Today your maths lesson will be completed online. There are three different scenarios with problems and questions that need answering. Write down your answers for each question on a piece of paper and then complete the quiz towards the end of the lesson. You may either complete the tasks on your own or with a partner. Good luck!

Go to scenario 1 – Melbourne Zoo

Go to scenario 2 – School garden

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Go to scenario 3 – Art theft

Dear students,

The Melbourne Zoo would like to request your help. The state government has offered the Zoo a $10 million ($10,000,000) grant to extend ourElephant enclosure to make room for our new baby Elephant – Mali. Underno circumstances can we spend more than $10 million. An architect has designed three different enclosure spaces for us to choose from. And the builders have told us that it costs $15,000 per square metre to clear, build, and landscape a new enclosure. Using your knowledge of area, measurement, and money calculations – look at the three different designs to work out their area and subsequent building costs to then help us to choose the largest design that can be built for under $10 million. Your help is greatly appreciated!

Regards

Melbourne Zoo

First design

Second design

Third designReturn to Home page

Scenario 1 – Melbourne Zoo

10m

9m

29m

4m

49m

Elephant enclosure design one

* Note – Lengths are not to scale

Next designBack to home page

Question 1) What is the total area of enclosure one in square metres?Question 2) How much would it cost to build enclosure one?

Start of scenario 1

Elephant enclosure design two

15m

20m

13m

7m

8m

9m

* Note – Lengths are not to scale

10m

Next designBack to home page

Question 3) What is the total area of enclosure two in square metres?Question 4) How much would it cost to build enclosure two?

Start of scenario 1

Elephant enclosure design three

31m

8m

16m

17m

12m

32m

9m

* Note – Lengths are not to scale

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Go to scenario 2 – School garden

Go to scenario 3 – Art theft

Question 5) What is the total area of enclosure three in square metres?Question 6) What would it cost to build enclosure three?Question 7) Which enclosure design is the largest that can be built within the budget of $10,000,000?

Start of scenario 1

Scenario two – School garden

Our school is having a working bee this weekend to build three raised garden beds to be used for our new kitchen garden program. We would like you to work out the quantity of materials we will need to order and how much it will cost. The three different materials we need are timber sleepers, garden soil, and mulch.Each garden bed will have the internal dimensions of 2m wide, 4.6m long, and 0.9m high.

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Go to scenario 1

Go to scenario 3

Timber sleeper ordering and costs questions

Garden soil ordering and costs questions

Mulch ordering and costs questions

0.9m high

2m wide

4.6m long

Garden bed dimensions

Timber sleeper ordering and costs:

The three raised garden beds are being built with timber sleepers. The timber sleepers come in 4.8m lengths but can be cut to smaller sizes if needed. You cannot however have any joints of different pieces of timber other than on the corners of the garden beds. The garden supply costs for each Timber sleeper including delivery is: $35 eachTimber sleeper measurements (4.8m long and 0.3m high)

Garden soil ordering and costs questions

Mulch ordering and costs questions

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Start of scenario 2

Question 8) How many 4.8m timber sleepers will need to be ordered to make the three garden beds (the order must be a whole number)?Question 9) How much will it cost for the order of timber sleepers?

0.9m high

2m wide

4.6m long

Garden bed dimensions

Garden soil ordering and costs

Start of scenario 2

The completed garden beds will need to be filled with soil. Garden soil is available in 0.25 cubic metre intervals and costs - $45 per cubic metre (including delivery)

Question 10) How many cubic metres of soil will need to be ordered to fill the three garden beds (round up to the nearest 0.25 cubic metre interval if needed)? Question 11) How much will it cost for the total amount of soil that is needed?

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Mulch ordering and costs questions

Timber sleeper ordering and costs questions

Garden bed dimensions

4.6m long

2m wide

0.9m high

Garden mulch ordering and costs

Start of scenario 2

To finish the garden beds off and to protect them from drying out, a layer of 5cm (0.05m) thick Mulch is being applied to the top of the garden beds. The mulch is also available in 0.25 cubic metre intervals and costs - $50 per cubic metre (including delivery).

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Go to scenario 3

Timber sleeper ordering and costs questions

Garden soil ordering and costs questions

Question 12) How many cubic metres of mulch will need to be ordered to have a 5cm cover on each garden bed (round up to the nearest 0.25 cubic metre interval if needed)?Question 13) How much will it cost for the amount of mulch needed? Question 14) How much will the combined garden supplies cost?

Garden bed dimensions

4.6m long

2m wide

0.9m high

SCENARIO 3 – ART THEFT

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Go to scenario 1 Go to scenario 2 – School garden

The National Gallery of Victoria has just discovered that a valuable piece of Art is missing from their storeroom. Fortunately the Art piecehas a satellite tracking device on the inside of the frame. Data from the tracking device tells us that the artwork started moving from the storeroom exactly 5 hours ago. It also shows that it has travelled 400km in that time without stopping. The National Gallery needs your help to catch the thief and return the valuable artwork.

Question 15) What is the average speed that the artwork is travelling at? Question 16) What type of transport is the artwork most likely travelling in (car, plane, boat, or bicycle)?

Art theft update 1

Art theft update 2 Art theft update 3

Start of scenario 3

SCENARIO 3: ART THEFT UPDATE 1

Security guards have just checked the video footage from the gallery and have discovered a Black 1998 Holden Commodore was seen speeding from the Gallery at the same time that the Artwork went missing. Police tell us that the maximum distance this make of car can travel before needing to re-fuel is 620km.

Question 17) What is the maximum amount of distance the car can still travel for before needing to stop for fuel?Question 18) How long would it take for the car to travel that maximum distance if it maintains its average speed?

Art theft update 2

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Art theft update 3

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SCENARIO 3: ART THEFT UPDATE 2

Back to update 1

Using the tracking device, we know that there are just six towns within 350km of the current position of the artwork – Aleana 82km, Baranga 115km, Coolara 180km, Sanreema 211km, Orest 278km, and Winella 316km. Police are preparing to position themselves in the appropriate town/s in-case the offenders try to stop for petrol.

Question 19) Which town/s should the police position themselves in (Aleana, Baranga, Coolara, Sanreema, Orest, Winella)?

Start of scenario 3

Go to Art update 3

SCENARIO 3: ART THEFT UPDATE 3

The police have now caught the offenders and are now getting ready to drive the Artwork back to the gallery.

Question 20) How much will it cost them in petrol money if they drive straight back from the town of Sanreema? We know that it costs on average 10 cents per kilometre of travel.

*** Once you have answers for all of the 20 questions from the three different scenarios, close the PowerPoint and return to the wiki and complete the online quiz.

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Back to update 1

Back to update 2

Start of scenario 3

Go to scenario 2 – School garden

Go to scenario 1 – Melbourne Zoo