Linear Relations and Equations
Linear equations and their graphs are the backbone of Grade 9 algebra. Students move between all representations — table, graph, equation, context — and solve increasingly complex equations. The connection between the algebraic solution and the graph intersection deepens understanding: solving 2x + 3 = 9 is the same as finding where y = 2x + 3 meets y = 9.
What students explore
Linear equations and their graphs are the backbone of Grade 9 algebra. Students move between all representations — table, graph, equation, context — and solve increasingly complex equations. The connection between the algebraic solution and the graph intersection deepens understanding: solving 2x + 3 = 9 is the same as finding where y = 2x + 3 meets y = 9.
Key ideas
Graph linear relations from equations, tables, and descriptions. Find x- and y-intercepts and interpret them in context. Solve multi-step linear equations and equations with variables on both sides. Model and solve real-world situations with linear equations.
Putting it together
Apply these ideas through worked examples, guided practice, and real-world problems.