6 TM Maths Strategies and Making Maths Friendly Chris Linthorne Sandra Williams Peter Williams
+ Addition Strategy Friendly Jumps Jump forward to a friendly number. 0.58 + 0.07 +0.0 Make a number line in your head to jump along. 0.58 +0.05 0.60 0.65 Jump forward the rest. Other Examples $.0 + 80c +70c $.0 $4. + 65c +0c $.00 $.0 +c $4. +5c $5.00 $5.5 Day $4. + 70c $.40 + 70c 80 + 60 55 + 6 960 + 75 8. + 0.09 4 4 0.8 + 0.07 0.7 + 0.04 5 $6. + 65c 6 0.95 + 0.08 6 $.97 + 6c 7 $4.40 + 65c 7 $.80 + 70c 8 0 + 85 8.57 + 0.04 9 0.57 + 0.06 9 0 + 77 0 How much is a pie with sauce? Q 0: ISBN 978 745 4 9 /0 Pie $5.80 Chips $4.0 Sauce 5c Drink $.00 5 698 + 0 The school high jump record is.8 m and Ashton beat the record by 0.08 m. What is the new record height? 7
Week Day Day $4.70 + 60c $7.70 + c.5 + 0.7 4 9.5 + 0.06 + 95 4 0.87 + 0.06 6 60 x 00 6 900 x 7 400 x 4 7 70 x 70 9 60 5. + 0.8 5 $.0 + 80c 8 00 55 80 + 45 + 80 8 $40 $80 9 0 55 8 0 of 0 Write kilometres in abbreviated form. Write sixty million as a numeral. of Write three million as a numeral. Name the compass point midway between south and east. What is the next number in this pattern? What is the next number in this pattern?.4 4. 4.8 5.5 0.08 0. 0.4 0.7 4 What is the repeated gap in the pattern? +7 +0.7 +0.07 4 What is the repeated gap in the pattern? + +0. +0.0 5 Which of these numbers has the greater value? 4 000 00 900 00 5 Write the measurement that is abbreviated as mm in word form. 6 Which digit is in the thousands place in 4 7 900? 7 Write the measurement that is abbreviated as kg in word form. 6 Write centimetres in abbreviated form. 7 Which digit is in the millions place in 75 600 8? 8 Which of the labelled cities in Japan is located the furthest north? JAPAN 9 Which city is at map reference D4? 8 0: Sapporo N E W S Osaka Fukuoka 9 How many zeros are used to write ten million as a numeral? Sendai Kyoto Nagoya 4 Hiroshima 0 What is the compass direction from Kyoto to Hiroshima? 8 Which of these numbers has the greater value? 55 0 0 0 Tokyo 0 Write the map reference for Sendai. 5 A B C D E 0: ISBN 978 745 4 9
Day 4 Day 5 660 + 60 $. + 80c 7.6 + 0.5 4 0.95 + 0.5 Assessment 0.48 + 0.07 $.80 + 55c $0.90 + c 4 0.95 + 0.5 5 $8.90 + 60c 5 0.9 + 0.09 6 $.60 + 45c 6 70 x 000 7 5.5 + 0.6 7 00 x 8 9 60 9 50 40 8 480 + 40 9 $8.80 + 5c 0 $.0 + 80c 0 4 of 8 What is the next number in this pattern? Which of these numbers has the greater value? 00 000 00 80 000 800 0.8 0.87 0.9 0.97 What is the repeated gap in the pattern? Write millilitres in abbreviated form. Write nine hundred million as a numeral. Write eight hundred and twenty-one million as a numeral. 4 The thickness of the wire on a paperclip is about: mm cm m km 4 Write kilograms in abbreviated form. 5 Which of these numbers has the greater value? 7 00 7 700 5 What is the next number in this pattern? 0.0 0.5 0.40 0.55 6 Which digit is in the hundred thousands place in 77 95 80? 6 What is the repeated gap in the pattern? 7 A jelly bean has a mass of about: one gram one kilogram 7 Write forty-four million as a numeral. 8 Which digit is in the ten thousands place in 67 90? Cairns 4 5 Brisbane ISBN 978 745 4 9 0: Melbourne E W S A B C Sydney Adelaide N 8 0 Which three cities have a map reference ending with 6? 9 What is the compass direction from Cairns to Perth? Perth 6 7 8 Which of the labelled cities is located the furthest south? Darwin 9 A flight from Sydney to Adelaide to Hobart travels in which two directions? one tonne D E F Hobart G H I 0 Which state capital is north-west of Melbourne? 0: 9
+ Addition Strategy Friendly Balance Move amounts from one number to another to make easy additions. Find a number to make friendly. Make a friendly number. Moving part of a number keeps the addition balanced. Calculate. 0.98 + 0.85 move 0.0 =.00 + 0.8 =.8 Other Examples 4.4 +.7 $6.75 + $5.0 move 0. move 5c = 4. +.0 = $7.00 + $5.05 = 7. = $.05 Day 490 + 5. +.9 5. +.9 $.75 + c $4.80 + $.0 4 598 + 55 4 5 + 49 5 $.95 + $.5 5 99 + 0 6 0.98 + 0.7 6 7.9 + 8. 7 90 + 0 7 99c + 46c 8 $8.90 + $.0 8 $.55 + $.45 9 69 + 7 9 695 + 05 0 Hal s height is 9 cm. Buster is cm taller. What is Buster s height? 0 Anna swam her first m lap in 4 seconds and her second lap in 6 seconds. How long did Anna take to swim 00 m? Q 0: 0 /0 0.99 + 0.6 ISBN 978 745 4 9
Day Day 4.9 +. $4.0 + $.80 0.5 + 0.49 4 $7.90 + $.0 595 + 605 4 $7.75 + c 5 0.9 + 0. 6 99 x 6 999 x 7 99 x 5 7 999 x 7 9 67 9 5 89 + 9 8 84 9 0.98 + 0.66 98c + 5c 8 490 95 9 605 95 0 6 of 8 0 9 of 8 Calculate the perimeter of this blue rectangle. Round 8845 to the nearest 00. 0 m Round 8845 to the nearest 000. 6m What is its area? Calculate the perimeter of a picture frame measuring 0 cm by 40 cm. Round 696 to the nearest hundred. 4 Work out the area of the glass for a picture frame with the same dimensions. 4 Round 696 to the nearest thousand. 5 Name the compass point midway between north and east. 5 Name the compass point midway between south-east and south-west. 6 Which direction is a quarter turn anticlockwise from north? 6 Which direction is opposite north-west? 7 Circle the four factors of 5. 5 8 0 5 7 List the six factors of. 8 List the four factors of 8. 8 On which days does the Sydney Ferry stop at Taronga Zoo and Darling Harbour? 9 When does the Sydney Ferry stop at Taronga Zoo on Monday? 9 Can you catch a ferry from Circular Quay to Darling Harbour on Thursday? Sydney Ferry Company 0 How long does the ferry journey between Manly and Taronga Zoo take? ISBN 978 745 4 9 0: Afternoon services Monday Tuesday Wednesday Thursday Friday Circular Quay :00 pm :00 pm :00 pm :00 pm :00 pm Taronga Darling Circular Zoo Harbour Quay :0 pm 4:00 pm 5:0 pm 5:0 pm :0 pm 4:55 pm :0 pm 4:00 pm 5:0 pm 5:0 pm :0 pm 4:55 pm :0 pm 4:00 pm 5:0 pm 5:0 pm Manly 0 What time does the ferry arrive at Darling Harbour on Wednesday? 0:
Day 4 Day 5 6.9 + 7. 5.4 + 4.9 $.95 + $.05 4 0.99 + 0.5 5 590 + 0 Assessment 0.4 + 0.6 8c + c $.95 + 90c 4 $8.90 + $.0 5 99c + 9c 6 45 + 55 6 4 x 999 7 4.8 +. 7 8 x 99 8 9 48 9 8 9 8 $4.95 + $.55 9 $5.75 + c 0 698 + 70 0 7 of 56 Round 5 to the nearest hundred. Calculate the perimeter of this purple rectangle. Round 5 to the nearest thousand. 0 mm 8 mm What is its area? Write the two prime numbers between 0 and 0. The distance from Sydney to L.A. is 065 km. Round it to the nearest 00 km. 4 8 of 64 = 5 Calculate the perimeter of a swimming pool measuring 5 m by 0 m. 4 Round the flight distance from Sydney to L.A. to the nearest 000 km. 6 What is the area of a swimming pool with the same dimensions? 5 List the four prime numbers between 0 and 0. 7 Circle the six factors of 8. 6 9 8 6 List the eight factors of 40. 8 What time on Friday does the Sydney Ferry reach Darling Harbour? 7 Which direction is a 4 turn anticlockwise from north-west? 9 How long does the ferry journey between Taronga Zoo and Circular Quay take? 8 How far is ten laps around a sports field that is 00 m long and m wide? 9 How long does the round trip from Circular Quay to Circular Quay take on Tuesday? 0 How much travel time is saved on the round trip on Tuesday compared to Wednesday? 0: Sydney Ferry Company Afternoon services Monday Tuesday Wednesday Thursday Friday Circular Quay :00 pm :00 pm :00 pm :00 pm :00 pm Taronga Darling Circular Zoo Harbour Quay :0 pm 4:00 pm 5:0 pm 5:0 pm :0 pm 4:55 pm :0 pm 4:00 pm 5:0 pm 5:0 pm :0 pm 4:55 pm :0 pm 4:00 pm 5:0 pm 5:0 pm Manly 0 The ferry left Manly 0 minutes late on Tuesday. When should it be expected at Circular Quay? 0: ISBN 978 745 4 9
Day Day $5. + 70c $8 $.5 80 + 60 0.45 970 + 5 $0 $. 4 0.87 + 0.04 4 $.80 55c 6 0.95 + 0.06 5 5 98 + $0 $5. 6 0.65 7 $0 $. 8 0.78 + 0.07 8 $.70 5c 9 0 + 60 9 0 460 + 65 0 600 ml ml The inverse of x 4 = 0 is 0 4 =. Write the inverse of x 7 = 40, then solve. Write the inverse of x 0 = 0, then solve. Write the inverse of = 8, then solve. x 6 = 480, then solve. 7 0.5 + 0.09 Write the inverse of 0 000 What is the change from $0 if an item costs $8.? 4 Which shape shows a slide to the right? 4 What is the size of this angle? 70 0 80 0 70 0 70 0 0 90 0 70 0 70 0 0 Which shape shows a flip to the right? 5 How many c coins make $8? 5 Which shape shows a quarter-turn clockwise? 6 W rite the probability of choosing a green ball from this bag as a fraction. 6 W rite the probability of tossing a coin for tails as a fraction. 7 W rite the probability of choosing a pink ball from the bag as a simplified fraction. 7 Write as a fraction the probability of winning a raffle in which 00 tickets were sold and you bought three tickets. 8 Which shape shows a flip to the right? 8 M arcy bought a box of cupcake mix for $4.45. How much change from $5 should she get? 9 Which shape shows a slide to the right? 9 Draw two more notes to make the total exactly $. ISBN 978 745 4 9 0: 0 70 0 70 0 0 90 0 70 0 70 0 0 0 What is the size of this angle? 60 0 80 0 Which shape shows a quarter-turn anticlockwise? 0: 6
0 Day Day 4 x 5 % of 5 weeks $. x 6 % of 0 000 55 x 6 5% of 60 min 4 8 x $. 4 0% of 700 6 8 x $5. 5 5.5 x 4 5 0% of 5 kg 6 % of day 7 5 x 40 7 % of m 8 $. x 6 8 5% of 48 9.5 x 0 9 0% of 00 0 45 x 8 0 0% of $0 Write the inverse of x 9 = 60, then solve. Which shape shows a flip to the right? Write the inverse of 70 = 70, then solve. Which shape shows a slide to the right? Amelia paid $. for her fruit salad. How much change from $0 should she get? 90 0 70 0 70 0 0 0 70 0 70 0 0 4 What is the size of this angle? 40 90 40 Which shape shows a quarter-turn clockwise? 4 How many c coins make $5? 5 Write the inverse of 90 = 90, then solve. 6 Write the probability of not choosing a green ball from this bag as a fraction. 6 Write the inverse of 0.5 = 0.5, then solve. 7 What is the change from $ for two footy tickets that cost $. each? 7 What is the size of this angle? 0 80 8 Which shape shows a flip to the right? 8 Write the probability of rolling a 6-sided dice for a 5 as a fraction. 9 Which shape shows a slide to the right? 9 Write the probability of rolling the same dice for an even number as a simplified fraction. 5 How many 0c coins make $9? 6 0: 0 70 0 90 0 70 0 70 0 0 0 Which shape shows a quarter-turn anticlockwise? 70 0 0 0 Ivy has one of every Australian coin except one. Her total is $.75. Which coin doesn t Ivy have? 0: ISBN 978 745 4 9
0 Day 5 4 Which shape shows a flip to the right? 8 + 70 0.55 + 0.06 0.65 5 Which shape shows a slide to the right? 4 $0 $5. 5 5 x 40 6 Which shape shows a quarter turn anticlockwise? 6 $. x 7 Write the inverse of 40 = 8, then solve. 8 Write the inverse of x 7 =, then solve. Assessment 7.5 x 6 8 0% of 00 0 % of 60 km 9 How many 0c coins make $? Write the probability of choosing a yellow ball from this bag as a simplified fraction. 0 What is the size of this angle? 0 80 70 0 0 90 0 70 0 70 0 0 Aydan bought his lunch for $.90. How much change from $0 should he get? 0 70 0 9 5% of 8 days Write the probability of winning a raffle in which 000 tickets were sold and you bought tickets. Q 0: Think Box Calculator Flipword Use the maths clues to help you complete this crossword. Solve each clue with your calculator, then flip the calculator to read the word. Across 67 754 + 67 754 = people in charge 4 0 000 4486 = snake sound 7 96 x 4 = an opening 9 5700 7 = laid by hens 7 689 x = God... you 4 0.07 + 0.006 = Inuit ice home 6 449 7 = tree trunk 7 54 x 0 = musical instrument 9 69 4 695 = used by fish to breathe N 0 70 04 = not tight x 70 = hangman s rope 4 80 + 7008 + 000 = Christian books ISBN 978 745 4 9 Down 05 = oyster case 0 x 5 = distress signal 4 8 90 40 x = underground fantasy creature 5 000 9 = sick 6 9 + 78 + 65 + 7 = look 8 85 700 = small mountain 0 0.05 + 0.009 = sticky stuff 88 0 x = eye protector 647 x 5 = take by force 5 600 x + 06 = lays the golden egg 8 4.568 4 = symbol 9 000 94 = sphere 4 77 x 4 = heats to 00 C 60 + 4005 = heavy breath 6 487 = tell untruths 5 0.04 + 0.04 = scare 8 5 46 75 808 = toboggans 7 + 0 + = hello 6