7th Grade MCSD Curriculum Map (June 2014)

Oregon Focus Book 1

Rational Numbers & Equations

August- November

Prior Grade Level Content (Pre-Requisite)

CCSS Grade Level Content (Original Text)

CCSS Grade Level Content (Companion Text)

Future Grade Level Content (Extension)

Mathematical Practices:

MP1 Make sense of problems and persevere in solving them. MP2 Reason abstractly and quantitatively. MP3 Construct viable arguments and critique the reasoning of others. MP4 Model with mathematics. MP5 Use appropriate tools strategically. MP6 Attend to precision. MP7 Look for and make use of structure. MP8 Look for and express regularity in repeated reasoning.

Unit 1 (Block 1) – Positive Rational Numbers

Oregon Focus Lessons Recommended Pacing – 12 days

Lesson Lesson Title CCSS Resources Engage NY

1 Simplifying Fractions

4.NF.1 Khan Academy – Fractions in lowest terms Equivalent fractions

2 Mixed Numbers and Improper Fractions

4.NF.1 Khan Academy Converting Mixed Numbers to Improper Fractions Mixed numbers and improper fractions Proper and Improper Fractions

3 Add and subtract fractions with and without common denominators

5.NF.1 5.NF.2

Study Island – 2007 Grade 5 Adding & Subtracting Fractions Khan Academy – Adding Fractions with Like Denominators Adding Fractions with Unlike

Denominators Subtracting Fractions Adding and subtracting fractions

4 Multiplying and Dividing Fractions

6.NS.1 5.NF.6

Study Island- 2007 Grade 6 Multiplication & Division of Fractions Khan Academy- Multiplying Fractions Dividing fractions Dividing Fractions Word Problem

Gr 6 - Module 2 – Topic A

Lessons 1-2: Interpreting Division of a Whole Number by a fraction – Visual Models Lessons 3-4: Interpreting and Computing Division of a Fraction by a Fraction – More Models Lesson 5 :Creating Division Stories Lesson 6: More Division Stories Lesson 7: The Relationship Between Visual Fraction Models and Equations Lesson 8: Dividing Fractions and Mixed Numbers

5 Operations with Mixed Numbers

6.NS.1 5.NF.1

Khan Academy Adding Mixed Numbers with Unlike Denominators Subtracting Mixed Numbers Subtracting Mixed Numbers 2 Adding Mixed Numbers Word Problem Multiplying Fractions and Mixed Numbers Dividing Mixed Numbers and Fractions Multiplying Mixed Numbers Dividing Mixed Numbers and Fractions

6 Adding and Subtracting Decimals

6.NS.3 Study Island – 2002 Grade 5 - Addition &

Subtraction – both decimals and fractions. 2002 Grade 5 - Multiplication & Division – just decimals Khan Adacemy – Adding Decimals Subtracting Decimals Multiplying Decimals Dividing Decimals

Gr 6 - Module 2 – Topic B

Lesson 9: Sums and Differences of Decimals Lesson 10: The Distributive Property and Products of Decimals Lesson 11 Fraction Multiplication and the Products of Decimals.

Gr 6 – Module 2 – Topic C Lesson 12: Estimating Digits in a Quotient Lesson 13: Dividing Multi-Digit Numbers Using the Algorithm Lesson 14: The Division Algorithm – Converting Decimal Division into Whole Number Division Using Fractions. Lesson 15: The Division Algorithm – Converting Decimal Division into whole Number Division Using Mental Math.

7 Multiplying and Dividing Decimals

6.NS.3

Unit 2 (Block 2) – Integers

Oregon Focus Lessons Recommended pacing – 15 days Common Assessments - Block 2 Form B along with problem solving work sample at end of unit lessons.

Lesson Lesson Title CCSS Resources Engage NY

8 Understanding Integers - locate integers on a numbers line and their opposites. Find the absolute value of numbers.

6.NS.5 Khan Academy – Absolute value Absolute Value of Integers

Gr 6 – Module 3 – Topic A Lesson 1: Positive and Negative Numbers on the Number Line-Opposite Direction and Value Lesson 2 – 3: Real World Positive and Negative Numbers and Zero.

9 Comparing Integers

6.NS.7 Khan Academy Ordering Negative Numbers

Gr 6 – Module 3 – Topic B Lesson 7-8: Ordering Integers and Other Rational Numbers Lesson 9: Comparing Integers and Other Rational Numbers Lesson 10: Writing and Interpreting Inequality Statements Involving Rational Numbers Lesson 11: Absolute Value-Magnitude and Distance Lesson 12: The Relationship Between Absolute Value and Order Lesson 12: Statements of Order in the Real World

10 Adding Integers

7.NS.1 7.NS.3

Study Island – Adding Integers, Subtracting Integers Khan Academy – Adding integers with different signs Integer sums Negative numbers Adding Negative Numbers Adding/Subtracting negative numbers

Gr 7 - Module 2 - Topic A Lesson 1: Opposite Quantities Combine to Make Zero Lesson 2: Using the Number Line to Model the Addition of Integers Lesson 3: Understanding Addition of Integers Lesson 4: Efficiently Adding Integers and Other Rational Numbers. Lesson 5: Understanding Subtraction of Integers and Other Rational Numbers Lesson 6: The Distance Between Two Rational Numbers Lesson 7: Addition and Subtraction of Rational Numbers Lesson 8-9: Applying the Properties of Operations to Add and Subtract Rational Numbers.

11 Subtracting Integers 7.NS.1 7.NS.3

12 Multiplying Integers

7.NS.2 7.NS.3

Gr 7 – Module 2 - Topic B Lesson 10: Understanding Multiplication of Integers Lesson 11: Develop Rules for Multiplying Signed Numbers Lesson 12: Division of Integers

13 Dividing Integers

7.NS.2 7.NS.3

Study Island – 2007 Grade 7 Compute with Integers Mulitplying Integers

Dividing Integers Mixed Operations of Integers Khan Academy – Multiplying and dividing negative numbers

Lesson 13: Converting Between Fractions and Decimals Using Equivalent Fractions Lesson 14: Converting Rational Numbers to Decimals Using Long Division Lesson 15: Multiplication and Division of Rational Numbers Lessons 16: Applying the Properties of Operations to Multiply and Divide Rational Numbers.

14 Powers and Exponents 7.NS.2 7.NS.3

15 Order of Operations

7.NS.3 Study Island –

2007 Grade 6 - Order of Operations Math Common Core Grade 7 Properties of Addition & Subtraction Properties of Multiplication & Division Compute with Rational Numbers Single-Step Real World Problems Khan Academy – Order of operations More Complicated Order of Operations Example Order of Operations 1

Unit 3 (Block 3) Rational Number Operations

Oregon Focus Lessons Recommended Pacing 10 days

Lesson Lesson Title CCSS Resources Engage NY

16 Estimating Sums and Differences 7.NS.1 7.NS.3

Study Island – 2007 grade 7 Compute with Rational Numbers Study Island – 2007 grade 7 Compute with Rational Numbers

Gr 7 – Module 2 –

Topic A and Topic B has these skills embedded within lessons posted above in Unit 1 and Unit 2

17 Adding Rational Numbers 7.NS.1 7.NS.3

18 Subtracting Rational Numbers 7.NS.1 7.NS.3

19 Estimating Products and Quotients

7.NS.2 7.NS.3

Study Island 2007 Grade 7 Compute with Rational Numbers Estimate Solutions Common Core Grade 7 Compute with Rational Numbers

20 Multiplying Rational Numbers 7.NS.2 7.NS.3

21 Dividing Rational Numbers 7.NS.2 7.NS.3

Unit 4 (Block 4) – Solving Equations

Oregon Focus Lessons Recommended Pacing 15 Days

Lesson Lesson Title CCSS Resources Engage NY

22 Expressions and Equations 6.EE.2 7.EE.1

Study Island – 2007 Grade 6 Evaluate Expressions Equivalent Expressions Common Core Grade 7 Linear Expressions Khan Academy- Variables Expressions and Equations Variables and Expressions 1

Gr 7 – Module 3 Lessons 1-2: Generating Equivalent Expressions

23 Solving One-Step Equations 6.EE.7 7.NS.1 7.NS.2

Study Island –2007 Grade6 Inverse Relationships Solve Equations Common Core Grade 7 Single-Step Real World Problems Khan Academy – Simple Equations Solving One-Step Equations Solving One-Step Equations 2

Gr 7 – Module 2 Lessons 22-23: Solving Equations Using Algebra

24 Solving Two-Step Equations 7.EE.3 7.EE.4a

Study Island –Common Core Grade 7 Multi-Step Real World Problems Khan Academy – Algebra: Linear Equations 2 Solving Equations 1 Two-Step Equations

Gr 7 – Module 3 Lessons 3-4: Writing Products as Sums and Sums as Products Lesson 5: Using the Identity and Inverse to Write Equivalent Expressions. Lesson 6: Collecting Rational Number Like Terms. Gr 7 – Module 3 Lessons 7: Understanding Equations Lessons 8-9: Using the If-Then Moves in Solving Equations. Lessons 10-11: Angel Problems and Solving Equations Lessons 12: Properties of Inequalities Lessons 13: Inequalities Lessons 14: Solving Inequalities Lessons 15: Graphing Solutions to Inequalities.

25 The Distributive Property 7.EE.1 7.EE.2 7.EE.4a

Khan Academy – Solving Equations with the Distributive Property

26 Simplifying Expressions 7.EE.1 7.EE.2

Khan Academy – Solving equations with the distributive property 2

27 Simplifying and Solving Equations

7.EE.3 7.EE.4a

Study Island –Common Core Grade 7 Symbolize & Solve Equations Khan Academy – Algebra: Linear Equations 3 Algebra: Linear Equations 4 Equation Special Cases

28 Solving Equations with Variables on Both Sides

7.EE.3

Khan Academy – Equations 3 Equations with Variables on Both Sides

Multi-Step Equations Multi-step equations 1 Multi-step equations 2

2-A Linear Inequalities 7.EE.4b Study Island –Common Core Grade 7 Symbolize & Solve Inequalities Study Island – Common Core Grade 7 Symbolize & Solve Inequalities Khan Academy – Solving linear inequalities Inequalities on a number line Equations and Inequalities Solving Inequalities Writing and using inequalities

Unit 5 – Oregon Focus Companion Text Angle Relationships

Recommended Pacing 6 days

Lesson Lesson Title CCSS Resources Engage NY

2-B Measuring and Naming Angles 4.MD.5 4.MD.6

2-C Classifying Angles 4.MD.5 4.MD.6 4.MD.7

2-D Complementary and Supplementary Angles

7.G.5

Gr 7 – Module 6 Lesson1: Complementary and Supplementary Angles Lessons 2-4: Solve for Unknown Angles using Equations.

2-E Vertical Angles and Adjacent Angles

7.G.5

Proportionality

December – ½ of March

Prior Grade Level Content (Pre-Requisite)

CCSS Grade Level Content (Original Text)

CCSS Grade Level Content (Companion Text)

Future Grade Level Content (Extension)

Mathematical Practices: MP1 Make sense of problems and persevere in solving them. MP2 Reason abstractly and quantitatively. MP3 Construct viable arguments and critique the reasoning of others. MP4 Model with mathematics. MP5 Use appropriate tools strategically. MP6 Attend to precision. MP7 Look for and make use of structure. MP8 Look for and express regularity in repeated reasoning.

Unit 6 (Block 1) – Ratios and Rates

Oregon Focus Recommended Pacing 8 days

Lesson Lesson Title CCSS Resources Engage NY

1 Measurement 6.RP.3d BMCC math 25 Chapter 9 sections 9.1-9.6 Study Island – 2007 Grade 7 Convert Units Khan Academy Unit conversion Converting units of length Conversion between metric units Customary and Metric units Converting within the metric system Converting Gallons to quarts pints and cups Converting pounds to ounces Comparing Celsius and Farenheit temperature scales Converting Farenheit to Celsius

2 Fractions and Decimals 7.NS.2d BMCC math 25 section 5.5

3 Ratios 6.RP.1 BMCC Math25 – sections 6.1 Introduction to Ratios

Gr 6 - Module 1 – Topic A Lessons 1-2: Ratios

Study Island – Khan Academy – Basic ratios and proportions Punchline Problem Solving with Ratio and Proportion (Ratio) pg 103

Lessons 3-4: Equivalent Ratios Lessons 5-6: Solving Problems by Finding Equivalent Ratios Lessons 7: Associated Ratios and the Value of a Ratio Lesson 8: Equivalent Ratios Defined Through the Value of a Ratio

4 Unit Rates 7.RP.1 Study Island – common Core grade 7 Unit Rates, Ratios & Proportions BMCC Math25 – sections 6.2 Rates and Unit rates Khan Academy – Simplifying Rates and Ratios

Gr 7 – Module 1 – Topic C Lesson 11-12: Ratios of Fractions and Their Unit Rates

5 Rate Conversions HS.N-Q.1 Khan Academy - Finding Unit Rates Punchline Problem Solving with Ratio and Proportion (Rate) pgs 104, 105

2F Rates and Ratios with Complex Fractions

7.RP.1 section 6.1 –recognizes ratios and rates within word problems. Section 6.2 – word problems finding the rate and ratios using fractions and decimals. Khan Academy – Ratios as Fractions in Simplest Form

Gr 7 – Module 1 – Topic C Lesson 11-12: Ratios of Fractions and Their Unit Rates

Unit 7 (Block 2) – Proportions and Similarity

Oregon Focus Recommended Pacing – 12 days

Lesson Lesson Title CCSS Resources Engage NY

6 Write and Solve Proportions 7.RP.2 7.RP.3

Study Island Common Core Grade 7 - Ratios & Proportions BMCC Math25 section 6.3 Punchline Bridge to Algebra pg 88 Khan Academy Understanding Proportions

Gr 7 – Module 1 Lesson 1: An Experience in Relationships as Measuring Rate. Lesson 2: Proportional Relationships Lesson 7: Unit Rate as the Constant of Proportionality. Lessons 8-9: Representing Proportional Relationships with Equations.

7 Problem-Solving with Proportions

7.RP.3 Khan Academy – Find an Unknown in a Proportion 2 BMCC Math25 section 6.4 Punchline- Bridge to Algebra pg 89, 90, 91 Punchline – Problem Solving pg 106, 109, 110

8 Similar and Congruent Figures 8.G.2 8.G.4

Study Island Common Core Grade 7 Scale Drawings Study Island 2007 Grade 7 Similarity & Congruence Punchline-Bridge to Algebra pg 144, 145

9 Proportions and Similar Figures 7.RP.3 BMCC Math25 section 6.5 Punchline-Bridge to Algebra pg 144, 145

Module 1 Lesson 16: Relating Scale Drawings to Ratios and Rates Lesson 17: The Unit Rate as the Scale Factor

Lesson 18: Computing Actual Length from a Scale Drawing Lesson 19: Computing Actual Areas from a Scale Drawing Lesson 20: An Exercise in Creating a Scale Drawing

10 Special Ratios for Similar Figures 7.G.1 Punchline-Problem Solving Scale Drawings pg 107 Punchline –Problem Solving –Similar Figures 108

11 Scale Drawings 7.G.1

Unit 8 (Block 3) – Percents and Probability

Oregon Focus Recommended Pacing – 15 Days

Lesson Lesson Title CCSS Resources Engage NY

12 Fractions, Decimals and Percents 6.RP.3 BMCC Math25 sections 7.1 and 7.2 Study Island 2007 Grade 6 Percents Fractions, Decimals, & Percents Study Island Common Core Grade 7 Percents Algebra 1 –old text (Holt, Rinehart and Winston – 4.2 (percent problems)

13 Probability 7.SP.5 Study Island – 2007 Grade 6 Probability Study Island -2007 Grade 7 Probability Khan Academy – Probability Simple Probability Probability (part 1) Probability (part 2) Probability (part 3) Probability (part 4) Probability (part 5) Probability (part 6) Probability (part 7) Algebra 1 –old text (Holt, Rinehart and Winston – 4.3 (Introduction to Probability)

Gr 7 – Module 5 Lesson 1: Chance Experiments Lesson 2: Estimating Probabilities by Collecting Data Lesson 3: Chance Experiments with Equally Likely Outcomes Lesson 4: Calculating Probabilities for Chance Experiments with Equally Likely Outcomes. Lesson 5: Chance Experiments with Outcomes that Are Not Equally Likely Lesson 6: Using Tree Diagrams to Represent a Sample Space and to calculate Probabilities. Lesson 7: Calculating Probabilities of Compound Events Lesson 8: The Difference Between Theoretical Probabilities and

14 Use Probability to Predict 7.SP.6 7.SP.7

Punchline – Bridge to Algebra – pg 108 (Probability Study Island Common Core Grade 7 Probability Khan Academy - Coin Flipping Example Probability with Playing Cards and Venn Diagrams Events and Outcomes 1 Events and Outcomes 2 Events and Outcomes 3 Dependent Probability Example 1 Dependent Probability Example 2

Estimated Probabilities Lesson 9: Comparing Estimated Probabilities Predicted by a Model Lesson 10-11: Using Simulation to Estimate Probability Lesson 12: Using Probability to Make Decisions Gr 7 – Module – 5 Lesson 6: Using Tree Diagrams to Represent a Sample Space and to Calculate Probabilities. Lesson 7: Calculating Probabilities of Compound Events.

2-G Compound Probabilites Using Lists, Tree Diagam and Tables

7.SP.7

Punchline – Bridge to Algebra pg 109 (The counting Principle. Pg 110 (Independent and Dependent Events) Pg 111 (Permutations) Pg 112 (Combinations) Khan Academy – Addition Rule for Probability Compound Probability of Independent Events Independent Events 1 Independent Events 2 Independent Events 3

Punchline – Problem Solving Pg 135 - 137 (Meaning of Probability Pg 138 – ( Outcomes: rule of Counting) Pg 139 (Independent Events)

2-H Compound Probabilites Using Multiplication and Simulation

7.SP.7

15 Probabilities and Data Displays 7.SP.7 Punchline –Bridge to Algebra pgs 104- 105(circle graphs) Algebra 1 –old text (Holt, Rinehart and Winston - Pg 106 (histograms) Algebra 1 –old text (Holt, Rinehart and Winston – 4.5 (Graphing Data) 4.6 (Other Data Displays)

16 Solving Percents using Proportions

7.RP.3 Punchline – Bridge to Algebra Pg 88-89, 90-91 (Solving Proportions. Pg 94 (Percent of a Number) Pg 95-96, 97-98 (Problem Solving with Percents) Pg 99 (Percent Increase or Decrease)

Gr 7 – Module 4 Lesson 1: Percent Lesson 2: Part of a Whole as a Percent Lesson 3: Comparing Quantities with Percent Lesson 4: Percent Increase and Decrease

17 Solving Percents using Equations 7.RP.3

18 Percent of Change 7.RP.3

19 Percent Applications 7.RP.3

Punchline – Problem Solving pgs 111-123 BMCC Math 25 sections 7.3 and 7.4 (Solving Percent Problems Using Proportions.) 7.5 (Applications of Percents) 7.6 (Sales Tax, Commission, and Discount)

Lesson 5: Finding One-Hundred Percent Given Another Percent Lesson 6: Fluency with Percents. Lesson 7: Markup and Markdown Problems Lesson 8: Percent Error Problems Lesson 9: Problem-Solving when the Percent Changes Lesson 10: Simple Interest Lesson 11: Tax, Commissions, Fees, and Other Real-World Percent

Problems.

Unit 9 Sampling and Statistics

Oregon Focus Companion Text– Oregon Focus Recommended Pacing – 7 Days

Lesson Lesson Title CCSS Resources Engage NY

2-I Random Sampling 7.SP.1 Study Island – Common core Grade 7 Sampling Analysis

Gr 7 – Module 5 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 Lesson 17: Sampling Variability Lessons 18 Estimating a Population Mean Lesson 19: Understanding Variability When Estimating a Population Proportion.

2-J Inferences About a Population 7.SP.2

2-K Measures of Center and Variability in Two Data-Sets

7.SP.3 7.SP.4

Study Island Common Core Grade 7 Central Tendency & Variability

Unit 10 (Block 4) Direct Variation

Oregon Focus Recommended Pacing – 15 Days

Lesson Lesson Title CCSS Resources Engage NY

20 The Coordinate Plane 6.NS.8 Punchline – Bridge to Algebra pg 122 (the Coordinate Plane) Focus on Skills – Algebra Lesson 5 – pgs 15-17

Gr 6 – Module 3

21 Making Sense of Graphs 8.F.5 Study Island Common Core Grade 8 Functional Relationships

Gr 8 – Module 6

Linear vs. Nonlinear

22 Direct Variation Tables and Graphs

7.RP.2 Study Island Common Core Grade 7 Unit Rates Proportional Relationships

Gr 7 – Module 1 Lessons 3-4: Identifying Proportional and Non-Proportional Relationship in Table. Lessons 5-6: Identifying Proportional and Non-Proportional Relationships in Graphs. Lesson 10: Interpreting Graphs of Proportional Relationships

23 Direct Variation Equations 7.RP.2

24 Recognizing Direct Variation 7.RP.2

25 Writing Linear Equations 8.F.4 Study Island Common Core Grade 8 Functional Relationships

Gr 8 – Module 6

Surface Area & Volume

½ of March - May

Mathematical Practices: MP1 Make sense of problems and persevere in solving them. MP2 Reason abstractly and quantitatively. MP3 Construct viable arguments and critique the reasoning of others. MP4 Model with mathematics. MP5 Use appropriate tools strategically. MP6 Attend to precision. MP7 Look for and make use of structure. MP8 Look for and express regularity in repeated reasoning.

Unit 11 (Block 1) Two-Dimensional Geometry

Oregon Focus Recommended Pacing - 14 Days

Lesson Lesson Title CCSS Resources Engage NY

2-L Drawing Geometric Shapes 7.G.2 Gr 7 – Module 6 Lesson 5: Unique Triangles Lesson 6: Drawing Geometric Shapes Lesson 7: Drawing Parallelograms Lesson 8: Drawing Triangles

Lesson 9: Conditions for Unique Triangle-Three Sides and Two Sides and the Included Angle. Lesson 10: Conditions for a Unique Triangle-Two Angles and a Given Side Lesson 11: Conditions on Measurements that Determine a Triangle. Lesson 12: Unique Triangles-Two Sides and a non-Included Angles Lesson 13-14: Checking for Identical Triangles Lesson 15: Using Unique Triangles to Solve Real-World and Mathematical Problems.

1 Areas of Triangles and Parallelograms

7.G.6 Study Island Common Core Grade 7 2- & 3-Dimensional Figures BMCC Math25 sections 10.1 (Perimeter) 10.2 (Area: rectangles, squares, parralelograms, triangles, and trapezoids) Punchline – Bridge to Algebra Pg 152-153 (Area of Parallelograms, Triangles, and Trapezoids) Khan Academy – Perimeter and Area Basics Area and Perimeter Perimeter of a Polygon

Gr 7 – Module 6 Lesson 20: Real-World Area Problems

2 Area of a Trapezoid 7.G.6 Gr 7 – Module 3 Lesson 16: The Most Famous Ratio of All Lesson 17: The Area of a Circle Lesson 18: More Problems on Area and Circumference Lesson 19: Unknown Area Problems on the Coordinate Plane Lesson 20: Composite Area Problems Gr 7 – Module 6 Lesson 20: Real-World Area Problems

3 Parts of a Circle 7.G.4 Study Island – Common Core Grade 7 Circles Punchline – Bridge to Algebra – pg 154 (circumference) Pg 156 (Circumference and Area of Circles) Khan Academy – Circles: Radius, Diameter and Circumference Parts of a Circle Area of a Circle BMCC Math25 sections – 10.3 (Circles – both circumference and area)

4 Circumference and Pi 7.G.4

5 Area of a Circle 7.G.4

6 More Pi 7.G.4

7 Composite Figures 7.G.4 7.G.6

BMCC Math25 section 10.2 pg 570 problems 43 – 48 Khan Academy – Perimeter and Area of a Non-Standard Polygon

8 Circle Similarity 7.G.4 8.G.4

9 Area of Sectors HS.G-C.5

Unit 12 (Block 2/Block 3) Two Dimensional Geometry

Oregon Focus Recommended Pacing – 11 days

Lesson Lesson Title CCSS Resources Engage NY

10 Three-Dimensional Figures 1.G.2 7.G.6

Study Island Common Core Grade 7 Area, Surface Area, & Volume

Gr 7 – Module 3 Lesson 21-22: Surface Area Lesson 23-24: The Volume of a Right Prism. Lesson 25-26: Volume and Surface Area. Gr 7 – Module 6 Lesson 16: Slicing a Right Rectangular Prism with a Plane Lesson 17: Slicing a Right Rectangular Pyramid with a Plane Lesson 18: Slicing on an Angle. Lesson 19: Understanding Three-Dimensional Figures Lesson 20: Real-World Area Problems

11 Drawing Solids 7.G.6

2-M Slicing Solids 7.G.3

12 Surface Area of Prisms 7.G.6 BMCC Math25 section 10.4 (Volume- rectangular prisms, cubes, cylinders, spheres, and circular cones.) Punchline – Bridge to Algebra pg 157 (Space figures) Pg 158 (Surface Area of Prisms) Pg 159 (Surface Area of Cylinders) Pg 160 (Volume of Prisms) Pg 161 (Volume of Prisms) Pg 162 (Volume of Cylinders) Pg 163 (Volume of Pyramids and Cones) Pg 164 (Volume of Spheres) Pg 165 (Volume of Composite Space Figures) Khan Academy – Cylinder Volume and Surface Area Volume of a Sphere

14 Surface Area of Regular Pyramids 7.G.6

17 Volume of Prisms 7.G.6

20 Volume of Pyramids 7.G.6