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Unit 1: Ratios and Proportional Reasoning |
Module 1 – Identify and Represent Proportional Relationships |
Lesson 1: Explore Relationships |
Lesson 2: Recognize Proportional Relationships in Tables |
Lesson 3: Compute Unit Rates Involving Complex Fractions |
Lesson 4: Recognize Proportional Relationships in Graphs |
Lesson 5: Use Proportional Relationships to Solve Rate Problems |
Lesson 6: Practice Proportional Reasoning with Scale Drawings |
Module 2 – Proportional Reasoning with Percents |
Lesson 1: Percent Change |
Lesson 2: Markups and Discounts |
Lesson 3: Taxes and Gratuities |
Lesson 4: Commissions and Fees |
Lesson 5: Simple Interest |
Unit 2: Number Systems and Operations |
Module 3 – Understand Addition and Subtraction of Real Numbers |
Lesson 1: Add or Subtract a Positive Integer on a Number Line |
Lesson 2: Add or Subtract a Negative Integer on a Number Line |
Lesson 3: Use a Number Line to Add and Subtract Rational Numbers |
Module 4 – Fluency with Rational Number Operations |
Lesson 1: Compute Sums of Rational Numbers |
Lesson 2: Compute Differences of Rational Numbers |
Lesson 3: Understand and Compute Products and Quotients of Rational Numbers |
Lesson 4: Write Rational Numbers as Decimals |
Lesson 5: Multiply and Divide Rational Numbers in Context |
Module 5 – Applying Properties to Operations |
Lesson 1: Apply Properties to Multi-Step Problems with Rational Numbers |
Lesson 2: Solve Multi-Step Problems with Rational Numbers in Context |
Lesson 3: Add, Subtract, Factor, and Expand Algebraic Expressions |
Unit 3: Equations and Inequalities in One Variable |
Module 6 – Solve Linear Equations |
Lesson 1: Write Two-Step Equations for Situations |
Lesson 2: Apply Two-Step Equations to Solve Real-World Problems |
Lesson 3: Solve Multi-Step Linear Equations |
Lesson 4: Examine Special Cases |
Lesson 5: Apply Linear Equations |
Module 7 – Solve Problems Using Inequalities |
Lesson 1: Understand and Apply Properties to Solve One-Step Inequalities |
Lesson 2: Write Two-Step Inequalities for Situations |
Lesson 3: Apply Two-Step Inequalities to Solve Problems |
Unit 4: Transform and Construct Geometric Figures |
Module 8 – Transformations and Congruence |
Lesson 1: Investigate Transformations |
Lesson 2: Explore Translations |
Lesson 3: Explore Reflections |
Lesson 4: Explore Rotations |
Lesson 5: Understand and Recognize Congruent Figures |
Module 9 – Draw and Analyze Two-Dimensional Figures |
Lesson 1: Draw Shapes with Given Conditions |
Lesson 2: Draw and Construct Triangles Given Side Lengths |
Lesson 3: Draw and Construct Triangles Given Angle Measures |
Lesson 4: Draw and Analyze Shapes to Solve Problems |
Module 10 – Transformations and Similarity |
Lesson 1: Investigate Reductions and Enlargements |
Lesson 2: Explore Dilations |
Lesson 3: Understand and Recognize Similar Figures |
Unit 5: Similarity, Slope, and Linear Relationships |
Module 11 – Angle Relationships |
Lesson 1: Develop Angle Relationships for Triangles |
Lesson 2: Investigate Angle-Angle Similarity |
Lesson 3: Explore Parallel Lines Cut by a Transversal |
Module 12 – Linear Relationships |
Lesson 1: Explain Slope with Similar Triangles |
Lesson 2: Derive y=mx |
Lesson 3: Derive and Interpret y=mx+b |
Lesson 4: Describe and Sketch Nonlinear Relationships |
Unit 6: Applications of Real Numbers and Exponents |
Module 13 – Real Numbers |
Lesson 1: Understand Rational and Irrational Numbers |
Lesson 2: Investigate Roots |
Lesson 3: Order Real Numbers |
Module 14 – The Pythagorean Theorem |
Lesson 1: Prove the Pythagorean Theorem and Its Converse |
Lesson 2: Apply the Pythagorean Theorem |
Lesson 3: Apply the Pythagorean Theorem in the Coordinate Plane |
Module 15 – Exponents and Scientific Notation |
Lesson 1: Know and Apply Properties of Exponents |
Lesson 2: Understand Scientific Notation |
Lesson 3: Compute with Scientific Notation |
Unit 7: Area and Volume |
Module 16 – Analyze Figures to Find Circumference and Area |
Lesson 1: Derive and Apply Formulas for Circumference |
Lesson 2: Derive and Apply a Formula for the Area of a Circle |
Lesson 3: Areas of Composite Figures |
Module 17 – Cross Sections, Surface Area, and Volume |
Lesson 1: Describe and Analyze Cross Sections of Solids |
Lesson 2: Derive and Apply Formulas for Surface Area of Cubes and Right Prisms |
Lesson 3: Derive and Apply a Formula for the Volume of a Right Prism |
Lesson 4: Find Volume of Cylinders |
Lesson 5: Find Volume of Cones and Spheres |
Lesson 6: Solve Multi-Step Problems with Surface Area and Volume |
Unit 8: Data Analysis and Sampling |
Module 18 – Proportional Reasoning with Samples |
Lesson 1: Understand Representative Samples |
Lesson 2: Make Inferences from a Random Sample |
Lesson 3: Make Inferences from Repeated Random Samples |
Module 19 – Use Statistics and Graphs to Compare Data |
Lesson 1: Compare Center and Spread of Data Displayed in Dot Plots |
Lesson 2: Compare Center and Spread of Data Displayed in Box Plots |
Lesson 3: Compare Means Using Mean Absolute Deviation and Repeated Sampling |
Unit 9: Probability |
Module 20 – Understand and Apply Experimental Probability |
Lesson 1: Understand Probability of an Event |
Lesson 2: Find Experimental Probability of Simple Events |
Lesson 3: Find Experimental Probability of Compound Events |
Lesson 4: Use Experimental Probability and Proportional Reasoning to Make Predictions |
Module 21 – Understand and Apply Theoretical Probability |
Lesson 1: Find Theoretical Probability of Simple Events |
Lesson 2: Find Theoretical Probability of Compound Events |
Lesson 3: Use Theoretical Probability and Proportional Reasoning to Make Predictions |
Lesson 4: Conduct Simulations |