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
- 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
- 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