8th Grade pre-algebra

September/October:  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 

November/December:  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

January:  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

February:  Topic 5:  Analyze and Solve Systems of Linear Equations--4 weeks

• • Estimate Solutions by Inspection

  • Solve Systems by Graphing

  • Solve Systems by Substitution

  • Solve Systems by Elimination 

March:  Topic 6: Congruence and Similarity--5 weeks

• • Analyze Translations

  • Analyze Reflections

  • Analyze Rotations

  • Compose Transformations

  • Understand Congruent Figures

  • Describe Dilations

  • Understand Similar Figures

  • Angles, Lines, and Transversals

  • Interior and Exterior Angles of Triangles

  • Angle-Angle Triangle Similarity

April:  Topic 7:  Understand and apply Pythagorean Theorem--3 weeks

• • Understand the Pythagorean Theorem

  • Understand the Converse of the Pythagorean Theorem

  • Apply the Pythagorean Theorem to Solve Problems

  • Find Distance in the Coordinate Plane

May:  Topic 8: Solve Problems Involving Surface Area and Volume--3 weeks

• • Find Surface Area of Three-Dimensional Figure

  • Find Volume of Cylinders

  • Find Volume of Cones

  •  Find Volume of Spheres

May/June:  Topic 4: Investigate Bivariate Data--3 weeks

• • Construct and Interpret Scatter Plots

  • Analyze Linear Associations

  • Use Linear Models to Make Predictions

  • Interpret Two-Way Frequency Tables

  • Interpret Two-Way Relative Frequency Tables