MAthematics 9 Linear Equations and inequalities
Specific Curriculum Outcomes
PR03 Students will be expected to model and solve problems, where a, b, c, d, e, and f are rational numbers, using linear equations of the form.
PR04 Students will be expected to explain and illustrate strategies to solve single variable linear inequalities with rational coefficients within a problem-solving context.
PR03 Students will be expected to model and solve problems, where a, b, c, d, e, and f are rational numbers, using linear equations of the form.
- ax = b
- x/a = c, a not equal to 0
- ax + b = c
- x/a + b = c, a not equal to 0
- ax = b + cx
- a(x + b) = c
- ax + b = cx + d
- a(bx + c) = d(ex + f)
- a/x = b, x not equal to 0
PR04 Students will be expected to explain and illustrate strategies to solve single variable linear inequalities with rational coefficients within a problem-solving context.
PR03 activities
- Solving Multi-Step Equations Visually - How Many Sour Patch Kids Are In A Bag? a video from Kyle Pearce - Introducing solving linear equations can be challenging when students have a difficult time visualizing the algebra we are using. Start with a visual of candy on a scale, then slowly introduce variables once students get the hang of it! Here, the equation we are looking at is 3x + 6 = 4x + 3.
PR04 Activities
- Inequalities on the Number Line Desmos Activity - In this activity, students explore linear inequalities and make connections among multiple representations (including algebraic expressions, verbal statements, number line graphs, and solution sets).
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- Inequalities Point Collector Desmos Activity - In this activity, students apply (and deepen) their knowledge of one-variable inequalities to "collect" as many points on the number line as they can. The activity focuses on simple and compound inequalities. More advanced inequalities are welcome, but not required.
- Inequalities Matching Card Sort from Sarah Carter - Students match cards with algebraic inequalities to the pictures of their graph on a number line.