Fractional coefficients

6 teachers like this lesson
Print Lesson

Objective

SWBAT solve equations with fractional coefficients.

Big Idea

Get kids to play matchmaker by matching up fractional coefficients with their perfect match... another fraction with whom they become 1. :)

Warm-up

10 minutes

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.

Play of the Day

40 minutes

In this lesson, I walk kids through some basic equations, and show them that they are essentially creating 1's for coefficients.  For example, 3x = 84.  When you divide by 3 on both sides, you are creating a 1 (3 over 3). 

We can apply this thinking to fractional coefficients.  How can we create “1” with a fractional coefficient?  (We need to multiply by the multiplicative inverse.)  I use an analogy that the kids love… matchmaker.  Make a perfect match – reciprocals are perfect matches, because when multiplied, they yield 1.  

Then, we extend this to negative fractional coefficients as well… how can you create a POSITIVE 1 (a positive relationship with no yelling and arguing)… by using a negative number as the multiplicative inverse.

Huddle

10 minutes

In the huddle in this lesson, we review a bunch of examples where kids make the perfect matches… and I tell the same joke over and over again until it sticks. J  The kids generally love it, and also understand the concept of multiplicative inverse.

Homework

15 minutes

The homework includes questions related to this lesson, as well as spiraled review.  I also provide answers to the problems on page 2.