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Algebraic Operations

Algebraic Operations. Simplest Form. Adding / Sub Fractions. Multiple / Divide Fractions. www.mathsrevision.com. Subject of Formula. Harder Subject of Formula. 1. Simplify the following fractions : . Starter Questions. Algebraic Operations. Learning Intention. Success Criteria.

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Algebraic Operations

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  1. Algebraic Operations Simplest Form Adding / Sub Fractions Multiple / Divide Fractions www.mathsrevision.com Subject of Formula Harder Subject of Formula www.mathsrevision.com

  2. 1. Simplify the following fractions : Starter Questions www.mathsrevision.com

  3. Algebraic Operations Learning Intention Success Criteria • To explain how to simplify algebraic fractions. • Understand term • Highest Common Factor. • 2. Simplify algebraic fractions by identifying HCF. www.mathsrevision.com www.mathsrevision.com

  4. We can sometimes reduce fractions to a simpler form if the numerator and denominator have a number or letter in common. Fraction in Simplest form Examples HCF = Y HCF = 3 www.mathsrevision.com

  5. Examples Fraction in Simplest form 1 1 3 1 1 1 1 1 www.mathsrevision.com

  6. Examples Fraction in Simplest form 1 1 1 1 Exercise 1 Page 186 www.mathsrevision.com

  7. What Goes In The Box ? Simplify the following square roots: www.mathsrevision.com

  8. 1. Simplify the following fractions : Starter Questions www.mathsrevision.com

  9. Algebraic Operations Learning Intention Success Criteria • To explain how to add and subtract algebraic fractions. • Know how to add and sub simple fractions • 2. Apply same knowledge to add and sub algebraic fractions. www.mathsrevision.com www.mathsrevision.com

  10. Harder Fractions Step 1 : Do the smile Step 2 : Do the kiss 4 2 + 8 Example 1 Step 3 : Add/Subtract the numerator and simplify ÷2 ÷2 Compiled by Mr. Lafferty Maths Dept.

  11. Harder Fractions Step 1 : Do the smile Step 2 : Do the kiss 25 6 - 30 Example 1 Step 3 : Add/Subtract the numerator and simplify Compiled by Mr. Lafferty Maths Dept.

  12. Adding Algebraic Fractions Example 1a Example 1b 3d d + 4 2 + d2 8 ÷d ÷2 4d ÷d ÷2 d2 www.mathsrevision.com

  13. Adding Algebraic Fractions Example 1a Example 1b 15 8 - 3m p - 20 pm www.mathsrevision.com

  14. What Goes In The Box ? Simplify the following square roots: www.mathsrevision.com

  15. Adding / Subtracting Algebraic Fractions Exercise 2 Page 200 www.mathsrevision.com

  16. Starter Questions Calculate the following : www.mathsrevision.com

  17. Algebraic Operations Multiplication and division Learning Intention Success Criteria • To explain how to multiply and divide by algebraic fractions. • Know rules for multiplication and division of simple fractions. • 2. Apply knowledge to algebraic fractions. www.mathsrevision.com www.mathsrevision.com

  18. Algebraic Fractions Multiplication and division Example 1b Example 1a 1 1 1 a 2 2 www.mathsrevision.com

  19. Algebraic Fractions Multiplication and division Example 2b Example 2a 1 2 1 3 www.mathsrevision.com

  20. What Goes In The Box ? Simplify the following square roots: www.mathsrevision.com

  21. Algebraic Fractions Multiplication and division Exercise 3 Page 200 www.mathsrevision.com

  22. Starter Questions Calculate the following : www.mathsrevision.com

  23. Algebraic Operations The Subject of a Formula Learning Intention Success Criteria • To explain how to change the subject of a formula using • “change side change sign” • method. • Know change sign change sign for solving equations. • 2. Apply knowledge to change subject of a formula. www.mathsrevision.com www.mathsrevision.com

  24. Algebraic Fractions The Subject of a Formula The formula below is used to work out the circumference of a circle Since the formula works out C , then C is called the subject of the formula. www.mathsrevision.com

  25. Algebraic Fractions The Subject of a Formula We can make D the subject of the formula by using the rule “ change side change side “ www.mathsrevision.com

  26. What Goes In The Box ? Make y the subject of the formulae below : -x + 2y = 2 x + y = 8 y = 8- x x = 4( y + 1 ) x = y - 9 y = x + 9 Exercise 4 Page 202 www.mathsrevision.com

  27. Starter Questions Calculate the following : www.mathsrevision.com

  28. Algebraic Operations The Subject of a Formula Learning Intention Success Criteria • To explain how to change the subject of a formula containing square and square root terms. • Know change sign change sign for solving equations. • 2. Apply knowledge to change subject of harder formulae including square and square root terms. www.mathsrevision.com www.mathsrevision.com

  29. Algebraic Fractions The Subject of a Formula Example : The force of the air against a train is given by the formula below. Make the speed (S) the subject of the formula. www.mathsrevision.com

  30. Algebraic Fractions The Subject of a Formula Example : The thickness of a rope T cm to lift a weight W tonnes can be worked out by the formula below. Make W the subject of the formula. www.mathsrevision.com

  31. What Goes In The Box ? Change the subject to x. www.mathsrevision.com

  32. Algebraic Fractions The Subject of a Formula Exercise 6 Page 204 www.mathsrevision.com

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