## Mathematics 8 Linear equations and graphing

**Specific Curriculum Outcomes**

**PR01**

**Students will be expected to graph and analyze two-variable linear relations.**

**PR02**

**Students will be expected to model and solve problems, concretely, pictorially, and symbolically, where a, b, and c are integers, using linear equations of the form**

- $ax = b$
- $\frac{x}{a} = b, a \neq 0$
- $ax + b = c$
- $\frac{x}{a} + b = c, a \neq 0$
- $a(x + b) = c$

## activities

**Solving Linear Equations from Mathematics Assessment Project**- students work collaboratively in pairs or threes, matching equations to stories and then ordering the steps used to solve these equations. Throughout their work, students explain their reasoning to their peers.

**Daedaulus and Icarus from Math Pickle**- Ask students to choose any positive integer n. If n is even, divide it by 2 to get n / 2. If n is odd, multiply it by 3 and add 1 to obtain 3n + 1. Repeat this process. Can they find a number that doesn't eventually reach 1? If they can, they have disproved the Collatz Conjecture, an open problem in mathematics. The math pickle website puts this in a context of Daedaulus trying to fly to escape King Minos.