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KS3-NA12-2: Solving Simple Equations(Nov 2014)

Possible problems in students' learning (for reference only)

  • Students make mistakes when eliminating the coefficient of the x term, e.g. from –x = 3 they have x = +3.
  • Students mistake the signs when transposing terms.
  • Students combine like or unlike terms wrongly, e.g. 5x – 2x = 3, 5 – 2x = 3x .
  • Students make mistakes when removing brackets, such as forget to use the distributive law, or mistake the signs.
  • Students make mistakes when multiplying both sides by a number, such as forget to use the distributive law, or mistake the signs.

Suggestions for Follow-up Actions

Name Emphasis Description Problem addressed (see above) Suggested duration (minutes) Available for self - learning?
Solving Equations by the Principle of Balance (1) to (7)
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Solving Linear Equations in One Unknown Using the Principle of Balance, the process of solving linear equations in one unknown is divided into five major procedures .
     
Worksheet 1: Identify the coefficient of the x term and cancel it ; 1 20 Image
Worksheet 2: Use the verticle form to eliminate the constant term, and then cancel the coefficient of x; 1 2 3 20 Image
Worksheet 3: Use the verticle form to eliminate the constant terms at the left-hand side, and eliminate the x term at the right-hand side; 1 23 15 Image
Worksheet 4 and 5: Removing brackets and combining like terms;

1 234

35 Image
Worksheet 6 and 7: Adding brackets to the numerators of the fractions and then eliminate the denominators by multiplying an integer to both sides using the vertical form. 1 23 44 40 Image
* The list of possible problems is for teachers' reference only and is not meant to be exhaustive or prescriptive. Teachers can always adapt the activities/materials in order to cater for students' needs.
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