Principles of Mathematics, Grade 9 Academic Algebra I

Description

Class begins September 7, 2026 and ends January 20, 2027. Class is held every Monday, Tuesday, and Wednesday from 10:00 – 10:40 am EST.

• Introduction to Algebra, including translating word phrases into algebra and evaluating algebraic expressions

• Improving Number Sense, including Real Numbers, Absolute Numbers, Positive and Negative Integers, Fractions, Decimals, Order of Operations, and Scientific Notation

• Properties of Algebra, including simplifying Algebraic Expressions and writing formulas

• Solving Linear Equations using the Addition Properties of Equality and Multiplication Properties of Equality

• Solving Linear Equations with one to two variables, Absolute Values, and word problems

• Understanding Slope-Intercept Form and Point-Slope Form

• Determine whether lines are parallel or perpendicular

• Solving and Graphing Linear Inequalities using the Addition and Multiplication Property of Inequality

• Solving Compound Inequalities, Absolute Value Inequalities, and Linear Inequalities in Two Variables

• Solving Systems by Graphing, Substitution, and Elimination

• Adding, subtracting, multiplying, and dividing Monomials, Binomials, and Polynomials

• Simplifying, solving and writing Equation for Polygons

• Understanding Factoring with Greatest Common Factors, Coefficients of 1 and other than 1

• Perfect Square Trinomials and the Difference between Two Squares

• Understanding Roots and Radicals, adding, subtracting, and multiplying radicals

• Pythagorean Theorem and Distance Formula

• Solving Using the Quadratic Formula

• Data Management with Bar Graphs, Circle Graphs, Stem-and-Leaf Plots, Histograms, Box-and-Whisker Plots, Scatter Plots

• Probability of a Single Event and Multiple Events

• Simplifying, multiplying, and dividing Rational Expressions

• Fractions: Adding and Subtracting with a Common Denominator, Least Common Denominator, and Adding and Subtracting with Different Denominators

• Ratios, Proportions, and Work

• Direct Variation

• Introduction to Functions, Domain of Functions, Zeros of Functions

• Graphing Parabolas in Standard Position

• Vertical Translation of Functions and Horizontal Translations of Functions

• Using the Parabola Vertex Formula

Course content meets requirements for the Ontario Course MPM1D Academic and the American Algebra 1 Course and is worth one high school math credit in Mathematics.

Textbook and shipping included in course price

Class begins September 7, 2026 and ends January 20, 2027. Class is held every Monday, Tuesday, and Wednesday from 10:00 – 10:40 am EST.