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Year 8: Changing the Subject

Year 8: Changing the Subject. Dr J Frost (jfrost@tiffin.kingston.sch.uk) . Last modified: 27 th August 2013. Recap. Solve the following equations:. ?. ?. Changing the subject of a formula. The formula to calculate a temperature in Fahrenheit if we have the temperature in Celsius:.

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Year 8: Changing the Subject

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  1. Year 8: Changing the Subject Dr J Frost (jfrost@tiffin.kingston.sch.uk) Last modified: 27th August 2013

  2. Recap Solve the following equations: ? ?

  3. Changing the subject of a formula The formula to calculate a temperature in Fahrenheit if we have the temperature in Celsius: The subject of the formula is the variable the appears on its own on one side of the equation (usually the left) and not on the other side. But what if we had say the temperature in Fahrenheit, and wanted to know it in Celsius?

  4. Changing the subject of a formula Make the subject of the formula. ? ? ? ?

  5. The Wall of Rearrangement Destiny “To master ways of changing subject ninja, make subject you must.”

  6. Make the subject. x = y + 3 x = y – 3 x = 3 – y x = 3y

  7. Make the subject. x = y + 3 x = y – 3 x = 3 – y x = 3y

  8. Make the subject.

  9. Make the subject.

  10. Make the subject.

  11. Make the subject.

  12. Make the subject.

  13. Make the subject.

  14. Questions from previous Tiffin assessments Make the subject of the formula: or ? Make the subject of the formula: ? Make the subject of the formula: ?

  15. Exercises Answers to harder questions: Rayner Year 9 Page 173 Exercise 1 Odd numbers ? 33 ? 35 ? 37

  16. Rearrangement using fractions Make the subject of the formula: ? ? We can use the ‘triangle method’ to rearrange the second example instantly.

  17. Examples Make the subject of the formula: ? ? ?

  18. Rearrangement using negations Make the subject of the formula: ? ? With practice you can do this in one step: If , then You can switch the order of the term you’re extracting and the result, e.g.

  19. Exercises Answers to harder questions: (Ex2) Rayner Year 9 Page 174 Exercise 2 Odd numbers ____________ Page 176 Exercise 3 Odd numbers ? 21 ? 29 Answers to harder questions: (Ex3) ? 19 ? 21

  20. Recap Make the subject of the formula: ? ?

  21. Dealing with squared/rooted terms ? ? ? ? ? ?

  22. Exercises Answers to harder questions: (Ex2) Rayner Year 9 Page 176 Exercise 4 Odd numbers ? 21 ? 23

  23. Check your understanding Can you make the subject of all these equations? If so, then you’re probably ready for the QQQ. ? ? ? ? ?

  24. Make the subject.

  25. Make the subject.

  26. Make the subject.

  27. Make the subject.

  28. Make the subject.

  29. Activity Time! There are 3 levels, each of increasing difficulty. Once you’ve completed all the questions in Level 1, check your answers with me – after which you can advance onto the next level. Merit on offer to anyone who can complete all Level 3 questions.

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