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1 Middle School Pre-Algebra Common Core Appendix Information K 12 has revised Middle School Pre-Algebra to align the course with Common Core State Standards (CCSS). To do this, we created an appendix of new lessons and lessons from other Math courses that meet CCSS. We also added new, Common Core-aligned activities to existing lessons. What you need to know about this course: Original Middle School Pre-Algebra lessons with added activities will take longer to complete than they did before. It is possible that students will have already seen content pulled from earlier Math courses, or they might see some content again in a later course. Unit Reviews, Semester Reviews, Unit Checkpoints, and Semester Checkpoints have not been updated to include lessons from the Appendix or new activities. They cover lessons from the original Middle School Pre-Algebra course. How to use the lesson list: Use the lesson list to integrate the CCSS lessons in the Appendix into the Middle School Pre- Algebra course. Check the Notes column for information about lessons that have new activities. Lesson List Unit and Lesson Number Lesson Title Notes Unit 1 The Basics 1.1 Semester Introduction 1.2 Order of Operations 1.3 Variable Expressions 1.4 Writing Expressions for Word Phrases 1.5 Your Choice 1.6 Comparing Expressions 1.7 Replacement Sets 1.8 Your Choice 1.9 Related Equations 1.10 Solving Problems 1.11 The Basics Review 1.12 The Basics Unit Test Unit 2 Addition and Subtraction 2.1 Integers on a Number Line, Part Integers on a Number Line, Part Adding Integers 2.4 Subtracting Integers 2.5 Your Choice 2.6 Your Choice 2.7 Decimals on a Number Line 2.8 Adding Decimals, Part 1

2 2.9 Adding Decimals, Part Your Choice 2.11 Subtracting Decimals, Part Subtracting Decimals, Part Addition and Subtraction Properties Appendix Lesson 1.1 Opposites and Absolute Value 2.14 Equations Involving Addition and Subtraction 2.15 Addition and Subtraction Applications 2.16 Addition and Subtraction Review 2.17 Addition and Subtraction Unit Test Unit 3 Multiplication and Division 3.1 Multiplying Integers and Decimals, Part Multiplying Integers and Decimals, Part Dividing Integers and Decimals 3.4 Your Choice 3.5 Multiplication and Division Properties 3.6 Rounding and Estimation 3.7 Your Choice 3.8 Equations Involving Multiplication and Division 3.9 Multiplication and Division Applications, Part Multiplication and Division Applications, Part Multiplication and Division Review 3.12 Multiplication and Division Unit Test Unit 4 Fractions 4.1 Equivalent Fractions, Part Equivalent Fractions, Part Multiplying Fractions 4.4 Dividing Fractions 4.5 Your Choice 4.6 Your Choice 4.7 Common Denominators 4.8 Adding and Subtracting Fractions, Part Adding and Subtracting Fractions, Part Working with Improper Fractions and Mixed Numbers 4.11 Your Choice 4.12 Multiplying and Dividing Mixed Numbers 4.13 Equations with Fractions and Mixed Numbers 4.14 Fractions Unit Review 4.15 Fractions Unit Test Unit 5 Combined Operations 5.1 The Distributive Property 5.2 Like Terms

3 5.3 Expressions with Mixed Operations 5.4 Your Choice 5.5 Equations with Mixed Operations 5.6 Error Analysis 5.7 Inequalities 5.8 Combined Operations Review 5.9 Combined Operations Unit Test Unit 6 Number Properties 6.1 Positive Exponents 6.2 Factors and Primes 6.3 GCF and Relative Primes 6.4 Your Choice 6.5 Negative Exponents 6.6 Powers of Ten 6.7 Scientific Notation 6.8 Number Properties Review 6.9 Number Properties Unit Test Unit 7 Geometry Basics 7.1 Points, Lines, and Planes 7.2 Rays and Angles 7.3 Parallel Lines and Transversals 7.4 Your Choice 7.5 Your Choice 7.6 Triangles 7.7 Polygons Appendix Lesson 1.2 Drawing Geometric Shapes 7.8 Circles 7.9 Transformations 7.10 Congruence 7.11 Geometry Basics Review 7.12 Geometry Basics Test Unit 8 Semester Review and Test 8.1 Semester Review 8.2 Your Choice 8.3 Your Choice 8.4 Semester Test Unit 9 Ratio, Proportion, and Percent 9.1 Semester Introduction 9.2 Ratio, Part Ratio, Part 2 New activity teaches how to write ratios as complex fractions and simplify. Appendix Lesson 1.3 Ratios Appendix Lesson 1.4 Using Slope as a Rate 9.4 Proportion, Part Proportion, Part Your Choice

4 Appendix Lesson 1.5 Appendix Lesson 1.6 Appendix Lesson 1.7 Applications: Linear Models Cost Problems Proportions Appendix Lesson 1.8 Direct Linear Variation, Part 1 Appendix Lesson 1.9 Direct Linear Variation, Part Your Choice 9.8 Percents, Fractions, and Decimals, Part Percents, Fractions, and Decimals, Part 2 Appendix Lesson 1.10 Appendix Lesson 1.11 Percents Applications: Percents 9.10 Similarity and Scale New activity provides opportunities for students to reproduce a scale drawing at a different scale Your Choice Appendix Lesson 1.12 Appendix Lesson 1.13 Dimensional Analysis Properties of Volume and Surface Area 9.12 Working with Percent 9.13 Percent of Increase or Decrease 9.14 Simple Interest 9.15 Ratio, Proportion, and Percent Review 9.16 Ratio, Proportion, and Percent Unit Test Unit 10 Analytic Geometry 10.1 Points on the Plane 10.2 Two-Variable Equations 10.3 Linear Equations and Intercepts, Part Your Choice 10.5 Linear Equations and Intercepts, Part Slope, Part Slope, Part Your Choice 10.9 Problem Solving Relations and Functions, Part Relations and Functions, Part Systems of Linear Equations Analytic Geometry Review Analytic Geometry Unit Test Unit 11 Perimeter and Area 11.1 Types of Polygons 11.2 Perimeter 11.3 Areas of Rectangles and Triangles 11.4 Your Choice 11.5 Your Choice 11.6 Special Quadrilaterals 11.7 Areas of Special Quadrilaterals 11.8 Your Choice 11.9 Circumference, Part 1

5 11.10 Circumference, Part Areas of Circles, Part Areas of Circles, Part Perimeter and Area Review Perimeter and Area Unit Test Unit 12 Square Roots and Right Triangles 12.1 Rational Square Roots 12.2 Irrational Square Roots, Part Irrational Square Roots, Part The Pythagorean Theorem, Part Your Choice 12.6 The Pythagorean Theorem, Part The Distance Formula 12.8 Special Types of Triangles, Part Special Types of Triangles, Part Trigonometric Ratios Square Roots and Right Triangles Review Square Roots and Right Triangles Unit Test Unit 13 Solid Figures 13.1 Volume and Capacity, Part Volume and Capacity, Part Volumes of Prisms and Cylinders, Part Volumes of Prisms and Cylinders, Part Your Choice 13.6 Your Choice 13.7 Volumes of Pyramids and Cones, Part Volumes of Pyramids and Cones, Part Your Choice Appendix Lesson 1.14 Slicing Solids Surface Area Surface Areas of Prisms and Cylinders Solid Figures Review Solid Figures Unit Test Unit 14 Counting and Probability 14.1 Counting Principles 14.2 Permutations 14.3 Combinations 14.4 Your Choice 14.5 Probability 14.6 Mutually Exclusive Events 14.7 Samples and Prediction Appendix Lesson 1.15 Probability Appendix Lesson 1.16 Combined Probability

6 Appendix Lesson 1.17 Generating Frequencies for Compound Events 14.8 Counting and Probability Review 14.9 Counting and Probability Unit Test Unit 15 Statistics 15.1 Graphs 15.2 Measures of Center Appendix Lesson 1.18 Appendix Lesson Your Choice Assessing Numerical Data Distributions Drawing Comparative Inferences 15.4 Stem-and-Leaf Plots 15.5 Frequency Tables and Histograms 15.6 Box-and-Whisker Plots 15.7 Statistics Review 15.8 Statistics Unit Test Unit 16 Semester Review and Test 16.1 Semester Review 16.2 Your Choice 16.3 Your Choice 16.4 Semester Test

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