Created by Mr. Lafferty Maths Dept. Equations Number Machine Basic Equations Harder Equations www.mathsrevision.com Inequalities Solving Inequalities 16-Jun-18 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Starter Questions 25% of 116 Write 20% as a fraction and a decimals. What shape as no line of symmetry. www.mathsrevision.com 16-Jun-18 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Number Machine Learning Intention Success Criteria We are learning how to use a number machine. 1. Understand the process of the number machine. 2. Calculate the answer to a number machine. www.mathsrevision.com 16-Jun-18 Created by Mr. Lafferty Maths Dept.

Function Machine 7 + 13 20 www.mathsrevision.com IN OUT A machine that changes one number into another number. 7 + 13 20 www.mathsrevision.com IN OUT 16-Jun-18 Created by Mr.Lafferty Maths Dept

Created by Mr.Lafferty Maths Dept Function Machine 6 + 7 19 Double www.mathsrevision.com 8 x3 - 14 10 16-Jun-18 Created by Mr.Lafferty Maths Dept

Created by Mr.Lafferty Maths Dept Function Machine + 4 1 - 9 6 www.mathsrevision.com ÷3 X 2 8 12 16-Jun-18 Created by Mr.Lafferty Maths Dept

Created by Mr.Lafferty Maths Dept Function Machine X 4 39 11 - 5 www.mathsrevision.com 18 + 4 10 ÷3 16-Jun-18 Created by Mr.Lafferty Maths Dept

Created by Mr. Lafferty Maths Dept. Number Machine Now try TJ2b Ex 1 Ch11 (page 109) www.mathsrevision.com 16-Jun-18 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Starter Questions 10% of 1979 Write 30% as a fraction and a decimals. What shape(s) have half - turn symmetry. www.mathsrevision.com 16-Jun-18 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Equations Learning Intention Success Criteria We are learning to solve basic equations using the ‘Balancing Method’ 1. Understand the process of the ‘Balancing Method’ 2. Solving basic algebraic equations. www.mathsrevision.com 16-Jun-18 Created by Mr. Lafferty Maths Dept.

Balancing Method www.mathsrevision.com Kirsty goes to the shops every week to buy some potatoes. She always buys the same total weight. One week she buys 2 large bags and 1 small bag. The following week she buys 1 large bag and 3 small bags. If a small bags weighs 4 kgs. How much does a large bag weigh? 4 www.mathsrevision.com 4 What instrument measures balance How can we go about solving this using balance ? 16-Jun-18 Created by Mr Lafferty Maths Dept

Created by Mr Lafferty Maths Dept Balancing Method Take a small bag away from each side. 4 4 4 4 Take a big bag away from each side. www.mathsrevision.com We can see that a big bag is equal to 4 + 4 = 8 kg 16-Jun-18 Created by Mr Lafferty Maths Dept

Balancing Method It would be far too time consuming to draw out the balancing scales each time. We will now review how to use the rules for solving equations. www.mathsrevision.com 16-Jun-18 Created by Mr Lafferty Maths Dept

Created by Mr. Lafferty Maths Dept. Basic Equations Examples Demo x – 5 = 11 x + 8 = 37 + 5 + 5 - 8 - 8 x = 16 x = 29 www.mathsrevision.com Check ! Check ! 16-Jun-18 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Basic Equations Examples Demo 2x = 18 6x = 72 2 2 6 6 x = 9 x = 12 www.mathsrevision.com Check ! Check ! 16-Jun-18 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Tricky ! Equations Examples 8 – z = 6 36 - r = 12 + z + z + r + r Swap round 8 = z + 6 Swap round 36 = 12 + r www.mathsrevision.com z + 6 = 8 12 + r = 36 - 6 - 6 - 12 - 12 Check ! x = 2 r = 24 Check ! 16-Jun-18 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Basic Equations Now try TJ2b Ex 2 Ch11 (page 111) www.mathsrevision.com 16-Jun-18 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Starter Questions 680 ÷ 20 two steps ! 26 x 500 two steps ! 3. What shape can you fly !! www.mathsrevision.com 16-Jun-18 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Equations Learning Intention Success Criteria We are learning to solve equations using the Balancing Method. 1. Understand the process of the ‘Balancing Method’ 2. Solving basic algebraic equations. www.mathsrevision.com 16-Jun-18 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Equations Example Demo 4x – 2 = 34 2x + 9 = 31 + 2 + 2 - 9 - 9 4x = 36 2x = 22 www.mathsrevision.com 4 4 2 2 x = 9 x = 11 Check ! Check ! 16-Jun-18 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Equations Examples Demo 5x – 7 = 33 4 - 2x = -10 + 7 + 7 + 2x + 2x Swap round 5x = 40 4 = -10 + 2x www.mathsrevision.com 5 5 2x - 10 = 4 + 10 + 10 x = 8 2x = 14 Check ! 2 2 Check ! x = 7 16-Jun-18 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Equations Now try TJ2b Ex 3 Ch11 (page 112) www.mathsrevision.com 16-Jun-18 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Starter Questions 180 ÷ 400 two steps ! 92 x 70 two steps ! 3. What shape(s) has two pairs of parallel lines. www.mathsrevision.com 16-Jun-18 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Inequalities Learning Intention Success Criteria We are learning to solve inequalities using the Balancing Method. 1. Understand the process of the ‘Balancing Method’ 2. Solving basic algebraic inequalities. www.mathsrevision.com 16-Jun-18 Created by Mr. Lafferty Maths Dept.

Created by Mr.Lafferty Maths Dept Inequalities Solving Inequations The equations you were solving were called equations because they contained an “=“ sign. There are 4 other Mathematical symbols They are called inequalities : www.mathsrevision.com greater than greater than or equal to less than less than or equal to 16-Jun-18 Created by Mr.Lafferty Maths Dept

x ≥ 2 Inequalities 5 > 3 -7 < -6 y ≤ -5 Arrow ALWAYS points to the smallest number Solving Inequalities Examples : Write in words what each mean. 5 > 3 means 5 is greater than 3 -7 < -6 means -7 is less than -6 means x can take the value 2 or greater x ≥ 2 www.mathsrevision.com y ≤ -5 means y can take the value -5 or less 16-Jun-18 Created by Mr.Lafferty Maths Dept

Created by Mr.Lafferty Maths Dept Inequalities Solving Inequalities Examples : Write out an inequality for the numbers (a) 14 and 6 14 > 6 (b) -2 and 1 -2 < 1 www.mathsrevision.com (c) -3 and -7 -3 > -7 (d) 34 and -35 34 > -35 16-Jun-18 Created by Mr.Lafferty Maths Dept

Created by Mr.Lafferty Maths Dept Inequalities Solving Inequalities Examples : Choosing from -3, -2, -1, 0 , 1, 2, 3 (a) y < 0 -3, -2, -1 (b) y > 2 3 www.mathsrevision.com (c) y ≤ -2 -3, -2 (d) y > 3 No solution 16-Jun-18 Created by Mr.Lafferty Maths Dept

Created by Mr. Lafferty Maths Dept. Inequalities Now try TJ2b Ex 4 Ch11 (page 114) www.mathsrevision.com 16-Jun-18 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Starter Questions 45 – (4 + 27) 2. ½ of 90 + 3 x 5 3. Name the triangle with all equal sides. www.mathsrevision.com 16-Jun-18 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Inequalities Learning Intention Success Criteria We are learning to solve inequalities using the Balancing Method. 1. Understand the process of the ‘Balancing Method’ 2. Solving basic algebraic inequalities. www.mathsrevision.com 16-Jun-18 Created by Mr. Lafferty Maths Dept.

Created by Mr.Lafferty Maths Dept Inequalities Inequalities The Good News Same rule as solving equations www.mathsrevision.com The Balancing Method 16-Jun-18 Created by Mr.Lafferty Maths Dept

Created by Mr. Lafferty Maths Dept. Basic Equations Examples Demo x – 9 > 16 x + 10 < 19 + 9 + 9 - 10 - 10 x > 25 x < 9 www.mathsrevision.com Check ! Check ! 16-Jun-18 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. Basic Equations Examples Demo 7y > 35 9m < 36 9 9 7 7 www.mathsrevision.com y > 5 m < 4 Check ! Check ! 16-Jun-18 Created by Mr. Lafferty Maths Dept.

Inequalities Now try TJ2b Ex 5 Ch11 (page 116) www.mathsrevision.com Have you updated your Learning Log ? Inequalities Now try TJ2b Ex 5 Ch11 (page 116) www.mathsrevision.com 16-Jun-18 Created by Mr. Lafferty Maths Dept.