The Pre-Algebra course prepares students for more advanced study in algebra as students solve linear equations and systems of equations, work with radical and integer exponents, gain conceptual understanding of functions, and use functions to model quantitative relationships. To prepare students for more advanced study in geometry, the course emphasizes the Pythagorean theorem and a deepening exploration of similarity and congruence.

This is the second semester of a two semester course. 

SEMESTER 2

Unit 1: Probability and Statistics

• Line Graphs
• Scatter Plots
• Clusters and Outliers
• Associations in Scatter Plots
• Lines of Best Fit
• Analyzing the Line of Best Fit
• Sample Space
• Theoretical Probability of a Compound Event
• Experimental Probability of Compound Events

Unit 2: Basic Geometric Shapes

• Pairs of Angles
• Complementary and Supplementary Angles
• Triangles
• Angles of a Triangle
• Exterior Angles of a Triangle
• Triangle Inequality Theorem
• Polygons
• Interior Angles of a Polygon

Unit 3: Transformations and Congruence

• Transformations 1
• Transformations 2
• Transformations 3
• Corresponding Parts of Transformed Figures
• Congruence
• Properties of Rigid Transformations
• Rigid Transformations and the Coordinate Plane
• Rigid Transformation Mapping Rules

Unit 4: Dilation and Similarity

• Dilations
• Similarity
• Similarity and Scale
• Dilations and the Coordinate Plane
• Transformations and Dilations
• The AA Criterion
• Similar Triangles
• Applications of Similar Triangles

Unit 5: Irrational Numbers

• Rational Numbers
• Terminating and Repeating Numbers
• Evaluate Square Roots and Cube Roots
• Understand Irrational Numbers
• Approximations of Irrationals
• Simple Radical Equations

Unit 6: The Pythagorean Theorem

• Use the Pythagorean Theorem
• Converse of the Pythagorean Theorem
• Prove the Pythagorean Theorem
• Distances in the Coordinate Plane
• Applications of the Pythagorean Theorem
• Pythagorean Theorem in 3-D
• More Pythagorean Applications

Unit 7: Project: Climate Statistics

• Select Your City and Features
• Describe the Units of Measure
• Construct a Scatter Plot
• Create a Linear Model
• What Did You Learn About Climate Statistics?

Unit 8: Math 8 Semester A and B Assessments

• Semester A Test, Parts 1 and 2
• Semester B Test, Parts 1 and 2