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Sorting Equations and Identities
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Homework
  • Improving Individual Solutions to the Assessment Task: Equations and Identities (10 minutes)
      • Return their original assessment Equations and Identities to the students, together with a second blank copy of the task.
        • Look at your original responses, and think about what you have learned in this lesson.
        • Using what you have learned, try to improve your work.
      • If you have not added questions to individual pieces of work, write your list of questions on the board.

      Students should select from this list only the questions they think are appropriate to their own work.

  • Solutions
    • Always True (Identities) Sometimes True Never True

      2( x + 3 ) = 2x + 6

      x − 6 = 6 − x

      True when x = 6.

      2( x − 3 ) + 2x - 3

      x2 − 1 = ( x + 1 )( x − 1 )

      x + 6 = y + 6

      True when x = y.

      x2 + 6 = 0

      (Unless you include complex numbers)

      ( x − 6 )2 = ( 6 − x )2

      x = x
      6 x

      True when x = +6 or −6.


      ( 3x )2 = 9x2

      6 + 2x = 8x

      True when x = 1.



      x2 = 2x

      True when x = 0 or 2.



      ( x + 3 )2 = x2 + 32

      True when x = 0.



      ( x + 1 )(x + 4 ) = x2 + 14

      True when x = 2.



      True when x = 0.


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