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ALGEBRAIC
MANIPULATION
Revision
Objectives
At the end of the lesson, students should be able
to:
 differentiate between like terms and unlike

  terms
 add or subtract linear algebraic expressions

 simplify linear algebraic expressions
Expression vs. Equation
         Expression                         Equation
   True for all values of x.      True for some values of x.
   Common key terms:              Common key terms:
       Simplify                       Solve
       Expand                     Example:
       Factorise                      5x – 4 = x
   Example:
       8x + 5y – 3x – 5
Algebraic Expression

Coefficients
               Variables


         4x – 5y + 2
Terms                      Constant term
Like Terms vs. Unlike Terms
         Like Terms               Unlike Terms
   Algebraic terms that      Terms that are not like
    have the same              terms
    variables with the
    same power.
Four Operations

      Addition              Subtraction
   Only like terms.      Only like terms.
   5x + x = 6x           2x – 3x = -x
   x + 2y = x + 2y       a – 2ab = a – 2ab

 Multiplication                Division
 Both like and           Both like and
  unlike terms.            unlike terms.
 x   2x = 2x2             x3 ÷ x = x2
 a   bc = abc            4x ÷ 2y = 2x/y
Order of Operations


 BODMAS
Algebra Intro
Instructions:
 get into pairs for this activity

 spend 5 minutes to go through the short

  explanation in this app:
   Terms
   Multiplication

   Order of Operations
Algebra Intro




Click on
‘Algebra
Intro’
Algebra Intro



                            Step 2:
                            Choose the
Step 1:                     different
Choose                      topics
‘Explain’
Algebra Intro
After going through the short explanations…
 spend 20 minutes trying out the practices:

   Terms
   Multiplication

   Order of Operations
Algebra Intro



                             Step 2:
Step 1:                      Choose the
Choose                       different
‘Practice’                   topics
Spot The Mistakes!
Instructions:
 each pair is required to spot the
  mistake/misconception in the given solution
 using ‘ShowMe’…
     circle the mistake and justify.
     provide the correct solution with appropriate
      explanation.
   the .jpg format of the questions can be found in
    the ‘Saved Photos’ album
   each pair is given 10 minutes for this activity
Spot The Mistakes!




      Click on
      ‘ShowMe
Spot The Mistakes!
Write
              Eraser
          Clear entire screen
Undo           Insert picture

        Pen colours

          1st: Start
          2nd: Pause
          3rd: Stop recording
Spot The Mistakes!
Spot The Mistakes!
Spot The Mistakes!
Spot The Mistakes!
Easel Algebra
Instructions:
 each pair is required to complete the quiz:

       More expressions
   write your workings in the space provided
   check the answers after attempting all 6
    questions
Easel Algebra




                Click on
                ‘Easel
                Algebra’
Easel Algebra

    Step 1:
    Choose the
    book
    ‘Algebra I’
Easel Algebra

    Step 2: Choose
    ‘More expressions
Easel Algebra




            Show
Check       workings               Earse
answers                Clear the
                       writings        Write
Checklist
At the end of the lesson, students should be able
to:
 differentiate between like terms and unlike

  terms
 add or subtract linear algebraic expressions

 simplify linear algebraic expressions

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Algebraic Manipulation Lesson

  • 2. Objectives At the end of the lesson, students should be able to:  differentiate between like terms and unlike terms  add or subtract linear algebraic expressions  simplify linear algebraic expressions
  • 3. Expression vs. Equation Expression Equation  True for all values of x.  True for some values of x.  Common key terms:  Common key terms:  Simplify  Solve  Expand  Example:  Factorise  5x – 4 = x  Example:  8x + 5y – 3x – 5
  • 4. Algebraic Expression Coefficients Variables 4x – 5y + 2 Terms Constant term
  • 5. Like Terms vs. Unlike Terms Like Terms Unlike Terms  Algebraic terms that  Terms that are not like have the same terms variables with the same power.
  • 6. Four Operations Addition Subtraction  Only like terms.  Only like terms.  5x + x = 6x  2x – 3x = -x  x + 2y = x + 2y  a – 2ab = a – 2ab Multiplication Division  Both like and  Both like and unlike terms. unlike terms.  x 2x = 2x2  x3 ÷ x = x2  a bc = abc  4x ÷ 2y = 2x/y
  • 8. Algebra Intro Instructions:  get into pairs for this activity  spend 5 minutes to go through the short explanation in this app:  Terms  Multiplication  Order of Operations
  • 10. Algebra Intro Step 2: Choose the Step 1: different Choose topics ‘Explain’
  • 11. Algebra Intro After going through the short explanations…  spend 20 minutes trying out the practices:  Terms  Multiplication  Order of Operations
  • 12. Algebra Intro Step 2: Step 1: Choose the Choose different ‘Practice’ topics
  • 13. Spot The Mistakes! Instructions:  each pair is required to spot the mistake/misconception in the given solution  using ‘ShowMe’…  circle the mistake and justify.  provide the correct solution with appropriate explanation.  the .jpg format of the questions can be found in the ‘Saved Photos’ album  each pair is given 10 minutes for this activity
  • 14. Spot The Mistakes! Click on ‘ShowMe
  • 15. Spot The Mistakes! Write Eraser Clear entire screen Undo Insert picture Pen colours 1st: Start 2nd: Pause 3rd: Stop recording
  • 20. Easel Algebra Instructions:  each pair is required to complete the quiz:  More expressions  write your workings in the space provided  check the answers after attempting all 6 questions
  • 21. Easel Algebra Click on ‘Easel Algebra’
  • 22. Easel Algebra Step 1: Choose the book ‘Algebra I’
  • 23. Easel Algebra Step 2: Choose ‘More expressions
  • 24. Easel Algebra Show Check workings Earse answers Clear the writings Write
  • 25. Checklist At the end of the lesson, students should be able to:  differentiate between like terms and unlike terms  add or subtract linear algebraic expressions  simplify linear algebraic expressions