NJ14 New Jersey Teacher Handbook

Course 2 New Jersey Leveled Pacing Chart✔ Content to prepare for the NJ ASK test

✔ Reviews the previous year

✔ Content to cover after the NJ ASK test orfor Enrichment

This New Jersey Leveled Pacing Chart is provided as a guide to help you customize your courseand to provide for differentiated instruction. This chart covers the content of the book andhelps students cover the Cumulative Progress Indicators they need for success on theMathematics section of the New Jersey Assessment of Skills and Knowledge (NJ ASK) test.

The suggested number of days for each chapter is based on a traditional 45-minute class periodand on a 90-minute block period. The total of 160 days of instruction leaves time for assess-ments, projects, assemblies, or other special days that vary from school to school.

Cumulative Progress Indicators Core AdvancedChapter 1 Decimals and Integers Traditional 17 days Block 9 days

1-1 Using Estimation Strategies 4.5.A.3 ✔ ✔

1-2 Adding and Subtracting Decimals 4.1.7.B.1, 4.5.A.3 ✔ ✔

• Extension: Using Mental Math 4.1.7.B.1 ✔ ✔

1-3a Activity Lab, Hands On: Modeling Decimal Multiplication 4.1.7.B.1 ✔ ✔

1-3 Multiplying Decimals 4.1.7.B.1, 4.5.A.3 ✔ ✔

1-4a Activity Lab, Hands On: Modeling Decimal Division 4.1.7.B.1 ✔ ✔

1-4 Dividing Decimals 4.5.7.A.3 ✔ ✔

• Guided Problem Solving: Choosing Operations 4.1.7.B.1 ✔ ✔

1-5 Measuring in Metric Units 4.2.7.D.1, 4.2.7.D.3 ✔ ✔

1-6 Comparing and Ordering Integers 4.1.7.A.4, 4.3.7.D.1 ✔ ✔

• Vocabulary Builder Learning New Math Terms 4.5.7.B.4 ✔ ✔

1-7a Activity Lab, Hands On: Modeling Integer Addition and Subtraction 4.1.7.B.1 ✔ ✔

1-7 Adding and Subtracting Integers 4.1.7.B.1, 4.3.7.D.1, 4.3.7.D.4 ✔ ✔

1-8a Activity Lab, Hands On: Modeling Integer Multiplication 4.1.7.B.1 ✔ ✔

1-8 Multiplying and Dividing Integers 4.1.7.B.1, 4.3.7.D.1 ✔ ✔

1-9 Order of Operations and the Distributive Property 4.1.7.B.3, 4.3.7.D.3 ✔ ✔

1-9b Activity Lab, Algebra Thinking: Properties and Equality 4.3.7.D.4 ✔ ✔

1-10 Mean, Median, Mode, and Range 4.4.7.A.1, 4.4.7.A.1 ✔ ✔

1-10b Activity Lab, Data Analysis: Box-and-Whisker Plots 4.4.7.A.1 ✔ ✔

Problem Solving Application: Applying Integers 4.1.7.B.1 ✔ ✔

New Jersey Workout, p. NJ5 4.1.7.A.4, 4.1.7.B.1, 4.1.7.B.3,4.2.7.D.1, 4.3.7.D.4, 4.4.7.A.1 ✔ ✔

Chapter 2 Exponents, Factors, and Fractions Traditional 14 days Block 7 days2-1 Exponents and Order of Operations 4.1.7.A.1, 4.1.7.B.2, 4.1.7.B.3, 4.3.7.D.3 ✔ ✔

2-1b Activity Lab, Technology: Using a Scientific Calculator 4.1.7.B.1, 4.5.F.4 ✔ ✔

2-2a Activity Lab: Divisibility Tests ✔

2-2 Prime Factorization ✔

• Guided Problem Solving: Using LCM and GCF ✔

2-3 Simplifying Fractions 4.1.7.A.5 ✔ ✔

2-4a Activity Lab, Hands On: Comparing Fractions 4.1.7.A.4 ✔ ✔

2-4 Comparing and Ordering Fractions 4.1.7.A.4 ✔ ✔

2-5 Mixed Numbers and Improper Fractions ✔

2-6a Activity Lab: Comparing Fractions and Decimals 4.1.7.A.4, 4.1.7.A.6 ✔ ✔

2-6 Fractions and Decimals 4.1.7.A.4, 4.1.7.A.6 ✔ ✔

2-6b Activity Lab, Data Analysis: Using Tables to Compare Data 4.4.7.A.2 ✔ ✔

2-7 Rational Numbers 4.1.7.A.4, 4.1.7.A.1 ✔ ✔

2-8 Scientific Notation Prepares for 4.1.8.A.1 ✔

• Extension: Negative Exponents Prepares for 4.1.8.A.1 ✔

Problem Solving Application: Applying Fractions 4.1.7.B.1 ✔ ✔

New Jersey Workout, p. NJ6 4.1.7.A.1, 4.1.7.A.4, 4.1.7.A.5,4.1.7.A.6, 4.1.7.B.2, 4.1.7.B.3 ✔ ✔

New Jersey Benchmark Test 1 in NJ PMA, pp. 7–12

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Cumulative Progress Indicators Core AdvancedChapter 3 Operations With Fractions Traditional 13 days Block 7 days

3-1 Estimating With Fractions and Mixed Numbers 4.1.7.C.1 ✔ ✔

• Vocabulary Builder: High-Use Academic Words 4.1.7.C.1 ✔ ✔

3-2a Activity Lab, Hands On: Using Fraction Models 4.1.7.B.1 ✔

3-2 Adding and Subtracting Fractions 4.1.7.B.1 ✔ ✔

3-3 Adding and Subtracting Mixed Numbers 4.1.7.B.1 ✔ ✔

3-4a Activity Lab, Hands On: Modeling Fraction Multiplication 4.1.7.B.1 ✔ ✔

3-4 Multiplying Fractions and Mixed Numbers 4.1.7.B.1 ✔ ✔

3-5a Activity Lab, Hands On; Modeling Fraction Division 4.1.7.B.1 ✔ ✔

3-5 Dividing Fractions and Mixed Numbers 4.1.7.B.1 ✔ ✔

• Guided Problem Solving: Practice Solving Problems 4.1.7.B.1 ✔ ✔

3-6 Changing Units in the Customary System 4.2.7.D.1 ✔ ✔

3-6b Activity Lab, Algebra Thinking: Solving Puzzles 4.5.B.3 ✔ ✔

3-7a Activity Lab: Choosing Appropriate Units 4.2.7.D.2 ✔ ✔

3-7 Precision 4.2.7.D.2, 4.2.7.D.3 ✔ ✔

3-7b Activity Lab: Estimating in Different Systems Prepares for 4.2.8.D.2 ✔

Problem Solving Application: Applying Fractions 4.1.7.B.1 ✔ ✔

New Jersey Workout, p. NJ7 4.1.7.B.1, 4.1.7.C.1, 4.2.7.D.1, 4.2.7.D.2, 4.2.7.D.3 ✔ ✔

Chapter 4 Equations and Inequalities Traditional 15 days Block 8 days4-1a Activity Lab: Describing Patterns 4.2.7.A.3, 4.3.7.A.1 ✔ ✔

4-1 Evaluating and Writing Algebraic Expressions 4.3.7.D.3, 4.5.B.4 ✔ ✔

4-1b Activity Lab, Technology: Using Spreadsheets 4.5.F.2 ✔ ✔

4-2 Using Number Sense to Solve Equations 4.3.7.D.2 ✔ ✔

4-2b Activity Lab, Algebra Thinking: Keeping the Balance 4.3.7.D.4 ✔ ✔

4-3a Activity Lab, Hands On: Modeling Equations 4.3.7.D.3 ✔ ✔

4-3 Solving Equations by Adding or Subtracting 4.3.7.D.2, 4.5.E.2 ✔ ✔

• Vocabulary Builder: High-Use Academic Words 4.3.7.C.2 ✔ ✔

4-4 Solving Equations by Multiplying or Dividing 4.3.7.D.2, 4.5.E.2 ✔ ✔

• Guided Problem Solving: Practice Solving Problems 4.3.7.D.2, 4.5.E.2 ✔ ✔

4-5 Exploring Two-Step Problems 4.3.7.D.2, 4.3.7.D.3, 4.5.E.2 ✔ ✔

4-6a Activity Lab, Hands On: Modeling Two-Step Equations 4.3.7.B.1 ✔ ✔

4-6 Solving Two-Step Equations 4.3.7.D.2, 4.5.E.2 ✔ ✔

4-7 Graphing and Writing Inequalities 4.3.7.C.2 ✔ ✔

4-8a Activity Lab, Data Analysis: Inequalities in Bar Graphs 4.3.7.C.2, 4.4.7.A.2 ✔ ✔

4-8 Solving Inequalities by Adding or Subtracting Prepares for 4.3.8.D.3, 4.3.8.D.5 ✔

4-9 Solving Inequalities by Multiplying or Dividing Prepares for 4.3.8.D.3, 4.3.8.D.5 ✔

Problem Solving Application: Applying Inequalities Prepares for 4.3.8.D.3, 4.3.8.D.5 ✔

New Jersey Workout, p. NJ8 Prepares for 4.3.7.C.2, 4.3.7.D.2, 4.3.7.D.3, ✔ ✔

4.3.8.D.3, 4.3.8.D.5New Jersey Benchmark Test 2 in NJ PMA, pp. 13–18

Chapter 5 Ratios, Rates, and Proportions Traditional 12 days Block 6 days5-1 Ratios 4.1.7.A.3 ✔ ✔

5-2 Unit Rates and Proportional Reasoning 4.1.7.A.3 ✔ ✔

• Extension: Using Conversion Factors Prepares for 4.3.8.D.6 ✔

5-3 Proportions 4.1.7.A.3 ✔ ✔

5-3b Activity Lab: Algebra Thinking: Interpreting Rates Visually 4.3.7.C.1 ✔ ✔

5-4a Activity Lab, Data Collection: Using Proportions with Data 4.1.7.A.3 ✔ ✔

5-4 Solving Proportions 4.1.7.A.3 ✔ ✔

• Guided Problem Solving: Proportions and Equations 4.1.7.A.3, 4.3.7.C.2 ✔ ✔

5-5a Activity Lab: Exploring Similar Figures 4.2.7.A.2 ✔ ✔

5-5 Using Similar Figures 4.2.7.A.2 ✔ ✔

• Vocabulary Builder: Learning Vocabulary 4.1.7.A.3 ✔ ✔

5-5b Activity Lab, Technology: Drawing Similar Figures 4.2.7.B.1, 4.5.F.5 ✔ ✔

5-6a Activity Lab, Hands On: Scale Drawings and Models 4.2.7.A.2 ✔ ✔

5-6 Maps and Scale Drawings 4.2.7.A.2 ✔ ✔

5-6b Activity Lab: Plan a Trip 4.1.7.A.3, 4.2.7.A.2 ✔ ✔

Problem Solving Application: Applying Ratios 4.1.7.A.3, 4.2.7.A.2 ✔ ✔

New Jersey Workout, p. NJ9 4.1.7.A.3, 4.2.7.A.2, 4.2.7.B.1, 4.3.7.C.1, 4.3.7.C.2, ✔ ✔

4.5.F.5, Prepares for 4.3.8.D.6

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Cumulative Progress Indicators Core AdvancedChapter 6 Percents Traditional 13 days Block 6 days

6-1 Understanding Percents 4.1.7.A.1, 4.5.E.3 ✔ ✔

6-2a Activity Lab, Hands On: Rational Number Cubes 4.1.7.A.4, 4.1.7.A.5 ✔ ✔

6-2 Percents, Fractions, and Decimals 4.1.7.A.4, 4.1.7.A.5 ✔ ✔

6-3 Percents Greater Than 100% or Less Than 1% 4.1.7.A.3, 4.1.7.A.5 ✔ ✔

6-4a Activity Lab, Data Analysis: Using Percent Data in a Graph 4.4.7.A.2 ✔ ✔

6-4 Finding a Percent of a Number 4.1.7.A.3 ✔ ✔

6-5 Solving Percent Problems Using Proportions 4.1.7.A.3 ✔ ✔

6-6 Solving Percent Problems Using Equations 4.1.7.A.3 ✔ ✔

• Guided Problem Solving: Solving Percent Problems 4.1.7.A.3, 4.1.7.C.1 ✔ ✔

6-7 Applications of Percent 4.1.7.A.3 ✔ ✔

6-7b Activity Lab, Algebra Thinking: Percent Equations 4.1.7.C.1 ✔ ✔

6-8a Activity Lab, Data Analysis: Exploring Percent of Change 4.1.7.A.3 ✔ ✔

6-8 Finding Percent of Change 4.1.7.A.3 ✔ ✔

Problem Solving Application: Applying Percents 4.1.7.A.3, 4.4.7.A.2 ✔ ✔

New Jersey Workout, p. NJ10 4.1.7.A.1, 4.1.7.A.3, 4.1.7.A.5, 4.5.E.3 ✔ ✔

New Jersey Benchmark Test 3 in NJ PMA, pp. 19–24Chapter 7 Geometry Traditional 13 days Block 6 days

7-1 Lines and Planes ✔

• Vocabulary Builder: High-Use Academic Words ✔

7-2a Activity Lab, Hands On: Measuring Angles ✔

7-2 Identifying and Classifying Angles 4.5.A.2 ✔ ✔

7-3a Activity Lab, Hands On: Sides and Angles of a Triangle 4.2.7.A.3 ✔ ✔

7-3 Triangles 4.2.7.A.1 ✔ ✔

7-4 Quadrilaterals and Other Polygons 4.2.7.A.1 ✔ ✔

7-5 Congruent Figures ✔

7-6 Circles 4.5.A.2 ✔ ✔

7-7 Circle Graphs 4.4.7.A.1, 4.4.7.A.2, 4.5.F.4 ✔ ✔

• Guided Problem Solving: Percents and Circle Graphs 4.1.7.A.3, 4.4.7.A.1, 4.4.7.A.2, ✔ ✔

7-7b Activity Lab, Data Collection: Making a Circle Graph 4.4.7.A.1, 4.4.7.A.2 ✔ ✔

7-8 Constructions Prepares for 4.2.8.A.1 ✔

Problem Solving Application: Applying Geometry 4.2.7.A.1, 4.2.7.A.3, 4.5.A.2 ✔ ✔

New Jersey Workout, p. NJ11 4.2.7.A.1, 4.4.7.A.2, 4.5.A.2 ✔ ✔

Chapter 8 Measurement Traditional 16 days Block 8 days8-1 Estimating Perimeter and Area 4.2.7.E.1 ✔ ✔

8-2a Activity Lab, Hands On: Generating Formulas for Area ✔

8-2 Area of a Parallelogram ✔

8-3 Perimeter and Area of a Triangle ✔

8-4 Areas of Other Figures 4.2.7.E.1, 4.5.A.2 ✔ ✔

8-5a Activity Lab, Hands On: Modeling a Circle ✔

8-5 Circumference and Area of a Circle 4.5.F.4 ✔ ✔

• Guided Problem Solving: Areas of Irregular Figures Prepares for 4.2.8.E.1 ✔

8-6 Square Roots and Irrational Numbers Prepares for 4.1.8.A.1 ✔

8-7a Activity Lab, Hands On: Exploring Right Triangles Prepares for 4.2.8.A.2 ✔

8-7 The Pythagorean Theorem Prepares for 4.2.8.A.2 ✔

8-8a Activity Lab, Hands On: Three Views of an Object ✔

8-8 Three-Dimensional Figures 4.2.7.A.2 ✔ ✔

8-9 Surface Areas of Prisms and Cylinders ✔

• Extension: Patterns in 3-Dimensional Figures 4.3.7.A.1 ✔ ✔

8-10 Volumes of Prisms and Cylinders Prepares for 4.2.8.E.3 ✔

8-10b Activity Lab, Hands On: Generating Formulas for Volume 4.2.7.E.2 ✔ ✔

Problem Solving Application: Applying Volume Prepares for 4.2.8.E.3 ✔

New Jersey Workout, p. NJ12 4.2.7.A.2, 4.2.7.E.1, 4.5.F.4 ✔ ✔

New Jersey Benchmark Test 4 in NJ PMA, pp. 25–30

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Cumulative Progress Indicators Core AdvancedChapter 9 Patterns and Rules Traditional 13 days Block 6 days9-1a Activity Lab, Data Analysis: Choosing Scales and Intervals Prepares for 4.4.8.A.2 ✔

9-1 Patterns and Graphs 4.4.7.A.2 ✔ ✔

9-2a Activity Lab, Hands On: Finding Patterns 4.3.7.A.1 ✔ ✔

9-2 Number Sequences 4.3.7.A.1 ✔ ✔

9-3 Patterns and Tables 4.3.7.A.1 ✔ ✔

9-4a Activity Lab: Generating Formulas From a Table 4.3.7.A.1 ✔ ✔

9-4 Function Rules 4.3.7.C.1 ✔ ✔

9-5 Using Tables, Rules, and Graphs ✔

9-5b Activity Lab, Technology: Three Views of a Function 4.5.F.1, 4.5.F.3 ✔

9-6 Interpreting Graphs 4.5.E.1 ✔ ✔

• Guided Problem Solving: Solving Pattern Problems 4.4.7.A.2 ✔ ✔

9-7 Simple and Compound Interest 4.3.7.C.2 ✔ ✔

9-8 Transforming Formulas 4.5.A.2 ✔ ✔

9-8b Activity Lab, Algebra Thinking: More About Formulas 4.1.7.A.3, 4.5.A.2 ✔ ✔

Problem Solving Application: Applying Graphs 4.4.7.A.2 ✔ ✔

New Jersey Workout, p. NJ13 4.3.7.A.1, 4.3.7.C.1, 4.3.7.C.2, 4.4.7.A.2, 4.5.E.1 ✔ ✔

Chapter 10 Graphing in the Coordinate Plane Traditional 12 days Block 6 days10-1 Graphing Points in Four Quadrants 4.5.A.2 ✔ ✔

10-1b Activity Lab: Geometry in the Coordinate Plane 4.2.7.C.1 ✔ ✔

10-2 Graphing Linear Equations 4.3.7.D.2, 4.5.A.2 ✔ ✔

• Guided Problem Solving: Practice Solving Problems 4.3.7.D.2 ✔ ✔

10-2b Activity Lab, Data Analysis: Representing Data 4.3.7.C.1, 4.4.7.A.1 ✔ ✔

10-3 Finding the Slope of a Line Prepares for 4.3.8.B.1 ✔

10-3b Activity Lab, Technology: Exploring Slope 4.5.F.1, 4.5.F.3 ✔

10-4 Graphing Nonlinear Relationships 4.5.F.3 ✔ ✔

• Vocabulary Builder: High-Use Academic Words 4.4.7.A.2 ✔ ✔

10-5a Activity Lab: Slides, Flips, and Turns 4.2.7.B.1 ✔ ✔

10-5 Translations 4.2.7.B.1, 4.2.7.C.2 ✔ ✔

10-6 Line Symmetry and Reflections 4.2.7.B.1 ✔ ✔

• Extension: Exploring Tessellations Prepares for 4.2.8.A.3 ✔

10-7 Rotational Symmetry and Rotations 4.2.7.B.1 ✔ ✔

Problem Solving Application: Applying Coordinates 4.4.7.A.2 ✔ ✔

New Jersey Workout, p. NJ14 4.2.7.B.1, 4.2.7.C.2, 4.3.7.D.2, 4.5.A.2 ✔ ✔

Chapter 11 Displaying and Analyzing Data Traditional 12 days Block 6 days11-1 Reporting Frequency 4.3.7.A.1 ✔ ✔

11-1b Activity Lab: Venn Diagrams 4.4.7.C.2 ✔ ✔

11-2 Spreadsheets and Data Displays 4.4.7.A.2, 4.5.F.2 ✔ ✔

11-2b Activity Lab, Technology: Graphing Using Spreadsheet Software 4.4.7.C.2 ✔ ✔

11-3 Stem-and-Leaf Plots 4.4.7.A.2 ✔ ✔

11-3b Activity Lab, Data Analysis: Choosing the Best Display 4.4.7.A.1 ✔ ✔

11-4a Activity Lab, Data Collection: Writing Survey Questions ✔

11-4 Random Samples and Surveys Prepares for 4.4.8.A.4 ✔

11-5 Estimating Population Size 4.4.7.A.2 ✔ ✔

• Guided Problem Solving: Describing Data 4.4.7.A.1 ✔ ✔

11-5b Activity Lab, Data Analysis: Graphing Population Data Prepares for 4.4.8.A.4 ✔

11-6 Using Data to Persuade 4.3.7.C.2, 4.4.7.A.1 ✔ ✔

11-7a Activity Lab, Data Collection: Two Variable Data Collection 4.3.7.A.1, 4.4.7.A.2 ✔ ✔

11-7 Exploring Scatter Plots 4.4.7.A.1 ✔ ✔

Problem Solving Application: Applying Data Analysis Prepares for 4.4.8.A.1, 4.4.8.A.2 ✔

New Jersey Workout, p. NJ15 4.3.7.A.1, 4.3.7.C.2, 4.3.7.A.1, 4.4.7.A.2 ✔ ✔

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Cumulative Progress Indicators Core AdvancedChapter 12 Using Probability Traditional 10 days Block 5 days12-1 Probability 4.4.7.B.1, 4.4.7.B.3 ✔ ✔

• Extension: Odds Prepares for 4.4.8.B.1, 4.4.8.B.5 ✔

12-2a Activity Lab, Hands On: Exploring Experimental Probability 4.4.7.B.2, 4.4.7.B.3 ✔ ✔

12-2 Experimental Probability 4.4.7.B.2, 4.4.7.B.3 ✔ ✔

12-2b Activity Lab, Technology: Random Numbers 4.5.F.1 ✔

12-3 Sample Spaces 4.4.7.B.2, 4.4.7.C.1 ✔ ✔

12-3b Activity Lab, Data Analysis: Using Data to Predict 4.4.7.B.3 ✔ ✔

12-4a Activity Lab, Hands On: Exploring Multiple Events ✔

12-4 Compound Events Prepares for 4.4.8.B.2 ✔

• Vocabulary Builder: High-Use Academic Words 4.4.7.B.3 ✔ ✔

• Guided Problem Solving: Practice With Probability 4.4.7.B.3 ✔ ✔

12-5 Permutations 4.4.7.C.3 ✔ ✔

12-6 Combinations 4.4.7.C.3 ✔ ✔

Problem Solving Application: Applying Probability 4.4.7.B.1, 4.4.7.B.2, 4.4.7.B.3 ✔ ✔

New Jersey Workout, p. NJ16 4.4.7.B.1, 4.4.7.B.2, 4.4.7.B.3, 4.4.7.C.1, 4.4.7.C.3 ✔ ✔

New Jersey Benchmark Test 4 in NJ PMA, pp. 31–38

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