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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