Jeremy L

Timing: Approximately 7 weeks Linear relationships are among the most prevalent and useful relationships to mathematics and the real world. Any inequality in two variables that exhibits a constant rate of change for these variables is linear. Real-world contexts that have a constant rate of change and data sets with a nearly constant rate of change can be effectively modelled by a linear function. You will explore all aspects of linear relationships in this series: contextual problems that involve constant rate of change, lines in the coordinate plane, arithmetic sequences, and algebraic means of expressing a linear relationship between two quantities. Through this series, you will develop deep skills with linear functions and equations and an appreciation for the simplicity and power of linear functions as building blocks of all higher mathematics. Five days a week, we'll go over one topic. ENDURING UNDERSTANDINGS You will undrstand that ... - A linear relationship has a constant rate of change, which can be visualised as the slope of the associated graph. - There are many ways to algebraically represent a linear function and each form reveals different aspects of the function. - Linear functions can be used to model contextual scenarios that involve a constant rate of change or data whose general trend is linear. - A solution to a two-variable linear equation or inequality is an ordered pair that makes the equation or inequality true. KEY CONCEPTS - 1: Constant rate of change and slope - 2: Linear functions - 3: Linear equations - 4: Linear models of nonlinear scenarios - 5: Two-variable linear inequalities