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Integers

Integers. Integers in Context. Integers Using a Thermometer. www.mathsrevision.com. Adding & Subtracting Integers. Starter Questions. Solve h – 3 = 18 2. 9 + 6 x 7 3. Show an example of an acute angle. www.mathsrevision.com. Integers. Learning Intention. Success Criteria.

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Integers

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  1. Integers Integers in Context Integers Using a Thermometer www.mathsrevision.com Adding & Subtracting Integers Created by Mr. Lafferty Maths Dept

  2. Starter Questions • Solve h – 3 = 18 • 2. 9 + 6 x 7 • 3. Show an example of an acute angle. www.mathsrevision.com Created by Mr.Lafferty Math Dept

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

  4. Integers 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 www.mathsrevision.com Write down 3 places where Integers are used Bank Sea-Level Height Weather Created by Mr. Lafferty Maths Dept

  5. Write down the temperature indicated on the thermometer. 44oF 7oF -36oF -43oF Created by Mr. Lafferty Maths Dept

  6. Context Questions A weather station predicted the temperature on Saturday would be 85°F. If the actual temperature was 11° colder than their prediction, what temperature was it? 85 – 11 = 74oF Sarah set the thermostat in her house to 72°F, which was 16° cooler than the temperature outside. What temperature was it outside? 72 + 16 = 88oF Sarah bank account showed that she has £150. If she withdraws £210 from her account. What will her balance show up as now. 150 - 210 = -£60.00 John balance shows -£70. He pays a bill of £80 with his debit card and then his pay of £240 was paid into his account. What will his balance show up as now. -70 – 80 + 240 = £90.00 Created by Mr. Lafferty Maths Dept

  7. Integers Now try TJ2b Ex 1 Ch8 (page 81) www.mathsrevision.com Created by Mr. Lafferty Maths Department

  8. Starter Questions • Solve y + 75 = 100 • 2. 8 - 10 • 3. Show an example of an obtuse angle. www.mathsrevision.com Created by Mr.Lafferty Math Dept

  9. Integers Addition & Subtraction Learning Intention Success Criteria • To be able to write down mathematically the addition and subtraction of integers. • 1 We are learning how to write down mathematically addition and subtraction of integers. www.mathsrevision.com Created by Mr. Lafferty Maths Dept

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

  11. Integers Put these temperatures in order starting with coldest first. 17oC -3oC -15oC 0oC 2oC www.mathsrevision.com Created by Mr. Lafferty Maths Dept

  12. Integers On a cold winters night the temperature drops by 3oC every hour. • The temperature is 1oC at 10pm. • What is the temperature at 11pm. • What is the temperature at 2pm. -2oC www.mathsrevision.com -11oC Created by Mr. Lafferty Maths Dept

  13. Integers Now try TJ2b Ex 2 Ch8 (page 83) www.mathsrevision.com Created by Mr. Lafferty Maths Department

  14. Starter Questions Q1. Calculate Q2. How many euros do I get for £10 if exchange rate is £1  1.4 € Q3. What is the time difference 09:45 and 20:30 www.mathsrevision.com Q4. The answer to the question is 30. What is the question. Created by Mr. Lafferty Maths Dept

  15. Integers Addition & Subtraction Learning Intention Success Criteria • To understand the ‘double negative’ rule for integers. • 1. We are learning the ‘double negative’ rule for integers. • 2. To be able to solve problems using the ‘double negative’ rule. www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

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

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

  18. Integers Examples (1) (-3) – 4 + 2 = -5 (2) 4 + 5 + (-9) + (-2) = -2 (3) -7 – 8 + (-3) + (-10) = -28 www.mathsrevision.com (4) -2 + 8 – 6 + (-7) = -7 (5) -5 – (25 – 10) = -20 (6) (-800) + (-900) + 400 = -1300 Created by Mr. Lafferty Maths Dept

  19. Have you updated your Learning Log ? Integers Now try TJ2b Ex 3 Ch8 (page 84) www.mathsrevision.com Are you on Target ? I can ? Are you on Target ? I can ? Created by Mr. Lafferty Maths Department

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