Topic
Algebra
7 articles on algebra: the maths or physics explained, ready-to-teach lesson plans, and how to build each slide in Tracé.
Teaching Slope and y = mx + b: An Animated Lesson PlanA slope lesson students can see: rise over run, what m and b do to a line, the usual mistakes, check questions, and live sliders for m and b.
Solving Linear Equations: A Step-by-Step Lesson PlanTeach solving linear equations as undoing steps: a balance-based lesson, worked examples, the classic sign mistakes, check questions and animated steps.
Solving Quadratic Equations by Factoring: Lesson PlanSolve quadratic equations by factoring: the zero-product rule, the product–sum method, a worked example, common mistakes and checks, with the graph alongside.
Graphing Quadratic Functions in Vertex Form: Lesson PlanTeach vertex form y = a(x − h)² + k: what a, h and k do to a parabola, completing the square, the sign trap with h, and live sliders to explore it.
Exponential Growth and Decay: A Lesson PlanTeach exponential growth and decay with y = a·bˣ: doubling, half-life, compound interest, why exponential beats x², common mistakes and check questions.
Solving Systems of Equations by Graphing: Lesson PlanTeach systems of linear equations by graphing: the intersection as the solution, one, none or infinitely many solutions, substitution as a check, and mistakes.
Expanding Brackets and (a + b)²: An Area Model LessonTeach expanding brackets with the area model: why (a + b)² = a² + 2ab + b², not a² + b², the difference of two squares, mistakes and check questions.