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Middle School Pre-Algebra

Pre Requisites

MJ Grade 7 Mathematics

Description

Instructional time for Grade 8 Mathematics: Pre-Algebra will emphasize six areas:1. representing numbers in scientific notation and extending the set of numbers to the system of real numbers, which includes irrational numbers2. generate equivalent numeric and algebraic expressions including using the Laws of Exponents3. creating and reasoning about linear relationships including modeling an association in bivariate data with a linear equation4. solving linear equations, inequalities, and systems of linear equations5. developing an understanding of the concept of a function6. 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

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