This course covers the learning outcomes and goals of solving basic equations, including 1-step and 2-step equations, equations with mixed numerals, algebraic fractions, and quadratic equations. Students will learn different approaches to solving equations, translating words into algebra, and interpreting word problems. The course teaches skills such as using commutative, associative, and distributive laws, collecting like terms, expanding brackets, and balancing equations. The teaching method includes lectures, examples, quick questions, and problem-solving sessions. The intended audience for this course is individuals looking to build a strong foundation in algebra and improve their equation-solving skills.
Overview
Syllabus
1-Step & 2-Step Equations.
Discussion: Different Approaches to Solving One Equation.
Introduction to Solving Equations.
Solving Equations with Mixed Numerals.
Solving Equations: What happens when the pronumeral has a square root (√a)?.
Solving Equations: What happens when the pronumeral is squared (a²)?.
Review: Commutative, Associative & Distributive Laws.
Translating Words into Algebra.
Solving Equations by Collecting Like Terms (1 of 2).
Solving Equations by Collecting Like Terms (2 of 2).
Solving Equations with Expanding Brackets.
What's the difference between an expression & an equation?.
A Metaphor for Understanding Equations.
What is the 'solution' of an equation?.
Solving Equations w/ Algebraic Fractions (Example 1 of 3).
Solving Equations w/ Algebraic Fractions (Example 2 of 3).
Solving Equations w/ Algebraic Fractions (Example 3 of 3).
Balancing & Backtracking: 2 Approaches for 1-Step Equations.
Solving Algebraic Equations by Expanding Brackets.
Solving Simple Linear Equations (1-Step & 2-Step).
Solving Simple Linear Equations (Quick Questions #1).
Solving Equations w/ Variables on Both Sides.
Solving Simple Linear Equations (Quick Questions #2).
Solving Linear Equations w/ Brackets.
Solving Simple Linear Equations (Quick Questions #3).
Solving Simple Quadratic Equations.
Equations: Interpreting & Solving Word Problems.
Solving Equations (1 of 2: Reviewing Algebraic Equations).
Solving Equations (2 of 2: Using two methods to solve the same algebraic equation).
Equations & Formulas.
Probability Overview (summary of concepts & tools).
Solving Equations with Brackets (1 of 2: Review & introduction).
Solving Equations with Brackets (2 of 2: Trickier examples).
Solving Equation Problems (1 of 3: Reviewing abstract equations).
Solving Equation Problems (2 of 3: Using inverses to change the subject).
Solving Equation Problems (3 of 3: Translating to an equation).
Taught by
Eddie Woo
