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Estimating Cube Roots: Techniques for Calculators and Mental Math

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This lesson explores how to estimate cube roots both with a calculator and mentally. It includes practical examples to enhance understanding, such as finding the cube root of 812 and the side lengths of cubes with given volumes. Through various exercises, students will learn the importance of identifying perfect cubes and using benchmarks to make quick estimates. The lesson culminates with a summary of key concepts and various methods for finding cube roots, promoting stronger mathematical skills in estimation techniques.

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Estimating Cube Roots: Techniques for Calculators and Mental Math

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Presentation Transcript

  1. Splash Screen

  2. Main Idea and Vocabulary Key Concept: Cube Roots Example 1: Use a Calculator to Estimate CubeRoots Example 2: Estimate Cube Roots Mentally Example 3: Estimate Cube Roots Mentally Example 4: Estimate Side Lengths of Cubes Lesson Menu

  3. Estimate and use cube roots. • cube root Main Idea and Vocabulary

  4. Key Concept

  5. 4 144 5.241482788 MATH ENTER Use a Calculator to Estimate Cube Roots Use a calculator. Round to the nearest tenth. Answer: 5.2 CHECK Since 53 = 125, the answer is reasonable. Example 1

  6. A B C D A. 6.8 B. 3.6 C.15.3 D.1.3 Example 1

  7. Estimate Cube Roots Mentally The first perfect cube less than 812 is 729. The first perfect cube greater than 812 is 1,000. The cube root of 812 is between the whole numbers 9 and 10. Example 2

  8. Since 812 is closer to 729 than to 1,000, is closer to 9 than to 10. Estimate Cube Roots Mentally Answer: 9 Example 2

  9. A B C D A. 3 B. 4 C. 5 D. 8 Example 2

  10. Estimate Cube Roots Mentally The first perfect cube less than –25 is –27. The first perfect cube greater than –25 is –8. The negative cube root of 25 is between the integers –2 and –3. Example 3

  11. Since –25 is closer to –27 than to –8, is closer to –3 than to –2. Estimate Cube Roots Mentally Answer: –3 Example 3

  12. A B C D A. –4 B. –5 C. –6 D. –15 Example 3

  13. The side length of the cube equals the cube root of the volume, or . Estimate Side Lengths of Cubes GEOMETRY Estimate the length of one side of a cube whose volume is 250 cubic meters. 250 is between the perfect cubes 216 and 343. So, the cube root of 250 is between 6 and 7. Example 4

  14. Since 250 is closer to 216 than to 343, is closer to 6. Estimate Side Lengths of Cubes Answer: The length of one side is about 6 meters. Example 4

  15. A B C D GEOMETRY Estimate the length of one side of a cube whose volume is 460 cubic feet. A. 5 ft B. 6 ft C. 7 ft D. 8 ft Example 4

  16. end of the lesson End Lesson

  17. Image Bank Math Tools Resources

  18. End of Custom Shows

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