1. Estimating Square Roots and Cube Roots

2. Review of Perfect Square Roots

3. What About This?

4. Rule You cannot take the square root of a negative number because no rational number can be squared to produce a negative product.

5. What About This Then?

6. Non – Perfect Roots As you know, most square roots cannot be represented with a single integer. However, we can estimate the roots to be between two integers, and further estimate the root to the tenths place, hundredths place and so on.

7. Think Pair Share Why are you unable to provide an exact answer for all square roots? “An exact answer cannot be calculated for all square roots because….”

8. Estimating Roots Between Integers Let’s start nice and easy: Estimate the square root of 12 between two integers

9. Estimating Roots Between Integers Let’s start nice and easy: Estimate the square root of 30 between two integers

10. Estimating Roots Between Integers Let’s start nice and easy: Estimate the square root of 70 between two integers

11. Estimating Roots Between Integers Let’s start nice and easy: Estimate the square root of 110 between two integers

12. Estimating to the Tenths Place Once we estimate the square root between two integers, we can begin to improve the accuracy of our estimate to the tenths place.

13. Informally Estimate the square root of 20.

14. Informally Estimate the square root of 55.

15. Informally Estimate the square root of 63.

16. Informally Estimate the square root of 40.

17. Cube Roots

18. Your Turn

19. What About This

20. Non Perfect Cube Roots Estimate the cube root between two integers:

21. Non Perfect Cube Roots Estimate the cube root between two integers:

22. Rule You can take the cube root of a number because a negative integer cubed always produces a negative product.

23. Closure How do you estimate a square root between two integers?

24. Closure Why can you take the cube root of a negative number, but not the square root of a negative number?