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# Estimating square roots

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### Estimating square roots

1. 1. Warm UpExplain the difference in squaring a number and findthe square root.
2. 2. Activator
3. 3. ComparingSquare Roots
4. 4. ActivatorFind Someone Who…..Look on the back of your seat. If you have anindex card find someone who has you’re answerwithout talking.
5. 5. Comparing Square Roots Steps to Estimating Square Roots• Decide if the radicand (the number under the radical) is a perfect square.• Find two perfect squares that the number is between.• Take the square root of the numbers.• Estimate the final answer.
6. 6. Comparing Square Roots• Steps to Estimating Example Square Roots Estimate √8.• Decide if the radicand • 8 is not a perfect square. (the number under the Therefore, we must radical) is a perfect estimate the answer. square. • √8 is between √4 and √9.• Find two perfect squares • √4= 2 and √9= 3 that the number is between. • √8 is between 2 and 3.• Take the square root of • Since the √8 is closer to the numbers. √9, we can estimate that• Estimate the final answer. the √8 is 2.9.
7. 7. Comparing Square RootsWhat is estimating? Example Estimate √8.How was this process done? • 8 is not a perfect square. Therefore, we must estimateHow would you summarize this the answer.process? • √8 is between √4 and √9. • √4= 2 and √9= 3What is the relationship between • √8 is between 2 and 3.solving non-perfect square roots • Since the √8 is closer to √9, weand perfect square roots? can estimate that the √8 is 2.9.What facts can we compile aboutestimating square roots?
8. 8. Comparing Square RootsEstimate √10 Estimate √32
9. 9. Comparing Square RootsEstimate √48 Estimate √87Label each step. Label each step
10. 10. Closing 5 words or lessDescribe what you learned today in 5 words orless
11. 11. Homework Study NightOn the notes page of the notebook, completethe following:Explain in your own words how to estimatesquare roots. Provide three examples that werenot done in class.