1 / 32

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.

Albert_Lan
Télécharger la présentation

Algebraic Operations

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript


  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

More Related