SUB! How can we use the properties of algebra to figure out the intersection of two lines WITHOUT graphing? (Day 1 of 3)

Each day, students complete a warm-up that usually consists of spiraling the previous day's material, in addition to older material.  Warm-up problems also sometimes extend lessons that students have encountered before to more unfamiliar contexts.

In today's case, I use Jack and Jill to review applying the concept of systems while simultaneously hitting the idea of constructing functions.  I find it's encredibly useful to have kids see real-world applications day after day, consistently, rather than just on one "word problem day."  I feel this fluid movement between application and procedural fluency creates the balance called for in the Common Core.

For a video narrative about how I structure each lesson, and how the warm-up fits in, click here.

The homework file is a resource that generally includes 5-7 problems that consist of problems related to this lesson, as well as spiraled review.  I also give the kids the answers to the problems. 

Sometimes, the HW file is a take-home assessment.