# SEVENTH GRADE. Revised June Billings Public Schools Correlation and Pacing Guide Math - McDougal Littell Middle School Math 2004

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1 SEVENTH GRADE June 2010 Billings Public Schools Correlation and Guide Math - McDougal Littell Middle School Math 2004 (Chapter Order: 1, 6, 2, 4, 5, 13, 3, 7, 8, 9, 10, 11, 12

2 Chapter 1 Number Sense, Patterns, and Algebraic Thinking 12 days Student/Teacher Edition Learning Objectives 1 st Semester Supplemental Materials Lesson 1.1 (1 day) Patterns Lesson 1.2 (1 day) Evaluate Expressions Lesson 1.3 (1 day) Powers & Exponents Lesson 1.4 (2 days) Order of Operations Quiz (1 day) Represent linear and proportional relationships using multiple representations (tables, graphs, verbal descriptions, symbolic expressions) of data and make connections among the representations. (I, D, E, A) Use properties of equality and rational numbers to rewrite an algebraic expression in multiple ways and show that the expressions are equivalent. (I, D, E, A) Evaluate expressions with integers and whole number exponents with and without calculator. (I, D, E, A) Evaluate expressions with integers and whole number exponents with and without calculator. (I, D, E, A) Hands-On Activity on page 13 Technology page 23 Do 1.4 Activity from Activity Generator or What s Your Address Activity Lesson 1.5 (1 day) Equations & Mental Math Lesson 1.6 (2 days) Perimeter & Area Use properties of equality and rational numbers to rewrite an algebraic expression in multiple ways and show that the expressions are equivalent. (I, D, E, A) Determine the lengths, areas, and volume using proportional reasoning and scale factors of similar two- and three-dimensional objects. (I, D, E, A) Do Discovering Perimeter & Area Activity instead of textbook lesson 2

3 Chapter 1 Number Sense, Patterns, and Algebraic Thinking Student/Teacher Edition Lesson 1.7 (1 day) Problem Solving Review/Test (2 days) Learning Objectives 1 st Semester Represent linear and proportional relationships using multiple representations (tables, graphs, verbal descriptions, symbolic expressions) of data and make connections among the representations. (I, D, E, A) Supplemental Materials Do pages instead of textbook lesson 12 days 3

4 Chapter 6 Integers 9 days Student/Teacher Edition Learning Objectives 1 st Semester Supplemental Materials Lesson 6.1 (1 day) Compare and Order Integers Lesson 6.2 (3 days) Lesson 6.3 Adding & Subtracting Integers Lesson 6.4 (2 days) Multiplying Integers Lesson 6.5 (1 day) Dividing Integers Review/Test (2 days) Recognize, model, and compare different forms of integers and rational numbers including percents, fractions, decimals, and numbers using exponents and scientific notation. (A) Use and justify the strategies and procedures for computing with integers. (I, D, E, A) Solve and create problems using integers and check Evaluate expressions with integers and whole number exponents with and without calculator. (I, D, E, A) Use and justify the strategies and procedures for computing with integers. (I, D, E, A) Solve and create problems using integers and check Evaluate expressions with integers and whole number exponents with and without calculator. (I, D, E, A) Use and justify the strategies and procedures for computing with integers. (I, D, E, A) Solve and create problems using integers and check Evaluate expressions with integers and whole number exponents with and without calculator. (I, D, E, A) Stepping Out Integers Lesson from AIMS Education Foundation OR Integer Addresses from AIMS Education Foundation Algebra with Pizzazz Find a Match and Famous Farming Algebra with Pizzazz Why did the ant run across the cracker box? Page 73 suggested assessment 4

5 Chapter 2 Decimal Operations 8 days Student/Teacher Edition Learning Objectives 1 st Semester Supplemental Materials Pre-assess Operations of Decimals: Complete Lessons if needed (2 days) Lesson 2.5 (2 days) Scientific Notation Lesson 2.6 (1 day) Measuring in Metric Units Lesson 2.7 (1 day) Converting Metric Units Review/Test (2 days) Deduce values of fraction/decimal/percent equivalencies using common fractions/decimals/percents (e.g., since 1/4=25% then 3/4=75%). (I, D, E, A) Use properties of rational numbers and inverse operations to solve multi-step equations and check Evaluate expressions with integers and whole number exponents with and without calculator. (I, D, E, A) Solve problems involving standard and metric measures. (I, D, E, A) Solve problems involving standard and metric measures. (I, D, E, A) Activity Generator Lesson 2.5 Activity Generator Lesson 2.7 5

6 Chapter 4 Number Patterns and Fractions 14 days Student/Teacher Edition Lesson 4.1 (1 day) Prime Factorization Lesson 4.2 (1 day) GCF Lesson 4.3 (2 days) Equivalent Fractions Quiz (1 day) Learning Objectives 1 st Semester Write the prime factorization of a number with and without exponents. (I, D, E, A) Write the prime factorization of a number with and without exponents. (I, D, E, A) Deduce values of fraction/decimal/percent equivalencies using common fractions/decimals/percents (e.g., since 1/4=25% then 3/4=75%). (I, D, E, A) Supplemental Materials Equivalency Fraction Tile Activity Lesson 4.4 (2 days) LCM Lesson 4.5 (2 days) Comparing & Ordering Fractions Lesson 4.6 (2 days) Mixed Number & Improper Fractions Write the prime factorization of a number with and without exponents. (I, D, E, A) Deduce values of fraction/decimal/percent equivalencies using common fractions/decimals/percents (e.g., since 1/4=25% then 3/4=75%). (I, D, E, A) Deduce values of fraction/decimal/percent equivalencies using common fractions/decimals/percents (e.g., since 1/4=25% then 3/4=75%). (I, D, E, A) Captain Hook Worksheet Algebra with Pizzazz GCF & LCM Venn Diagram of Chart Fraction War using Playing Cards Fraction Tiles Pattern Blocks Fraction Tiles 6

7 Chapter 4 Number Patterns and Fractions 14 days Student/Teacher Edition Lesson 4.7 (1 day) Fractions, Decimals, Percent Equivalencies Review/Test (2 days) Learning Objectives 1 st Semester Deduce values of fraction/decimal/percent equivalencies using common fractions/decimals/percents (e.g., since 1/4=25% then 3/4=75%). (I, D, E, A) Supplemental Materials Use an activity to represent the connection between fractions, decimals & percents (ie., M&M Activity) 7

8 Chapter 5 Fraction Operations 13 days Student/Teacher Edition Learning Objectives 1 st Semester Supplemental Materials Lesson 5.1 (2 days) Adding & Subtracting Fractions Lesson 5.2 (2 days) Adding & Subtracting Mixed Numbers Lesson 5.3 (2 days) Multiplying Fractions with Mixed Numbers Lesson 5.4 (2 days) Dividing Fractions with Mixed Numbers Quiz (1 day) Use number theory concepts such as prime factorization, greatest common factor, and least common multiple in problem situations. (A) Compute fluently and solve multi-step problems using integers, fractions, decimals, and numbers in exponential form. (A) Multiply and divide fractions fluently. (D, E, A) Multiply and divide fractions fluently. (D, E, A) Algebra with Pizzazz Fraction Attraction Algebra with Pizzazz Famous Quotations Algebra with Pizzazz Why did they build a gym on Wall Street? Lesson 5.5 & 5.6 (2 days) Measuring and Converting with Customary Units Review Test (2 days) Use rates to justify conversions between units within the same system. (e.g., miles per hour to feet per second) (I, D, E, A) Use appropriate tools and technology to estimate and measure, with appropriate units, in scientific and cultural situations, including those of Montana American Indians. (E, A) 8

9 Chapter 13 Probability 5 days Student/Teacher Edition Learning Objectives 1 st Semester Supplemental Materials Lesson 13.1 (1 day) Probability Lesson 13.2 (1 day) Tree Diagram Necessary Lesson (2 days) Quiz (1 day) Data Analysis Mathematics Use the experimental and theoretical probability of an event to make a prediction for a large number of trials and justify your reasoning (e.g., probability of rolling a sum of two when rolling a pair of dice is 1/6; how many times would you expect a sum of two if you rolled the pair of dice 360 times). (I, D, E, A) Data Analysis Mathematics Use the experimental and theoretical probability of an event to make a prediction for a large number of trials and justify your reasoning (e.g., probability of rolling a sum of two when rolling a pair of dice is 1/6; how many times would you expect a sum of two if you rolled the pair of dice 360 times). (I, D, E, A) Data Analysis Mathematics Use the experimental and theoretical probability of an event to make a prediction for a large number of trials and justify your reasoning (e.g., probability of rolling a sum of two when rolling a pair of dice is 1/6; how many times would you expect a sum of two if you rolled the pair of dice 360 times). (I, D, E, A) The Dice Game Lesson adapted from Addison-Wesley Publishing Company 9

10 Student/Teacher Edition Learning Objectives 1 st Semester Supplemental Materials Chapter 3 Data and Statistics 9 days Lesson 3.1 (3 days) Mean, Median, Mode Lesson 3.2 Bar & Line Graphs Lesson 3.4 Box & Whisker Plots Lesson 3.3 (1 day) Stem & Lead Plots Lesson 3.5 (1 day) Histogram Data Analysis Mathematics Organize and represent data using histograms and circle graphs. (I, D, E, A) Data Analysis Mathematics Organize and represent data using histograms and circle graphs. (I, D, E, A) Data Analysis Mathematics Organize and represent data using histograms and circle graphs. (I, D, E, A) M & M Project Could make a page in M & M Project Necessary Lesson (2 days) Review Test (2 days) Data Analysis Mathematics Given a set of data from science, history, and culture, including those of Montana American Indians compare representative displays, and justify an appropriate selection of data representation. (I, D, E, A) Batteries Lesson Navigating through Data Analysis in Grades 6-8 Pg & pg. 89 BLM 10

11 Chapter 7 Equations, Inequalities, and Functions 15 days Student/Teacher Edition Learning Objectives 2 nd Semester Supplemental Materials Lesson 7.1 (1 day) Writing Expressions & Equations Lesson 7.2 (3 days) Simplifying Expression Lesson 7.3 (2 days) Solving Addition and Subtraction Equations Lesson 7.4 (2 days) Solving Multiplication and Division Problems Quiz (1 day) Represent linear and proportional relationships using multiple representations (tables, graphs, verbal descriptions, symbolic expressions) of data and make connections among the representations. (I, D, E, A) Use properties of equality and rational numbers to rewrite an algebraic expression in multiple ways and show that the expressions are equivalent. (I, D, E, A) Use properties of rational numbers and inverse operations to solve multi-step equations and check Use properties of rational numbers and inverse operations to solve multi-step equations and check Introducing Algeblocks and Variable Expression Lesson using worksheets 5-1 to 5-3 & 5-7 from the Algeblock Notebook (Lesson Plan provided in Supplement Folder) Algebra with Pizzazz How Many Cattle and What did the Orgo say? Page 326 Examples Model using Algebra Tiles Page 332 Examples Model using Algebra Tiles 11

12 Chapter 7 Equations, Inequalities, and Functions 15 days Student/Teacher Edition Learning Objectives 2 nd Semester Supplemental Materials Lesson 7.5 (2 days) Solving Two-Step Equations Lesson 7.6 (2 days) Solving Inequalities Review/Test (2 days) Use properties of rational numbers and inverse operations to solve multi-step equations and check Use properties of numbers and inverse operations to solve one-step inequalities in one variable and graph the solution on a number line. (I, D, E, A) Model using Algebra Tiles Algebra with Pizzazz Test of Knowledge Under the Big Top but Above the Floor Lesson 12

13 Student/Teacher Edition Learning Objectives 2 nd Semester Supplemental Materials Chapter 8 Ratios and Proportions 13 days Lesson 8.1 (1 day) Ratios Lesson 8.2 (2 days) Rates Lesson 6.8 (1 day) Coordinate Plane Lesson 8.3 (2 days) Slope Quiz (1 day) Determine if numbers are prime or composite and explain the strategy used. (I, D, E, A) Use and justify the strategies and procedures for computing with integers. (I, D, E, A) Solve problems involving standard and metric measures. (I, D, E, A) Use rates to justify conversions between units within the same system. (e.g., miles per hour to feet per second) (I, D, E, A) Identify the unit rate of change and justify how it relates to the slope of a line. (I, D, E, A) Identify the unit rate of change and justify how it relates to the slope of a line. (I, D, E, A) Algebra with Pizzazz Get the Point Algebra with Pizzazz Miss Muffet Lesson 8.4 (1 day) Writing and Solving Proportions Use proportions to solve contextual problems including scale drawings, rates, ratios, and percent problems. (I, D, E, A) Use properties of equality and rational numbers to rewrite an algebraic expression in multiple ways and show that the expressions are equivalent. (I, D, E, A) 13

14 Chapter 8 Ratios and Proportions 13 days Student/Teacher Edition Learning Objectives 2 nd Semester Supplemental Materials Lesson 8.5 (1 day) Proportions with Cross Product Lesson 8.6 (2 days) Scale Review/Test (2 days) Use proportions to solve contextual problems including scale drawings, rates, ratios, and percent problems. (I, D, E, A) Use properties of rational numbers and inverse operations to solve multi-step equations and check Use rates to justify conversions between units within the same system. (e.g., miles per hour to feet per second) (I, D, E, A) Use proportions to solve contextual problems including scale drawings, rates, ratios, and percent problems. (I, D, E, A) Use properties of rational numbers and inverse operations to solve multi-step equations and check Teacher I Shrank My Room! From Navigating through Measurement P (Change scale) 14

15 Chapter 9- Percents 4 days Student/Teacher Edition Learning Objectives 2 nd Semester Supplemental Materials Pre-assess Lessons and complete as needed (1 day) Percents, Fractions, Decimals, Proportions Lesson 9.6 (1 day) Percent Increase and Decrease Lesson 9.8 (1 day) Simple Interest Review/Test (1 day) Use proportions to solve contextual problems including scale drawings, rates, ratios, and percent problems. (I, D, E, A) Use estimation strategies and judge the reasonableness of percent problems. (D, E, A) Use a calculator to solve multi-step problems and check reasonableness with appropriate estimation strategies. (I, D) Use proportions to solve contextual problems including scale drawings, rates, ratios, and percent problems. (I, D, E, A) Use properties of rational numbers and inverse operations to solve multi-step equations and check 15

16 Chapter 10- Geometric Figures 4 days Student/Teacher Edition Learning Objectives 2 nd Semester Supplemental Materials Lesson 10.7 (2 days) Transformations and Symmetry OR Native American Design Lesson Lesson 10.8 (1 day) Transformations in the Coordinate Plane Quiz (1 day) Use transformations to determine similarity and/or congruence of two-dimensional and threedimensional objects in mathematics, art, science, and culture, including Montana American Indians. (I, D, E, A) Define, identify and execute a translation, a rotation, and a reflection with and without technology. (I, D, E, A) Define, identify and execute a translation, a rotation, and a reflection with and without technology. (I, D, E, A) Native American Design Lesson 16

17 Chapter 11 Measurement and Area 9 days Student/Teacher Edition Learning Objectives 2 nd Semester Supplemental Materials Lesson 11.1 & 11.2 (1 day) Square Roots Lesson 11.4 & 11.5 (3 days) Areas of Parallelograms, Triangles and Trapezoids Necessary Lesson (1 day) Lesson 11.6 & 11.7 (2 days) Circumference and Area of a Circle Review/Test (2 days) Estimate and explain the square root of any whole number from (I, D, E, A) Determine the circumference and area of circles and trapezoids and label with appropriate units. (I, D, E, A) Determine the lengths, areas, and volume using proportional reasoning and scale factors of similar two- and three-dimensional objects. (I, D, E, A) Develop and justify a formula for the area of a trapezoid (e.g., decompose a trapezoid into common polygons or use a composition of two trapezoids to create another common polygon). (I, D, E, A) Determine the lengths, areas, and volume using proportional reasoning and scale factors of similar two- and three-dimensional objects. (I, D, E, A) Determine the circumference and area of circles and trapezoids and label with appropriate units. (I, D, E, A) Piecing Ideas Together Lesson from Navigating through Measurement Grades 6-8 Pgs Seeing is Believing Lesson from Navigating through Measurement Grades 6-8 Pgs Lesson Plan Pgs BLM 17

18 Chapter 12 Surface Area and Volume 12 days Student/Teacher Edition Learning Objectives 2 nd Semester Supplemental Materials Lesson 12.1 (1 day) Classifying Solids Lesson 12.2 (1 day) Sketching Solids Lesson 12.3 (2 days) Surface Area of Rectangular Prisms Quiz (1 day) Lesson 12.4 (2 days) Surface Area of Cylinders Lesson 12.5 (1 day) Volume of Rectangular Prisms Lesson 12.6 (1 day) Volume of Cylinders Draw (freehand, with ruler and protractor, and with technology) geometric shapes with given conditions. 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. (I, D, E, A) Determine the surface area and volume of prisms and cylinders and label with appropriate units. (I, D, E, A) Decompose a prism, pyramid and cylinder into its two-dimensional shapes and compose its twodimensional shapes into a cylinder. (I, D, E, A) Determine the surface area and volume of prisms and cylinders and label with appropriate units. (I, D, E, A) Determine the surface area and volume of prisms and cylinders and label with appropriate units. (I, D, E, A) Determine the surface area and volume of prisms and cylinders and label with appropriate units. (I, D, E, A) Surface Area of Rectangular and Triangular Prisms Lesson 18

19 Chapter 12 Surface Area and Volume 12 days Student/Teacher Edition Learning Objectives 2 nd Semester Supplemental Materials Necessary Lesson (1 day) Review/Test (2 days) Determine the lengths, areas, and volume using proportional reasoning and scale factors of similar two- and three-dimensional objects. (I, D, E, A) Ratios of Perimeters, Areas, Surface Areas, and Volumes Lesson from Navigating through Measurement Grades 6-8 (Do perimeters and areas only.) Pgs Lesson Plan Pgs BLM 19

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