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Algebra 1
This Leveled Pacing Chart is provided as a guide to help
you customize your
course and to provide for differentiated instruction.
The suggested number of days for each chapter is based on
a traditional
45-minute class period and on a 90-minute block period. The total of 160
days of instruction leaves time for assessments, projects, assemblies, or other
special days that vary from school to school.
Below Level L2 | On Level | Advanced L4 | |
Chapter 1 Variables, Function Patterns, and Graphs Traditional 12 Block 6 | |||
1-1 Using Variables | √ | √ | √ |
1-2 Exponents and Order of Operations | √ | √ | √ |
• Guided Problem Solving: Understanding Word Problems | √ | √ | |
1-3 Exploring Real Numbers | √ | √ | √ |
• Review: Graphing on the Coordinate Plane | √ | ||
1-4 Introducing Functions | √ | √ | √ |
• Activity Lab Hands-On: Patterns and Expressions | √ | √ | √ |
1-5 Scatter Plots | √ | √ | √ |
• Activity Lab: Interpreting Graphs | √ | √ | |
1-6 Mean, Median, Mode, and Range | √ | √ | √ |
• Activity Lab Data Analysis: Box-and-Whisker Plots | √ | ||
Chapter 2 Rational Numbers Traditional 16 Block 8 | |||
2-1 Adding Rational Numbers | √ | √ | √ |
2-2 Subtracting Rational Numbers | √ | √ | √ |
2-3 Multiplying and Dividing Rational Numbers | √ | √ | √ |
• Activity Lab Technology: Matrices | √ | √ | |
2-4 The Distributive Property | √ | √ | √ |
• Activity Lab Hands-On: The Distributive Property | √ | √ | |
2-5 Properties of Numbers | √ | √ | √ |
• Guided Problem Solving: Understanding Math Problems | √ | √ | √ |
2-6 Theoretical and Experimental Probability | √ | √ | √ |
• Activity Lab Hands-On: Understanding Probability | √ | √ | |
2-7 Probability of Compound Events | √ | √ | |
• Activity Lab Hands-On: Conducting a Simulation | √ | √ | |
• Activity Lab Technology: The Law of Large Numbers | √ | √ | |
• Activity Lab: Applying Probability | √ | ||
Chapter 3 Solving Equations Traditional 20 Block 10 | |||
• Review: Solving One-Step Equations | √ | ||
3-1 Solving Two-Step Equations | √ | √ | √ |
• Activity Lab Technology: Tables, Graphs, and Equations | √ | √ | |
3-2 Solving Multi-Step Equations | √ | √ | √ |
3-3 Equations With Variables on Both Sides | √ | √ | √ |
• Activity Lab Hands-On: Modeling Equations | √ | √ | |
Review: Transforming Formulas | √ | √ | |
3-4 Ratios and Proportions | √ | √ | √ |
3-5 Proportions and Similar Figures | √ | √ | √ |
• Activity Lab Scale Factor: Perimeter, Area, and Volume | √ | √ | |
3-6 Equations and Problem Solving | √ | √ | √ |
• Review: Proportions and Percents | √ | √ | |
3-7 Percent of Change | √ | √ | √ |
• Guided Problem Solving: Understanding Math Problems | √ | √ | |
• Vocabulary Builder: Learning Vocabulary | √ | √ | |
3-8 Finding and Estimating Square Roots | √ | √ | √ |
3-9 The Pythagorean Theorem | √ | √ | √ |
• Extension: Special Right Triangles | √ | ||
• Activity Lab Data Analysis: Probability Distributions | √ | ||
Chapter 4 Solving Inequalities Traditional 12 Block 6 | |||
4-1 Inequalities and Their Graphs | √ | √ | √ |
4-2 Solving Inequalities Using Addition and Subtraction | √ | √ | √ |
4-3 Solving Inequalities Using Multiplication and Division | √ | √ | √ |
4-4 Solving Multi-Step Inequalities | √ | √ | √ |
• Activity Lab Technology: Modeling Inequalities | √ | √ | |
• Guided Problem Solving: Analyzing Errors | √ | √ | √ |
4-5 Compound Inequalities | √ | √ | |
• Extension: Union and Intersection of Sets | √ | ||
• Vocabulary Builder: High-Use Academic Vocabulary | √ | √ | |
4-6 Absolute Value Equations and Inequalities | √ | √ | |
• Extension: Algebraic Reasoning | √ | ||
• Activity Lab: Applying Variation | √ | √ | |
Chapter 5 Graphs and Functions Traditional 10 Block 5 | |||
5-1 Relating Graphs to Events | √ | √ | √ |
5-2 Relations and Functions | √ | √ | √ |
5-3 Function Rules, Tables, and Graphs | √ | √ | √ |
• Activity Lab Technology: Function Rules, Tables, and Graphs | √ | √ | √ |
5-4 Writing a Function Rule | √ | √ | √ |
• Guided Problem Solving: Understanding Math Problems | √ | √ | |
5-5 Direct Variation | √ | √ | √ |
5-6 Inverse Variation | √ | √ | √ |
5-7 Describing Number Patterns | √ | √ | √ |
• Activity Lab Data Analysis: Histograms | √ | ||
Chapter 6 Linear Equations and Their Graphs Traditional 16 Block 8 | |||
6-1 Rate of Change and Slope | √ | √ | √ |
6-2 Slope-Intercept Form | √ | √ | √ |
• Activity Lab Technology: Investigating y + mx = b | √ | √ | √ |
6-3 Applying Linear Functions | √ | √ | √ |
• Guided Problem Solving: Understanding Word Problems | √ | √ | |
6-4 Standard Form | √ | √ | √ |
6-5 Point-Slope Form and Writing Linear Equations | √ | √ | |
• Vocabulary Builder: Understanding Vocabulary | √ | √ | √ |
6-6 Parallel and Perpendicular Lines | √ | √ | √ |
6-7 Scatter Plots and Equations of Lines | √ | √ | |
• Activity Lab Hands-On: Collecting Linear Data | √ | √ | |
6-8 Graphing Absolute Value Equations | √ | √ | |
• Activity Lab Technology: Exploring Absolute Value Functions | √ | √ | |
• Activity Lab: Measuring Force | √ | ||
Chapter 7 Systems of Equations and Inequalities Traditional 12 Block 6 | |||
7-1 Solving Systems by Graphing | √ | √ | √ |
• Activity Lab Technology: Solving Systems Using Tables and Graphs | √ | √ | √ |
7-2 Solving Systems Using Substitution | √ | √ | √ |
• Activity Lab Hands-On: Solving Systems Using Algebra Tiles | √ | √ | |
7-3 Solving Systems Using Elimination | √ | √ | √ |
7-4 Applications of Linear Systems | √ | √ | √ |
• Activity Lab Technology: Matrices and Solving Systems | √ | √ | |
• Guided Problem Solving: Understanding Word Problems | √ | √ | |
7-5 Linear Inequalities | √ | √ | |
7-6 Systems of Linear Inequalities | √ | ||
• Activity Lab Technology: Graphing Linear Inequalities | √ | ||
• Activity Lab Data Analysis: Sampling and Surveys | √ | ||
Chapter 8 Exponents and Exponential Functions Traditional 12 Block 6 | |||
8-1 Zero and Negative Exponents | √ | √ | √ |
8-2 Scientific Notation | √ | √ | √ |
8-3 Multiplication Properties of Exponents | √ | √ | √ |
8-4 More Multiplication Properties of Exponents | √ | √ | √ |
8-5 Division Properties of Exponents | √ | √ | √ |
8-6 Geometric Sequences | √ | √ | √ |
8-7 Exponential Functions | √ | √ | √ |
• Activity Lab Hands-On: Modeling Data | √ | √ | √ |
• Activity Lab Technology: Fitting Exponential Curves to Data | √ | ||
8-8 Exponential Growth and Decay | √ | √ | |
• Guided Problem Solving: Understanding Math Problems | √ | ||
• Activity Lab: Applying Linear Equations | √ | ||
Chapter 9 Polynomials and Factoring Traditional 12 Block 6 | |||
9-1 Adding and Subtracting Polynomials | √ | √ | √ |
9-2 Multiplying and Factoring | √ | √ | √ |
9-3 Multiplying Binomials | √ | √ | √ |
• Activity Lab Hands-On: Using Models to Multiply | √ | √ | √ |
• Guided Problem Solving: Understanding Math Problems | √ | √ | |
9-4 Multiplying Special Cases | √ | √ | √ |
9-5 Factoring Trinomials of the Type x^2 + bx + c | √ | √ | √ |
• Activity Lab Hands-On: Using Models to Factor | √ | √ | √ |
9-6 Factoring Trinomials of the Type ax^2 + bx + c | √ | √ | √ |
9-7 Factoring Special Cases | √ | √ | √ |
9-8 Factoring by Grouping | √ | √ | |
• Activity Lab Data Analysis: Interpreting Statistical Results | √ | ||
Chapter 10 Quadratic Equations and Functions Traditional 16 Block 8 | |||
10-1 Exploring Quadratic Graphs | √ | √ | √ |
10-2 Quadratic Functions | √ | √ | √ |
• Activity Lab Hands-On: Collecting Quadratic Data | √ | √ | √ |
10-3 Solving Quadratic Equations | √ | √ | √ |
10-4 Factoring to Solve Quadratic Equations | √ | √ | √ |
• Activity Lab Technology: Finding Roots | √ | √ | √ |
• Extension: Systems of Linear and Quadratic Equations | √ | ||
• Vocabulary Builder: Connecting Ideas With Concept Maps | √ | √ | |
10-5 Completing the Square | √ | √ | √ |
10-6 Using the Quadratic Formula | √ | √ | √ |
• Guided Problem Solving: Understanding Word Problems | √ | √ | |
10-7 Using the Discriminant | √ | ||
10-8 Choosing a Linear, Quadratic, or Exponential Model | √ | √ | |
• Extension: Cubic Functions | √ | ||
• Activity Lab: Applying Circles | √ | ||
Chapter 11 Radical Expressions and Equations Traditional 10 Block 5 | |||
11-1 Simplifying Radicals | √ | √ | √ |
11-2 Operations with Radical Expressions | √ | √ | √ |
11-3 Solving Radical Equations | √ | √ | √ |
• Guided Problem Solving: Understanding Word Problems | √ | √ | √ |
• Extension: Standard Deviation | √ | ||
11-4 Graphing Square Root Functions | √ | √ | |
11-5 Trigonometric Ratios | √ |