Integers www mathsrevision com S 33 Ordering integers

Integers www. mathsrevision. com S 33 Ordering integers Add / Sub Mathematically Letters and Numbers Multiplying Integers Dividing Integers 16 -Dec-21 Created by Mr. Lafferty Maths Dept

Starter Questions www. mathsrevision. com S 33 Q 1. Explain why Q 2. How many Euros do I get for £ 20 if exchange rate is £ 1 1. 5 € Q 3. The answer to the question is 90. What is the question. 16 -Dec-21 Created by Mr. Lafferty Maths Dept

Integers www. mathsrevision. com S 33 Learning Intention 1. 16 -Dec-21 Success Criteria To understand how to add positive and negative numbers using thermometer as an aid. 1. To be put integers in order of size. Created by Mr. Lafferty Maths Dept

Temperature www. mathsrevision. com S 33 Integers Sea Level 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 negative numbers are used Profit and Loss Coordinate Grid 16 -Dec-21 Created by Mr. Lafferty Maths Dept

Integers www. mathsrevision. com S 33 12 10 8 Integers can be represented on a thermometer or number line. The further to the top a number is the bigger it is. Greater than 12 > 4 Less than 16 -Dec-21 -2 > -3 6 4 2 0 -2 -4 -6 -8 -4 < -1 -10 -3. 5 < -2. 8 -12 Created by Mr. Lafferty Maths Dept 11 9 7 5 3 1 Positive + -1 -3 -5 -7 -9 -11 Negaive -

Integers www. mathsrevision. com S 33 Coordinate Grid Plot the point (3, 2) y - axis origin 3 2 1 -4 -3 -2 -1 0 1 2 3 4 -1 -2 -3 x-coordinate is 3 y-coordinate is 2 x - axis (-2, 2) (-4, -2) Plot the point that makes shape a parallelogram. 16 -Dec-21 Created by Mr. Lafferty Maths Dept

Integers www. mathsrevision. com S 33 Now try Exercise 2. 1 Ch 2 (page 23) 16 -Dec-21 Created by Mr. Lafferty Maths Dept.

Starter Questions www. mathsrevision. com S 33 Q 1. Is Q 2. How many euros do I get for £ 10 if exchange rate is £ 1 1. 4 € Q 3. The answer to the question is 30. What is the question. 16 -Dec-21 7 + 6 x 2 = 26 or 19 Created by Mr. Lafferty Maths Dept

Negative Numbers www. mathsrevision. com S 33 Addition & Subtraction Learning Intention 1. 16 -Dec-21 Success Criteria To explain how to write down mathematically addition and subtraction of negative integers. 1. To be able to write down mathematically the addition and subtraction of both positive and negative integers. Created by Mr. Lafferty Maths Dept

Negative Numbers www. mathsrevision. com S 33 (a) (b) (c) 8 4 2 Go up 4 0 10 + ( - 8) = -2 10 - 8 = 2 -4 -6 -7 – (- 10) = -7 + 10 = 3 16 -Dec-21 10 6 12 + 4 = 16 Start at 12 12 -8 -10 -12 Created by Mr. Lafferty Maths Dept 11 9 7 5 “+ -” side by side replace by single “-” 3 1 -1 -3 -5 -7 -9 -11 “- -” side by side replace by single “+”

Negative Numbers S 33 www. mathsrevision. com Examples (1) 3 -7 = -4 (2) 4 + (-9) = -5 (3) -7 – (- 8) =1 (4) -2 + (-12) = -14 (5) -5 – (-25) = 20 (6) 8 + (-9) = -1 16 -Dec-21 Created by Mr. Lafferty Maths Dept Remember “+ -” = “- -” = +

Integers www. mathsrevision. com S 33 Now try Ex 3. 1 to 4. 2 Ch 2 (page 26) 16 -Dec-21 Created by Mr. Lafferty Maths Dept.

Starter Questions www. mathsrevision. com S 33 16 -Dec-21 Created by Mr. Lafferty Maths Dept

Substitution www. mathsrevision. com S 33 Learning Intention Success Criteria 1. To explain the process of working out expressions by substitution method. 1. Understand process of substitution. 2. Solving expressions showing working. 16 -Dec-21 Created by Mr. Lafferty Maths Dept

Substitution www. mathsrevision. com S 33 1 If a = 2 and b = 14 evaluate a+b = 2 + 14 Sub in a=2 Sub in b=14 = 16 16 -Dec-21 Created by Mr. Lafferty Maths Dept

Substitution www. mathsrevision. com S 33 2 If a = 3 and b = -9 evaluate a-b = 3 - (-9) Remember “- -” replace by “+” = 3 + 9 = 12 16 -Dec-21 Created by Mr. Lafferty Maths Dept

Substitution www. mathsrevision. com S 33 3 If a = 3 and b = 9 evaluate b 2 – a 2 9 x 9 – 3 x 3 Remember b 2 means b x b = 81 - 9 = 72 16 -Dec-21 Created by Mr. Lafferty Maths Dept

Substitution www. mathsrevision. com S 33 If a = 5 and b = 6 evaluate 1. a + b =11 4. b - a =1 2. ab =30 5. 4 b =24 3. 3 a =15 6. 3 ab =90 16 -Dec-21 Created by Mr. Lafferty Maths Dept

Substitution www. mathsrevision. com S 33 Now try Exercise 5. 1 Ch 2 (page 28) Q 1 – Q 4 16 -Dec-21 Created by Mr. Lafferty Maths Dept

Tidying Up Like Terms www. mathsrevision. com S 33 Learning Intention Success Criteria 1. To explain the process of tidying up expressions. 1. Understand the term like terms. 2. Be able to tidy up like terms. 16 -Dec-21 Created by Mr. Lafferty Maths Dept

Tidying Terms www. mathsrevision. com S 33 WE CAN ONLY TIDY UP “LIKE TERMS” 1, 3 , 5, -6, 8 are like terms simple numbers x, 3 x , -2 x are like terms in x x 2, 3 x 2, -2 x 2 are like terms in x 2 x is NOT the same as x 2 16 -Dec-21 Created by Mr. Lafferty Maths Dept

Tidying Terms S 33 www. mathsrevision. com Examples 3 a 2 – 2 a 2 = a 2 3 x – 4 y – x – 2 y = 2 x – 6 y 4 x 2 – x – y + 6 x 2 = 10 x 2 – x - y 6 p 2 – q – 3 q + 6 p 2 = 12 p 2 – 4 q 16 -Dec-21 Created by Mr. Lafferty Maths Dept

Starter Questions www. mathsrevision. com S 33 16 -Dec-21 Created by Mr. Lafferty Maths Dept.

Integers www. mathsrevision. com S 33 Multiplication Learning Intention Success Criteria 1. Explain how to multiply positive and negative integers. 16 -Dec-21 1. Understand how to multiply positive and negative integers. Created by Mr. Lafferty Maths Dept.

Integers www. mathsrevision. com S 33 Multiplication Rules Multiplying Integers 1 x (-2) = -2 (-2) x (-1) = 2 (-4) x 5 = -20 (- 2) x (-5) = 10 (-3) x 3 = -9 (-5) x (-5) = 25 5 x (-8) = -40 (-4) x (-8) = 32 16 -Dec-21 Multiplying Integers +ve x -ve = -ve x +ve = -ve x -ve = +ve x +ve = +ve Created by Mr. Lafferty Maths Dept.

Remember BODMAS Integers www. mathsrevision. com S 33 Multiplication Rules Multiplying Integers 1 + (-2) x (-10) = 21 3+ (-5)2 8 – (-3)2 = +ve x -ve = -ve x +ve = -ve = 28 -1 5 x (-2)2 + 5 - 19= 6 16 -Dec-21 -ve x -ve = +ve x +ve = +ve Created by Mr. Lafferty Maths Dept.

Integers www. mathsrevision. com S 33 Multiplication Now try MIA Ex 6. 1 Ch 2 (page 31) 16 -Dec-21 Created by Mr. Lafferty Maths Dept.

Starter Questions www. mathsrevision. com S 33 16 -Dec-21 Created by Mr. Lafferty Maths Dept.

Integers www. mathsrevision. com S 33 Division Learning Intention Success Criteria 1. Explain how to divide positive and negative integers. 16 -Dec-21 1. Understand how to divide positive and negative integers. Created by Mr. Lafferty Maths Dept.

Integers www. mathsrevision. com S 33 Division Rules Dividing Integers 8 ÷ (-4) = -2 (-22) ÷ (-2) =11 Multiplying Integers (-24) ÷ 6 =-4 (- 56) ÷ (-7) = 8 (-3) ÷ 3 = -1 (-15) ÷ (-5) = 3 16 ÷ (-2) = -8 (-4) ÷ (-8) = 0. 5 16 -Dec-21 +ve ÷ -ve = -ve ÷ +ve = -ve ÷ -ve = +ve ÷ +ve = +ve Created by Mr. Lafferty Maths Dept.

Remember BODMAS www. mathsrevision. com S 33 Integers Division Rules Division Integers 1 + (-20) ÷ (-10) = 3 100 ÷ (-5)2 = 4 100 - 36 ÷ (-3)2 = 96 -48 ÷ (6 - 2)2 + 5 = 2 16 -Dec-21 Multiplying Integers +ve ÷ -ve = -ve ÷ +ve = -ve ÷ -ve = +ve ÷ +ve = +ve Created by Mr. Lafferty Maths Dept.

Integers www. mathsrevision. com S 33 Division Now try MIA Ex 8. 1 Ch 2 (page 31) 16 -Dec-21 Created by Mr. Lafferty Maths Dept.