IM 6.6.8 Lesson: Equal and Equivalent
Find a solution to each equation mentally.
Here is a diagram of and when is 4. Notice that the two diagrams are lined up on their left sides.
In each of your drawings below, line up the diagrams on one side.
In each of your drawings below, line up the diagrams on one side.Draw a diagram of x+2, and a separate diagram of 3x, when x is 3.
Draw a diagram of x+2, and a separate diagram of 3x, when x is 2.
Draw a diagram of x+2, and a separate diagram of 3x, when x is 1.
Draw a diagram of x+2, and a separate diagram of 3x, when x is 0.
When are and equal? When are they not equal? Use your diagrams to explain.
Draw a diagram of x+3, and a separate diagram of 3+x.
When are and equal? When are they not equal? Use your diagrams to explain.
Here is a list of expressions. Find any pairs of expressions that are equivalent. If you get stuck, try reasoning with diagrams.
Below are four questions about equivalent expressions. For each one:
Are and equivalent expressions?
Are and equivalent expressions?
Are and equivalent expressions?
Are and equivalent expressions?