Integers www mathsrevision com MNU 3 04 a

Integers www. mathsrevision. com MNU 3 -04 a Integers in Context Add /Sub using Thermometer Double Negative Multiplication & Division Mixed Questions 02 -Oct-20 Created by Mr. Lafferty Maths Dept

02 -Oct-20 Level 3 Exercise 1 1. 4. 3. 2. The fastest time for running the 100 metres is 9· 78 seconds. £ 42 is shared between 8 people, how much does Simplify What is this time correct to 1 decimal place? each person get? 5 a +9. 8 s 2 b 8 a + 2 b - 3 a £ 5. 25 A school orders 9 computer screens at £ 106 each. What is the total cost? £ 954

Integers www. mathsrevision. com MNU 3 -04 a Learning Intention 1 02 -Oct-20 Success Criteria We are learning how to use integers in context. 1. Understand how integers are used in real-life. Created by Mr. Lafferty Maths Dept

Integers www. mathsrevision. com MNU 3 -04 a Definition : An INTEGER is a negative or positive whole number, including 0. e. g. -2, -1, 0, 5, 100 Note : -2. 5, -1. 2, 23. 5 Are NOT INTEGERS Write down 3 places where Integers are used Bank Weather 02 -Oct-20 Created by Mr. Lafferty Maths Dept Sea-Level Height

Integers www. mathsrevision. com MNU 3 -04 a Now try TJ 3 a Ex 1 Q 1 – Q 4 Class Discussion Ch 4 (page 32) 02 -Oct-20 Created by Mr. Lafferty Maths Department

Negative Numbers MNU 3 -04 a www. mathsrevision. com o o (a) 4 C up from 12 C 12 + 4 = 16 o o (b) 8 C down from 10 C 10 - 8 = 2 o o (c) 3 C up from -2 C -2 + 3 = 1 o o (d) 6 C down from 2 C 2 - 6 = -4 24 20 16 12 8 4 0 -4 -8 -12 -16 -20 -24 02 -Oct-20 Created by Mr. Lafferty Maths Dept 22 18 14 10 6 2 UP + -2 -6 -10 -14 -18 -22 Down -

Integers www. mathsrevision. com MNU 3 -04 a Now try TJ 3 a Ex 1 Q 5 Class Discussion Ch 4 (page 32) 02 -Oct-20 Created by Mr. Lafferty Maths Department

02 -Oct-20 Level 3 Exercise 2 1. 4. 3. 2. Round 5· 588 to 2 decimal places. £ 52 is shared between 10 people, how much 5· 59 Simplify 5 a + 3 b does each person get? The product of two numbers is 125. 6 a + 3 b - a £ 5. 20 One of the numbers is 5. 25 What is the other number?

Integers Addition & Subtraction www. mathsrevision. com MNU 3 -04 a Learning Intention 1 02 -Oct-20 Success Criteria We are learning how to write down mathematically addition and subtraction of integers. 1. To be able to write down mathematically the addition and subtraction of integers. Created by Mr. Lafferty Maths Dept

Rule Negative Numbers Adding a negative is the same as subtracting www. mathsrevision. com MNU 3 -04 a “+ -” = (a) 12 + 4 = 16 Start at 12 (b) Go up 4 10 + (-8) = 2 Start at 10 (c) Go down 8 7 - 10 = -3 Start 02 -Oct-20 at 7 24 20 16 12 8 4 0 -4 -8 -12 -16 -20 -24 Go down 10 Created by Mr. Lafferty Maths Dept 22 18 14 10 6 2 UP + -2 -6 -10 -14 -18 -22 Down -

Integers MNU 3 -04 a www. mathsrevision. com Examples (1) 3 -7 = -4 (2) 4 + (-9) = -5 (3) -7 - 8 = -15 (4) -2 + (-12) = -14 (5) -5 - 25 = -30 (6) (-8) + (-9) = -17 02 -Oct-20 Remember Rule ! Created by Mr. Lafferty Maths Dept Online Practice

Integers www. mathsrevision. com MNU 3 -04 a Now try TJ 3 a Ex 2 Ch 4 (page 35) 02 -Oct-20 Created by Mr. Lafferty Maths Department

02 -Oct-20 Level 3 Exercise 3 1. 4. 3. 2. Round 7· 782 correct to 2 decimal places. Eight men weigh 626 kg in total. 7· 78 Simplify 2 a +6 b What is the average weight? Calculate 20% 3 a + of 4 b£ 90 – a + 2 b 78. 25 kg £ 18

Integers Addition & Subtraction www. mathsrevision. com MNU 3 -04 a Learning Intention 1. 02 -Oct-20 Success Criteria We are learning the ‘double negative’ rule for integers. 1. To understand the ‘double negative’ rule for integers. 2. To be able to solve problems using the ‘double negative’ rule. Created by Mr. Lafferty Maths Dept.

Integers Double Negative MNU 3 -04 a www. mathsrevision. com Rule 1 - (- 2) = 1 + 2 = 3 - 4 – (- 5) = - 4 + 5 = 1 Subtracting a negative is the same as adding “- -” = + -3 - (- 5) = - 3 + 5 = 2 -1 - (- 10) = -1 + 10 = 9 Online Practice 02 -Oct-20 Created by Mr. Lafferty Maths Dept.

www. mathsrevision. com Integers 02 -Oct-20 6 – (-1) = 7 Created by Mr. Lafferty Maths Dept 1 – (-4) = 5

www. mathsrevision. com Integers 02 -Oct-20 -9 – (-13) = 4 Created by Mr. Lafferty Maths Dept (-4) – (-10) = 6

Integers www. mathsrevision. com MNU 3 -04 a Now try TJ 3 a Ex 3 Ch 4 (page 36) 02 -Oct-20 Created by Mr. Lafferty Maths Department

02 -Oct-20 Level 3 Exercise 4 1. 4. 2. 3. Round 13· 598 to 2 ofdecimal places. How many pieces rope, each 6 metres long, 13· 60 can be cut from a length of rope 291· 5 metres A golf caddy car travels round a golf course at long? an average speed of 20 km per hour. Simplify 48 What distance 6 x +does 4 y + it 2 xtravel - 3 y in 15 minutes? 8 x 5 km +y

Integers www. mathsrevision. com Multiplication & Division Learning Intention 1. We are learning the rules for multiplying and dividing integers. Success Criteria 1. Understand the rules for multiplying and dividing integers. 2. Apply rules to problems. 02 -Oct-20 Created by Mr. Lafferty Maths Dept.

Integers. Rule Same Signs = POSITIVE answer Multiplication & Division www. mathsrevision. com MNU 3 -04 a 02 -Oct-20 (-2) x (-1) = 2 (-2) ÷ (-1) = 2 (-4) x (-5) = 20 (- 20) ÷(-5) = 4 (-3) x (-3) = 9 (-9) ÷ (-3) = 3 (-5) x (-8) = 40 (-40) ÷ (-8) = 5 Created by Mr. Lafferty Maths Dept.

Rule Integers Different Signs = NEGATIVE answer Multiplication & Division www. mathsrevision. com MNU 3 -04 a 02 -Oct-20 1 x (-2) = (-2) ÷ 1 = -2 (-4) x 5 = -20 (- 20) ÷ 5 = -4 (-3) x 3 = -9 15 ÷ (-5) = -3 5 x (-8) = -40 40 ÷ (-8) = -5 Created by Mr. Lafferty Maths Dept.

Integers MNU 3 -04 a www. mathsrevision. com Examples (1) (-3) x 7 = -21 (2) 54 ÷ (-9) = -6 (3) (-4) x (-8) = 32 (4) (-12) ÷ (-2) =6 (5) -5 x (25 – 30) = 25 (6) ((-8) x 6) ÷ 3 = -16 02 -Oct-20 Created by Mr. Lafferty Maths Dept Online Practice

Integers www. mathsrevision. com MNU 3 -04 a Now try TJ 3 a Ex 4 Ch 4 (page 37) 02 -Oct-20 Created by Mr. Lafferty Maths Department

02 -Oct-20 Level 3 Exercise 5 4. 1. 3. 2. Julia house. The removal took 8 Whichhas of moved these numbers would NOTfirm be equal If a=2 toand b=3, find the value of hours complete the move. to 7· 4 when rounded to one decimal place? 14 4 a + 2 b They charged £ 164· 00 in total. A 7· 38 The product two numbers is 112. per hour? What did the of removal firm charge 7· 44 is 4. One of the Bnumbers £ 20. 50 28 7· 351 number? What is the. C other D 7· 451

Integers www. mathsrevision. com MNU 3 -04 a Mixed Online Practice 02 -Oct-20 Created by Mr. Lafferty Maths Department

Have you updated your Learning Log ? Integers www. mathsrevision. com MNU 3 -04 a Now try TJ 3 a MIXED Q’s Ex 5 Ch 4 (page 39) Are you on Target ? I can ? 02 -Oct-20 Are you on Target ? I can ? Created by Mr. Lafferty Maths Department