MILWAUKEE PUBLIC SCHOOLS Mathematics Pacing Guide 7 th Grade Holt Math_Pacing Guide Gr 7_Holt 07.27.11_v1 Page 1
September Domain: The Number System 7.NS Standards for Mathematics 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 Chapter 1- Section 5: Order of Operations Chapter 1- Section 6: Properties Chapter 2- Section 1: Integers Chapter 2- Section 2: Adding Integers Chapter 2- Hands-on Lab 2-2 Model Integer Addition Chapter 2- Section 3: Subtracting Integers Chapter 2- Hands-on Lab 2-3 Model Integer Subtraction Chapter 3- Section 2: Adding and Subtracting Decimals Chapter 2- Section 9: Equivalent Fractions and Mixed Numbers Chapter 2- Section 10: Equivalent Fractions and Decimals Chapter 3- Section 8: Adding and Subtracting Fractions Chapter 3- Hands-on Lab 3-8 Model Fraction Addition and Subtraction Chapter 3- Section 9: Adding and Subtracting Mixed Numbers Chapter 2- Section 4: Multiplying and Dividing Integers Chapter 2- Hands-on Lab 2-4 Model Integer Multiplication and Division Classroom Based on Standards (CABS) and Constructed Response items (CRs) can be found on the Milwaukee Mathematics Partnership (MMP) website: 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: Ready To Go On Quizzes and Chapter Tests, the Assessment Resource Book (multiple choice, free response, and performance assessments), and the ExamView Test Generator. Math_Pacing Guide Gr 7_Holt 07.27.11_v1 Page 2
October Domains: The Number System 7.NS Expressions and Equations 7.EE Standards for Mathematics 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 Chapter 3- Section 3: Multiplying Decimals Chapter 3- Hands-on Lab 3-3 Model Decimal Multiplication Chapter 3- Section 4: Dividing Decimals by Integers Chapter 3- Hands-on Lab 3-4 Model Decimal Division Chapter 3- Section 5: Dividing Decimals and Integers by Decimals Skills Bank- Properties: Page 764 Chapter 3- Section 10: Multiplying Fractions and Mixed Numbers Chapter 3- Hands-on Lab 3-10 Model Fraction Multiplication and Division Chapter 3- Section 11: Dividing Fractions and Mixed Numbers Classroom Based on Standards (CABS) and Constructed Response items (CRs) can be found on the Milwaukee Mathematics Partnership (MMP) website: 7.NS Standard 1 CABS Grade 8 Absolute Value 7.NS Standard 2 CABS #10a Cluster: Use properties of operations to generate equivalent expressions. 7.EE.1 7.EE.2 Chapter 1- Section 7: Variables and Algebraic Expressions Chapter 1- Section 8: Translate Words into Math Chapter 1- Section 9: Simplifying Algebraic Expressions Chapter 1- Section 10: Equations and Their Solutions Chapter 1- Section 11: Addition and Subtraction Equations Chapter 1- Hands-on Lab 1-11 Model Solving Equations Chapter 1- Section 12: Multiplication and Division Equations 7.EE Standards 1, 2 CABS Grade 8 Absolute Value, Equivalent or Not Math_Pacing Guide Gr 7_Holt 07.27.11_v1 Page 3
November/December Domains: Expressions and Equations 7.EE Standards for Mathematics Cluster: Solve real-life and mathematical problems using numerical and algebraic expressions and equations. 7.EE.3 7.EE.4 Chapter 2- Section 5: Solving Equations Containing Integers Chapter 2- Hands-on Lab 2-5 Model Integer Equations Chapter 3- Section 6: Solving Equations Containing Decimals Chapter 3- Section 12: Solving Equations Containing Fractions Chapter 12- Section 1: Solving Two-Step Equations Chapter 12- Hands-on Lab 12-1 Model Two-Step Equations Chapter 12- Section 2: Solving Multi-Step Equations Chapter 12- Section 3: Solving Equations with Variables on Both Sides Hands-On Lab Supplement- Solving Equations with Multiple Steps: Page 179 Chapter 12- Focus on Problem Solving: Page 691 Chapter 12- Section 4: Inequalities Chapter 12- Section 5: Solving Inequalities by Adding or Subtracting Chapter 12- Section 6: Solving Inequalities by Multiplying or Dividing Hands-On Lab Supplement- Solving Inequalities: Page 184 Chapter 12- Section 7: Solving Two-Step Inequalities Chapter 12- Extension: Solving for a Variable Page 710 Chapter 3- Section 1: Estimate with Decimals Chapter 3- Section 7: Estimate with Fractions Chapter 6- Section 1: Percents Hands-On Lab Supplement- Fractions, Decimals, and Percents: Page 62 Chapter 6- Problem-Solving 6-1 Chapter 6- Section 2: Fractions, Decimals, and Percents Chapter 6- Section 3: Estimate with Percents Classroom Based on Standards (CABS) and Constructed Response items (CRs) can be found on the Milwaukee Mathematics Partnership (MMP) website: Math_Pacing Guide Gr 7_Holt 07.27.11_v1 Page 4
January Domain: Ratios and Proportional Relationships 7.RP Standards for Mathematics Cluster: Analyze proportional relationships and use them to solve real-world and mathematical problems. 7.RP.1 7.RP.2 Chapter 4- Section 1: Coordinate Plane Chapter 4- Section 2: Tables and Graphs Chapter 4- Problem-Solving 4-2 Chapter 4- Section 4: Functions, Tables, and Graphs Chapter 4- Section 5: Find a Pattern in Sequences Chapter 4- Section 6: Graphing Linear Functions Chapter 4- Hands-on Lab 4-6 Explore Linear Functions Chapter 4- Multi-Step Test Prep page 253 Chapter 5- Section 1: Ratios Chapter 5- Section 2: Rates Chapter 5- Section 3: Slope and Rate of Change Chapter 5- Problem-Solving 5-3 Hands-On Lab Supplement- Identifying and Writing Proportions: Page 49 Chapter 5- Section 4: Identifying and Writing Proportions Chapter 5- Section 6: Customary Measurements Chapter 4- Extension: Dimensional Analysis Page 314 Classroom Based on Standards (CABS) and Constructed Response items (CRs) can be found on the Milwaukee Mathematics Partnership (MMP) website: 7.RP Standard 1 CABS Grade 8 Rectangle Ratio 1 Grade 8 Rectangle Ratio 2 Grade 8 Silvia s Hike Math_Pacing Guide Gr 7_Holt 07.27.11_v1 Page 5
February Domains: Ratios and Proportional Relationships 7.RP Geometry 7.G Standards for Mathematics Cluster: Analyze proportional relationships and use them to solve real-world and mathematical problems. 7.RP.1 7.RP.2 7.RP.3 Cluster: Solve real-life and mathematical problems involving angle measure, area, surface area, and volume. Standard: 7.G.5 Chapter 5- Section 7: Similar Figures and Proportions Chapter 5- Hands-on Lab 5-7 Make Similar Figures Chapter 5- Section 8: Using Similar Figures Chapter 6- Section 4: Percent of a Number Chapter 6- Hands-on Lab 6-4 Explore Percents Chapter 6- Section 5: Solving Percent Problems Chapter 6- Problem-Solving 6-5 Chapter 6- Section 6: Percent of Change Hands-On Lab Supplement- Percent of Increase and Decrease: Page 67 Chapter 6- Section 7: Simple Interest Chapter 8- Section 1: Building Blocks of Geometry Chapter 8- Section 2: Classifying Angles Chapter 8- Hands-on Lab 8-2 Explore Complementary and Supplementary Angles Chapter 8- Section 3: Angle Relationships Classroom Based on Standards (CABS) and Constructed Response items (CRs) can be found on the Milwaukee Mathematics Partnership (MMP) website: 7.RP Standard 1 CABS Grade 8 Rectangle Ratio 1 Grade 8 Rectangle Ratio 2 Grade 8 Silvia s Hike 7.RP Standard 3 CABS Grade 8 Paxolai s Purchase Grade 8 Toni s Taxes Grade 8 Planetary Weights Math_Pacing Guide Gr 7_Holt 07.27.11_v1 Page 6
March Domain: Geometry 7.G Standards for Mathematics Cluster: Solve real-life and mathematical problems involving angle measure, area, surface area, and volume. Standard: 7.G.4 Cluster: Draw, construct, and describe geometrical figures and describe the relationships between them. Standard: 7.G.2 Chapter 8- Section 4: Properties of Circles Chapter 8- Section 5: Classifying Polygons Chapter 8- Section 6: Classifying Triangles Chapter 8- Section 7: Classifying Quadrilaterals Chapter 8- Section 8: Angles and Polygons Classroom Based on Standards (CABS) and Constructed Response items (CRs) can be found on the Milwaukee Mathematics Partnership (MMP) website: 7.G Standards 1-3 CABS #10a-b, Grade 8 Similar Triangles Cluster: Solve real-life and mathematical problems involving angle measure, area, surface area, and volume. Standard: 7.G.6 Chapter 9- Section 2: Perimeter and Circumference Chapter 9- Hands-on Lab 9-2 Explore Perimeter and Circumference Chapter 9- Section 3: Area of Polygons Chapter 9- Hands-on Lab 9-3 Explore Area of Polygons Chapter 9- Section 4: Area of Triangles and Trapezoids Chapter 9- Section 5: Area of Circles Chapter 9- Section 6: Area of Irregular Figures 7.G Standards 4-6 CABS #1, 2 Grade 8 Scott s Reasoning, Paper Tube, Making Conjectures Math_Pacing Guide Gr 7_Holt 07.27.11_v1 Page 7
April Domains: Geometry 7.G Statistics and Probability 7.SP Standards for Mathematics Cluster: Draw, construct, and describe geometrical figures and describe the relationships between them. 7.G.1 7.G.3 Chapter 10- Section 1: Introduction to Three-Dimensional Figures Chapter 10- Section 2: Volume of Prisms and Cylinders Chapter 10- Section 3: Volume of Pyramids and Cones Chapter 10- Section 4: Surface Area of Prisms and Cylinders Chapter 10- Hands-on Lab 10-4 Use Nets to Build Prisms and Cylinders Chapter 5- Section 9: Scale Drawings and Scale Models Chapter 10- Section 5: Changing Dimensions Chapter 10- Extension: Cross Sections Page 612 Classroom Based on Standards (CABS) and Constructed Response items (CRs) can be found on the Milwaukee Mathematics Partnership (MMP) website: 7.G Standards 1-3 CABS #10a-b, Grade 8 Similar Triangles Cluster: Draw informal comparative inferences about two populations. 7.SP.3 7.SP.4 Chapter 7- Section 1: Frequency Tables, Stem-and-Leaf Plots, and Line Plots Chapter 7- Section 2: Mean, Median, Mode, and Range Chapter 7- Section 3: Bar Graphs and Histograms 7.G Standards 4-6 CABS #1, 2 Grade 8 Scott s Reasoning, Paper Tube, Making Conjectures Math_Pacing Guide Gr 7_Holt 07.27.11_v1 Page 8
May/June Domain: Statistics and Probability 7.SP Standards for Mathematics Cluster: Draw informal comparative inferences about two populations. 7.SP.3 7.SP.4 Chapter 7- Section 4: Reading and Interpreting Circle Graphs Chapter 7- Section 5: Box-and-Whisker Plots Chapter 7- Hands-on Lab 7-5 Use Venn Diagrams to Display Collected Data Chapter 7- Section 6: Line Graphs Chapter 7- Section 7: Choosing an Appropriate Display Classroom Based on Standards (CABS) and Constructed Response items (CRs) can be found on the Milwaukee Mathematics Partnership (MMP) website: Cluster: Use random sampling to draw inferences about a population. 7.SP.1 7.SP.2 Chapter 7- Section 8: Populations and Samples Chapter 7- Section 9: Scatter Plots Chapter 7- Section 10: Misleading Graphs 7.SP Standards 3-4 CABS #1, 2 7.SP Standards 5-7 CABS #4, 5, 6 Cluster: Investigate chance processes and develop, use, and evaluate probability models. 7.SP.5 7.SP.6 7.SP.7 Chapter 11- Section 1: Probability Chapter 11- Section 1: Experimental Probability Chapter 11- Section 3: Make a List to Find Sample Spaces Chapter 11- Section 4: Theoretical Probability Chapter 11- Hands-on Lab 11-4 Experimental and Theoretical Probability Chapter 11- Section 5: Probability of Independent and Dependent Events Hands-On Lab Supplement- Probability With and Without Replacement: Page 167 Chapter 11- Section 6: Combinations Chapter 11- Section 7: Permutations Chapter 11- Multi-Step Test Prep page 661 Math_Pacing Guide Gr 7_Holt 07.27.11_v1 Page 9
Note: It is the pacing authors opinion that out of the 24 Standards for mathematics, there are three standards which lack depth in the Holt textbook: 7.G.2 in the Geometry domain is only partially addressed in Chapter Eight Section Six in that it does not provide students with enough opportunities to draw independently. 7.NS.3 in the Number System domain comprehensively addresses all rational numbers save for complex fractions. 7.RP.1 in the Ratios and Proportional Relationships domain comprehensively addresses the standard save for providing students with opportunities to work with complex fractions. Math_Pacing Guide Gr 7_Holt 07.27.11_v1 Page 10