home - adamstown public school - choice board...least 5 random acts of kindness. write about each...

Choice Board Try some origami. With an adult, bake or

cook something! Write out the recipe.

Play a boardgame with your family.

Choreograph a new dance.

Research an environment and create a shoebox

diorama.

Make or play a musical instrument.

Create an artwork of a landscape.

Learn a magic trick! Do some yoga. Have a paper plane contest with your family

members.

Write a letter of appreciation about

someone important in your life.

Build a blanket / pillow fort.

Practice your times tables.

Write a poem. Teach your parents something you know.

Write a reflection about what you taught them

and how.

Create a persuasive travel poster/brochure for a

fictional place.

For example you could be convincing someone

to travel to Narnia.

Devise an exercise program for you to complete at home.

Write a review for a movie you have watched

recently.

Create an artwork using different shades of a

single colour.

Write a paragraph to explain your artwork.

What do you understand about the word

‘diversity’? Draw an illustration of what this

word means to you. Write a paragraph to explain

your illustration.

Create a new game.

Write out the instructions to your game.

Play your game with your family members.

Make an effort to do at least 5 random acts of kindness. Write about

each thing you did, why you chose that and what

you felt afterwards.

Create an educational quiz for your classmates /

family to complete. You could use Kahoot to

create your quiz.

Create a podcast about something that interests

you.

Do some mindfulness.

Listen to some calming music and colour in or

draw.

Student BookSERIES

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Addition and Subtraction

Series G – Addition and Subtraction

Series Authors:

Rachel Flenley

Nicola Herringer

Contents

Topic 1 – Mental strategies (pp. 1–10)• jump strategy review __________________________________

• jump strategy with decimals _____________________________

• split strategy review ___________________________________

• split strategy with decimals ______________________________

• compensationstrategyreview ___________________________

• compensationstrategywithdecimals _____________________

• bump strategy ________________________________________

Topic 2 – Applying strategies (pp. 11–19)• addition _____________________________________________

• subtraction __________________________________________

• choosing when to add or subtract ________________________

• additionandsubtraction _______________________________

• firstto1000–apply ___________________________________

• 31 – apply ___________________________________________

• connect 3 – apply _____________________________________

• totally challenging – solve _______________________________

Topic3–Writtenmethods(pp.20–28)• addition _____________________________________________

• subtraction __________________________________________

• addingandsubtractingdecimals _________________________

• addingandsubtracting _________________________________

• you can bank on it! – solve ______________________________

• by jingo – it’s bingo! – apply _____________________________

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Date completed

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Copyright ©

SERIES TOPIC

1G 1Copyright © 3P Learning


Now model how to use the jump strategy with these:

a 225 – 47

............... – ............... = ...............

b 521 + 52

............... + ............... = ...............

Demonstrate the jump strategy by showing how to add a 3 digit number and a 2 digit number.

.......... + .......... = ..........

Whenweaddwecanusethejumpstrategytohelpus.Lookathowwedothiswith178+33.1 First we jump up by the tens.2 Then we jump up by the units.

178 + 33 = 211

Mental strategies – jump strategy review

1

178 188

+ 10 + 10 + 10 + 1 + 1 + 1

198 208 211

225

521

3

Demonstrate the jump strategy by showing how to subtract a 2 digit number from a 3 digit number:

.......... – .......... = ..........

2

Start

SERIES TOPIC

G 12Copyright © 3P Learning


Use the jump strategy to add the decimals:

a 35.4 + 3.1

............. + ............. = .............

b 84.3+1.8

............. + ............. = .............

c 17.6 + 1.9

............. + ............. = .............

Mental strategies – jump strategy with decimals

1

2 Use the jump strategy to answer the following:

a Youwinaspitballcompetition,beatingyournearestcompetitor,‘SpitballSteve’by1.6m.Yourmotherwouldbesoproud.IfSpitballStevespat4.4m,howfardidyoushoot?

b AfterweeksofpracticeSpitballSteveperfectshistechniqueandbeatsyourpreviouswinningshotby1.1m.Howfardoeshespit?

Thejumpstrategyisalsousefulwhenaddingdecimals.Lookathowwedothiswith38.6+2.6:1 First we jump up by the whole numbers.2 Then we jump up by the tenths.

38.6 + 2.6 = 41.2

+1 +1 +0.6

38.6 39.6 40.6 41.2

SERIES TOPIC



Work out what the missing number is on each set of balanced scales. Use the jump strategy.

Use the jump strategy to subtract these decimals. Break up the second number in your head:

a 36 – 3.3

............. – ............. = .............

b 51 – 2.9

............. – ............. = .............

c 68–3.9

............. – ............. = .............

We can also subtract decimals using the jump strategy.Look at how we do this with 52 – 2.61 First we jump back by the whole numbers.2 Then we jump back by the tenths.

36

51

68

3

4 I use subtraction to find the missing numbers. 36 – 8.3 = ?

36 8.3 59 11.8

Mental strategies – jump strategy with decimals

– 0.6 – 1 – 1

5249.4 50

Remember that 2.6 is made up of 2 and 0.6 You need to subtract both parts.

SERIES TOPIC



Solve these problems using the split strategy:

Mental strategies – split strategy review

Followthesestepswhenusingthesplitstrategyforadditionorsubtraction:1 Splitthesecondnumberintoitsdifferentplacevalues.2 Add or subtract each part in turn. 347+178 347 + 100 = 447 447 + 70 = 517 517+8 =525 347 + 178 = 525

1

2

3 Add or subtract around each orbit. Write your answers on each planet. Start at the shaded circle and follow the direction of the arrows!

150

– 110+ 70

+ 270

– 480+ 60

+ 190

300

– 70

+ 140

– 450

+ 340

– 90+ 130

Solve these problems using the split strategy:

a 421 – 153 = b 632–138 = c 954 – 621 =

Remember that 178 is 100 + 70 + 8

a 478+169= b 507 + 216 = c 345 + 236 =

SERIES TOPIC



Sometimesitiseasiertosplitbothnumbers.Lookathowwedothiswith21.2+3.81 We split the numbers into whole numbers and decimals.2 Wethenrearrangetheproblem,addingthewholenumbersanddecimalsseparately.3 We add the 2 answers.

21.2+3.8 = (21+3)+(0.2+0.8) = 24 + 1 = 25

Find the perimeter of each shape. Shapes are not drawn to scale. Use the split strategy to help you:

When adding decimals, it is handy if you are able to quickly identify pairs that add together to give a whole number. In each grid below, look for 4 pairs that add to give a whole number and colour in the squares. Pairs are next to each other vertically, horizontally or diagonally.

+

+

1

2

3

a b c1.6 1.1 2.3 1.5

1.2 1.4 1.5 2.7

1.7 2.5 2.9 3.3

2.1 1.8 3.2 3.5

1.7 1.5 3.8 3.1

1.3 1.2 3.2 3.6

6.3 6.4 5.1 5.5

6.2 6.6 5.6 2.5

1.4 0.3 0.7 0.9

2.4 2.6 1.2 3.2

1.5 1.7 3.5 1.5

1.6 1.2 1.8 1.1

Solve these problems using the split strategy. Make notes as you go:

Mental strategies – split strategy with decimals

a 32.3 + 2.3 = b 21.7+3.8= c 46.2 + 7.1 =

4.2 cm

2.8 cm

3.3 cm

1.5 cm

1.9 cm

0.7 cm4.2 cm

2.8 cm

3.3 cm

1.5 cm

1.9 cm

0.7 cm

4.2 cm

2.8 cm

3.3 cm

1.5 cm

1.9 cm

0.7 cm

a b c

P: P: P:

SERIES TOPIC



Use the split strategy to solve these money problems:

a Thetabletennissetcosts$34.90atthestoredowntheroad.IfGillianbuysitherefor$28.60,howmuchdoesshesave?

b Sanjeevsaved$55.50tobuythebaseballkit.Howmuchofhissavingsremainafterbuyingthekit?

c Ifshehadavoucherfora$8.75discount,howmuchdidKatyapayfortheboxinggloves?

5

Tabletennis$28.60 Baseball $42.15 Boxing$135.95

Wecanusethesameprocesstosubtractdecimals:1 We split the numbers into whole numbers and decimals.2 Wethenrearrangetheproblem,subtractingthewholenumbersanddecimalsseparately.3 We add the 2 answers.

31 . 4 – 2 . 3 = (31 – 2) + (0.4 – 0.3) = 29 + 0.1 = 29.1

4 Solve these problems using the split strategy. Make notes as you go:

a 46.8–9.3= b 55.8–4.2= c 33.2 + 13.1 =

Mental strategies – split strategy with decimals

–

–

SERIES TOPIC



Use the steps of the compensation strategy to complete these subtractions.

a 725 – 39 = b 373 – 49 =

725 – 40

373 – 50

_______ = _____________ _______ = _____________

c 285–198 = d 455 – 43 =

285–200 455 – 40

_______ = _____________ _______ = _____________

Use the steps of the compensation strategy to complete these additions.

a 424+68 = b 234+18 =

424 + 70

234 + 20

_______ = _____________ _______ = _____________

c 564 + 132 = d 214 + 141 =

564 + 130

214 + 140

_______ = _____________ _______ = _____________

Mental strategies – compensation strategy review

1

2

Sometimesweroundonenumberintheproblemtomakeiteasiertouseinourheads.Thenweadjustouranswertocompensate:

235+68 = 303 325 + 41 = 366

We rounded up by 2, We rounded down by 1, which means we added 2 which means we subtracted305 – 2 = 303 too many so we subtract 2. 365 + 1 = 366 1 too few, so we add 1 back.

Sometimesweroundonenumberintheproblemtomakeiteasiertouseinourheads.Thenweadjustouranswertocompensate:

270 – 59 = 211 350 + 73 = 423

We rounded up by 1 which We rounded down by 3 means we subtracted 1 extra, which means we need210 + 1 = 211 so we need to pay it back. 420 + 3 = 423 to add 3 more.

235 + 70 – 2 325 + 40 + 1

270 – 60 + 1 350 + 70 + 3

SERIES TOPIC



Mental strategies – compensation strategy with decimals

Followthesestepsforthecompensationstrategywhenaddingdecimals:1 Round the number closest to a whole number.2 Compensateforrounding: 31.4+5.8 31.4 + 6 I rounded up by 0.2, 51.4+8.351.4+8 I rounded down by 0.3, = 37.4 – 0.2 which means I = 59.4 + 0.3 which means I did not = 37.2 added extra so I = 59.7 add enough so I need need to subtract 0.2 to add 0.3

1 Use the steps of the compensation strategy to complete these decimal additions:

a 9.5+2.8 = b 6.4 + 3.1 =

9.5 + 3

6.4 + 3

_______ = _____________ _______ = _____________

c 8.3+1.8 = d 2.4 + 0.9 =

8.3+2 2.4 + 1

_______ = _____________ _______ = _____________

Followthesestepsforthecompensationstrategywhensubtractingdecimals:1 Round the number closest to the whole number.2 Compensateforrounding: 52.5 – 3.9 52.5 – 4 We rounded up by 0.1, 65.4–8.365.4–8 We rounded down by 0.3, = 48.5+0.1which means we = 57.4 – 0.3 which means we did not = 48.6 subtracted extra so = 57.1 subtract enough so we need to add 0.1 we need subtract 0.3

2 Use the steps of the compensation strategy to complete these decimal subtractions:

a 5.3–3.8 = b 7.2 – 2.9 =

5.3 – 4

7.2 – 3

_______ = _____________ _______ = _____________

c 68.3–1.8 = d 32.5–9.8 =

68.3–2 32.5 – 10

_______ = _____________ _______ = _____________

SERIES TOPIC



Use the bump strategy for these additions, bumping the first number each time. Write the rearranged sum underneath. The first one has been done for you.

80+14=94

Read the top of this page again to remember how best to think of the bump strategy. Pretend the numbers in the sums below are people. What would they say to each other? Look at the first example, then write your own for the next sum. You need to think carefully because the second sum is different. Can you see why?

Let’s practise identifying the number you should bump. Put a ring around the number closest to a multiple of ten.

1 Bumpthenumberclosesttoamultipleof ten. This makes the problem easier to do in our heads.

2 Adjust the other number so the differencebetweenthe2numbers stays the same. This keeps the problem the same.

3 Solve this easier problem. This then gives us the answer to our original problem.

Mental strategies – bump strategy

89+24

+1 –190 + 23 = 113

1

a 69,35 b 34,89 c 63,29 d 85,27 e 17,35 f 14,99

2

3

a 79 + 15

+1 –1

f 226 + 52

+4 –4

b 88+26

+2 –2

g 142 + 13

–2 +2

c 32 + 56

h 304+38

d 83+12

i 421 + 65

e 61 + 24

j 275 + 32

25 4349 51+ +

She is too bossy.

The bump strategy is when the number closest to ten gets impatient to start the addition process. The other number must adjust to compensate.

Hurry, give me 1 so I can round up!

SERIES TOPIC



Use the bump strategy for these subtractions:

1 Withsubtraction,weneedtobumpthe secondnumbertoamultipleoften. This makes the problem easier to do in our heads.

2 Do the same to the other number sothedifferencebetweenthe 2 numbers stays the same.

3 Solve this easier problem. This then gives us the answer to our original problem.

65 – 22

–2 –263 – 20 = 43

a 46−19

b 85−33

c 64−21

d 56−42

e 94−58

f 595−11

g 244−39

h 606−27

i 315−43

j 496−52

4

5 Solve these problems using the bump strategy. Show your working out:

a Bobweighs86kg.Tiffanyweighs52kg.HowmuchmoredoesBobweighthanTiffany?

c Janae collected toy pigs and by the end of Year5hadanimpressive498.Bytheendof Year6shehad878.Howmanydidsheaccumulateovertheyear?

b Megan saved $194 in 1 year. Her sister Jeda saved$143.HowmuchmoredidMegansave?

d Youareboredonerainyafternoonandchallengeyourbrothertoaminteatingcompetition.Heeclipsedyou,consuming147 toyour72.Howmanymoredidheeat?

Mental strategies – bump strategy

The bump strategy is when the number closest to ten gets impatient to start the subtraction process. The other number must adjust to compensate.

SERIES TOPIC

11GCopyright © 3P Learning

Addition and Subtraction 2

Applying strategies – addition

Intheprevioustopicwepractisedadditionusingspecificmentalstrategies.Inreallife,wecanchoose the mental strategy that suits us. We may have one preferred strategy or we may choose adifferentonedependingonthenumbersinvolvedintheproblem.Thereisnoonerightwaytosolve a problem.

Show 2 different ways of solving this problem. You may use the strategies covered in the previous topic or explain strategies of your own:

1

Use a mental strategy of your choice to complete these magic squares. Each row and column adds to give the number at the top.

2

250

96 87

92 36

330

58

45 110

102

Complete these equations so that each answer is between 351 and 400. You may not use zeros in any part of the sum:

a ________ + ________ = ________

b ________ + ________ = ________

c ________ – ________ = ________

d ________ – ________ = ________

3

249 + 142

SERIES TOPIC

G12Copyright © 3P Learning

Addition and Subtraction2

Applying strategies – addition

It is important to eat healthy foods that are low in fat and sugar. This table shows nutritional information of some common foods:

Bowl of coco flakes

Bowl of wheat puffs Meat pie

Salad sandwich Cola drink Fruit juice Milkshake

Total fat 1.2 g 0.7 g 33.8g 9.3 g 0 g 0 g 12 g

Sugars 28.3g 1.6 g 12.3 g 5.4 g 30 g 4.9 g 61 g

a Howhealthyarethechildrenlistedinthetablebelow?Calculatethetotalamountoffatandsugarconsumedbyeachchildforbreakfastandrecess:

Breakfast Lunch Total fat Total sugar

Sam Bowl of cocoflakesMeat pie and cola drink

Nate Bowl of wheatpuffsMeat pie and a milkshake

Wil Bowl of cocoflakesSalad sandwich and cola drink

Trey Bowl of wheatpuffsSalad sandwich and fruit juice

b Drawasmileyfacenexttothehealthiestchild.

4

5 Now it’s your turn to look at your breakfast choices. Use the packaging or a calorie counter to find the sugar and fats content of your daily breakfasts. Track your breakfasts over a week:

Day Breakfast Total fat Total sugarHow would you rate

yourbreakfastchoices?

SERIES TOPIC



Intheprevioustopicwepractisedusingspecificmentalsubtractionstrategies.Aswithaddition,wecanchoosethementalstrategythatsuitsus.Wemayhaveonepreferredstrategyorwemaychooseadifferentonedependingonthenumbersinvolvedintheproblem.There is no one right way to solve a problem.

Applying strategies – subtraction

1 Choose a mental strategy and solve these problems. Enter your answers into the crossnumber puzzle:

Across Down

1 188−35= 2 94−37=

4 90−17 = 3 48−15=

6 53−15 = 5 72−24=

7 63−49 =

6 88−56=

1 2 3

4

5 6

7

2 Show 2 different ways of solving this problem. You may use the strategies covered in the previous topic or explain strategies of your own:

3 Solve these subtraction problems using a mental strategy:

a Nariahhas$436saved.ShebuysanewMP3playercosting$127.Howmuchmoneydoesshehaveleftafterthepurchase?

b Unfortunately Nariah loses her 4th school jumper for the year. Her mum refuses to pay for another and Nariahhastocoverthecostof$52herself.Howmuchofhersavingsdoesshenowhaveleft?

503 – 251

SERIES TOPIC



4 Practise your subtraction of decimals with these wheels:

0.4 0.90.7

0.3

0.75

0.20.60.5

0.1

0.25

0.8

1 �

0.5 0.60.4

0.55

1.3

1.251.20.7

1.5

1.1

1.9

2 �

1.3 2.22.3

2.9

0.35

1.62.51.9

2.1

1.55

2.8

3 �

5 Solve these money problems using a strategy of choice:a Youhave$98.00.Thetotalofthegroceriesis$67.00.Howmuchchangewill

yougetafteryoupayforyourgroceries?

b Howmuchwillyousaveifyoubuyanitemonsalethatwas$76.95andisnow$68.99?

c Hugo’stotalgrocerybillbeforesubtractinghiscouponswas$77.84.Ifhehad$5.87incoupons,whatwashisfinalbill?

d Your mum gives you $10.00 to go to the bakery to buy morning tea. You buy 3itemsatthebakeryforatotalcostof$8.25.Youhaveadiscountvoucher worth$1.05.Howmuchchangewillyougetback?

Applying strategies – subtraction

SERIES TOPIC



Sometimeswecomeacrossproblemsthatrequireustobothaddandsubtractortomakeachoicebetween which one to use. Understanding key language terms can help with this decision.

Applying strategies – choosing when to add or subtract

Stef and Marly’s parents give each of them $10 pocket money each week. They must use some of it to buy their lunch from the school canteen every Friday.

a IftheybothsavethepocketmoneyleftoverfrombuyingFridaylunches,whowillhavesavedthemostbytheendof4weeks?Usethiscanteenpricelistandthetablesbelow.Decidewhenyouneedtoaddand when you need to subtract.

School Canteen Price List

Ham and salad sandwich $3.40 Hot chicken roll $3.60

Ham,cheeseandtomatosandwich $3.50 Sausage roll $2.20

Toasted cheese sandwich $3.20 Meat pie $2.80

Toastedham,cheeseandtomatosandwich $3.60 Tomato sauce $0.30

Week 1 2 3 4 TotalStef’s lunches

Hot chicken roll Meat pie with tomato sauce

2 toasted cheese sandwiches

Sausage roll with tomato sauce

Saved

Marly’s lunches

Sausage roll with tomato sauce

Toasted cheese sandwich

Toastedham,cheeseand tomato sandwich

2 ham and salad sandwiches

Saved

b Whosavedthemostmoney?

c Whatwasthedifference?

2

1 Below are some terms you come across in addition and subtraction word problems. Colour any terms that ask you to add in red. Colour any terms that ask you to subtract in green.

Findthedifferencebetween…

Whohasless?

Findthedifferencebetween…

Whatisthetotal?

Howmanyaltogether?

Howmanymore…than…?

Whohasmore?

minus

…plus…

SERIES TOPIC



Applying strategies – addition and subtraction

In this activity, you will follow the steps to solve this riddle:

Step 1:Solvetheseproblemsusingamentalstrategy:

579 + 35 = 462 + 10 = 247 + 30 = 686+40= 116 + 20 =

* Step 2:Solvetheseproblemsusingamentalstrategy:

500–28= 320 – 43 = 900 – 174 = 500 – 364 = 700–86=

E R D S A

Step 3:MatchthelettersandsymbolsthathavethesameanswerfromStep1and2.Writethelettersinthegridbelowtosolvetheriddle:

Whatitemofclothingdoesahousewear? ____________________________________________________

1

2 Fill in the missing numbers on these pyramids. The numbers below must add to the number directly above:

a b

c

80 45

120

195

125

500

55

130

*

Inverse operations will help you solve these!

SERIES TOPIC



Getting ready

Getting ready

What to do

What to do

The aim of 31 is to collect 3 cards of the same suit that add up as close as possible to 31.

Cardsfrom2to9arefacevaluesoifacardhas2onit,itisworth2.Acesareworth11 and picture cards are worth 10.

Players take turns to take a card from the pile and to discard any one of their cards byplacingitfacedownnexttothecentrepile.

Whenaplayerthinkstheyhavemadeatotalof31,theyshowtheircardstotheother players. The other players have one more turn to try and beat that total (get closer to 31).

The winning player scores 1 point if it is the closest to 31 in the group.

Ifthewinningplayerhasexactly31,theyscore2points.Thefirstplayerto10pointswins.

Player 1 picks 2 cards from the deck and uses them to make a 2 digit number. You canusethe2cardsinanyorder.Forexample,ifyoupicka5anda6youcouldmake56 or 65.

Whenthecardsarethesamecolour,the2digitnumberisaddedtotheplayer’sscore.Whenthecardsaredifferentcolours,thenumberissubtracted.

Startthegamewith100pointseach.Thefirstplayerto1000wins.

First to 1 000 apply

31 apply

This is a game for 2 players.

Youwillneedadeckofcardswithjustthenumbers(removetheQueen,King,Jack,Ace and Joker). You will also need a pencil and paper to keep score.

This is a game for 4 players. You will need a deck of cards with thejokersremoved,aswellasapencilandpapertokeepscore.

Choose a dealer who deals 3 cards to each player. The rest of the cards go in a pile in the centre.

SERIES TOPIC



Connect 3 apply

Onceyouhaveplayedthisgameafewtimes,trytogetmorestrategicwhenyouareplaying. If you are strategic it means that you are thinking ahead.

Whichnumbersshouldyoubeaimingfor?Why?

Whichnumbersaretheeasiestandthehardesttoget?Howdoesknowingthishelpyoutowin?

Theaimofthisgameistobethefirstplayertohave all3countersinalineeithergoinghorizontally, verticallyordiagonally.

Roll the dice and create a number sentence using either + or –.

Decide whether you want to add or subtract. It all depends on which answer you want.Whichnumberdoyouwanttoplaceacounteron?

Forexample:Player1rollsa4anda6.

Player 1 may either say “4 + 6 = 10” or “6 – 4 = 2” or “4 – 6 = –2”.

Player 1 then places a counter on the answer to the sum that they made.

Player 2 rolls the dice and creates a number sentence.

Taketurnsuntiloneplayerhasall3countersinalineeithergoinghorizontally,verticallyordiagonally.

–5 –4 –3 –2

–1 0 1 2 3

4 5 6 7 8

9 10 11 12

What to do next

What to do

Getting ready Thisisagamefor2players.Youwillneed2dice,3counters

foreachplayerindifferentcoloursandthisgameboard.

SERIES TOPIC



What to do Arrangethecardsintosixpiles.

The challenge is to make each pile add to the same total.

Use trial and error to work out what the total is.

Showwhatyoudiscoverinthespacebelow:

Totally challenging solve

Complete this challenge with a partner or on your own.

Make a copy of this page and cut out the cards.

1 2 3 4 5

6 7 8 9 10

11 12 13 14 15

16 17 18 19 20

Getting ready

copy

SERIES TOPIC



Solve these problems using the written method:

These problems have been solved already. Check that they have been completed correctly. If there are errors, give some feedback as to where they went wrong:

Solve these addition problems. First estimate the answer:

Wecanaddusingawrittenstrategy.Firstweestimatewhattheanswerwillbe:1248+457=isaround1700.Westartbyaddingtheunits:8+7=15units.Wecanrenamethisas 1 ten and 5 units. We put the 5 units in the units column and carry the 10 to the tens column.4 tens add 5 tens is 9 tens plus the carried 10 makes 10 tens. We rename this as 1 hundred and 0 tens.We put the zero in the tens column and carry the 1 hundred.2 hundreds add 4 hundreds makes 6 hundreds plus the carried hundred makes 7 hundreds. We put the 7 in the hundreds column.There is 1 thousand in the thousand column so we simply put the 1 in thethousandcolumnatthebottom.

Written methods – addition

Th H T U

1 2 4 8

+ 4 5 7

1 7 0 5

11

a Last month 1550 fans supported the local footballtournament.Thismonththereare568more fans. How many fans supported the local tournamentthismonth?

b Overthepast18months,Chanspentlotsofmoneyoncomputergames.Lastyear,hespent$1928andthisyear,hehasalreadyspent$1562. How much has he paid for computer gamessofar?

2

3

1

a 6 9 7 b 8 4 4 c 5 3 2 d 6 1 9 2+ 5 6 + 9 3 + 4 9 8 + 3 3 0

e 6 6 4 0 f 9 9 7 1 g 6 3 3 0 0 h 4 5 5 2 9+ 4 8 3 4 + 1 0 2 9 + 1 2 9 9 0 + 6 7 5 3

e: e: e: e:

e: e: e: e:

a 1 2 7 b 3 3 0 1 c 4 8 0 0+ 2 2 5 + 3 3 0 9 + 1 2 8 5

3 5 1 6 6 1 0 6 1 8 5

1 11

SERIES TOPIC



Choose a written strategy and solve the following:

Another method is to add each place value separately and then add these answers together.

Written methods – addition

5 5 6 2+ 3 3 8

1 09 0

8 0 05 0 0 05 9 0 0

5

a 6009peopleareatafootballmatchand648people are working at the ground. How many peoplearetherealtogether?

b 1382peoplearrivedatthepopconcertbycarand 4 553 arrived by train. How many people attendedtheconcert?

Solve these addition problems using a written strategy of your choice.4

a 4 4 2 6 b 3 1 1 9 c 7 7 1 3

+ 3 4 5 + 5 6 3 + 8 4 7

e: e: e:

e: e: e:

d 8 9 9 9 e 5 6 1 2 f 8 3 2 0

+ 1 0 3 4 + 2 3 2 8 + 3 6 8 9

SERIES TOPIC



Written methods – subtraction

Solve these subtraction problems. First estimate the answers:

The Mathletics writers have gone on strike until their demands for regular facials and overseas jaunts are met. You will have to design 4 of your own subtraction problems and then get a friend to answer them. The challenge is to make them interesting but not too hard.

e 5 4 1 1 f 8 4 8 0 g 3 2 1 6 3 h 9 8 7 6 2

– 3 4 6 1 – 2 0 9 3 – 3 2 1 6 – 1 1 3 9 6

e: e: e: e:

a 6 2 1 b 8 9 7 c 4 2 1 8 d 5 9 1 6

– 8 2 – 8 9 – 3 7 5 – 7 2 8

e: e: e: e:

a b– –

e: e:

c d– –

e: e:

2

1

What do you need to think about when writing subtraction problems?

Wecansubtractusingawrittenstrategy.Firstweestimatewhattheanswerwillbe:7842–6151=around1650.Westartbysubtractingtheunits:2–1=1unit.Weputtheunitintheunits column.We can’t do 4 tens subtract 5 tens so we need to rename one of the hundreds as a ten. We now have 14 tens which makes 140. 14 tens – 5 tens = 9 tens. We put the 9 in the tens column.Asweborrowedonehundred,wenowhave7hundredsleftinthehundreds column. 7 hundreds subtract 1 hundred is 6 hundreds. We put 6 in the hundreds column.7 thousands – 6 thousands is 1 thousand. We put 1 in the thousand column.Wethenchecktheansweragainstourestimate.Aretheanswerandestimatesimilar?

Th H T U

7 8 4 2

+ 6 1 5 1

1 6 9 1

17

SERIES TOPIC



Given the choice would you solve the problem 5000 − 1599 using a written strategy or a mental strategy? Explain why:

Written methods – subtraction

You are working hard to convince your parents that an overseas trip would be a far better idea than the usual 2 week camping holiday with Auntie Mabel and Uncle Bob. They are open to the idea as there are only so many campfire sing-alongs run by Big Bob that they can take. Kumbayah anyone? They have asked you to find the answers to the following questions. Make sure you show your working out:

Holiday Destinations7 days in Fiji .....................$2825perfamily9 days in New Zealand .....$1834perfamily5 days in Bali ....................$5793 per family7 days in England .............$7447 per family5daysinHongKong ........$4263 per family

3

a How much cheaper is a week in Fiji than a week inEngland?

c How much would a family save if they decided togotoHongKongfor5daysinsteadofBalifor5days?

b Howmuchmoreexpensiveis5daysinBalithan9daysinNewZealand?

d How much less would you spend if you went to NewZealandinsteadofEngland?

4

SERIES TOPIC



Abdul bought three magazines for $6.25, $3.25 and $4.95. How much did he spend altogether?

Estimate and solve these subtraction problems. Remember to put the decimal point into your answers.

Written methods – adding and subtracting decimals

When we add and subtract decimals we follow the same rules we use when working with whole numbers. We need to make sure we line up the place values and the decimal points.

4 1 2 6

– 1 8 1 7

2 3 0 9

3 1 1 1

e: e: e:

d 9 8 8 e 6 6 9 f 8 1 1

– 7 9 3 – 3 9 9 – 7 3 2

e: e: e:

a 8 4 6 b 9 1 8 c 9 1 1

– 4 2 7 – 7 3 6 – 8 0 2

Estimate and solve these addition problems. Remember to put the decimal point into your answers.

e: e: e:e:

a 6 4 1 6 b 8 4 9 6 c 9 8 6 2 d 3 1 6 6

+ 1 7 1 7 + 1 2 3 9 + 1 9 3 8 + 1 7 6 9

1

2

3

SERIES TOPIC



Use the bills to find the answers to the following:

a Whichwascheaper,eatingatBill’sBurgersorPete’sPizza?Byhowmuch?

b IfyouateatCafeUno,SushiHeavenandPete’sPizzaallin1week,howmuchwouldyouspendoneatingout?

c Whichrestaurantbillwasthecheapestandwhichwasthemostexpensive?Whatisthedifferenceinprice?

Written methods – adding and subtracting decimals

Calculate the totals of these bills:4

5

Café UnoMochaccino ......................

Hamandcheesetoastie ...

Choc chip cookie ...............

Sushi HeavenTeriyaki chicken ................

Avocado and salmon ........

Cucumber and tuna ..........

Bill’s BurgersCoke ..................................

Double cheese burger ......

Fries ..................................

Ice cream ..........................

Pete’s PizzaHawaiian pizza ..................

Vegetarian pizza ...............

Margarita pizza .................

$ 3 2 5$ 7 5 0$ 2 7 5

$

$ 4 6 0$ 5 1 5$ 4 2 5

$

$ 9 2 5$ 8 7 5$ 8 5 0

$

$ 2 5 0$ 7 0 0$ 3 7 5$ 3 6 0

$

SERIES TOPIC



Written methods – adding and subtracting

Use addition, subtraction or a combination of both to solve these word problems.

a Atthe2006Census,Australia’spopulationconsistedof9 799 252malesand10 056 036females.Whatwasthetotalpopulation?Howmanymorefemales thanmaleswerethere?

b Archie,MollyandMatildahaveacombinedmassof119kg.IfArchieweighs45kgandMollyweighs2.5kglessthanhim,howmuchdoesMatildaweigh?Mumweighs63kgandDad’smassisArchie’sandMatilda’scombined.Whatisthemassofthewholefamily?

c Marsis206 670 000kmfromtheSunandEarthis147 100 000kmfromthesun.Whatisthedifferencebetweenthesedistances?

d Harryusedhisoldbuildingblockstobuildastaircase.Heused78blocksonthebottomrow.Hethenused13lessblockseverytimeineachrowafterthat.Howmanyblockshadheusedbythetimehehadbuilt6rows?

e KeiranandAdamweregiventhesameamountofmoneyfortheirbirthdays.Whentheywentshoppingtogether,KeiranfoundaCDthathelikedbutitcost$18.75,whichwasmoremoneythanhehad. Adamlenthimhismoneyaswell.Whenhepaid,Keiranreceived$13.25inchangewhichhegavebacktoAdam.Howmuchmoneyhadtheyeachreceivedfortheirbirthdays?HowmuchdoeshestilloweAdam?

1

What words tell me I need to add? What words tell me I need to subtract?

3

SERIES TOPIC



Getting ready

What to do next Useacalculatortocompletethefollowing:

a Fill in the total debits by adding all the withdrawals.

b Fill in the total credits by adding the deposits.

c DidMrsLeedepositorwithdrawmoremoney? __________________

Whatwasthedifference? __________________

d Completethebalancecolumnbyaddingeachdepositandsubtractingeachwithdrawal.WhatwasMrsLee’sclosingbalance?

e MrsLeeispaidtwiceamonth.Whatishermonthlypay? __________________

f How much did Mrs Lee pay altogether for her council ratesandelectricitybill? __________________

You can bank on it! solve

Use Mrs Lilly Lee’s bank statement below to answer thequestionsatthebottomofthepage.

Nest Egg Bank of Australia Bank Statement

Mrs Lilly Lee Statement begins 30 October 20092/345 Waters Street Statement ends 15 November 2009Woolba NSW 2939 Account Number 062342683890975

Date Transaction Withdrawals Deposits Balance30 Oct 2009 Opening Balance 3596.8401 Nov 2009 Salary/Pay 1 546.97 5143.8105 Nov 2009 EftposGroceriesMRF 123.98 5019.8305 Nov 2009 Petrol 67.4506 Nov 2009 New Clothing 125.4008Nov2009 Council Rates 845.0010 Nov 2009 Deposit 345.7811 Nov 2009 Account Fee 5.0013 Nov 2009 Electricity Bill 674.6515 Nov 2009 Salary/Pay 1 546.97

Opening Balance Total Debits Total Credits Closing Balance$3 596.84

SERIES TOPIC



Getting ready

Throwthedie.Ifyouareallowedtohaveaturn,nominateanumberfromBoxA andsubtractanumberfromBoxB.Ifthisnumberisonyourbingocard,crossitoff. Ifnot,itistheotherplayer’sturn.Youcanusenumbersmorethanonce.Thefirstplayer with all the numbers on their card crossed out is the winner.

What to do

By jingo – it’s bingo! apply

Working out space

You can play this bingo game with a friend. You will need to use a die to see if you are allowed to play.

One player can have a turn only if they throw anoddnumber,theotheronlyiftheythrow an even number.

Box A

200 300

400 500

600 700

800 900

1000 1100

1200 1300

Box B

799 532

987 876

346 1131

222 145

1032 751

137 549

Watch your opponent. Their answers may help you!

Player 1

455 554 168

249 354 201

578 324 163

Player 2

549 169 751

268 149 401

655 654 124

Student BookSERIES

GN

ame

____

____

____

____

____

____

____

____

____

_

Time

Copyright ©

Contents

Topic 1 – Telling time (pp. 1–8)

• analogue and digital_ __________________________________

• 24 hour time_ ________________________________________

• timetables_ __________________________________________

• L.A. here we come! – solve______________________________

• race against time – apply________________________________

Topic 2 – Calculating time (pp. 9–17)

• time trails____________________________________________

• word problems________________________________________

• using a stopwatch_ ____________________________________

• whodunit? – solve_____________________________________

• connect clocks – apply__________________________________

Topic 3 – Time applications (pp. 18–26)

• calendars____________________________________________

• Australian time zones_ _________________________________

• world time zones______________________________________

• “don’t forget to call home!” – apply_______________________

• timelines – apply______________________________________

• time of your life – create________________________________

Date_completed

/ /

/ /

/ /

/ /

/ /

/ /

/ /

/ /

/ /

/ /

Series G – Time

Series Authors:

Rachel Flenley

Nicola Herringer

/ /

/ /

/ /

/ /

/ /

/ /

SERIES TOPIC


Time

Show_these_digital_times_on_the_clocks:

Express_these_times_on_the_digital_clocks:

a Half past eight b 13 minutes in the evening to midday

c 17 minutes past five d 10 to 7 inin the morning the evening

An analogue clock has two hands – an hour hand and a minute hand.

A digital clock shows time using digits. The hour always comes first.

Telling time – analogue and digital

Read_the_time_on_the_analogue_clocks_and_express_as_digital_times:

_a___ : _ b___ : _ c___ : _ d___ :

_ a___ 5:56 _ b___ 12:47 _ c___ 1:32 _ d___ 8:48

_ e___ 9:43 _ f___ 12:00 _ g___ 3:45 _ h___ 11:07

1

2

3

88:88

88:88 88:88

88:88

morning morning evening morning

SERIES TOPIC


Time

The_time_is_38_minutes_after_4_o’clock._Show_this_time_in_as_many_ways_as_you_can:

You_will_need_3_different_coloured_pencils_for_this_activity._Colour_the_times_that_match:

Telling time – analogue and digital

4

a I go to a movie that starts at 5:30. It runs for 2 hours. Circle the start time and put a box around the finish time.

b I put a cake in the oven at 2:45. It takes 48 minutes to cook. Place a double line under the start time and a cross through the finish time.

Quarter to three

Half past seven

20 to 8

4:30

3:33

6

Look_at_the_problems_below._Indicate_the_answers_as_marked:

5

15 minutes after half past two

1 hour and twenty-three minutes after 10:00

3 and a half hours after me is 3:46

1 hour and 44 minutes before 2 pm

7 minutes before eleven thirty

SERIES TOPIC


Time

Use_24_hour_time_to_write:

a 4:25 am b 9:35 pm

c 12:25 am d 12:40 pm

e 3:30 am f 2:45 pm

g 8:15 pm h 10:20 am

Convert_these_24_hour_times_into_digital_form._Write_am_or_pm_next_to_the_time:

a 1315 = __________: b 0514 = __________:

c 2330 = __________: d 0245 = __________:

We can also use the 24 hour time model to express time.We number the hours from 0 to 23 because there are 24 hours in a day. When it gets to the 24th hour, it starts again at 0.Can you think of situations when it is better to use 24 hour time rather than digital time?

Telling time – 24 hour time

Express_these_times_in_24_hour_time:

3

0000 12

0100 1

0200 2

0300 3

0400 4

0500 5

0600 6

0700 7

0800 8

0900 9

1000 10

1100 11

1200 12

1300 1

1400 2

1500 3

1600 4

1700 5

1800 6

1900 7

2000 8

2100 9

2200 10

2300 11

0000 12

AM

PM

a_ _ b___ _ c___

d_ _ e___ _ f___

am

am

pm

am

pm

pm

1

2

SERIES TOPIC


Time

This_table_shows_the_session_times_at_the_local_cinema._Use_the_information__to_answer_the_following_questions:

Convert_these_times_to_24_hour_time_then_order_them_from_earliest_to_latest:

a The first screening of Feel Good Flick is 12:00. What time does it finish? ______________________

b Which movie ends at 9:20 pm? ______________________

c Sarah arrives at the cinema at 2:45 pm. How long does she have to wait for the next screening of Animated Family? ______________________

d Matt walked out of the 11:00 session of Highschool Woes half an hour before the end. What time did he leave? ______________________

Movie Screening_times Running_time

Animated Family 13:15, 15:00, 18:00 95 minutes

Spooky Movie 19:30 110 minutes

Feel Good Flick 12:00, 15:30 90 minutes

Shoot ’em up Classic 20:00 130 minutes

Highschool Woes 11:00, 13:15 120 minutes

pmpm

am

4

5

Telling time – 24 hour time

20 past 3 in the afternoon

12:45 am

2:30 am

7:05 pm

9:35 pm

half past 3 in the morning

a quarter to 6 in the morning

SERIES TOPIC


Time

Use_this_TV_guide_to_answer_the_questions.

a What is the shortest program? ______________________

b I am setting up my DVDR to record the documentary. How long should I record for?

c How much longer is the film than the documentary?

Timetables are often used to show transport schedules. It is important to be able to read timetables as they have the information we need to plan journeys.

Timetables are also used to show the scheduling of television programs.

1

2

Telling time – timetables

Study_this_bus_timetable_and_then_fill_in_the_gaps.

Destination Bus_1 Bus_2 Bus_3 Bus_4 Bus_5

Geraldton 0900 1000 1100 1200

Port Leys 1015 1115 1215 1315

Shelley Cove 1100 1200

Albertson 1345 1445 1545

Benlin 1410 1510 1810

a How long does it take to get from Geraldton to Shelley Cove? ______________________

b How long does it take to get from Shelley Cove to Benlin? ______________________

c How often does the bus leave from Geraldton? ______________________

d How often does the bus arrive in Benlin? ______________________

e If I was leaving from Geraldton and I needed to get to Albertson by 2:00 pm, which bus should I catch? ______________________

f If I was leaving from Shelley Cove and I needed to be in Benlin by 4:30 pm which bus should I catch? ______________________

g How long does the entire journey from Geraldton to Benlin take? ______________________

17:10 Cartoons

18:00 Comedy

18:30 News

19:30 Documentary

20:45–23:15 Film

This_timetable_uses_24_hour_time.

SERIES TOPIC


Time

Telling time – timetables

Bus_Fares_(one_way)

Stops Fares

1 $1.80

2 $2.50

3 $3.50

Use_the_bus_timetable_below_to_answer_the_questions.

Bus_Route_–_City_Hall_to_Museum

Monday_to_Friday

City_Hall

Harris_Ave

York_Stree

t

Holt_S

tree

t

Museu

m

Morning

- - - 6:30 6:35 6:38 6:45

- - - 7:10 7:15 7:18 7:25

- - - - - - 7:50 7:53 8:00

- - - 8:20 - - - 8:30 8:35

9:00 9:02 9:07 9:10 9:17

9:45 9:47 9:52 9:55 10:02

10:30 10:32 10:37 10:40 10:47

Afternoon

12:00 12:02 12:07 12:10 12:17

1:30 1:32 1:37 1:40 1:47

3:00 3:02 3:07 3:10 3:17

- - - - - - 3:30 3:35 3:40

3:25 3:27 3:32 3:37 3:42

- - - 4:30 4:35 4:40 4:50

- - - 5:30 5:35 5:40 5:50

- - - 6:30 6:33 6:38 6:45

- - - 7:30 7:33 7:38 7:43

Saturday

City_Hall

Harris_Ave

York_Stree

t

Holt_S

tree

t

Museu

m

Morning

- - - 7:30 7:33 7:38 7:45

9:40 9:42 9:45 9:50 9:57

10:50 10:52 10:55 11:00 11:07

Afternoon

12:05 12:07 12:10 12:15 12:22

2:35 2:37 2:40 2:45 2:52

- - - 5:05 5:08 5:13 5:18

- - - 7:30 7:33 7:38 7:43

- - - 10:15 10:18 10:23 10:28

a Which bus does Iqbal need to catch on Thursday from City Hall to be at York Street at 9:52 am? ______________________

b Ali wants to be at Museum at 12:22 pm on Saturday. What time does she need to catch the bus at Harris Avenue? ______________________

c Lauren travelled from York Street to Museum. How much change would she get from a $10 note? ______________________

d Zac wants to travel from City Hall to Holt Street on Saturday morning. If he catches the 9:40 am bus, how long will his trip be? ______________________

e Minh travels from City Hall to Harris Avenue, where he stops for lunch. Next, he travels from Harris Avenue to Museum. How much has he spent on bus fares? ______________________

3

SERIES TOPIC


Time

L.A. here we come! solve

Five different families were travelling to Los Angeles for a holiday to one of the many theme parks. Their flights all left on the same day, but each family left at a different time and were going to a different theme park.

Find out each family’s flight number, departure time and the theme park they went to. Read the clues below and use the grid to keep track of what you find out. Use a cross when you are sure 2 variables do not match and a tick when you know that they do. The first clue has been entered into the grid to show you how to do this.

1 Flight 938 left at 4:45 pm with the Herringers on board.

2 The Herringers and the family going to Seaworld were not on the flight leaving just before 6 pm.

3 The Nicholls family who were on flight 762 were not interested in going to Knott’s Berry Farm or Disneyland.

4 Flight 938 was the flight of the family going to Universal Studios.

5 The Kirk family was the last of all the families to fly out on flight 165 on the way to Knott’s Berry farm.

6 The Flenleys were on Flight 513 which left 1 12 hours before flight 938.

Family Flight_Number Time Theme_Park

762 938 513 165 14:38 15:15 16:45 17:53 SW US DL KBF

Nicholls

Herringer

Flenley

Kirk

What_to_do

Getting_ready

SERIES TOPIC


Time

Race against time apply

This is a game for 2 players. You will each need a photocopy of this page. Cut out the cards. You and your partner should shuffle each other’s cards really well. Hand the cards back.

Add to this set of cards by writing your own matching time sums.

=_3:25 3:45_–_20_minutes 9:59_–_1_hour =_8:59

1:16_+_14_minutes =_1:30 =_4:00 3:46_+_14_minutes

10:58_+_22_minutes =_11:20 =_2:25 3:10_–_45_minutes

=_11:25 12:00_–_35_minutes 7:30_+_212 hours=_10:00

8:56_+_34_minutes =_9:30 3:56_+_24_hours =_3:56

6:30_+_312 hours=_10:00 11:50_–_25_minutes =_11:25

7:14_+_10_minutes =_7:24 3:17_+_2_days =_3:17

What_to_do

What_to_do_next

Getting_ready

copy

Race each other to match the cards to make all the sums. You will need to calculate the time sum on the white cards and then find the answer which is on the grey cards. Stop playing when one player has finished. Check each other’s cards. The winner is the player who has the most sums correct!

SERIES TOPIC


Time 2

Use_a_calculator_to_help_you_work_out_how_many:

a minutes in a day _____________________________

b minutes in a week ____________________________

c minutes in a year _____________________________

d minutes you have been alive ___________________

Convert_the_following_into_more_appropriate_units:

a 240 minutes = hours b 360 minutes = hours

c 360 seconds = minutes d 420 minutes = hours

e 420 seconds = minutes f 540 seconds = minutes

How_many_seconds_or_minutes?_You_may_use_a_calculator_if_you_wish:

a 7 minutes = seconds b 86 minutes = seconds

c 360 seconds = minutes d 420 seconds = minutes

e 240 seconds = minutes f 48 minutes = seconds

Calculating time – time trails

We can use our knowledge of basic time facts to help us convert between hours, seconds and minutes.

By knowing these facts: We can convert times such as:

1 minute = 60 seconds

1 hour = 60 minutes

1 day = 24 hours

1 year = 52 weeks

3 minutes = 180 seconds (3 × 60)

1 12 hours = 90 minutes (60 + 30)

1 week = 168 hours (7 × 24)

2 years = 104 weeks

1

2

3

4 Did_you_know_that_the_giant_tortoise_has_a_life_span_of_177_years?

How many days is this? ____________________________________________________________________

I_need_to_multiply_to_move_from__a_larger_unit_to_a_smaller_unit__and_divide_to_do_the_opposite!

SERIES TOPIC


Time2

a b c d

a b c d

Calculating time – time trails

Complete_these_clocks_to_show_the_elapsed_times:7

35_minutes 42_minutes 59_minutes 17_minutes

Start

Finish

3:35 1:14 9:07 6:32

100_minutes 19_minutes 48_minutes 12_minutes

Start

Finish 8:00 2:05 5:41 10:49

Draw_hands_on_these_clocks_to_show_the_time_half_an_hour_later:

Draw_hands_on_these_clocks_to_show_the_time_half_an_hour_earlier:

5

6

10:45

1:15

8:15

5:40

2:20

11:05

9:55

7:35

SERIES TOPIC


Time 2

Show_how_you_use_the_timeline_by_adding_the_jumps_to_each_timeline.

a Year 12 were doing a writing assessment that started at 11:20 am and finished as 1:12 pm. How much time were they allowed?

b Tammy entered a shopping centre car park at 11:32 am and left at 3:26 pm. How long was Tammy shopping for?

c Last Easter holidays, the Gilmore family got stuck in a traffic jam and were delayed. If they arrived at 5:52 pm and were due to arrive at 3:10 pm, how long were they delayed?

d On Saturday I went to a film that started at 5:15 pm and finished at 7:52 pm. How long was this film?

Calculating time – word problems

Timelines can help us with more difficult word problems.

Question:___Tina went to watch a movie that started at 5:38 pm and finished at 7:10 pm. How long did the movie go for?

Steps: 1. First count on in hours in your head to get as close to the finish time as possible and write it in the first box. (The finish time is 7:10 pm so we need to add 1 hour to 5:38 pm make it 6:38 pm.)

2. Then count on in 10 minute and 2 minute jumps until you get to the finish time.

Answer:_1 hour and 32 minutes

5:38 pm + 1 hour = 6:38_pm 7:10_pm

1

11:20 am + 1 hour = 12:20_pm

11:32 am + 3 hours = 2:32_pm

3:10 pm + ____ =

5:15 pm + ____ =

SERIES TOPIC


Time2

Figure_out_the_scale_used_for_these_timelines_and_answer_the_questions:

a Work out the time each person arrived at the soccer match using the scale below and this clue: Charlie arrived 14 minutes later than Marty.

Marty :

Charlie :

Lanya :

b Work out what time the first person arrived at Dan’s party using the scale below and this clue: Lunch was served at 12:50 pm.

The first person arrived at :

Calculating time – word problems

Use_these_timelines_to_help_work_out_the_answers_by_working_backwards:

a Amity’s alarm clock went off at 7:42 am. This was 2 hours and 48 minutes too late so she missed her bus. What time should it have gone off?

:

b A plane arrived in Sydney at 9:48 am. It had left Adelaide 2 hours and 36 minutes earlier. What time did it leave Adelaide?

:

3

2

7:42_am

–40 mins –8 mins

9:48_am

–30 mins –6 mins

Lanya arrivedCharlie arrivedMarty arrived

1:15 pm

Party games startLunch is servedFirst person arrives

3:00 pm

HINT:_Count_back_in__minutes_and_then_hours._

To_work_out_the__scale,_count_the__spaces_and_divide__into_the_number___of_minutes_given.

SERIES TOPIC


Time 2

Show_the_time_on_these_stopwatches:

a 1 minute, 31 seconds and 99 hundredths of a second.

b 5 minutes, 16 seconds and 59 hundredths of a second.

c 2 minutes, 17 seconds and 89 hundredths of a second.

Show_the_final_time_on_the_stopwatch_after_adding_these_times_together:

36 hundredths of a second

61 seconds

16 minutes

14 minutes

21 hundredths of a second

Calculating time – using a stopwatch

Explain_what_each_number_represents_on_the_following_stopwatches:

a

b

c

1

2

3

The time on this stopwatch reads as:3 minutes, 52 seconds and 42 hundredths of a second. 03:52:42

03:32:21

04:47:16

05:57:49

SERIES TOPIC


Time2

How_fast_is_your_reaction_time?_Find_a_partner_and_time_each_other_with_a_stopwatch_to_do_the_following_tasks:

a Touch each square in numerical order _____________________________________________________

b Touch each square in order of even numbers _______________________________________________

c Touch each square in order of odd numbers ________________________________________________

d Try each of the above with your other hand ________________________________________________

Now,_work_with_your_partner_to_estimate_and_measure_the_time_it_takes_to_complete_an_activity.

Choose_an_activity_such_as_race_from_the_library_to_the_office._Make_your_prediction,_then_try_it_out.

How close are you? Do your estimations get closer with practice?

____________________________________________________________

_ Serena_ Time difference_ Jelena

a_ 02:18:16_ _

02:18:17

b_ 01:24:49_ _

01:24:46

c_ 05:37:18_ _

05:37:94

d Based on these trials, who do you predict might come first in the marathon? ______________________

Calculating time – using a stopwatch

Jelena_and_Serena_are_running_time_trials_in_preparation_for_a_marathon._For_each_trial_find_the_time_difference_between_the_two_girls:

6

5

4

3

4

6

7

5

9

10

8

1

2

Choose_a_safe_activity_that_your_teacher_approves_of!

SERIES TOPIC


Time 2

Whodunit? solve

Mrs Smith is livid … furious … about to burst a blood vessel. She has come home at 6 pm to find that one of her kids has dropped pizza on the new cream sofa, leaving tomato sauce and ham everywhere. And as for the grease stains, she can’t bear to even think about them.

Mr Smith was in the shed the whole afternoon and can cast no light on the matter. She will deal with him later.

She has hauled in all the kids to find the culprit.

Read each alibi and find out who is lying. Someone has a gap in their timeline. And in that time, they managed to make the mess … Use the timetable to show who is the guilty party. Note: They all finish school at 3:30 pm.

Jack says he couldn’t have done it because: “School finished at 3:30 pm and I went straight to soccer practice. It takes 15 minutes to get to soccer practice and the practice lasted for an hour. Then it took 15 minutes to walk home. And Tom came home with me and we were on the PlayStation for an hour and then you came home! Ask Tom, he’ll tell you we didn’t leave the PlayStation.”

Madison’s alibi is: “I can’t have done it! I had dance class after school in the gym for an hour. And then Li’s mum picked me up and took us both out for ice cream. That took 30 minutes. And then I went back to Li’s and we MSN’ed for 45 minutes. Then I walked home and that takes 15 minutes. So it wasn’t me!”

Dakota claims innocence this way: “Well, it couldn’t have been me because I went next door to Nikki’s after school for 1 hour and 45 minutes. And then I came home and got changed for kung fu which took 15 minutes. And then just as I finished, Nikki rang at 5:45 pm to say they would pick me up in 15 minutes to go to kung fu, so I am innocent!”

Whodunnit? __________________________________________________________

Think of an appropriate consequence for the guilty party.

Time Jack Dakota Madison

3:30–4:00

4:00–4:30

4:30–5:00

5:00–5:30

5:30–6:00

What_to_do

What_to_do_next

Getting_ready

SERIES TOPIC


Time2

Connect clocks apply

This is a game for 2 players. You will each need a set of 3 counters of the same colour. You will need a photocopy of this page and the next page. Cut out the cards once you have copied the page.

The aim of this game is to get 3 counters in a line either diagonally, horizontally or vertically.

After you have cut out the cards on the next page, you place them in a pile turned over. Player 1 turns the first card over and places a counter on the matching clock face. Player 2 then has a turn and so on.

The winner is the first person is to get 3 counters in a line.

What_to_do

Getting_ready

The_clocks_with_grey_backgrounds_are_pm_times_and_the_clocks_with_white_backgrounds_are_am_times.

copy

SERIES TOPIC


Time 2

Connect clocks apply

1810A_quarter_to_

twelve_at_night1530 11:30_am

3:45_pm 10:15_amA_quarter_past_three_in_the_morning

2115

1510 9:45_am Seven_twenty_pm_ 8:20_am

Midday 1430A_quarter_past_

midnight2200

5:20_pm 10:00_am 1540 1415

7:45_am 1810 Ten_past_midnight Four_fifteen_pm

Half_past__three_pm

Eleven_thirty_am 14:20 1720

9:10_am 1630 2:20_amA_quarter_to_6__in_the_morning

1845 1720Thirty_minutes_before_7_pm

18_before_2_pm

copy

SERIES TOPIC


Time3

January_2010

M T W T F S S

1 2 3

4 5 6 7 8 9 10

11 12 13 14 15 16 17

18 19 20 21 22 23 24

25 26 27 28 29 30 31

April_2010

M T W T F S S

1 2 3 4

5 6 7 8 9 10 11

12 13 14 15 16 17 18

19 20

October_2010

M T W T F S S

1 2 3

4 5 6 7 8 9 10

11 12 13 14 15 16 17

18 19 20 21 22 23 24

25 26 27 28 29 30 31

July_2010

M T W T F S S

1 2 3 4

5 6 7 8 9 10 11

12 13 14 15 16 17 18

19 20 21 22 23 24 25

26

February_2010

M T W T F S S

1 2 3 4 5 6 7

8 9 10 11 12 13 14

15 16 17 18 19 20

May_2010

M T W T F S S

1 2

3 4 5 6 7 8 9

10 11 12 13 14 15 16

17 18 19 20

November_2010

M T W T F S S

1 2 3 4 5 6 7

8 9 10 11 12 13 14

15 16 17 18 19 20 21

22 23 24 25

August_2010

M T W T F S S

1

2 3 4 5 6 7 8

9 10 11 12 13 14 15

16 17 18 19 20 21 22

23 24 25

March_2010

M T W T F S S

1 2 3 4 5 6 7

8 9 10 11 12 13 14

15 16 17 18 19 20 21

June_2010

M T W T F S S

1 2 3 4 5 6

7 8 9 10 11 12 13

14 15 16 17 18 19 20

December_2010

M T W T F S S

1 2 3 4 5

6 7 8 9 10 11 12

13 14 15 16 17 18 19

20

September_2010

M T W T F S S

1 2 3 4 5

6 7 8 9 10 11 12

13 14 15 16 17 18 19

20 21

Use_the_completed_calendar_to_answer_these_questions:

a How many times does the end of the month fall on a Saturday?

b Which day of the week is the last day of the previous year?

c Which day of the week is the first day of the following year?

Time applications – calendars

Calendars_have_been_used_by_different_civilisations_for_thousands_of_years.__Fill_in_the_rest_of_the_dates_on_this_calendar.

1

2

SERIES TOPIC


Time 3

Use_the_calendar_for_2010_on_page_18_to_answer_this_question._What_date_and_day_of_the_week_am_I?

a I am in the second week of the third month, in 2010. I am a single digit. I am not Monday.

I am ________________________________________________________________________________

b I am in the month with 30 days that comes straight after March. I am in the middle week and I am right before the weekend.

I am ________________________________________________________________________________

c I am the last day of a summer month in the northern hemisphere. I am not July or August.

I am ________________________________________________________________________________

You_get_an_allowance_from_your_parents_provided_you_complete_all_your_chores_on_time.__They_let_you_choose_how_you_want_to_be_paid.

Option 1: Receive $50 a month

Option 2: Receive $12 a week

Which option will you choose? _____________________

Use the calendar to work it out and show your reasoning.

Time applications – calendars

3

4

SERIES TOPIC


Time3

Australia has three time zones. New Zealand has one. Why do you think this is?

Central Standard Time is 12 an hour behind Eastern Standard Time.Western Standard Time is 2 hours behind Eastern Standard Time. New Zealand is 2 hours ahead of Australian Eastern Time.

Time applications – Australian time zones

On_the_map,_label_each_capital_city_in_Australia_and_New_Zealand.

You_are_in_Brisbane_and_it_is_7_pm._What_time_will_it_be_in:

Show_the_time_in_each_zone_based_on_the_first_clock.

Brisbane Perth Darwin_ Wellington

Perth Darwin Brisbane Wellington

Western Standard Central Standard Eastern Standard New Zealand

Now_you_are_in_Perth._What_time_will_it_be_in:

1

2

3

4

4 00

CentralStandardTime

WesternStandardTime

EasternStandardTime

SERIES TOPIC


Time 3

a

c

b

d

Daylight Saving is used by New Zealand, New South Wales, Australian Capital Territory (ACT), Tasmania, Victoria and South Australia as a way of having more daylight hours after work.

When Daylight Saving begins, clocks are put forward 1 hour. When it ends, clocks are put back 1 hour. Queensland, Western Australia and the Northern Territory do not use Daylight Saving.

Time applications – Australian time zones

Sydney_to_Perth_5_hours_flying_time

Depart Sydney Arrive Perth

0610

0810

1010

1200

Darwin_to_Sydney_4_hours_flying_time

Depart Darwin Arrive Sydney

1200

1330

1420

1510

Sydney_to_Brisbane___

1 12 _hours_flying_time

Depart Sydney Arrive Brisbane

1130

1330

1530

1730

Sydney_to_Wellington__3_hours_flying_time

Depart Sydney Arrive Wellington

1715

1845

1915

2045

Complete_these_flight_schedules_in_24_hour_time,_noting_the_flying_time._Again,_use_the_time_zone_information_on_page_20_to_guide_you._Remember_to_take_daylight_saving_into_account.

6

Use_24_hour_time_to_record_the_corresponding_times_in_each_city_during_Daylight_Saving_time._Use_the_time_zone_information_on_page_20_to_guide_you.

5

a

b

0621Hobart(Tas)Adelaide

(SA)Melbourne

(VIC)Perth(WA)

1511Wellington(NZ)Sydney(NSW)

Darwin(NT)

Brisbane(QLD)

SERIES TOPIC


Time3

Lines of latitude and longitude form a grid that can be used to pinpoint any location in the world.

The equator is an imaginary line around the centre of the earth. It is measured at 0°.

Latitude is the measurement of distance in degrees north and south of the equator.

From the equator to the North and South Pole there are 90° of latitude. Lines of latitude run horizontally.

Longitude is the measurement of distance in degrees east or west of the Prime Meridian. The Prime Meridian divides the earth in half and passes through Greenwich, England at 0°. All lines of longitude pass through the North and South Poles. They run vertically. There are 180° of longitude on each side of the Prime Meridian.

On the opposite side to the Prime Meridian is the International Date Line.

Longitudinal lines to the left of the Prime Meridian give locations in the western hemisphere. Longitudinal lines to the right of the Prime Meridian give locations in the eastern hemisphere.

Use_your_own_words_to_describe_longitude_and_latitude_to_someone:

_______________________________________________________________________________________

_______________________________________________________________________________________

_______________________________________________________________________________________

Time applications – world time zones

1

2 You_will_need_an_atlas_for_this_question._Find_out_the_latitude_and_longitude_of_the_following_capital_cities._Name_their_countries:

a Madrid is the capital of . The latitude and longitude are .

b Bangkok is the capital of . The latitude and longitude are .

c Helsinki is the capital of . The latitude and longitude are .

SERIES TOPIC


Time 3

What_time_will_it_be_at_Greenwich_when_the_time_is:

a 6 pm in Shanghai? __________________ b 10 am in Sydney? ____________________

c 2 pm in Buenos Aires? __________________ d 5 am in Los Angeles? ____________________

Look_at_the_lines_of_longitude_that_these_cities_of_the_world_are_closest_to._Calculate_these_time_differences.

a Los Angeles is __________ hours ahead / behind Sydney.

b Shanghai is __________ hours ahead / behind Cape Town.

c Buenos Aires is __________ hours ahead / behind Greenwich in London.

0º 150º 120º 120º90º 90º60º 60º30º 30º 150º0º

165º 165º135º 135º105º 105º75º 75º45º 45º15º 15º

0º

Cape Town

Los Angeles

Midnight 6 am Noon 6 pm Midnight

Shanghai

Greenwich

SydneyBuenos Aires

West EastEarlier Later

Time applications – world time zones

3

5

4

Work_out_the_missing_times_in_these_flight_schedules:

a_ bFlights_from_Sydney_to_Cape_Town_14_hours_flying_time

Depart local time Arrive local time

1 pm

Flights_from_Los_Angeles_to_London_11_hours_flying_time

Depart local time Arrive local time

6 am

Going_west_time_is__earlier_than_GMT_and__east_is_later_than_GMT.

This shows the lines of longitude on a flat map of the world. Each line represents 15° and equals 1 hour.All times west of Greenwich are behind Greenwich Mean Time (GMT) and all times east of Greenwich are ahead of GMT. Greenwich is a place in London.

SERIES TOPIC


Time3

0º15

0º12

0º12

0º90

º90

º60

º60

º30

º30

º15

0º0º

165º

165º

135º

135º

105º

105º

75º

75º

45º

45º

15º

15º

0º

Cap

e To

wn

Los

Ang

eles

Mid

nigh

t6

amN

oon

6 pm

Mid

nigh

t

Shan

ghai

Gre

enw

ich

Sydn

eyB

ueno

s A

ires

Wes

tEa

stEarlier

Later

SERIES TOPIC


Time 3

For this game, you will need the enlarged map on the previous page (page 24) and 2 dice. You are a contestant on the reality show, “Don’t Forget to Call Home!” As well as the usual race around the world stunts, you have to call London every day between set hours.

The point scoring system is below. It pays to get the timing right as the winning contestant scores $1 000 000 in prize money!

Time_in_London Points

0900 – 1700 10 points

1800 – 0800 –10 points

“Don’t forget to call home!” apply

Number_on_Die Place

or Los Angeles

or Shanghai

or Sydney

Number_on_Die Time

1000

1400

1700

1200

2100

2300

What_to_do

Getting_ready

Look_back_to_your_world_time_zone_map_to_work_out_time_differences._Remember_Greenwich_is_in_London.

1 Roll 2 dice to get the time and place from which you call. For example, if you roll 1 or 2 for the place and a 3 for the time, you are calling from Los Angeles at 1700.

2 Work out what time it is in London. Using the same example, the time in London would be 8 hours later which makes it 0100. So you would score –10 points because the early hours of the morning is a bad time to call!

3 Keep track of your calls below. The person who gets the most points by the end of the table, wins!

Time_and_Place Points Running_Tally

SERIES TOPIC


Time3

Timelines apply

Time of your life create

Draw a line from each invention to its corresponding place on the timeline.

Create a timeline of your life. You may show your whole life or an exciting segment. Make some rough plans below and then decide how you will present the timeline.

Think about what scale you will use and how large you want your final product to be.

Have a whole class presentation afternoon where you can wander around the room and learn about each other. You could organise a quiz and have a prize for the person who remembers the most about you.

1000 BC 500 BC Birth of Christ AD 500 AD 1000 AD 1500 AD 2000

a How many years are there between the invention of the pocket watch and the year it is now? _________________

b How many years are there between the invention of the button and the Birth of Christ? _________________

c How many years are there between the invention of the ice cream maker and the invention of chopsticks? _________________

600 BC chopsticks 1842 ice cream maker

1524 pocket watch1963 computer mouse

700 BC button

589 BC toilet paper

What_to_do

What_to_do_next

Getting_ready

Student BookSERIES

GN

ame

____

____

____

____

____

____

____

____

____

_

Reading and UnderstandingWhole Numbers

Copyright ©

Series Authors:

Rachel Flenley

Nicola Herringer

Series G – Reading and Understanding Whole Numbers

Contents

Topic 1 – Read and understand numbers (pp. 1–8)• place value to millions __________________________________

• expandednotation ____________________________________

• order large numbers ___________________________________

• the millionaires’ club – solve _____________________________

• zero the hero – apply ___________________________________

Topic 2 – Types of numbers (pp. 9–18)• negativenumbers _____________________________________

• prime and composite numbers ___________________________

• mixedpractice ________________________________________

• Roman numerals ______________________________________

• we need a new system – create __________________________

• Goldbach’s conjecture – investigate _______________________

Topic 3 – Roundandestimate (pp. 19–24)• round to the nearest power of ten ________________________

• roundandestimate ____________________________________

• butler,fillmybath!–solve ______________________________

• roundandestimatewordproblems–solve _________________

Date completed

/ /

/ /

/ /

/ /

/ /

/ /

/ /

/ /

/ /

/ /

/ /

/ /

/ /

/ /

/ /

SERIES TOPIC

1G 1Copyright © 3P Learning Pty Ltd

Reading and Understanding Whole Numbers

Write the next 3 numbers in each sequence:

a + 10 000

b + 1 000 000

c – 1 000

d – 100

Circle the larger number:

Fill in the place value chart for each number. The first one has been done for you.

MillionsHundred

thousandsTen

thousands Thousands Hundreds Tens Units

816 958 8 1 6 9 5 8

1 254 958

91 806

3 048 787

958 656

1 362 055

The place of a digit in a number tells us its value.

6 216 085

Read and understand numbers – place value to millions

6 is worth2 is worth1 is worth6 is worth0 is worth8 is worth5 is worth

6 000 000 or 6 millions200 000 or 2 hundred thousands10 000 or 1 ten thousand6 000 or 6 thousands0 or 0 hundreds80 or 8 tens5 or 5 units

1

2

3

33 591

2 459 012

708 518

4 000 524

a

c

e

b

d

f2 512 444 2 512 333/

4 353 537 4 453 540/

8 519 476 8 591 476/

2 432 498 2 433 498/

3 525 461 3 525 614/

7 240 547 7 241 253/

SERIES TOPIC

G 12Copyright © 3P Learning Pty Ltd


Express the numbers below using powers:

a 1 000 = b 10 =

c 10 000 = d 100 000 =

e 100 = f 10 000 000 =

g 1 000 000 = h 100 000 000 =

Whenweworkwithlargenumbers,therearelotsofzerostodealwith.Sometimesitiseasiertoexpress the number using exponents or powers.Powerstellushowmanytimestouseanumberinamultiplicationprocess.

102 = 10 × 10 = 100 103 = 10 × 10 × 10 = 1 000 104 = 10 × 10 × 10 × 10 = 10 000

Canyouseeaconnectionbeweenthepowerandtheamountofzerosinthenumber?

102power

base

4

5 Compare these numbers. Use or = as needed:

a 1 000 102

c 10 000 104

e 105 1 000 000

b 100 102

d 100 000 103

f 106 1 000 000

6 Complete the cross number puzzle:

1 2 3

4 5

6

Across1. one million thirty seven thousand eight hundred

and fourteen4. threemillionandfortyninethousandfive

hundred and six6. 106

Down1. one hundred and thirty three thousand eight

hundred and fourteen2. three hundred and eighty four thousand3. 105

5. nine thousand six hundred and two

Read and understand numbers – place value to millions

SERIES TOPIC



Whenwewritenumbersusingexpandednotation,weidentifyandnamethevalueofeachdigit.

3 154 231 = 3 000 000 + 100 000 + 50 000 + 4 000 + 200 + 30 + 1

Read and understand numbers – expanded notation

Convert the numbers into expanded notation:

a 4 246 936

b 88 421

c 2 856 913

d 714 533

e 7 240 547

f 4 215 632

g 770 421

h 467 809

1

Write the number from the expanded notation. Remember to group the digits in 3s.2

a

b

c

d

e

f

g

500 000 + 20 000 + 3 000 + 700 + 40 + 1 ________________

80 000 + 5 000 + 200 + 70 + 3 ________________

400 000 + 5 000 + 200 + 50 + 2 ________________

900 000 + 40 000 + 1 000 + 80 + 5 ________________

20 000 + 7 000 + 300 + 8 ________________

300 000 + 2 000 + 500 + 80 + 4 ________________

800 000 + 50 000 + 6 000 + 200 + 30 + 8 ________________

4 000 000 + 200 000 + 40 000 + 6 000 + 900 + 30 + 6

SERIES TOPIC



Howdowewrite5325inexpandednotationusingpowers?

(5 × 103) + (3 × 102) + (2 × 101) + 5

3

Match the numerals with their expanded notation form. Colour the boxes that match.

23 587 111 78 361

23 711

4 509 094

70 000 000 + 8 000 000 + 900 000 + 30 000 + 4 000 + 200 + 10

20 000 + 3 000 + 700 + 10 + 1

20 000 000 + 6 000 000 + 500 000 + 20 000 + 6 000 + 900

26 526 900

78 934 210

20 000 000 + 3 000 000 + 500 000 + 80 000 + 7 000 + 100 + 10 + 1

70 000 + 8 000 + 300 + 60 + 14 000 000 + 500 000 + 9 000 + 90 + 4

32 590

(3 × 104) + (2 × 103) + (5 × 102) + (9 × 101)

4

Read and understand numbers – expanded notation

Write the numeral for:

a (6 × 103) + (3 × 102) + (2 × 101) + 5 =

b (4 × 103) + (2 × 102) + (9 × 101) + 8 =

c (8 × 104) + (4 × 103) + (5 × 102) + 3 =

d (2 × 105) + (7 × 104) + (9 × 103) + (9 × 102) + (9 × 101) =

e (9 × 104) + (3 × 103) + (2 × 102) + 1 =

SERIES TOPIC



Put the following numbers in order from smallest to largest:

1 548 654

550 654

1 547 521

1 485 554

1 547 656

1 256 441

995 841

Read and understand numbers – order large numbers

When ordering numbers it is important to look closely at the place of the digits.

Read the following instructions and complete the table:

Youareinchargeofcompilingtheratingsforthetop10televisionprogramsfortheweek.Youhaveorderedthem according to your personal preference but your editor is not amused.

She wants you to reorder them from most popular to least popular according to the number of viewers. This now seems like a good idea as you like your job and want to keep it.

Usethefinalcolumntorecordthecorrectorderofpopularity.

1

2

smallest

largest

Your order Program Viewers Revised order

1 Guess that Tune 840 000

2 Romsey’s Kitchen Nightmares 1 330 000

3 Friends and Neighbours 1 432 000

4 Big Sister 1 560 000

5 Gladiator Fighters 1 290 000

6 Sea Patrol 7 1 390 000

7 Crime Scene Clues 1 388 000

8 Crazy Housewives 1 300 000

9 Tomorrow Tonight 740 000

10 BetterHomesandBackyards 1 360 000

SERIES TOPIC



3 Play this game with 3 friends. The aim is to make the biggest number you can. You’ll each need to make a copy of this page and cut out your set of digit cards below. Put each player’s cards together and shuffle. You only need one copy of the 5 points card for the whole group.

Instructions

1 Makesureyouhaveshuffledthecardswellbeforeyoudealout7cardstoeachplayer.

2 Turn the remaining cards face down in 1 pile.

3 Playrockpaperscissorstoseewhowillgofirst.Whenitistheirturn,playersmayswaponeoftheircardsforthetopcard.It’saluckydipthough;thecardmayhelporhinder!

4 Player 1 makes the biggest number they can using all their cards. They take the 5 point card as their number is the only one out there.

5 Player 2 then tries to make a larger number. If they can do so, then the 5 point card goes to them.

6 Player 3 and 4 follow the same steps.

7 Theplayerwiththelargestnumberattheendofthegamegetsthe5points.Keepscoreaftereachround.

8 Playagain.Ortryadifferentvariationsuchasthesmallestnumber,thelargestevennumberorthesmallest odd number.

5 points

Read and understand numbers – order large numbers

copy

0

5

1

6

2

7

3

8

4

9

SERIES TOPIC



What to do next 1 Within the club there are a few cliques or divisions. Members of the same cliques

havethesamelettereitherA,BorC.Youthinkthatisodd. Can you work out whygroupshavebeenformed?Writethegroupsoutagainandlookcarefullyatthe numbers. Each group may evenhavemorethanoneconditionofentry.Howmanycanyoufind?

2 Stuck?Thereareacoupleoftheruleshiddeninthispage.Lookcarefullyatthetextagain.Somewordsmaybewrittenalittledifferently.

3 Whichgroup(s)canyouandyourfriendjoinaccordingtotherulesyoufind?

1 WriteyournamesandyourrespectivewealthontheClubMembershipBoard.The rule is you must have less than 1 billion or you would be in the billionaires’ club.

2 Reorder the board so the richest member of the club is at the top and the poorest(relativelyspeaking)isatthebottom.Don’tforgettoincludeyourselfandyour friend.

Group Name Wealth Richest to poorest

A John McSnooty $1 560 016

A Maxy Million $3 457 342

A Count More $32 760 212

B Ms Heiress (and dog) $25 820 433

B LadyPennypincher $10 720 899

B Money Hungry $28 073 061

C Mrs Bigpurse $2 100 565

C Mr Rich-as $25 641 265

C LordLoot $12 740 090

What to do

Getting ready

The Millionaires’ Club solve

Congratulations!Youandafriendhavejustinheritedalotof money and can join the Millionaires’ Club. Your task is to order the members in the club, and then work out why there seem to be some cliques within the group.

SERIES TOPIC



1 Enter a 6 digit number into a calculator. Make sure it contains 1 zero.

2 Pass the calculator to your partner. Their job is to remove the zero fromthecalculatorusingoneadditionorsubtractionproblem.

3 If they can read the number correctly and explain how they did it in 1 step they score 10 points.

4 Swaproles.Thefirstpersontoscore50pointswinsthegame.

What to do next

What to do

Getting ready

Zero the Hero apply

Inthisactivity,youaregoingtomakedifferentnumbersbyperformingoperations(notthemedicalkind)toremovezerosfrom a number. You will work with a partner. You’ll need a calculator to share.

Canyouinventasimilargameusingacalculator?Doesitneedtobeharderoreasierforyoutoenjoyplayingit?Howcouldyouchangeit?Whatwillyouaskyourpartnerdowiththenumbers?Tryitoutandrefineituntilitworkswell.

Writedownyourinstructionssothatanotherteamcanplayyourgame.Swapyourinstructionswithanotherteamandplayeachother’sgame.

Enter the number 46 783 into your calculator. I want to see a zero in the hundreds place. Can’t do it? Drop down and give me 20 push-ups.

Having problems reading the numbers? You could put the numbers under headings to help you identify the value of the zero.

HT TT Th H T U

SERIES TOPIC

9GCopyright © 3P Learning Pty Ltd

Reading and Understanding Whole Numbers 2

Sarah had $10 in her bank account. What would the balance be if she:

a b c d e f g

home - adamstown public school - choice board...least 5 random acts of kindness. write about each...

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