This is a game I call Name that Operation. I use it to help the students build on prior knowledge of inverse operations and then use that to understand the connection between squares and square roots, cubes and cube roots and then later in the year, distributive property and factoring. Here are some slides I use in class to play the game:
Students quickly see that you must add 4 to go from 5 to 9 and then subtract 4 to go from 9 to 5 and now they understand the game.
Students see +8 and -8. Then I ask for a different operation and they see *3 and /3.
Now they see *7 and /7 and then I ask if there is another way to write 7*7 and some students know that 7^2 means 7*7. So then I ask, what would be the inverse operation for squaring a number. Usually some students are familiar with square roots. This next slide shows where the term square root might have come from.
Then I show the next slide to make the connection to geometry: the length of the side of a square squared is the area, the square root of the area of a square gets you back to the side of a square.
And this slide is used later in the year to help students see the connection between distributive property and factoring.
