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