MILWAUKEE PUBLIC SCHOOLS Pacing Guide 7 th Grade Glencoe Math_Pacing Guide Gr 7_Glencoe 07.27.11_v1 Page 1
September Domain: The Number System 7.NS Pacing Guide: Glencoe Common Core State Standards for Cluster: Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers. 7.NS.1 7.NS.2 7.NS.3 Program Materials Formative Summative Chapter 1- Decimal Patterns and Algebra Order of Operations: Section 3; Algebra: Equations: Section 6 Chapter 3- Algebra: Integers Section 1: Integers and Absolute Value MathScape: Making Mathematical Arguments- Lesson 1: Statements About Signs Chapter 3- Adding Integers: Section 4a, 4; Subtracting Integers: Section 5a, 5 MathScape: Making Mathematical Arguments- Lesson 2: Counterexamples and Cube Combinations Chapter 3- Multiplying Integers: Section 6; Dividing Integers: Section 7 MathScape: Making Mathematical Arguments- Lesson 3: More Cases to Consider Chapter 5- Fractions, Decimals, and Percents Fractions and Decimals: Section 4 Chapter 6- Applying Fractions Adding and Subtracting Fractions: Section 2; Adding and Subtracting Mixed Numbers: Section 3; Multiplying Fractions and Mixed Numbers: Section 4; Dividing Fractions and Mixed Numbers: Section 6 Classroom Based on Standards (CABS) and Constructed Response items (CRs) can be found on the Milwaukee Partnership (MMP) website: www.mmp.uwm.edu 7.NS Standard 1 CABS Grade 8 Absolute Value 7.NS Standard 2 CABS #10a Teachers should select items that cover a range of cognitive demand levels for a "balanced summative assessment". Include only those items which support the mathematics taught. Choose items from the following resources or from other sources as appropriate: the Mid-Chapter Practice Tests and End of Chapter Practice Tests, Self-Check Quizzes and Chapter Tests from the Assessment Resource Book (multiple choice and free response items), MathScape (Self-Check Quizzes), and the ExamView Test Generator. Math_Pacing Guide Gr 7_Glencoe 07.27.11_v1 Page 2
Pacing Guide: Glencoe Common Core State Standards for Program Materials Formative Summative Math_Pacing Guide Gr 7_Glencoe 07.27.11_v1 Page 3
October Domains: The Number System 7.NS Expressions and Equations 7.EE Cluster: Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers. Standard: 7.NS.3 MathScape: Making Mathematical Arguments- Lesson 4: Rules to Operate By Classroom Based on Standards (CABS) and Constructed Response items (CRs) can be found on the Milwaukee Partnership (MMP) website: www.mmp.uwm.edu 7.EE Standard 1, 2 CABS Grade 8 Absolute Value, Equivalent or Not Cluster: Use properties of operations to generate equivalent expressions. Standard: 7.EE.2 Chapter 4- Algebra: Linear Equations and Functions Writing Expressions and Equations: Section 1 MathScape: The Language of Algebra- Lesson 1: Describing the Ideal School Math_Pacing Guide Gr 7_Glencoe 07.27.11_v1 Page 4
Pacing Guide: Glencoe Common Core State Standards for Program Materials Formative Summative Math_Pacing Guide Gr 7_Glencoe 07.27.11_v1 Page 5
November/December Domain: Expressions and Equations 7.EE Cluster: Solve real-life and mathematical problems using numerical and algebraic expressions and equations. 7.EE.3 7.EE.4 Chapter 4- Algebra: Linear Equations and Functions Solving Addition and Subtraction Equations: Section 2; Solving Multiplication Equations: Section 3; Solving Two-Step Equations: Section 4; Inequalities: Section 5 MathScape: The Language of Algebra- Lesson 2: Not All Things Are Equal; Lesson 3: Different Ways to Say the Same Thing; Lesson 4: Raising Funds Chapter 6- Applying Fractions Solving Equations: Section 5 Classroom Based on Standards (CABS) and Constructed Response items (CRs) can be found on the Milwaukee Partnership (MMP) website: www.mmp.uwm.edu MathScape: The Language of Algebra- Lesson 9: Situations and Solutions; Lesson 10: Solving Simple Equations and Inequalities; Lesson 11: The Balancing Act; Lesson 12: The Best Bus Deal Pacing Guide: Glencoe Math_Pacing Guide Gr 7_Glencoe 07.27.11_v1 Page 6
January Domain: Ratios and Proportional Relationships 7.RP Common Core State Standards for Cluster: Analyze proportional relationships and use them to solve real-world and mathematical problems. 7.RP.1 7.RP.2 7.RP.3 Program Materials Chapter 7- Ratios and Proportions Ratios: Section 1; Rates: Section 2 MathScape: Buyer Beware- Lesson 1: What s the Best Buy?; Lesson 2: The Best Snack Bar Bargain; Lesson 3: Cheaper by the Pound; Lesson 4: It Really Adds Up Chapter 8- Applying Percent Percent and Estimation: Section 1; Algebra: The Percent Equation: Section 2; Percent of Change: Section 4; Sales Tax and Discount: Section 5; Simple Interest: Section 6 MathScape: Buyer Beware- Lesson 9: Team Spirit Formative Classroom Based on Standards (CABS) and Constructed Response items (CRs) can be found on the Milwaukee Partnership (MMP) website: www.mmp.uwm.edu 7.RP Standard 1 CABS Grade 8 Rectangle Ratio 1 Grade 8 Rectangle Ratio 2 Grade 8 Silvia s Hike Summative 7.RP Standard 3 CABS Grade 8 Paxolai s Purchase Grade 8 Toni s Taxes Grade 8 Planetary Weights Math_Pacing Guide Gr 7_Glencoe 07.27.11_v1 Page 7
Pacing Guide: Glencoe Common Core State Standards for Program Materials Formative Summative Math_Pacing Guide Gr 7_Glencoe 07.27.11_v1 Page 8
February Domains: Ratios and Proportional Relationships 7.RP Geometry 7.G Cluster: Analyze proportional relationships and use them to solve real-world and mathematical problems. Standard: 7.RP.3 Cluster: Draw, construct, and describe geometrical figures and describe the relationships between them. 7.G.1 7.G.2 Cluster: Solve real-life and mathematical problems involving angle measure, area, surface area, and volume. Standard: 7.G.5 MathScape: Buyer Beware- Lesson 11: Sale Daze; Lesson 12: Percent Smorgasbord Chapter 7- Ratios and Proportions Geometry: Scale Drawings: Section 4 MathScape: From the Ground Up- Lesson 1: Designing a Floor Plan; Lesson 2: Site Plans and Scale Drawings; Lesson 3: Building the Outside Walls Chapter 10- Geometry Measuring Angles: Section 1a; Angles: Section 1; Constructing and Bisecting Angles: Section 1b; Angle Relationships: Section 3; Constructing Parallel Lines: Section 3b; Triangles: Section 4; Constructing Triangles: Section 4b; Quadrilaterals: Section 5 MathScape: Getting in Shape- Lesson 2: The Truth About Triangles Classroom Based on Standards (CABS) and Constructed Response items (CRs) can be found on the Milwaukee Partnership (MMP) website: www.mmp.uwm.edu 7.G Standards 1-3 CABS #10a-b, Grade 8 Similar Triangles 7.G Standards 4-6 CABS #1, 2 Grade 8 Scott s Reasoning, Paper Tube, Making Conjectures Pacing Guide: Glencoe Math_Pacing Guide Gr 7_Glencoe 07.27.11_v1 Page 9
March Domain: Geometry 7.G Common Core State Standards for Cluster: Solve real-life and mathematical problems involving angle measure, area, surface area, and volume. 7.G.4 7.G.6 Cluster: Draw, construct, and describe geometrical figures and describe the relationships between them. Standard: 7.G.3 Cluster: Solve real-life and mathematical problems involving angle measure, area, surface area, and volume. 7.G.4 7.G.6 Program Materials Chapter 11: Geometry: Measuring Two-Dimensional Figures Area of Parallelograms: Section 4; Triangles and Trapezoids: Section 5a; Area of Triangles and Trapezoids: Section 5; Area of Circles: Section 6; Area of Complex Figures: Section 7 Chapter 12- Geometry: Measuring Three- Dimensional Figures Building Three-Dimensional Figures: Section 1a; Drawing Three-Dimensional Figures: Section 1 MathScape: From the Ground Up- Lesson 5: Beginning Roof Construction Chapter 12- Volume of Rectangular Prisms: Section 2; Volume of Cylinders: Section 3; Nets and Surface Area: Section 4a; Surface Area of Rectangular Prisms: Section 4; Changes in Volume and Surface Area: Section 4b; Surface Area of Cylinders: Section 5 Formative Classroom Based on Standards (CABS) and Constructed Response items (CRs) can be found on the Milwaukee Partnership (MMP) website: www.mmp.uwm.edu 7.G Standards 1-3 CABS #10a-b, Grade 8 Similar Triangles 7.G Standards 4-6 CABS #1, 2 Grade 8 Scott s Reasoning, Paper Tube, Making Conjectures Summative Math_Pacing Guide Gr 7_Glencoe 07.27.11_v1 Page 10
April Domains: Geometry 7.G Statistics and Probability 7.SP Pacing Guide: Glencoe Common Core State Standards for Cluster: Solve real-life and mathematical problems involving angle measure, area, surface area, and volume. Standard: 7.G.4 Program Materials Chapter 6- Applying Fractions Circumference: Section 9a; Geometry: Circles and Circumference: Section 9 MathScape: From the Ground Up- Lesson 9: Going Around in Circles; Lesson 10: Rectangles from Polygons; Lesson 11: Around the Area; Lesson 12: Drawing on What You Know Formative Classroom Based on Standards (CABS) and Constructed Response items (CRs) can be found on the Milwaukee Partnership (MMP) website: www.mmp.uwm.edu Summative Cluster: Draw informal comparative inferences about two populations. 7.SP.3 7.SP.4 Cluster: Use random sampling to draw inferences about a population. 7.SP.1 7.SP.2 Chapter 2- Statistics: Analyzing Data Mean, Median, and Mode: Section 4; Stemand-Leaf Plots: Section 5; Box-and-Whisker Plots: Section 6; Bar Graphs and Histograms: Section 7; Multiple-Line and Multiple-Bar Graphs: Section 7b Chapter 8- Applying Percent Sampling: Section 3a; Using Statistics to Predict: Section 3 7.G Standards 1-3 CABS #10a-b, Grade 8 Similar Triangles 7.G Standards 4-6 CABS #1, 2 Grade 8 Scott s Reasoning, Paper Tube, Making Conjectures 7.SP Standards 3-4 CABS #1, 2 Math_Pacing Guide Gr 7_Glencoe 07.27.11_v1 Page 11
Pacing Guide: Glencoe Common Core State Standards for Program Materials Formative Summative Math_Pacing Guide Gr 7_Glencoe 07.27.11_v1 Page 12
May/June Domain: Statistics and Probability 7.SP Cluster: Investigate chance processes and develop, use, and evaluate probability models. 7.SP.5 7.SP.6 7.SP.7 7.SP.8 Chapter 9- Probability Simple Events: Section 1; Tree Diagrams: Section 2; The Fundamental Counting Principle: Section 3; Permutations: Section 4; Exploring Combinations: Section 5a; Combinations: Section 5; Theoretical and Experimental Probability: Section 6; Experimental Probability: Section 6b; Independent and Dependent Events: Section 7 MathScape: Chance Encounters- Lesson 1: The Carnival Collection; Lesson 2: Coins and Cube Experiment; Lesson 3: From Never to Always; Lesson 4: Spin With the Cover-Up Game; Lesson 5: The Mystery Spinner Game; Lesson 6: Designing Mystery Spinner Games; Lesson 7: Is This Game Fair or Unfair?; Lesson 8: Charting the Chances; Lesson 9: Which Game Would You Play?; Lesson 10: Is the Simulation Realistic?; Lesson 11: The Shape Toss Game; Lesson 12: Real-World Simulation Game Chapter 11- Geometry: Measuring Two-Dimensional Figures Probability: Area Models: Section 8 Classroom Based on Standards (CABS) and Constructed Response items (CRs) can be found on the Milwaukee Partnership (MMP) website: www.mmp.uwm.edu 7.SP Standards 5-7 CABS #4, 5, 6 Pacing Guide: Glencoe Math_Pacing Guide Gr 7_Glencoe 07.27.11_v1 Page 13
Note: It is the pacing authors opinion that out of the 24 Common Core State Standards for mathematics, one standard is not reflected in the seventh grade Glencoe textbook. That standard is 7.EE.1 (apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients). Additionally, the seventh grade pacing authors found that there are four standards that are lacking depth in the seventh grade curriculum: 1) 7.EE.3, 2) 7.G.2, 3) 7.G.3 and 4) 7.NS.2(d): Standard 3 in the Equations and Expressions domain is addressed in separate lessons, multi-step real-life and mathematical problems are posed; however, it lacks positive and negative rational numbers in various forms (whole numbers, fractions, and decimals). Standard 2 in the Geometry domain is partially addressed in that it is lacking a focus on constructing triangles from three measures of angles or sides, noticing when the conditions determine a unique triangle, more than one triangle, or no triangle. Standard 3 in the Geometry domain is partially addressed in that it is lacking a description of two-dimensional figures that result from splicing three-dimensional figures. Standard 2d in The Number System domain lacks a specific connection to rational numbers. Furthermore, the seventh grade pacing authors found that the seventh grade curriculum lacks instruction and application of complex fractions, which is found in 7.NS.3 and 7.RP.1. Math_Pacing Guide Gr 7_Glencoe 07.27.11_v1 Page 14