Algebraic Operations Simplest Form Adding / Sub Fractions Multiple / Divide Fractions Subject of Formula Harder Subject of Formula

Starter Questions 1.Simplify the following fractions :

Learning Intention Success Criteria 1.To explain how to simplify algebraic fractions. 1.Understand term Highest Common Factor. Algebraic Operations 2.Simplify algebraic fractions by identifying HCF.

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

Fraction in Simplest form Examples

Fraction in Simplest form Examples Exercise 1 Page 186

Starter Questions 1.Simplify the following fractions :

Learning Intention Success Criteria 1.To explain how to add and subtract algebraic fractions. 1.Know how to add and sub simple fractions Algebraic Operations 2.Apply same knowledge to add and sub algebraic fractions.

Adding Algebraic Fractions LCM = 5 Example 1a LCM = d Example 1b

Subtract Algebraic Fractions LCM = 20 Example 2a LCM = pq Example 2b

Adding Algebraic Fractions LCM = 12 Example 3a LCM = 2x 2 Example 3b

Adding / Subtracting Algebraic Fractions Exercise 2 Page 200

Starter Questions Calculate the following :

Learning Intention Success Criteria 1.To explain how to multiply and divide by algebraic fractions. 1.Know rules for multiplication and division of simple fractions. Algebraic Operations 2.Apply knowledge to algebraic fractions. Multiplication and division

Example 1a Example 1b Algebraic Fractions Multiplication and division a

Example 2a Example 2b Algebraic Fractions Multiplication and division

Algebraic Fractions Multiplication and division Exercise 3 Page 200

Starter Questions Calculate the following :

Learning Intention Success Criteria 1.To explain how to change the subject of a formula using “change side change sign” method. 1.Know change sign change sign for solving equations. Algebraic Operations 2.Apply knowledge to change subject of a formula. The Subject of a Formula

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.

Algebraic Fractions The Subject of a Formula We can make D the subject of the formula by using the rule “ opposite side opposite side “

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

Starter Questions Calculate the following :

Learning Intention Success Criteria 1.To explain how to change the subject of a formula containing square and square root terms. 1.Know change sign change sign for solving equations. Algebraic Operations 2.Apply knowledge to change subject of harder formulae including square and square root terms. The Subject of a Formula

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.

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.

Exercise 6 Page 204 Algebraic Fractions The Subject of a Formula