Middle School Pre-Algebra

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Description

Pre-Algebra will emphasize the following areas: representing numbers in scientific notation and extending the set of numbers to the system of real numbers, which includes irrational numbers; generate equivalent numeric and algebraic expressions including using the Laws of Exponents; creating and reasoning about linear relationships including modeling an association in bivariate data with a linear equation; solving linear equations, inequalities, and systems of linear equations; developing an understanding of the concept of a function; and analyzing two-dimensional figures, particularly triangles, using distance, angle, and applying the Pythagorean Theorem.

Segment One

Module 01 - Numerical Expressions

• Numerical Expressions Introduction
• Irrational Numbers
•  Laws of Exponents with Integer Exponents
•  Order of Operations with Radicals
•  Scientific Notation
•  Adding and Subtracting with Scientific Notation
•  Multiplying and Dividing with Scientific Notation
• Scientific Notation in the Real World

Module 02 - Algebraic Equations and Inequalities

• Algebraic Equations and Inequalities Introduction
• Equivalent Algebraic Expressions
• Multiplying Linear Expressions
• Factoring Algebraic Expressions
• Multi-Step Linear Equations
• Solving Equations Using Square and Cube Roots
• Two-Step Linear Inequalities

Module 03 - Angles and Triangles

• Angles and Triangles Introduction
• Pythagorean Theorem
• Pythagorean Theorem and the Coordinate Plane
• Angle Relationships
• Interior and Exterior Angles
• Polygon Angle Sums

Segment Two

Module 04 - Linear Equations

• Linear Equations Introduction
• Linear Relationships
• Slope
•  Slope-Intercept Form
• Graphing Linear Equations
• Systems of Linear Equations

Module 05 - Statistics and Probability

• Statistics and Probability Introduction
• Identifying Functions
• Linear Functions
• Scatter Plots
• Line of Fit
• Theoretical Probability
• Experimental Probability

Module 06 - Transformations

• Transformations Introduction
• Identifying Transformations
• Translations
• Reflections
• Rotations
• Dilations
• Similar Triangles