Using A Calculator 2

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Presenation originally wrtten to support the teaching of OCR GCSE Mathematics Module 6, chapter 1: Using a calculator effectively. …

Presenation originally wrtten to support the teaching of OCR GCSE Mathematics Module 6, chapter 1: Using a calculator effectively.

Calculating powers and roots

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  • This presentation was adapted from one that I used with my class. There is also a set of work cards, designed for students to use in groups as they work on a chapter. All the resources are available to download via www.morethanmaths.com/m6

Transcript

  • 1. We Are Learning:
    • How to use the power keys on a scientific calculator
    • (powers are also known as indices or exponents)
    • How to use the root keys on a scientific calculator
  • 2. Important Advice:
    • Different makes and models of calculator have different designs of keys. Yours might not look like the examples in this presentation.
    • Ask your teacher for advice about
    • how your calculator works.
    • This presentation was made for students in the United Kingdom. I’ve tried to include alternative terms for students from outside the UK –sorry if there are any problems!
  • 3. The x 2 key
    • Your calculator probably has a button like this:
    • Can you find this on your calculator?
    • Watch out! It might be a second function, if it is you will need to push shift or 2ndF to make it work.
    X 2
  • 4. The x 2 key
    • Try pushing these keys:
    • You should see the answer 16.
    • What calculation do you think the x 2 button does?
    • Try changing the number 4 to something else and do the calculation again.
    • What happens now?
    4 X 2 =
  • 5. The x 2 key
    • Can you work these out on your calculator?
    • (a) 5 2
    • (b) 8 2
    • (c) 25 2
    • (d) 45 2
    • (e) 120 2
  • 6. The x 2 key : Answers
    • How many did you get right?
    • (a) 5 2 = 25
    • (b) 8 2 = 64
    • (c) 25 2 = 625
    • (d) 45 2 = 2025
    • (e) 120 2 = 14400
  • 7. The y x key
    • Can you find a button your calculator that looks like one of these?
    • They all do the same thing, but some makes of calculator use different designs to others.
    • Watch out! This might be a second function, if it is you will need to push shift or 2ndF to make it work.
    y x X y ^
  • 8. The y x key
    • Try pushing these keys.
    • What answer do you get?
    • What calculation might have given that answer?
    4 y x 2 =
  • 9. The y x key
    • Now try pushing these keys.
    • What answer do you get?
    • What calculation might have given that answer?
    • Try it again with some different numbers.
    • Can you work out what this button does?
    2 y x 3 =
  • 10. The y x key
    • These buttons work out powers or exponents
    • To calculate 5 3 , push these keys:
    y x X y ^ 5 y x 3 =
  • 11. The y x key: Test Yourself
    • Check that you know how to use this key by doing these calculations.
    • If you get the correct answer, then you are using your calculator correctly.
    • (a) 3 4 (correct answer: 81)
    • (b) 2 5 (correct answer: 32)
    • (c) 6 3 (correct answer: 216)
    • (d) 12 4 (correct answer: 20736)
    • (e) 15 5 (correct answer: 759375)
  • 12. The √ _ key
    • Your calculator should have a button like this:
    • Can you find this key on your calculator?
    √ _
  • 13. The √ _ key
    • Try pushing these keys.
    • You should see the answer 3.
    • What calculation do you think the √ _ button does?
    HINT: Some calculators work in a slightly different way. If you don’t get the answer 3, try keying 9 in first and then press √ _ 9 = √ _
  • 14. The √ _ key
    • Now try these:
    • What calculation do you think the √ _ button does?
    2 = √ _ 5 1 = √ _ 6
  • 15. The √ _ key
    • The √ _ button is used to calculate square roots
    • Did you manage to work that out for yourself?
    √ _
  • 16. The √ _ key
    • Can you work these out on your calculator?
    • (a)
    • (b)
    • (c)
    • (d)
    • (e)
  • 17. The √ _ key: answers
    • How many correct answers did you get?
    • (a) = 8
    • (b) = 11
    • (c) = 15
    • (d) = 20
    • (e) = 23
  • 18. Finding roots
    • Can you find a button your calculator that looks like one of these?
    • Watch out! It might be a second function, if it is you will need to push shift or 2ndF to make it work.
  • 19. Finding roots
    • Try pushing these keys.
    • What answer do you get?
    • What calculation might have given that answer?
    3 8 =
  • 20. Finding roots
    • Now try pushing these keys.
    • What answer do you get?
    • What calculation might have given that answer?
    6 3 = 4
  • 21. Finding roots
    • Try it again using these keys.
    • What answer do you get?
    • Can you work out what this button does?
    1 4 = 6
  • 22. Finding roots
    • This will calculate the cube root of 64:
    • = 4
    • Did you manage to work that out for yourself?
    6 3 = 4
  • 23. Summary:
    • You should know how to use your calculator to find squares and square roots
    • You should know which key calculates powers (exponents) and how to use it
    • You should know which key calculates roots and how to use it