Nys Common Core Mathematics Curriculum Lesson 17 7.1 Answer Key

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Common Core Math Video Lessons, Math Worksheets and Games for Grade 7
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Grade 7 Homework, Lesson Plans And Worksheets

Module 1 Topics and Objectives
Module A Overview Lesson 1, Worksheets: An Experience in Relationships as Measuring Rate (Video Lesson) Lesson 2, Worksheets: Proportional Relationships (Video Lesson) Lesson 3, Worksheets, Lesson 4, Worksheets: Identifying Proportional and Non-Proportional Relationships in Tables (Video Lesson) Lesson 5, Worksheets Identifying Proportional and Non-Proportional Relationships in Graphs (Video Lesson) Lesson 6, Worksheets: Identifying Proportional and Non-Proportional Relationships in Graphs
Module B Overview Lesson 7, Worksheets: Unit Rate as the Constant of Proportionality (Video Lesson) Lesson 8, Worksheets, Lesson 9, Worksheets: Representing Proportional Relationships with Equations (Video Lesson) Lesson 10, Worksheets: Interpreting Graphs of Proportional Relationships (Video Lesson)
Mid-Module Assessment Topics A through B (assessment 1 day, return 1 day, remediation or further applications 2 days)
Module C Overview Lesson 11, Worksheets, Lesson 12, Worksheets: Ratios of Fractions and Their Unit Rates (Video Lessons) Lesson 13, Worksheets: Finding Equivalent Ratios Given the Total Quantity (Video Lesson) Lesson 14, Worksheets: Multistep Ratio Problems (Video Lesson) Lesson 15, Worksheets: Equations and Graphs of Proportional Relationships Involving Fractions (Video Lesson)
Module D Overview Lesson 16, Worksheets: (Activity) Relating Scale Drawings to Ratios and Rates (Video Lesson) Lesson 17, Worksheets: The Unit Rate as the Scale Factor (Video Lesson) Lesson 18, Worksheets: Computing Actual Lengths from a Scale Drawing (Video Lesson) Lesson 19, Worksheets: Computing Actual Areas from a Scale Drawing (Video Lesson) Lesson 20, Worksheets: An Exercise in Creating a Scale Drawing Lesson 21, Worksheets, Lesson 22, Worksheets: An Exercise in Changing Scales
End-of-Module Assessment Topics A through D (assessment 1 day, return 1 day, remediation or further applications 2 days)

Module 1 Topics and Objectives

Module A Overview

Lesson 1, Worksheets: An Experience in Relationships as Measuring Rate (Video Lesson)

Lesson 2, Worksheets: Proportional Relationships (Video Lesson)

Lesson 3, Worksheets, Lesson 4, Worksheets: Identifying Proportional and Non-Proportional Relationships in Tables (Video Lesson)

Lesson 5, Worksheets Identifying Proportional and Non-Proportional Relationships in Graphs (Video Lesson)

Lesson 6, Worksheets: Identifying Proportional and Non-Proportional Relationships in Graphs

Module B Overview

Lesson 7, Worksheets: Unit Rate as the Constant of Proportionality (Video Lesson)

Lesson 8, Worksheets, Lesson 9, Worksheets: Representing Proportional Relationships with Equations (Video Lesson)

Lesson 10, Worksheets: Interpreting Graphs of Proportional Relationships (Video Lesson)

Mid-Module Assessment Topics A through B (assessment 1 day, return 1 day, remediation or further applications 2 days)

Module C Overview

Lesson 11, Worksheets, Lesson 12, Worksheets: Ratios of Fractions and Their Unit Rates (Video Lessons)

Lesson 13, Worksheets: Finding Equivalent Ratios Given the Total Quantity (Video Lesson)

Lesson 14, Worksheets: Multistep Ratio Problems (Video Lesson)

Lesson 15, Worksheets: Equations and Graphs of Proportional Relationships Involving Fractions (Video Lesson)

Module D Overview

Lesson 16, Worksheets: (Activity) Relating Scale Drawings to Ratios and Rates (Video Lesson)

Lesson 17, Worksheets: The Unit Rate as the Scale Factor (Video Lesson)

Lesson 18, Worksheets: Computing Actual Lengths from a Scale Drawing (Video Lesson)

Lesson 19, Worksheets: Computing Actual Areas from a Scale Drawing (Video Lesson)

Lesson 20, Worksheets: An Exercise in Creating a Scale Drawing

Lesson 21, Worksheets, Lesson 22, Worksheets: An Exercise in Changing Scales

End-of-Module Assessment Topics A through D (assessment 1 day, return 1 day, remediation or further applications 2 days)

Module 2 Topics and Objectives
Module A Overview Lesson 1, Worksheets: Opposite Quantities Combine to Make Zero (Video Lesson) Lesson 2, Worksheets: Using the Number Line to Model the Addition of Integers (Video Lesson) Lesson 3, Worksheets: Understanding Addition of Integers (Video Lesson) Lesson 4, Worksheets: Efficiently Adding Integers and Other Rational Numbers (Video Lesson) Lesson 5, Worksheets: Understanding Subtraction of Integers and Other Rational Numbers (Video Lesson) Lesson 6, Worksheets: The Distance Between Two Rational Numbers (Video Lesson) Lesson 7, Worksheets: Addition and Subtraction of Rational Numbers (Video Lesson) Lesson 8, Worksheets, Lesson 9, Worksheets: Applying the Properties of Operations to Add and Subtract Rational Numbers (Video Lesson)
Module B Overview Lesson 10, Worksheets: Understanding Multiplication of Integers (Video Lesson) Lesson 11, Worksheets: Develop Rules for Multiplying Signed Numbers (Video Lesson) Lesson 12, Worksheets: Division of Integers (Video Lesson) Lesson 13, Worksheets: Converting Between Fractions and Decimals Using Equivalent Fractions (Video Lesson) Lesson 14, Worksheets: Converting Rational Numbers to Decimals Using Long Division (Video Lesson) Lesson 15, Worksheets: Multiplication and Division of Rational Numbers (Video Lesson) Lesson 16, Worksheets: Applying the Properties of Operations to Multiply and Divide Rational Numbers (Video Lesson)
Mid-Module Assessment Topics A through B (assessment 1 day, return 1 day, remediation or further applications 2 days)
Module C Overview Lesson 17, Worksheets: Comparing Tape Diagram Solutions to Algebraic Solutions (Video Lesson) Lesson 18, Worksheets, Lesson 19, Worksheets: Writing, Evaluating, and Finding Equivalent Expressions with Rational Numbers (Video Lesson) Lesson 20, Worksheets: Investments - Performing Operations with Rational Numbers (Video Lesson) Lesson 21, Worksheets: If-Then Moves with Integer Number Cards (Video Lesson) Lesson 22, Worksheets, Lesson 23, Worksheets: Solving Equations Using Algebra (Video Lesson) (Video Lesson)
End-of-Module Assessment Topics A through C (assessment 1 day, return 1 day, remediation or further applications 2 days)

Module 3 Topics and Objectives
Module A Overview Lesson 1, Lesson 2: Generating Equivalent Expressions (Video Lesson) (Video Lesson) Lesson 3, Lesson 4: Writing Products as Sums and Sums as Products (Video Lesson) (Video Lesson) Lesson 5: Using the Identity and Inverse to Write Equivalent Expressions (Video Lesson) Lesson 6: Collecting Rational Number Like Terms (Video Lesson)
Module B Overview Lesson 7: Understanding Equations (Video Lesson) Lesson 8, Lesson 9: Using the If-Then Moves in Solving Equations (Video Lesson) (Video Lesson) Lesson 10, Lesson 11: Angle Problems and Solving Equations (Video Lesson)(Video Lesson) Lesson 12: Properties of Inequalities (Video Lesson) Lesson 13: Inequalities (Video Lesson) Lesson 14: Solving Inequalities (Video Lesson) Lesson 15: Graphing Solutions to Inequalities (Video Lesson)
Mid-Module Assessment Topics A through B (assessment 1 day, return 1 day, remediation or further applications 2 days)
Module C Overview Lesson 16: The Most Famous Ratio of All (Video Lesson) Lesson 17: The Area of a Circle (Video Lesson) Lesson 18: More Problems on Area and Circumference (Video Lesson) Lesson 19: Unknown Area Problems on the Coordinate Plane (Video Lesson) Lesson 20: Composite Area Problems (Video Lesson) Lesson 21, Lesson 22: Surface Area (Video Lesson) (Video Lesson) Lesson 23, Lesson 24: The Volume of a Right Prism (Video Lesson) (Video Lesson) Lesson 25, Lesson 26: Volume and Surface Area (Video Lesson) (Video Lesson)
End-Module Assessment Topics A through C (assessment 1 day, return 1 day, remediation or further applications 2 days)

Module 4 Topics and Objectives
Module A Overview Lesson 1: Percent (Video Lesson) Lesson 2: Part of a Whole as a Percent (Video Lesson) Lesson 3: Comparing Quantities with Percent (Video Lesson) Lesson 4: Percent Increase and Decrease (Video Lesson) Lesson 5: Finding One-Hundred Percent Given Another Percent (Video Lesson) Lesson 6: Fluency with Percents
Module B Overview Lesson 7: Markup and Markdown Problems (Video Lesson) Lesson 8: Percent Error Problems (Video Lesson) Lesson 9: Problem-Solving when the Percent Changes (Video Lesson) Lesson 10: Simple Interest (Video Lesson) Lesson 11: Tax, Commissions, Fees, and Other Real-World Percent Problems (Video Lesson)
Mid-Module Assessment Topics A through B (assessment 1 day, return 1 day, remediation or further applications 2 days)
Module C Overview Lesson 12: The Scale Factor as a Percent for a Scale Drawing (Video Lesson) Lesson 13: Changing Scales (Video Lesson) Lesson 14: Computing Actual Lengths from a Scale Drawing (Video Lesson) Lesson 15: Solving Area Problems Using Scale Drawings (Video Lesson)
Module D Overview Lesson 16: Population Problems (Video Lesson) Lesson 17: Mixture Problems (Video Lesson) Lesson 18: Counting Problems (Video Lesson)
End-Module Assessment Topics A through D (assessment 1 day, return 1 day, remediation or further applications 2 days)

Module 4 Topics and Objectives

Module A Overview

Lesson 1: Percent (Video Lesson)

Lesson 2: Part of a Whole as a Percent (Video Lesson)

Lesson 3: Comparing Quantities with Percent (Video Lesson)

Lesson 4: Percent Increase and Decrease (Video Lesson)

Lesson 5: Finding One-Hundred Percent Given Another Percent (Video Lesson)

Lesson 6: Fluency with Percents

Module B Overview

Lesson 7: Markup and Markdown Problems (Video Lesson)

Lesson 8: Percent Error Problems (Video Lesson)

Lesson 9: Problem-Solving when the Percent Changes (Video Lesson)

Lesson 10: Simple Interest (Video Lesson)

Lesson 11: Tax, Commissions, Fees, and Other Real-World Percent Problems (Video Lesson)

Mid-Module Assessment Topics A through B (assessment 1 day, return 1 day, remediation or further applications 2 days)

Module C Overview

Lesson 12: The Scale Factor as a Percent for a Scale Drawing (Video Lesson)

Lesson 13: Changing Scales (Video Lesson)

Lesson 14: Computing Actual Lengths from a Scale Drawing (Video Lesson)

Lesson 15: Solving Area Problems Using Scale Drawings (Video Lesson)

Module D Overview

Lesson 16: Population Problems (Video Lesson)

Lesson 17: Mixture Problems (Video Lesson)

Lesson 18: Counting Problems (Video Lesson)

End-Module Assessment Topics A through D (assessment 1 day, return 1 day, remediation or further applications 2 days)

Module 5 Topics and Objectives
Module A Overview Lesson 1: Chance Experiments (Video Lesson) Lesson 2: Estimating Probabilities by Collecting Data (Video Lesson) Lesson 3: Chance Experiments with Equally Likely Outcomes (Video Lesson) Lesson 4: Calculating Probabilities for Chance Experiments with Equally Likely Outcomes (Video Lesson) Lesson 5: Chance Experiments with Outcomes that Are Not Equally Likely (Video Lesson) Lesson 6: Using Tree Diagrams to Represent a Sample Space and to Calculate Probabilities (Video Lesson) Lesson 7: Calculating Probabilities of Compound Events (Video Lesson)
Module B Overview Lesson 8:The Difference Between Theoretical Probabilities and Estimated Probabilities (Video Lesson) Lesson 9: Comparing Estimated Probabilities to Probabilities Predicted by a Model (Video Lesson) Lesson 10, Lesson 11: Using Simulation to Estimate a Probability (Video Lesson) (Video Lesson) Lesson 12: Using Probability to Make Decisions
Mid-Module Assessment Topics A through B (assessment 1 day, return 1 day, remediation or further applications 2 days)
Module C Overview Lesson 13: Populations, Samples, and Generalizing from a Sample to a Population Lesson 14: Selecting a Sample Lesson 15: Random Sampling Lesson 16: Methods for Selecting a Random Sample (Video Lesson) Lesson 17: Sampling Variability (Video Lesson) Lesson 18: Sampling Variability and the Effect of Sample Size (Video Lesson) Lesson 19: Understanding Variability when Estimating a Population Proportion (Video Lesson) Lesson 20: Estimating a Population Proportion (Video Lesson)
Module D Overview Lesson 21: Why Worry About Sampling Variability? (Video Lesson) Lesson 22, Lesson 23: Using Sample Data to Decide if Two Population Means Are Different (Video Lesson) (Video Lesson)
End-Module Assessment Topics A through D (assessment 1 day, return 1 day, remediation or further applications 2 days)

Module 5 Topics and Objectives

Module A Overview

Lesson 1: Chance Experiments (Video Lesson)

Lesson 2: Estimating Probabilities by Collecting Data (Video Lesson)

Lesson 3: Chance Experiments with Equally Likely Outcomes (Video Lesson)

Lesson 4: Calculating Probabilities for Chance Experiments with Equally Likely Outcomes (Video Lesson)

Lesson 5: Chance Experiments with Outcomes that Are Not Equally Likely (Video Lesson)

Lesson 6: Using Tree Diagrams to Represent a Sample Space and to Calculate Probabilities (Video Lesson)

Lesson 7: Calculating Probabilities of Compound Events (Video Lesson)

Module B Overview

Lesson 8:The Difference Between Theoretical Probabilities and Estimated Probabilities (Video Lesson)

Lesson 9: Comparing Estimated Probabilities to Probabilities Predicted by a Model (Video Lesson)

Lesson 10, Lesson 11: Using Simulation to Estimate a Probability (Video Lesson) (Video Lesson)

Lesson 12: Using Probability to Make Decisions

Mid-Module Assessment Topics A through B (assessment 1 day, return 1 day, remediation or further applications 2 days)

Module C Overview

Lesson 13: Populations, Samples, and Generalizing from a Sample to a Population

Lesson 14: Selecting a Sample

Lesson 15: Random Sampling

Lesson 16: Methods for Selecting a Random Sample (Video Lesson)

Lesson 17: Sampling Variability (Video Lesson)

Lesson 18: Sampling Variability and the Effect of Sample Size (Video Lesson)

Lesson 19: Understanding Variability when Estimating a Population Proportion (Video Lesson)

Lesson 20: Estimating a Population Proportion (Video Lesson)

Module D Overview

Lesson 21: Why Worry About Sampling Variability? (Video Lesson)

Lesson 22, Lesson 23: Using Sample Data to Decide if Two Population Means Are Different (Video Lesson) (Video Lesson)

End-Module Assessment Topics A through D (assessment 1 day, return 1 day, remediation or further applications 2 days)

Module 6 Topics and Objectives
Module A Overview: Unknown Angles Lesson 1: Complementary and Supplementary Angles (Video Lesson) Lesson 2, Lesson 3, Lesson 4: Solve for Unknown Angles using Equations (Video Lesson) (Video Lesson) (Video Lesson)
Module B Overview: Constructing Triangles Lesson 5: Identical Triangles (Video Lesson) Lesson 6: Drawing Geometric Shapes (Video Lesson) Lesson 7: Drawing Parallelograms (Video Lesson) Lesson 8: Drawing Triangles (Video Lesson) Lesson 9: Conditions for a Unique Triangle - Three Sides and Two Sides and the Included Angle (Video Lesson) Lesson 10: Conditions for a Unique Triangle - Two Angles and a Given Side (Video Lesson) Lesson 11: Conditions on Measurements that Determine a Triangle (Video Lesson) Lesson 12: Unique Triangles - Two Sides and a Non-Included Angle (Video Lesson) Lesson 13, Lesson 14: Checking for Identical Triangles (Video Lesson) (Video Lesson) Lesson 15: Using Unique Triangles to Solve Real-World and Mathematical Problems (Video Lesson)
Mid-Module Assessment Topics A through B (assessment 1 day, return 1 day, remediation or further applications 2 days)
Module C Overview: Slicing Solids Lesson 16: Slicing a Right Rectangular Prism with a Plane (Video Lesson) Lesson 17: Slicing a Right Rectangular Pyramid with a Plane (Video Lesson) Lesson 18: Slicing on an Angle (Video Lesson) Lesson 19: Understanding Three-Dimensional Figures (Video Lesson)
Module D Overview: Problems involving Area and Surface Area Lesson 20: Real-World Area Problems (Video Lesson) Lesson 21: Mathematical Area Problems (Video Lesson) Lesson 22: Area Problems with Circular Regions (Video Lesson) Lesson 23, Lesson 24: Surface Area (Video Lesson) (Video Lesson)
Module E Overview: Problems involving Volume Lesson 25: Volume of Right Prisms (Video Lesson) Lesson 26: Volume of Composite Three-Dimensional Objects (Video Lesson) Lesson 27: Real-World Volume Problems (Video Lesson)
End-Module Assessment Topics C through E (assessment 1 day, return 1 day, remediation or further applications 2 days)

Module 6 Topics and Objectives

Module A Overview: Unknown Angles

Lesson 1: Complementary and Supplementary Angles (Video Lesson)

Lesson 2, Lesson 3, Lesson 4: Solve for Unknown Angles using Equations (Video Lesson) (Video Lesson) (Video Lesson)

Module B Overview: Constructing Triangles

Lesson 5: Identical Triangles (Video Lesson)

Lesson 6: Drawing Geometric Shapes (Video Lesson)

Lesson 7: Drawing Parallelograms (Video Lesson)

Lesson 8: Drawing Triangles (Video Lesson)

Lesson 9: Conditions for a Unique Triangle - Three Sides and Two Sides and the Included Angle (Video Lesson)

Lesson 10: Conditions for a Unique Triangle - Two Angles and a Given Side (Video Lesson)

Lesson 11: Conditions on Measurements that Determine a Triangle (Video Lesson)

Lesson 12: Unique Triangles - Two Sides and a Non-Included Angle (Video Lesson)

Lesson 13, Lesson 14: Checking for Identical Triangles (Video Lesson) (Video Lesson)

Lesson 15: Using Unique Triangles to Solve Real-World and Mathematical Problems (Video Lesson)

Mid-Module Assessment Topics A through B (assessment 1 day, return 1 day, remediation or further applications 2 days)

Module C Overview: Slicing Solids

Lesson 16: Slicing a Right Rectangular Prism with a Plane (Video Lesson)

Lesson 17: Slicing a Right Rectangular Pyramid with a Plane (Video Lesson)

Lesson 18: Slicing on an Angle (Video Lesson)

Lesson 19: Understanding Three-Dimensional Figures (Video Lesson)

Module D Overview: Problems involving Area and Surface Area

Lesson 20: Real-World Area Problems (Video Lesson)

Lesson 21: Mathematical Area Problems (Video Lesson)

Lesson 22: Area Problems with Circular Regions (Video Lesson)

Lesson 23, Lesson 24: Surface Area (Video Lesson) (Video Lesson)

Module E Overview: Problems involving Volume

Lesson 25: Volume of Right Prisms (Video Lesson)

Lesson 26: Volume of Composite Three-Dimensional Objects (Video Lesson)

Lesson 27: Real-World Volume Problems (Video Lesson)

End-Module Assessment Topics C through E (assessment 1 day, return 1 day, remediation or further applications 2 days)

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