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Hamilton Secondary Numeracy Project Simmering Term 2 Homework Name ___________________________ Week 1 Fractions Order fractions at http://www.crickweb.co.uk/ks2numeracyproperties-and-ordering.html. Scroll through the fractions and drag them in order onto the wall. If you are unsure use the testing room to compare pairs of fractions. Play the Lowest terms game at http://fractionbars.com/Lowest_Terms_Game/. Click on a card. If the fraction on it can be reduced, click on ‘Not lowest terms’ and enter the fraction (using the forwards slash key). If correct you’ll win three cards! If the fraction can’t be reduced click on ‘Lowest terms’. Play until you make three mistakes to lose, or all cards are turned over to win. Record the fractions you reduced and their simplest forms. Shuffle a pack of playing cards, take two to form an improper fraction. Write the equivalent mixed number. Repeat nine more times. Jacks count as 11, Queens as 12 and Kings as 13. HSNP © Hamilton 2012 Page 1 Simmering Term 2 Week 2 Addition of fractions Write as many pairs of fractions with different denominators with a total of 1 as you can in two minutes! Take the Jacks, Queens, Kings and Jokers out of a deck of playing cards. Shuffle what’s left. Take two and make a fraction less than one. Repeat to make another fraction. Find the total using ‘smile and kiss’. Repeat until you have eight additions. Play Fruit shoot fractions additions at http://www.sheppardsoftware.com/mathgames/fractions/FruitShootF ractionsAddition.htm. Chose level 3 and relaxed mode. Add the pair of given fractions and click on the fruit with the answer. Record the addition and answer in your homework book. What was your score out of 10? HSNP © Hamilton 2012 Page 2 Simmering Term 2 Week 3 Subtraction of fractions Subtract 1/6 from the following fractions: 1/2, 2/3, 5/12. Remember, you need to convert both fractions in each subtraction to the same denominator. Play Fruit shoot fractions subtractions at http://www.sheppardsoftware.com/mathgames/fractions/FruitShootF ractionsSubtraction.htm. Choose level 2 and relaxed mode. Add the pair of given fractions and click on the fruit with the answer. Record the addition and answer in your homework book. What was your score out of 10? If you get on well, try level 3! Roll two dice (or roll one twice) to generate a fraction less than one. Use ‘smile and kiss’ to subtract this fraction from 7/8. How many can you do in five minutes? HSNP © Hamilton 2012 Page 3 Simmering Term 2 Week 4 Multiplication Play Are you a Math Magician? at http://www.oswego.org/ocsdweb/games/mathmagician/mathsmulti.html. Choose ‘mixed’. Can you answer 20 multiplication tables questions in one minute? Play Factor feeder at http://hoodamath.com/games/factorfeeder.php. Use the arrow keys to ‘eat’ factors of the given number. You must avoid numbers which aren’t a factor, and the chasing monster! Can you play more than three games before you lose all your lives? Roll a 0-9 dice twice to create a fraction (if you roll 0, roll again). Multiply the fraction by ¾. □ × 3 □ 4 How many can you do in two minutes? Repeat, this time multiplying each fraction by 2/3. HSNP © Hamilton 2012 Page 4 Simmering Term 2 Week 5 Division Copy and complete the following table: 1 /4 /4 1 /5 3 /5 1 /8 5 /8 80 20 120 160 3 Play the Chicken coop estimation game at http://www.echalk.co.uk/tasters/taster2/taster.html. Choose ‘proper fractions of numbers (easy)’. Drag the nest to the answer on the number line. You need to be quite quick! How many eggs hatched? Play again and see if you can beat your score. If you found this easy, have a go at ‘proper fractions of numbers (hard)’. You will probably need to ‘eggstimate’ some answers! Solve the following by thinking of how many halves are in 10 for example: 10 ÷ 1/2 3 ÷ 1/4 HSNP © Hamilton 2012 2 ÷ 1/8 Page 5 4 ÷ 1/6 5 ÷ 1/5 Simmering Term 2 Week 6 Decimals Play Pop the balloons at http://www.sheppardsoftware.com/mathgames/decimals/BalloonPop Decimals1.htm. Click on the balloons in ascending order. Can you reach level 6 before time runs out? More balloons appear each time! Roll a dice three times and use the digits to write different numbers less than 1 with three decimal places. Write them in ascending order. Play Number balls at http://themathgames.com/ourgames/arithmetic-games/number-balls1/league_-1/country_1/countryNumber_-1. Click on the balls in ascending order. Can you get to level 8? What was your score? HSNP © Hamilton 2012 Page 6 Simmering Term 2 Week 7 Addition Play Circle 3 at http://nlvm.usu.edu/en/nav/frames_asid_187_g_2_t_1.html?open=in structions. Drag decimals into the circles so that the total of the three numbers in each circle is 3. Write five trios of numbers with a total of 3 in your homework book. Play Soccer maths at http://www.math-play.com/soccer-math-addingdecimals-game/adding-decimals-game.html. Click on the letter by the answer to the decimal addition. If correct click on the ball to choose where to short from and on the bar to determine the strength of shot. Tip: use estimation to help you choose the correct answer. Roll a 0 to 9 dice and flip a coin to determine whether the number is positive (heads) or negative (tails). Repeat, then add the two numbers. Record five additions. HSNP © Hamilton 2012 Page 7 Simmering Term 2 Week 8 Subtraction Play Ghostblasters 3 at http://www.oswego.org/ocsdweb/games/Ghostblasters3/ghostsub3.html. Either play against another person, or just click begin to start. Play until one score is 10 points. Choose four of these subtractions to work out by counting up or back and four to work out using a written method (decomposition). 403 – 299 748 – 236 512 – 483 845 – 321 5284 – 4999 8473 – 3637 8546 – 4005 5052 – 4978 7431 – 2321 7386 – 1998 4007 – 3597 4239 – 3976 Roll a 0 to 9 dice and flip a coin to determine whether the number is positive (heads) or negative (tails). Repeat, then find the difference between the two numbers. Draw a number line jotting if it helps. Record five subtractions. 7 -7 4 – (-7) = 11 HSNP © Hamilton 2012 4 0 Page 8 4 Simmering Term 2 Week 9 Multiplication Choose the 11, then 12 times tables from the Times table challenge at http://www.tutpup.com/plays/new/4-times-tables-game. Your character is a pink rhino. Enter the answers as quickly as you can to beat a character from somewhere else in the world. How many did you get right and wrong? Practise the facts you still need to work on. Use rounding to approximate the answers to each of the following. Write the letters in order. Now work them out. A 3782 × 6 B 1287 × 9 C 4298 × 5 D 2178 × 3 E 986 × 8 F 473 × 7 Multiply each of these numbers by a number between 1 and 10. Try to get an answer as close to 200 as you can. Which answer was closest? 24.54 HSNP © Hamilton 2012 53.26 37.24 Page 9 65.78 Simmering Term 2 Week 10 Division Play Are you a Math Magician? at http://www.oswego.org/ocsdweb/games/mathmagician/mathsmulti.html. Choose ‘mixed’. Can you answer 20 questions in less than one minute? Write down your time. Take the 10s, Jacks, Queens and Kings out from a set of playing cards and shuffle the remaining cards. Take four and try to use them to make a three-digit by single digit division, □□□ ÷ □ with an answer between 20 and 30. Write the divisions and answers with remainders where necessary. Repeat until you have six divisions with answers between 20 and 30. Roll a 0 to 9 dice and divide 134 by the number on it. If you roll 0 or 1, roll again. Work out the exact answer, so convert the remainder to a fraction where necessary, and simplify when possible. Repeat until you have six divisions. HSNP © Hamilton 2012 Page 10 Simmering Term 2 Optional week 1 Percentages Copy and complete the following: 10% of £250 is ___ 10% of 185m is ___ 10% of 45km is ___ 1% of £340 is ___ 1% of 1500ml is ___ 1% of 3750g is ___ 10% of ____ is £45 10% of ____ is 7.6cm 10% of ____ is 32cm 1% of ____ is £6.30 1% of ____ is 6cm 1% of ____ is 38cm What is 10% of 450m? 1%? 50%? Use these key percentages to work out at least ten other percentages of 450m. Join them to make a percentage chain. 21% of 450m 1% of 450m 50% of 450m 10% of 450m 5% of 450m 25% of 450m HSNP © Hamilton 2012 20% of 450m Page 11 Simmering Term 2 Optional week 2 Proportion A class of 30 pupils were asked to choose their favourite sport from swimming, football, cycling and gymnastics. Here are the results: Favourite sport Number of pupils swimming 10 football 12 cycling 6 gymnastics 2 What proportion of the class like each? Record your answers as fractions. How do you think the results would differ for your tutor group? What proportion of a normal week are school days? Which month do you think has the highest proportion of school days? Use the term dates on the school website and a calendar to help. What proportion of a school day is spent in school? Asleep? Travelling? Doing homework?! 30 pupils were asked which flavour of crisps they preferred. 12 preferred salt and vinegar and the rest preferred cheese and onion. They were also asked what hot drink they preferred. 20 preferred hot chocolate, the rest preferred tea. What proportion like each flavour of crisp and each hot drink? What is the ratio of pupils preferring salt and vinegar crisps to cheese and onion crisps? What is the ratio of the number who preferred hot chocolate to tea? HSNP © Hamilton 2012 Page 12 Simmering Term 2 Optional week 3 Inverse operations Mark the following pupil’s work using inverse operations, i.e. use addition to check subtraction and multiplication to check division. Write the correct answers by the side. 1. 7925 – 3746 = 4221 2. 8652 – 5637 = 3015 3. 292 ÷ 6 = 48 4. 457 ÷ 8 = 57 r 1 Write the missing numbers in these calculation chains: 25 + 16 – 8 – 8 + 27 – 30 + □ = 25 6 × 3 × 2 ÷ □ × 10 ÷ 5 ÷ 2 = 6 Now write your own chain which ends up at the starting number. Solve the following equations: 6 × □ = 144 258 – □ = 180 □ + £24.75 = £50 HSNP © Hamilton 2012 □ × 7 = 98 □ ÷ 23 = 7 126 ÷ □ = 42 Page 13 □ – 6.25 = 2.53 3278 + □ = 8736 Simmering Term 2 Optional week 4 Mensuration Play Perim-Bots at http://www.learnalberta.ca/content/me3us/flash/lessonLauncher.htm l?lesson=lessons/12/m3_12_00_x.swf. Answer questions about perimeter to choose a body part to build your own robot. Draw four different rectangles with an area of 24cm2. Which has the greatest perimeter? And least? Now draw four different right-angled triangles with an area of 24cm2. Investigate the Cuboid challenge at http://nrich.maths.org/content/id/8680/cuboid%20challenge%206399 .pdf. HSNP © Hamilton 2012 Page 14 Simmering Term 2 Simmering Term 2 websites Ordering Fractions http://www.crickweb.co.uk/ks2numeracy-properties-and-ordering.html Lowest terms game http://fractionbars.com/Lowest_Terms_Game/ Fruit shoot fractions additions http://www.sheppardsoftware.com/mathgames/fractions/FruitShootFractionsAdditio n.htm Fruit shoot fractions subtractions http://www.sheppardsoftware.com/mathgames/fractions/FruitShootFractionsSubtrac tion.htm Are you a Math Magician? http://www.oswego.org/ocsdweb/games/mathmagician/mathsmulti.html Factor feeder http://hoodamath.com/games/factorfeeder.php Chicken coop estimation game http://www.echalk.co.uk/tasters/taster2/taster.html Pop the balloons http://www.sheppardsoftware.com/mathgames/decimals/BalloonPopDecimals1.htm Number balls http://themathgames.com/our-games/arithmetic-games/numberballs1/league_-1/country_-1/countryNumber_-1 Circle 3 http://nlvm.usu.edu/en/nav/frames_asid_187_g_2_t_1.html?open=instructions Soccer maths http://www.math-play.com/soccer-math-adding-decimals-game/addingdecimals-game.html Ghostblasters 3 http://www.oswego.org/ocsdweb/games/Ghostblasters3/ghostsub3.html Times table challenge http://www.tutpup.com/plays/new/4-times-tables-game Perim-Bots http://www.learnalberta.ca/content/me3us/flash/lessonLauncher.html?lesson=lesson s/12/m3_12_00_x.swf Cuboid challenge http://nrich.maths.org/content/id/8680/cuboid%20challenge%206399.pdf The links to the websites and the contents of the web pages associated with such links specified on this list (hereafter collectively referred to as the ‘Links’) have been checked by Hamilton Trust and to the best of Hamilton Trust’s knowledge, are correct and accurate at the time of publication. Notwithstanding the foregoing or any other terms and conditions on the Hamilton Trust website, you acknowledge that Hamilton Trust has no control over such Links and indeed, the owners of such Links may have removed such Links, changed such Links and/or contents associated with such Links. Therefore, it is your sole responsibility to verify any of the Links which you wish you use. Hamilton Trust excludes all responsibility and liability for any loss or damage arising from the use of any Links. HSNP © Hamilton 2012 Page 15 Simmering Term 2