This document provides an overview of algebraic manipulation concepts including: - Differentiating between like and unlike terms - Performing the four basic operations (addition, subtraction, multiplication, division) on algebraic expressions - Following the proper order of operations (BODMAS) - Examples of simplifying and expanding algebraic expressions The objectives are for students to learn to differentiate between like and unlike terms, add/subtract linear expressions, and simplify linear expressions. Examples and explanations of terms, operations, and expressions are provided.

1. ALGEBRAIC
MANIPULATION
Revision

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

7. Order of Operations
BODMAS

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

9. Algebra Intro
Click on
‘Algebra
Intro’

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

16. Spot The Mistakes!

17. Spot The Mistakes!

18. Spot The Mistakes!

19. Spot The Mistakes!

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