Lesson 2: Square Roots and Cube Roots
Module 2: Roots and Powers
Launch
This section checks to see if you have the prerequisite knowledge and skills to be able to complete this lesson successfully.
Are You Ready?
Complete these questions in your course folder (binder). If you are experiencing difficulty, you may want to use the information and the multimedia in the Refresher section to clarify concepts before completing these exercises.
1. What is the area of a square with a side length of 6 cm?
2. What are the dimensions of a square with an area of 81 ft2?
3. Complete the table.
4. Express the following numbers as a product of primes:
a. 24
b. 90
Once you have completed these exercises to the best of your ability, use the provided answer link to check your work.
 If you feel comfortable with the concepts covered in the questions, move forward to Discover. If you experienced difficulties or want more practice, use the resources in Refresher to review these important concepts before continuing through the lesson or contact your teacher.
 Refresher
How did you do? Did you remember the relationship between the length of a square and its area?
If you are not completely sure about square roots, have a look at the “Square Roots” applet. It provides a definition and example of square roots, as well as a method of how to estimate a square root.
Go to “Exploring Square Roots,” where you can drag sliders to determine the length of a side of a square. This allows you to see the relationship between the area of a square (a number) and the length of the side of the square (the square root of the number). Experiment with the image by dragging the slider to increase or decrease the area.
Materials
- Grid Paper (either electronic or paper)
 
You will also require these materials to complete Math Lab: Manipulatives.
- 150 counters or pennies
 - 150 unit blocks or sugar cubes
 

