TenMarks Curriculum Alignment Guide: EngageNY/Eureka Math, Grade 7

Transcription

1 EngageNY Module 1: Ratios and Proportional Relationships Topic A: Proportional Relationships Lesson 1 Lesson 2 Lesson 3 Understand equivalent ratios, rate, and unit rate related to a Understand proportional relationships. Identifying Proportional and Non-Proportional Relationships in Tables Representing Proportional Relationships Focus 1: Proportional, or Not Proportional, That is the Question Lesson 4 Lesson 5 Identifying Proportional and Non-Proportional Relationships in Tables Identifying Proportional and Non-Proportional Relationships in Identifying Proportional Relationships Representing Proportional Relationships Focus 2: Relating Tables and Graphs of Proportional Relationships Identifying Proportional Relationships Proportional Relationships Using Graphs and Proportional Relationships Using Tables Proportional Reasoning Identifying if a Table of Values Represents Direct Variation Lesson 6 Identifying Proportional and Non-Proportional Relationships in Topic B: Unit Rate and Constant of Proportionality Lesson 7 Unit Rate as the Constant of Proportionality Representing Proportional Relationships Graphically Representing Proportional Relationships Identifying the Constant of Proportionality Identifying Ratios Using Tables and Graphs Focus 3: Relating the Constant of Proportionality and the Unit Rate Proportional Relationships Using Graphs and Focus 4: Identifying the Constant of Proportionality Using a Graph Lesson 8 Representing Proportional Relationships with Identifying the Constant of Proportionality Representing Proportional Relationships Focus 5: Using Unit Rate to Write Identifying the Constant of Proportionality Identifying Ratios Using Tables and Graphs Proportional Relationships Using Graphs and Lesson 9 Is this guide helpful? Please complete a short five question survey to provide feedback. TenMarks -- EngageNY/Eureka Math (Copyright 2015) Alignment Guide Page 1

2 EngageNY Module 1: Ratios and Proportional Relationships Lesson 10 Lesson 11 Interpreting Graphs and Proportional Relationships Topic C: Ratios and Rates Involving Fractions Ratios of Fractions and Their Unit Rates Representing Proportional Relationships Algebraically Representing Proportional Representing Proportional SLA 7.RP.2 Relationships Relationships Algebraically Focus 6: Writing and Graphing Proportional Relationships Calculating Unit Rates with Ratios of Fractions Identifying the Constant of Proportionality Focus 3: Identifying the Quicker Rate Lesson 12 Lesson 13 Lesson 14 Ratios of Fractions and Their Unit Rates Finding Equivalent Ratios Given the Total Quantity Multi-Step Ratio Calculating Unit Rates with Ratios of Fractions Focus 4: Determining Speed Using Fractional Values Lesson 15 of Graphs of Proportional Relationships Involving Topic D: Ratios of Scale Drawings Lesson 16 Lesson 17 Relating Scale Drawings to Ratios and Rates The Unit Rate as the Scale Factor Scale Drawings Lesson 18 Compute actual lengths of a scale drawing. Focus 1: Understanding the Relationships Between Proportionality and Scale Drawings Scale Drawings Scaled Figures Understanding Proportional Reasoning and Scale Drawings Focus 3: Identifying a Scale Drawing or an Actual Image Given a Scale Factor Applying Proportional Reasoning to Scale Drawings Lesson 19 Computing actual areas of a scale drawing. Scale Drawings Picture Perfect Page 2

3 EngageNY Module 1: Ratios and Proportional Relationships Lesson 20 Create a scale drawing given a top-view. Focus 2: Understanding Scale Factor and the Impact of Scale on Side Lengths and Area Scale Drawings SLA 7.G.1 Lesson 21 Lesson 22 Create a scale drawing of a different scale given a scale drawing. Create a scale drawing of a different scale given a scale drawing. Focus 5: Applying Scale to Identify Dimensions and Area Scale Drawings Focus 4: Reproducing Scale Drawings Using Different Scales Page 3

4 EngageNY Module 2: Rational Lesson 1 Topic A: Addition and Subtraction of Integers and Rational Opposite Quantities Combine to Make Zero Reasoning Rationally: Addition and Subtraction of Rational Focus 2: Opposites Attract: Understanding Additive Inverses Lesson 2 Using the Number Line to Model the Addition of Integers Understanding and Identifying Opposite Quantities Reasoning Rationally: Addition and Subtraction of Rational Focus 1: A Number and Its Opposite: Adding Opposites on the Number Line Opposite Identifying Opposite Using a Number Line Find Opposite Integers Lesson 3 Understanding Addition of Integers Reasoning Rationally: Addition and Subtraction of Rational Hole Focus 4: Thrilling Addition: Using a Number Line to Find the Sum Lesson 4 Lesson 5 Efficiently Adding Integers and Other Rational Understanding Subtraction of Integers and Other Rational Understanding Addition of Rational Reasoning Rationally: Addition and Subtraction of Rational Focus 5: It's All the Same: Identifying Equivalent Expressions Adding Rational Addition and Subtraction of Rational Using a Number Line Lesson 6 The Distance Between Two Rational Understanding Subtraction of Rational Reasoning Rationally: Addition and Subtraction of Rational Subtracting Rational Addition and Subtraction of Rational Using a Number Line Focus 6: Finding the Difference to Go the Distance Lesson 7 Addition and Subtraction of Rational Applying Addition and Subtraction to Rational Reasoning Rationally: Addition and Subtraction of Rational Applying Addition and Subtraction to Rational Addition and Subtraction of Rational Using a Number Line SLA 7.NS.1 Focus 7: Finding the Right Balance Lesson 8 Applying the Properties of Operations to Add and Subtract Rational Lesson 9 Applying the Properties of Operations to Add and Subtract Rational Topic B: Multiplication and Division of Integers and Rational Page 4

5 EngageNY Module 2: Rational Lesson 10 Understanding Multiplication of Integers Reasoning Rationally: Multiplication and Division of Rational Focus 1: Multiplying Negative and Positive Integers Lesson 11 Develop Rules for Lesson 12 Multiplying Signed Division of Integers Understanding Division of Integers Reasoning Rationally: Multiplication and Division of Rational Understanding Division of Integers Understanding Division of Integers Multiply and Divide Integers Focus 3: Establishing the Rules for Dividing Integers Lesson 13 Lesson 14 Converting Between Fractions and Decimals Using Equivalent Converting Rational to Decimals Using Long Division Reasoning Rationally: Multiplication and Division of Rational Focus 6: Writing the Quotient as a Decimal and Identifying Terminating and Repeating Decimals Lesson 15 Multiplication and Division of Rational Applying Division to Integers and Fractions Applying Multiplication and Division to Rational Reasoning Rationally: Multiplication and Division of Rational Focus 4: Dividing Rational Values Dividing Rational Understanding Division of Integers Understanding Multiplication of Integers Dividing Two Fractions Dividing Fractions and Whole Understanding Division of Integers Applying Multiplication and Division to Rational Lesson 16 Applying the Properties of Operations to Multiply and Divide Rational. Understanding Multiplication of Fractions Applying Multiplication to Integers and Fractions Reasoning Rationally: Multiplication and Division of Rational Focus 5: Multiplying and Dividing Negative Understanding Multiplication of Fractions Understanding Multiplication of Fractions Applying Multiplication to Integers and Fractions Topic C: Applying Operations with Rational to Expressions and Lesson 17 Use tape diagrams to solve equations. Comparing Algebraic Solutions to Arithmetic Solutions Solving Multi-Step Algebraic Identifying Consecutive Comparing Algebraic and Arithmetic Strategies Page 5

6 EngageNY Module 2: Rational Focus 1: Comparing Algebraic and Solving Multi-Step Arithmetic Strategies Algebraically Lesson 18 Write and evaluate equivalent expressions with rational numbers Identifying Multiple Forms of an Expression Writing Equivalent Expressions to Interpret Quantities within a Context Focus 5: Writing Equivalent Expressions with Multiple Variables Given a Context Finding Multiple Forms of an Expression Identifying Multiple Forms of an Expression SLA 7.EE.2 Lesson 19 Write and evaluate equivalent expressions with rational numbers Writing Equivalent Expressions to Interpret Quantities within a Context Focus 3: Interpreting Equivalent Expressions in Terms of a Context Lesson 20 Lesson 21 Lesson 22 Make calculations with rational numbers to solve problems related Use the properties of equality to write an equivalent number Solve equations by using algebraic properties. Solving Multi-Step with Fractions and Decimals Solving Multi-Step Algebraic Solving Multi-Step with Fractions and Decimals Solving and Using Substitution SLA 7.EE.4 Focus 5: Solving Multi-Step with Rational Lesson 23 Solve equations by using algebraic properties. Page 6

7 EngageNY Module 3: Expressions and Topic A: Use Properties of Operations to Generate Equivalent Expressions Lesson 1 Generate equivalent expressions using algebraic properties. Lesson 2 Generate equivalent expressions using algebraic properties. Lesson 3 Use models to write products as sums and sums as products. Lesson 4 Use models to write products as sums and sums as products. Lesson 5 Use the identity properties to write equivalent Lesson 6 Rewrite rational number expressions by collecting like terms and using the Solve & Expand: Linear Expressions with Rational Coefficients Expanding and Factoring Linear Expressions with Rational Coefficients Focus 4: Writing an Equivalent Expression Using the Distributive Property and Combining Like Terms Focus 5: Equivalent Expressions with Multiple Variables Understanding Algebraic Expressions Solving Expressions with Rational Coefficients The Distributive Property Topic B: Solve Using Expressions,, and Inequalities Lesson 7 Understand equations and solve word problems with Solving Multi-Step Algebraic Focus 2: Using Algebraic Expressions to Solve Solve 1-Step Lesson 8 Use the properties of equality to solve equations. Solve equations with rational Solving One-Step : Addition and Subtraction Solving One-Step : Multiplication and Division Solving Multi-Step Algebraic Focus 4: Writing and Solving Two-Step Solving One-Step Addition and Subtraction Solving One-Step Multiplication and Division Solving One-Step Linear Solving and Word Using to Solve Word Solving Multi-Step Algebraically Solving and Using Substitution Reviewing One-Step Linear Identifying Consecutive Page 7

8 EngageNY Module 3: Expressions and Lesson 9 Use the properties of equality to solve equations. Solve equations by rewriting Solving Multi-Step Solving Multi-Step with Integers with Fractions and Solving Multi-Step with Fractions and Decimals Solving Multi-Step Algebraic Focus 5: Solving Multi-Step with Rational Solving Multi-Step with Fractions and Solving and Using Substitution Solve with Variables on Both Sides Lesson 10 Use equations to determine an unknown angle in a figure. Solving with Angles Focus 4: Solving Multi-Step with Angles Lesson 11 Use equations to determine an unknown angle in a figure. Solving with Angles Focus 5: Solving Word with Angles SLA 7.G.5 Lesson 12 Understand and justify the properties of inequalities. Solving Multi-Step Algebraic Inequalities Focus 3: Multiplying and Dividing Inequalities by Negative Multiply and Divide Integers Lesson 13 Understand and interpret inequalities. Solving Multi-Step Algebraic Inequalities Focus 5: Solving Word with Algebraic Inequalities Focus 4: Translating Verbal Expressions into Algebraic Inequalities Lesson 14 Solve word problems involving inequalities and rational numbers. Solving Multi-Step Algebraic Inequalities Focus 2: Using Inverse Operations to Solve Algebraic Inequalities Lesson 15 Graph solutions to inequalities and interpret the solution. Solving Multi-Step Algebraic Inequalities Focus 1: Understanding Solution Sets to Inequalities Topic C: Use and Inequalities to Solve Geometry Lesson 16 Understand the definition of a circle and approximate pi. Area and Circumference of Circles Page 8

9 EngageNY Module 3: Expressions and Focus 1: Introduction to Circles Focus 2: Discovering Pi and the Formula for Circumference Lesson 17 Find the area of a circle and solve problems. Area and Circumference of Circles Focus 5: Discovering the Formula for the Area of a Circle Focus 6: Finding the Area of a Circle Lesson 18 Solve area and perimeter problems with shapes involving circles, semicircles, and Area and Circumference of a Circle Area and Circumference of Circles Focus 7: Finding the Area of a Circle in Context Circumference of a Circle Area of a Circle Understanding and Identifying Area and Circumference of a Circle SLA 7.G.4 Lesson 19 Lesson 20 Lesson 21 Lesson 22 Lesson 23 Lesson 24 Lesson 25 Lesson 26 Find the areas of polygonal regions on Find composite areas of simple polygonal regions on the Find the surface area of three-dimensional objects. Find the surface area of three-dimensional objects, specifically Determine the volume of right prisms. Determine the volume of right prisms and Determine volume and surface area of threedimensional solids. Determine volume and surface area of threedimensional solids. Finding Area Area, Volume, and Surface Area Area of Parallelograms & Triangles Focus 2: Finding the Area of a Figure in Context Finding Surface Area Area, Volume, and Surface Area Finding the Surface Area of Prisms Focus 6: Finding the Surface Area of a Composite Figure in Context Understanding the Surface Area of a Cylinder Finding Volume Area, Volume, and Surface Area Finding the Volume of Square and Rectangular Pyramids Focus 4: Finding the Volume of Non- Rectangular Prisms Area, Volume, and Surface Area Focus 3: Finding a Cube's Dimensions and Surface Area from Its Volume Identifying Volume of a Rectangular Prism with Fractional Side Lengths Finding the Area of Composite Figures Finding Surface Area of 3-D Figures Using Nets Identifying Volume of Prisms and Pyramids Finding the Volume of Rectangular Prisms Page 9

10 EngageNY Module 4: Percent and Proportional Relationships Topic A: Finding the Whole Lesson 1 Lesson 2 Lesson 3 Lesson 4 Lesson 5 Understand percents and convert between fraction, decimals, and Solve percent problems using expressions, Comparing Quantities with Percent Percent Increase and Decrease Finding One Hundred Percent Given Another Percent Solving Multi-Step Ratio and Percent Focus 1: Using Algebraic to Answer Percent Solving Multi-Step Ratio and Percent Focus 6: Solving with Percent Increase Solving Multi-Step Ratio and Percent Focus 2: Discounts at the Register Lesson 6 Fluency with Percents Topic B: Percent Including More Than One Whole Lesson 7 Markup and Markdown Lesson 8 Percent Error Representing Proportional Relationships Algebraically Solving Multi-Step Ratio and Percent Identifying the Constant of Proportionality Representing Proportional Relationships Algebraically SLA 7.RP.3 Lesson 9 Problem Solving When the Percent Changes Focus 8: Percent Error Lesson 10 Simple Interest Calculating Percent Solving Multi-Step Ratio and Percent Focus 7: Simple Interest Proportional Reasoning Percent Relationships Proportional Reasoning With Percents Lesson 11 Tax, Commissions, Fees, and Other Real- World Percent Proportional Reasoning with Percents Properties of Operations: Rational Word Solving Multi-Step Ratio and Percent Focus 4: Solving Word Involving Commission Proportional Reasoning Solving Multi-Step Involving Order of Operations Proportional Reasoning With Percents Understanding Proportions Page 10

11 EngageNY Module 4: Percent and Proportional Relationships Understanding Multi-Step Applying Properties of Operations to Rational Focus 5: Estimating the Bill Comparing Algebraic and Arithmetic Strategies Focus 4: Calculating the Sale Price Topic C: Scale Drawings Lesson 12 Use the scale factor as a percent for a scale drawing. Scale Drawings Focus 1: Understanding the Relationships Between Proportionality and Scale Drawings Lesson 13 Given two or three drawings, compute the related scale factor. Scale Drawings Focus 4: Reproducing Scale Drawings Using Different Scales Lesson 14 Compute the lengths of an actual picture given a scale drawing. Proportional Reasoning with Scale Drawings Scale Drawings Scaled Figures Understanding Proportional Reasoning and Scale Drawings Focus 3: Identifying a Scale Drawing or an Actual Image Given a Scale Factor Applying Proportional Reasoning to Scale Drawings Lesson 15 Solve area problems related to scale drawings and percents. Scale Drawings Focus 2: Understanding Scale Factor and the Impact of Scale on Side Lengths and Area Topic D: Population, Mixture, and Counting Involving Percents Lesson 16 Solve percent word problems related to populations of people Lesson 17 Solve percent word problems related to mixtures. Lesson 18 Solve counting problems related to computing percents. Page 11

12 EngageNY Module 5: Statistics and Probability Topic A: Calculating and Interpreting Probabilities Lesson 1 Understand probability is a number between 0 and 1 that represents Introduction to Probability Focus 1: Understanding Likelihood Focus 2: Representing Likelihood with a Number Lesson 2 Estimate probabilities by collecting data. Experimental Probability and Relative Frequency Focus 5: Using Probability Models to Make Predictions Lesson 3 Chance experiments and equally likely outcomes. Experimental Probability and Relative Frequency Focus 1: Statistical Experiments Lesson 4 Calculate probabilities for chance experiments with Theoretical Probability Models: Simple Events Focus 4: Differentiating Between Uniform and Non-Uniform Probability Models Lesson 5 Calculate probabilities for chance experiments with outcomes that are not Using Uniform Models to Calculate Probability Theoretical Probability Models: Simple Events Focus 2: Identifying Favorable Outcomes and Calculating Probabilities Probability Models Using Uniform and Non- Uniform Models to Calculate Probability Focus 5: Understanding Complimentary Events Lesson 6 Use tree diagrams to represent a sample space and calculate Identifying the Probability of Compound Events Theoretical Probability: Compound Events Focus 4: Using a Tree Diagram to Diagram Compound Events with Equally Likely Outcomes Finding the Probability of Compound Events Understanding Sample Space Understanding Compound Events Lesson 7 Calculate probabilities of compound events. Theoretical Probability: Compound Events Focus 5: Using Multiplication to Find the Probability of Compound Events Page 12

13 EngageNY Module 5: Statistics and Probability Focus 6: Multiplying to Find Probabilities of Compound Events with Outcomes That Are Not Equally Likely Topic B: Estimating Probabilities Lesson 8 Understand the difference between theoretical probabilities Experimental Probability and Relative Frequency Focus 4: What Happens When Trial Size Increases? Lesson 9 Lesson 10 Lesson 11 Compare estimated probabilities to probabilities predicted Conduct a simulation to estimate the probability of an event. Design simulations and estimate the probability of an event. Theoretical Probability: Compound Events Focus 8: Create a Simulation to Model Compound Events Flip to Win SLA 7.SP.8 Lesson 12 Make informed decisions and determine if a given Topic C: Random Sampling and Estimating Population Characteristics Lesson 13 Differentiate and generalize from a sample to a population. Populations and Samples Focus 1: Recognizing the Difference between a Sample and Its Population Lesson 14 Lesson 15 How to select a sample. Select a random sample from a population and Populations and Samples Focus 2: How to Determine If a Sample Represents Its Population Focus 3: Knowing That Representative Samples Must Be Generated Randomly Populations and Samples Focus 5: Using Population Characteristics and Sample Statistics to Make Valid Claims Page 13

14 EngageNY Module 5: Statistics and Probability Lesson 16 Lesson 17 Lesson 18 Lesson 19 Lesson 20 Methods for selecting a random sample. Understand sampling variability and use data from a random sample Estimate a population mean and understand the effect of a sample size. Understand variability when estimating a population proportion. Use data to estimate a population proportion. Creating and Using Random Samples to Draw Inferences and Analyze Sampling Variability Focus 1: Determining Methods for Generating a Random Sample Creating and Using Random Samples to Draw Inferences and Analyze Sampling Variability Focus 4: Examining the Variability of Multiple Samples of the Same Size Creating and Using Random Samples to Draw Inferences and Analyze Sampling Variability Focus 5: Verifying Random Sampling by Comparing the Shape and Center of Sample Data to the Population Topic D: Comparing Populations Lesson 21 Understand a meaningful difference between two sample means. Understanding Overlap of Data Distributions Comparing Two Data Sets Focus 1: Visually Comparing Two Dot Plots that Overlap Comparing Two Data Sets: Mean & Mad Understanding Mean and Mean Absolute Deviation Graphically Understanding the Interquartile Range and Median Graphically SLA 7.SP.3 Focus 2: Visually Comparing Two Dot Plots with No Overlap Focus 4: Diving into Difference - Understanding the MAD Focus 5: Numerically Comparing Two Data Sets Focus 6: When is the Difference in Two Means Meaningful? Lesson 22 Use data from random samples to compare the means of two or Comparing Two Populations by Interpreting Sample Data Page 14

15 EngageNY Module 5: Statistics and Probability Focus 1: Visually Comparing Two Sample Distributions to Make Inferences about a Population Lesson 23 Use sample data to draw informal inferences about the difference in Measures of Center and Variability to Draw Inferences Comparing Two Populations by Interpreting Sample Data Focus 4: Investigating If Two Populations Are Distinct by Comparing Sample Means and MAD Values Comparing Two Data Sets: Median & IQR Comparing Two Data Sets: Mean & Mad Finding the Measures of Center and Variability of Data Sets SLA 7.SP.4 Focus 5: Numerically Comparing Sample Means and MAD Values to Determine If Two Populations Are Different Page 15

16 EngageNY Module 6: Geometry Topic A: Unknown Angles Lesson 1 Lesson 2 Lesson 3 Lesson 4 Solve for unknown angles involving complementary and Solve for unknown angles in diagrams and context involving Solve for unknown angles using all learned angle facts. Solve for unknown angles using all learned angle facts. Solving with Angles Focus 1: Identifying Vertical and Adjacent Angles Focus 2: Complementary and Supplementary Angles Solving with Angles Focus 3: Solving with Complementary and Supplementary Angles Solving with Angles Focus 4: Solving Multi-Step with Angles Solving with Angles Focus 5: Solving Word with Angles Topic B: Constructing Triangles Lesson 5 Lesson 6 Lesson 7 Use a triangle correspondence to recognize when two Use a compass, protractor, and ruler to draw geometric Draw parallelograms with given conditions. Constructing Triangles and Quadrilaterals Angle Wranglin' SLA 7.G.2 Focus 10: Constructing a Quadrilateral Lesson 8 Draw triangles using different criteria. Constructing Triangles and Quadrilaterals Focus 4: Understanding Unique Triangles Focus 5: Understanding Constructions Given a Combination of Angles and Sides Page 16

17 EngageNY Module 6: Geometry Lesson 9 Understand that two triangles are identical if three sides or two Constructing Triangles and Quadrilaterals Focus 7: Constructing a Triangle, Given 2 Sides and 1 Included Angle Lesson 10 Lesson 11 Lesson 12 Lesson 13 Lesson 14 Understand that two triangles are identical if two angles and a given Understand the conditions on measurements that Understand that two sides and a nonincluded angle may not Check if two triangles are identical. Check if two triangles are identical. Constructing Triangles and Quadrilaterals Focus 6: Constructing a Triangle, Given 2 Angles and an Included Side Constructing Triangles and Quadrilaterals Focus 3: Will Any 3 Lengths Form a Triangle? Constructing Triangles and Quadrilaterals Focus 9: Do 2 Side Lengths and a Non- Included Angle Determine Uniqueness? Lesson 15 Topic C: Slicing Solids Use unique triangles to solve real-world problems. Lesson 16 Slice a right rectangular prism by a plane perpendicular to Slicing Three-Dimensional Figures Focus 2: Parallel and Perpendicular Cuts to a Right Rectangular Prism Lesson 17 Slice a right rectangular pyramid by a plane perpendicular to the base or parallel Plane Sections of Rectangular Prisms and Pyramids Slicing Three-Dimensional Figures Focus 3: Parallel and Perpendicular Cuts to a Right Rectangular Pyramid Cross Sections of Pyramids and Prisms Plane Sections of Rectangular Prisms and Pyramids Lesson 18 Slice a right rectangular prism or pyramid by a plane not Slicing Three-Dimensional Figures Focus 4: Non-Parallel and Non- Perpendicular Cuts to Right Rectangular Prisms SLA 7.G.3 Page 17

18 EngageNY Module 6: Geometry Lesson 19 Describe 3D figures built from cubes. Focus 5: Non-Parallel and Non- Perpendicular Cuts to Right Rectangular Pyramids Topic D: Involving Area and Surface Area Lesson 20 Determine the area of composite figures in real-life context. Finding Area Area, Volume, and Surface Area Area of Parallelograms & Triangles Focus 2: Finding the Area of a Figure in Context Area of Trapezoids Finding the Area of Composite Figures Lesson 21 Lesson 22 Use area properties to justify the distributive property to expand the Find the area of composite figures and of missing regions. Area and Circumference of a Circle Area and Circumference of Circles Circumference of a Circle Understanding and Identifying Area and Circumference of a Circle Focus 7: Finding the Area of a Circle in Context Area of a Circle Lesson 23 Find the surface area of 3D figures. Area, Volume, and Surface Area SLA 7.G.6 Focus 6: Finding the Surface Area of a Composite Figure in Context Lesson 24 Find the surface area of 3D figures. Topic E: Involving Volume Lesson 25 Volume of Right Prisms Finding Volume Area, Volume, and Surface Area Finding the Volume of Square and Rectangular Pyramids Identifying Volume of Prisms and Pyramids Focus 4: Finding the Volume of Non- Rectangular Prisms Identifying Volume of a Rectangular Prism with Fractional Side Lengths Finding the Volume of Rectangular Prisms Lesson 26 Volume of Composite Three-Dimensional Objects Finding Area, Volume, Surface Area of Composite Figures Area, Volume, and Surface Area Finding the Volume of Composite Figures Identifying Volume and Surface Area of Composite Figures Focus 5: Finding the Volume of a Composite Figure Finding the Surface Area of Prisms Effects of Changing Dimensions on Volume and Surface Area Page 18

19 EngageNY Module 6: Geometry Lesson 27 Real-World Volume Finding the Surface Finding the Area of Area of Composite Composite Figures Figures Area of Parallelograms & Triangles Identifying Perimeter of Composite and Non- Composite Figures Page 19