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# Inversion

An engaging rap song for teaching additive and multiplicative inverse to students. Includes fun worksheets and multiple versions of the song to assist with scaffolding.

This song teaches the additive inverse, the number's opposite, by explaining that the sum of the two will be zero. It also explains the multiplicative inverse found by switching the numerator and denominator so that the product of the two numbers equals one. The teaching materials, including lyrics and worksheets, are resources for teachers and homeschool parents to create lesson plans for the song topic. Students will understand inversions and how to find them.

This math song is suitable for teaching the two types of inversions to elementary school (4th grade, 5th grade and 6th grade), middle school, high school and home school students as well as beginning college classes.
Chorus
Inversion, you’ve got two types
One kind you add, one kind you multiply
(×4)

Verse I
The additive inverse of a number is its opposite
So when you add them together, you get zero out of it
It might sound a little complicated, but
I’m here to give you examples so you don’t have to fake it
(−7) + 7 is ZERO
3.2 + (−3.2), ZERO
1∕5 + (−1∕5), ZERO
Now watch your mathematical fear turn to ZERO

Chorus

Verse II
The multiplicative inverse is a number’s reciprocal
So when you multiply them, you know the typical answer is 1
And that’s why I’ve come
So let me tell everybody how it’s done
If you have an integer, put a 1 below
To find the multiplicative inverse, you know
Bring the bottom number up and put the top one below
7 × 1∕7 is ONE
8∕3 × 3∕8 is ONE
0.25 × 4 is ONE
Without a doubt, if you can’t do decimals, you better find out!

Math is Fun
Inverse Relationships
This site provides clear simple explanations on inverse relationships in addition and multiplication.

Reciprocal
Using examples, this website explains how to form reciprocals for use in algebra. Simple and clear explanation.

#### Lesson Plans & Activities

Illinois Institute of Technology
This activity teaches students about the additive inverse. A little tricky but useful.

## It’s All in the Surface

An engaging rap song for teaching surface area formulas to students. Includes fun worksheets and multiple versions of the song to assist with scaffolding.