Mathematics 8 Linear equations and graphing
Specific Curriculum Outcomes
PR01 Students will be expected to graph and analyze twovariable 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
PR01 Students will be expected to graph and analyze twovariable 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
 (x/a) = b, a ≠ 0
 ax + b = c
 (x/a) + b = c, a ≠ 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.