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IM 8.8.5 Practice: Reasoning About Square Roots

Author:GeoGebra Classroom Activities, IM 6 – 8 Math

Explain how you know that  is a little more than 6.

Explain how you know that  is a little less than 10.

Explain how you know that  is between 5 and 6.

Plot each number on the number line: 6, √83, √40, √64, 7.5

The equation has two solutions. This is because both, and also . . So, 5 is a solution, and also -5 is a solution. Select all the equations that have a solution of :

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

Find all the solutions to each equation.

Select all the irrational numbers in the list.

Select all that apply
  • A
  • B
  • C
  • D
  • E
  • F
  • G
Check my answer (3)

Each grid square represents 1 square unit. What is the exact side length of the shaded square?

For each pair of numbers, which of the two numbers is larger?

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

Estimate how many times larger.

For each pair of numbers, which of the two numbers is larger?

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

Estimate how many times larger.

For each pair of numbers, which of the two numbers is larger?

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

Estimate how many times larger.

The scatter plot shows the heights (in inches) and three-point percentages for different basketball players last season. Circle any data points that appear to be outliers.

Compare any outliers to the values predicted by the model.

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