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Name: _____________________ Due: Year 7 HOMEWORK 6 – Using negative numbers in real life contexts Answer all questions to the best of your ability. Don’t forget to come to Maths Clinic (Monday, Tuesday, Thursday & Friday in IT04 from 12:30-13:00) if you need some help! Please answer questions on the sheet. Do not use your calculator unless specified. Make sure you show your working! Example The temperature in Venice is 11˚C. The temperature in London is -2˚C. What is the difference in temperature? 11 + (-2) = 13˚C Question 1 Put these temperatures in order from coldest to warmest. Copenhagen 6˚C Berlin -3˚C Reykjavik -12˚C Madrid 0˚C London -0.5˚C What is the difference in temperature between: a) Reykjavik and Berlin ____ b) Copenhagen and London ____ Question 2 Complete these pairs of calculations. 2+ =6 -5 + =3 2- =6 -5 - =3 +9=6 8+ = -12 - (-9) = 6 8- = -12 Question 3 Which of these statements are ALWAYS, SOMETIMES and NEVER true. ALWAYS TRUE (-2) – (-4) If you subtract a negative number from a negative number you get a positive answer. SOMETIMES TRUE Adding a negative gives the same result as subtracting a positive 4 + (-9) = 4 – (+9) (-3) + (-7) NEVER TRUE If you add two negative numbers, you get a positive answer Name: _________________________________________________ Initials: ______ Date: _________ You can demonstrate your understanding of directed numbers in a diagram WWW What went well You can calculate the answers to questions involving addition and subtraction of positive and negative numbers Revise: what happens when you add a negative, or subtract a positive Try: drawing diagrams to represent the question you are trying to answer Try: using a number line to visualise negative and positive numbers Make sure that you: check your working / show your working out / include any units Use: MyMaths.co.uk or come to Maths Clinic (Mon, Tues, Thurs & Fri lunchtime – IT04). Please complete: NYM Now you must a) Write a calculation for which this statement is true: If you subtract a negative number from a negative number you get a positive answer. b) Write a calculation for which this statement is true: If you subtract a negative number from a negative number you get a negative answer. AT Action taken Mark Scheme Print homeworks in this format. Use one A4 sheet per homework: Homework page 1 Homework page 2 and on the reverse Question 1 Coldest Reykjavik -12˚C Berlin - 3˚C London -0.5˚C Madrid 0˚C Copenhagen 6˚C Warmest Difference between: Reykjavik and Berlin: 9˚C (not -9˚C) Copenhagen and London: 6.5˚C Question 2 2 + +4 = 6 2 - -4 = 6 -5 + +8 = 3 - 5 - -8 = 3 -3 + 9 = 6 - 3 – (-9) = 6 8 + -20 = -12 8 - +20 = - 12 Blank page for sticking into book Assessment sticker page, which when folded will form front of booklet Question 3 (-2) – (-4) ALWAYS TRUE If you subtract a negative number from a negative number you get a positive answer. SOMETIMES TRUE Adding a negative gives the same result as subtracting a positive 4 + (-9) = 4 – (+9) (-3) + (-7) NEVER TRUE If you add two negative numbers, you get a positive answer Challenge question (from assessment sticker) a) Write a calculation for which this statement is true: If you subtract a negative number from a negative number you get a positive answer. For example: -3 – (-5) = + 2 b) Write a calculation for which this statement is true: If you subtract a negative number from a negative number you get a negative answer. For example: -3 – (-1) = - 2