7th Grade Pre-AlGebra

September and October:  7th grade Topic 1: Rational Number Operations --4 weeks

• • Relate Integers and Their Opposites.

  • Understand Rational Numbers

  • Add Integers

  • Subtract Integers 

  • Add and Subtract Rational Numbers

  • Multiply Integers

  • Multiply Rational Numbers

  • Divide Integer

  • Divide Rational Numbers

  • Solve Problems with Rational Numbers . 

October:  7th grade Topic 2: Analyze and Use Proportional Relationships --4 weeks

• • Connect Ratios, Rates, and Unit Rates 

  • Determine Unit Rates with Ratios of Fractions

  • Understand Proportional Relationships: Equivalent Ratios

  • Describe Proportional Relationships: Constant of Proportionality

  • Graph Proportional Relationships

  • Apply Proportional Reasoning to Solve Problems

November:  7th grade Topic 3: Analyze & Solve Percent Problems --4  weeks

• • Analyze Percents of Numbers

  • Connect Percent and Proportion

  •  Represent and Use the Percent Equation

  • Solve Percent Change and Percent Error Problems

  • Solve Markup and Markdown Problems

  • Solve Simple Interest Problems 

December:  7th grade Topic 5: Solve Problems Using Equations and Inequalities--4  weeks

• Write Two-Step Equations 

• Solve Two-Step Equations 

•  Solve Equations Using the Distributive Property 

• Solve Inequalities Using Addition or Subtraction 

• Solve Inequalities Using Multiplication or Division 

• Solve Two-Step Inequalities 

• Solve Multi-Step Inequalities 

January:  7th grade Topic 7: Probability--3  weeks

• Understand Likelihood and Probability 

• Understand Theoretical Probability 

• Understand Experimental Probability 

• Determine Outcomes of Compound Events 

• Find Probabilities of Compound Events 

January/February: 8th grade Topic 1: Real Numbers --7 weeks

• • Rational Numbers as Decimals

  • Understand Irrational Numbers

  • Compare and Order Real Numbers

  • Evaluate Square Roots and Cube Roots

  • Solve Equations Using Square Roots and Cube Roots

  • Use Properties of Integer Exponents

  • More Properties of Exponents

  • Use Powers of 10 to Estimate Quantities

  • Understand Scientific Notation

  • Operations with Numbers in Scientific Notation 

March/April:  8th grade Topic 2: Analyze and Solve Linear Equations --8 weeks

• • Combine Like Terms to Solve Equations

  • Solve Equations with Variables on Both Sides

  • Solve Multistep Equations

  •  Equations with No Solutions or Infinitely Many Solutions

  • Compare Proportional Relationships

  • Connect Proportional Relationships and Slope

  • Analyze Linear Equations: y = mx

  • Understand the y-Intercept of a Line

  • Analyze Linear Equations: y = mx + b

May:  8th grade Topic 3: Use Functions to Model Relationships--4 weeks

• • Understand Relations and Functions

  • Connect Representations of Functions

  • Compare Linear and Nonlinear Functions

  • Construct Functions to Model Linear Relationships

  • Intervals of Increase and Decrease

  • Sketch Functions From Verbal Descriptions

May/June:  8th grade Topic 6: Congruence and Similarity and Topic 7:  Understand and apply Pythagorean Theorem--5 weeks

• • Understand Similar Figures

  • Angles, Lines, and Transversals

  • Interior and Exterior Angles of Triangles

  • Angle-Angle Triangle Similarity

  • Understand the Pythagorean Theorem

  • Understand the Converse of the Pythagorean Theorem

  • Apply the Pythagorean Theorem to Solve Problems

  • Find Distance in the Coordinate Plane