collection=8http://map.mathshell.org/lessons.php?unit=7410&collection=8http://map.mathshell.org/lessons.php?unit=7400&collection=8http://map.mathshell.org/lessons.php?unit=7400&collection=8http://map.mathshell.org/lessons.php?unit=7400&collection=8
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Estimating a Population ● Use data from a
random sample to draw inferences about a population with an unknown characteristic of interest.
● Generate multiple samples (or simulated samples) of the same size to
gauge the variation in estimates or predictions.
I can draw inferences about a population and generate multiple
samples to gauge the variation in estimates.
● Estimating a Population
Video
● iReady Standards Mastery ● Grade 7 iReady Lesson
26: Understanding Random Samples
Convenience Sampling ● Understand that
statistics can be used to gain information about a population by examining a
sample of the population. ● Understand that
generalizations about a population from a sample are
valid only if the sample is representative of that population.
I can differentiate between random and non-random sampling
and using random sampling to make generalizations about a population.
● Sampling Methods Video
● iReady Standards Mastery ● Grade 7 iReady Lesson
26: Understanding Random Samples
Systematic Sampling ● Understand that
statistics can be used to gain information about a
population by examining a sample of the population.
● Understand that generalizations about a
population from a sample are valid only if the sample is representative of that
population.
I can differentiate between random and non-random sampling and using random sampling to make generalizations about a
population.
● Sampling Methods Video
iReady Standards Mastery
● Grade 7 iReady Lesson
26: Understanding Random Samples
https://www.youtube.com/watch?v=QNAzqWek-AYhttps://www.youtube.com/watch?v=QNAzqWek-AYhttps://www.youtube.com/watch?v=AoOkvyMf-_chttps://www.youtube.com/watch?v=AoOkvyMf-_c
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Simple Random Sampling ● Use data from a
random sample to draw inferences about a population
with an unknown characteristic of interest.
● Understand that statistics can be used to gain
information about a population by examining a sample of the population.
I can differentiate between
random and non-random sampling and using random sampling to make generalizations about a population.
● Sampling Methods Video
● Simple Random Samples
Worksheet
● iReady Standards Mastery ● Grade 7 iReady Lesson
26: Understanding
Random Samples
Comparing Sampling Methods ● Understand that
statistics can be used to gain information about a population by examining a sample of the population.
I can differentiate between random and non-random sampling
and using random sampling to make generalizations about a population.
● Comparing Sampling Methods
● iReady Standards Mastery ● Grade 7 iReady Lesson 27:
Making Statistical Inferences
Statistical Measures ● Understand that
statistics can be used to gain information about a
population by examining a sample of the population.
● Use measures of center and measures of
variability for numerical data from random samples.
I can compare the numerical measures of center and
variability from two random samples to draw
inferences about the populations.
● Measures of Center Video
● Measures of Variability
Video 1 and Measures of
Variability Video 2
● Grade 7 iReady Lesson 28: Using Mean and Mean Absolute Deviation to
Compare Data ● Grade 7 iReady Lesson
29: Using Measures of
Center and Variability to Compare Data
Multiple Populations and Inferences
● Understand that statistics can be used to gain information about a population by examining a
sample of the population. ● Use measures of
I can compare the numerical
measures of center and variability from two random
samples to draw inferences about
● Grade 7 iReady Lesson 28: Using Mean and Mean
Absolute Deviation to Compare Data
● Grade 7 iReady Lesson 29: Using Measures of
Center and Variability to Compare Data
https://www.youtube.com/watch?v=AoOkvyMf-_chttp://www.mdk12.org/share/clgtoolkit/lessonplans/SimpleRandomSamples.pdfhttp://www.mdk12.org/share/clgtoolkit/lessonplans/SimpleRandomSamples.pdfhttp://www.mdk12.org/share/clgtoolkit/lessonplans/ExaminingSampleDesigns.pdfhttps://www.youtube.com/watch?v=v70FGYppVtEhttps://www.youtube.com/watch?v=yO7iTOMYau8https://www.youtube.com/watch?v=yO7iTOMYau8https://www.youtube.com/watch?v=OaHAbXalWakhttps://www.youtube.com/watch?v=OaHAbXalWak
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center and measures of variability for numerical data
from random samples to draw informal comparative inferences about two populations.
the populations.
Using Measures of Center and Variability
● Use measures of center and measures of variability for numerical data from random samples to draw
informal comparative inferences about two populations.
I can compare the numerical
measures of center and variability from two random
samples to draw inferences about the populations.
● Using Measures of Center
and Variability Video
● iReady Standards Mastery ● Grade 7 iReady Lesson
29: Using Measures of Center and Variability to Compare Data
Exploring Overlap in Data Sets ● Informally assess
the degree of visual overlap of two numerical data
distributions with similar variabilities, measuring the difference between the
centers by expressing it as a multiple of a measure of variability.
● Use measures of
center and measures of variability for numerical data from random samples to draw
informal comparative inferences about two populations.
Visually compare the centers, spreads, and overlap of two
displays of data that are graphed on the same scale
and draw inferences about this data.
● Grade 7 iReady Lesson 28: Using Mean and Mean Absolute Deviation to
Compare Data ● Grade 7 iReady Lesson
29: Using Measures of Center and Variability to
Compare Data ● iReady Standards Mastery
Unit Review and Test
https://www.youtube.com/watch?v=f9RLXlhBjAEhttps://www.youtube.com/watch?v=f9RLXlhBjAE
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Grade 7 Mathematics – Curriculum Pacing Guide – 2018-2019
Anderson School District Two Page 43 2018-2019
Unit 15 – Probability (12 days) 7.DSP.5 Investigate the concept of probability of chance events.
7.DSP.5a Determine the probabilities of simple events. 7.DSP.5b Understand that probability measures likelihood of a chance event occurring. 7.DSP.5c Understand that the probability of a chance event is a number between 0 and 1.
7.DSP.5d Understand that a probability closer to 1 indicates a likely chance event. 7.DSP.5e Understand that a probability close to ½ indicates that a chance event is neither likely nor unlikely. 7.DSP.5f Understand that a probability closer to 0 indicates an unlikely chance event. 7.DSP.6 Investigate the relationship between theoretical and experimental probabilities for simple events.
7.DSP.6a Determine approximate outcomes using theoretical probability. 7.DSP.6b Perform experiments that model theoretical probability. 7.DSP.6c Compare theoretical and experimental probabilities.
7.DSP.7 Apply the concepts of theoretical and experimental probabilities for simple events. 7.DSP.7a Differentiate between uniform and non-uniform probability models (distributions). 7.DSP.7b Develop both uniform and non-uniform probability models. 7.DSP.8 Extend the concepts of simp