Algebraic Fractions www mathsrevision com Nat 5 Equivalent

Algebraic Fractions www. mathsrevision. com Nat 5 Equivalent and Simplifying Fractions Factorising and Simplifying Fractions Adding & Subtracting Fractions Multiplication & Division of Fractions Exam Type Questions www. mathsrevision. com

S 3 Starter Questions www. mathsrevision. com Nat 5 12 -Mar-21 Compiled by Mr. Lafferty Maths Dept.

Algebraic Fractions www. mathsrevision. com Nat 5 Learning Intention 1. We are learning how to simplify algebraic fractions. Success Criteria 1. Understand term Highest Common Factor. 2. Simplify algebraic fractions by identifying HCF. www. mathsrevision. com

www. mathsrevision. com Nat 5 Multiply top and bottom by and bottom Equivalent Fractions any number or by any letter number We already know how to create an equivalent fraction for numerical fractions. The exact same process is used for algebraic fractions. Numerical Fraction www. mathsrevision. com Algebraic Fraction

$Equivalent Fractions www. mathsrevision. com Nat 5 Common Denominator for 2 fractions Numerical Fraction$

Equivalent Fractions www. mathsrevision. com Nat 5 Common Denominator for 2 fractions Numerical Fraction www. mathsrevision. com Algebraic Fraction

$Algebraic Fractions www. mathsrevision. com Nat 5 We can sometimes reduce fractions to a$

Algebraic Fractions www. mathsrevision. com Nat 5 We can sometimes reduce fractions to a simpler form if the numerator and denominator have a number or letter in common. Examples HCF = 3 www. mathsrevision. com HCF = Y

$We can only simplify if fraction is a product of factors. Algebraic Fractions Nat$

We can only simplify if fraction is a product of factors. Algebraic Fractions Nat 5 www. mathsrevision. com Examples 1 3 1 1 6 1 1 1 1 www. mathsrevision. com

$We can only simplify if fraction is a product of factors. Algebraic Fractions Nat$

We can only simplify if fraction is a product of factors. Algebraic Fractions Nat 5 www. mathsrevision. com Examples 1 1 1 www. mathsrevision. com

$We can only simplify if fraction is a product of factors. Algebraic Fractions Nat$

We can only simplify if fraction is a product of factors. Algebraic Fractions Nat 5 www. mathsrevision. com Examples 1 1 3 4 1 1 www. mathsrevision. com

What Goes In The Box ? www. mathsrevision. com Nat 5 Factorise first www. mathsrevision. com

Algebraic Fractions www. mathsrevision. com Nat 5 Now try N 5 TJ Ex 9. 1 Ch 9 (page 90)

Starter Questions www. mathsrevision. com Nat 5 In pairs, write down the three types of factorising and show an example of each. 12 -Mar-21 Compiled by Mr. Lafferty Maths Dept.

Algebraic Fractions www. mathsrevision. com Nat 5 Learning Intention 1. We are learning how to simplify algebraic fractions by first factorising. www. mathsrevision. com Success Criteria 1. Know the three types of factorisations. 2. Simplify algebraic fractions by first factorising.

Algebraic Fractions Nat 5 www. mathsrevision. com Type 1 1 3 1 1 www. mathsrevision. com

Algebraic Fractions Nat 5 www. mathsrevision. com Type 2 1 1 www. mathsrevision. com

Algebraic Fractions Nat 5 www. mathsrevision. com Type 3 1 1 www. mathsrevision. com

Algebraic Fractions www. mathsrevision. com Nat 5 Now try N 5 TJ Ex 9. 2 Ch 9 (page 92)

Starter Questions www. mathsrevision. com Nat 5 Q 1. Explain why 4 + 6 x 5 = 34 and not 50 Q 2. Calculate Q 3. Does x 2 – 121 factorise to (x – 11) (x - 11) Q 4. The cost of an i. Pod is £ 80 including VAT. How much is the i. Pod BEFORE VAT. 12 -Mar-21 Compiled by Mr. Lafferty Maths Dept.

Algebraic Fractions Addition www. mathsrevision. com Nat 5 Learning Intention 1. We are learning how to add & subtract algebraic fractions. www. mathsrevision. com Success Criteria 1. Know how to add and subtract algebraic fractions using equivalent fractions.

Algebraic Fractions Addition Nat 5 www. mathsrevision. com LCM = 4 Example 2 4 + Example 1 3 d 4 www. mathsrevision. com +1 d LCM = d

Algebraic Fractions Nat 5 www. mathsrevision. com LCM =Example 20 15 20 - Subtraction 8 LCM = pm Example 3 m pm 20 www. mathsrevision. com - p pm

Algebraic Fractions Addition Nat 5 www. mathsrevision. com LCM = Example 4 x 12 4 x + LCM = (x-1)(x+1) Example x 2 3(x + 1) 4 x (x - 1)(x + 1) + x(x - 1)(x + 1) 3 x + 3 + x 2 – x (x - 1)(x + 1) 12 + x 2 4 x www. mathsrevision. com x 2 + 2 x + 3 (x - 1)(x + 1)

Algebraic Fractions Nat 5 www. mathsrevision. com LCM = Example 5 g 15 5 g - Subtraction LCM = x(x+5) Example fg 3(x + 5) 5 g x(x + 5) - x x(x + 5) 3 x + 15 - x 15 - fg x(x + 5) 5 g 2 x + 15 www. mathsrevision. com x(x + 5)

What Goes In The Box ? www. mathsrevision. com Nat 5 www. mathsrevision. com

Algebraic Fractions www. mathsrevision. com Nat 5 Addition & Subtraction Now try N 5 TJ Ex 9. 3 Q 1. . . Q 9 Ch 6 (page 93)

Fraction Equations www. mathsrevision. com Nat 5 Multiply EVERY term to get rid of fractional term. and then apply ‘Balancing Method’ Example Tidy Up ! (x 4) x+2 +5=8 4 x + 20 = 32 x + 22 = 32 - 22 x = 10 12 -Mar-21 Created by Mr. Lafferty Maths Dept.

Fraction Equations MTH 3 -15 a MTH 4 -15 a www. mathsrevision. com Example (x 6) 3 (2 x – 4) + 2 x = 16 2 3 Tidy Up ! 9 (2 x – 4) + 4 x = 96 18 x - 36 + 4 x = 96 22 x - 36 = 96 + 36 12 -Mar-21 + 36 Created by Mr. Lafferty Maths Dept. 22 x = 132 (÷ 22) x=6

Algebraic Fractions www. mathsrevision. com Nat 5 Addition & Subtraction Now try N 5 TJ Ex 9. 3 Q 10 Ch 6 (page 94)

Starter Questions www. mathsrevision. com Nat 5 12 -Mar-21 Compiled by Mr. Lafferty Maths Dept.

Algebraic Fractions www. mathsrevision. com Nat 5 Multiplication & Division Learning Intention 1. We are learning how to multiply and divide algebraic fractions. Success Criteria 1. Know rules for multiplying and dividing fractions. 2. Apply knowledge to algebraic fractions. www. mathsrevision. com

Nat 5 Remember you can simplify top and bottom Algebraic Fractions and diagonally first to Multiplication & Division make things easier www. mathsrevision. com Numerical fraction 3 Algebraic Fraction 5 10 2 www. mathsrevision. com 1 1

Nat 5 Be careful !!! ONLY at the multiplication Fractions stage can Algebraic you simplify to make Multiplication things easier& Division www. mathsrevision. com Numerical Fraction 8 Algebraic Fraction 1 15 1 www. mathsrevision. com

Nat 5 Remember you can simplify top and bottom Algebraic Fractions and diagonally first to Multiplication & Division make things easier Example 3 www. mathsrevision. com Example 2 1 1 www. mathsrevision. com

Nat 5 Be careful !!! ONLY at the multiplication Fractions stage can Algebraic you simplify to make Multiplication things easier& Division Example 3 www. mathsrevision. com Example 2 4 3 www. mathsrevision. com

Nat 5 Be careful !!! ONLY at the multiplication Fractions stage can Algebraic you simplify to make Multiplication things easier& Division www. mathsrevision. com Example 4 1 1 1