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IM 8.4.6 Lesson: Strategic Solving

Author:GeoGebra Classroom Activities, IM 6 – 8 Math

The triangle and the square have equal perimeters.

Find the value of .

What is the perimeter of each of the figures?

Triangle:

Square:

Without solving, identify whether these equations have a solution that is positive, negative, or zero.

Select all that apply
  • A
  • B
  • C
Check my answer (3)

Select all that apply
  • A
  • B
  • C
Check my answer (3)

Select all that apply
  • A
  • B
  • C
Check my answer (3)

Select all that apply
  • A
  • B
  • C
Check my answer (3)

Select all that apply
  • A
  • B
  • C
Check my answer (3)

Select all that apply
  • A
  • B
  • C
Check my answer (3)

Select all that apply
  • A
  • B
  • C
Check my answer (3)

Here are a lot of equations:

Without solving, identify 3 equations that you think would be least difficult to solve.

A. F.
B. G.
C. H.
D. I.
E. J. 
Explain your reasoning.

Choose 3 equations to solve. At least one should be from your "least difficult" list and one should be from your "most difficult" list.

Equation 1: (least difficult)

Mai gave half of her brownies, and then half a brownie more, to Kiran. Then she gave half of what was left, and half a brownie more, to Tyler. That left her with one remaining brownie. How many brownies did she have to start with?

Equation 2:

Equation 3: (most difficult)

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