Senior VCAL Numeracy – Design Investigation 2

HOUSE AND LAND

PACKAGES

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Senior VCAL Numeracy – Design Investigation 2

3 DIMENSIONAL DRAWINGS

1. Redraw the following objects on the isometric dot grid.

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Senior VCAL Numeracy – Design Investigation 2

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Senior VCAL Numeracy – Design Investigation 2

2. Draw the front, side and top views of the following objects. An example is given.

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Senior VCAL Numeracy – Design Investigation 2

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Senior VCAL Numeracy – Design Investigation 2

3. The front, side and top views of several objects are shown below. Draw these objects on the isometric dot grid.

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Senior VCAL Numeracy – Design Investigation 2

SYMMETRY IN HOUSE PLANS

4. On the next page is the plan of the ground floor of 4 symmetrical town

houses.

a. By measurement and using the scale, calculate:

i. width, w, of unit 1

ii. value of l

iii. value of c

iv. value of d

b. WC is written in one of the rooms in each unit. What does WC

indicate?

c. Why do you think there are no bedrooms shown on these plans?

d. Units 1 and 2 are symmetrical with units 4 and 3. Complete the

floor plans of units 4 and 3.

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Senior VCAL Numeracy – Design Investigation 2

5. These two Town Houses are symmetrical.

a. Mark the two axes of symmetry on the diagram.

b. Complete the plans of the unfinished Town House.

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Senior VCAL Numeracy – Design Investigation 2

ELEVATIONS IN HOUSE PLANS

Elevations are the side views of a structure.

They are used to help interpret a plan.

6. This plan, sketch and 4 elevations are for a work shed.

a. Complete the southern section of the plan.

b. Construct the eastern and western elevations in the two blank

rectangles.

7. These diagrams show a plan, sketch and elevations for a garage. Use the

plan and sketch to complete the 4 elevations.

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Senior VCAL Numeracy – Design Investigation 2

PAVING PATTERNS

8. Create the paving patterns on the isometric dot paper.

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Senior VCAL Numeracy – Design Investigation 2

9. Each of the following shapes can be used in paving patterns. Copy and

complete the grids to show how they fit together.

(i)

(ii)

(iii)

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A

B

C

D

E

Senior VCAL Numeracy – Design Investigation 2

10.Houses come in many shapes and sizes and some owners and builders are

very creative. An example is shown below.

a. List and illustrate at least five different shapes on the floor plans.

b. Calculate the angles marked A to E.

c. State the type of angle for A to E.

d. What are supplementary angles?

e. Place the letters F and G where there are two supplementary

angles.

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Senior VCAL Numeracy – Design Investigation 2

YOUR HOUSE

The plan below is of the house that will be built on your new block of land.

11.Using the information below, create a scale drawing of your house.

Measurements of each room are in metres

Wall widths will not be part of calculations. Wall height is 2.4m

Scale is 1 : 50

Full-length windows are 2.1 m high and half-length windows are 1.5m

high

Doors are 0.8 metres wide and 2 metres high

All hallways are 1 metre wide

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Senior VCAL Numeracy – Design Investigation 2

12.Complete the side elevations for your house.

13.Calculate the following:

a. Perimeter of the house in metres.

b. Area of the house in square metres.

c. Area of the hallways.

14.The house is going to have both carpet and tiles. The areas to be tiled

include the bathroom, toilet, laundry, ensuite, kitchen and hallways. The

remainder of the house will be carpeted.

a. Calculate the tiled area in square metres.

b. Calculate the carpeted area in square metres.

c. How many tiles will you need if they are 200mm × 200mm?

d. How much will the tiles cost if they are $2.50 per tile?

e. How much will the carpet cost if it is $55.54 per square metre?

15.You have some bricks left over from the house and decide you will include

a BBQ and an area to hide the rubbish and recycle bins. The bricks

measure 230mm by 76mm by 110mm but remember 10mm of mortar is

placed between each brick on the top and bottom as well as the sides.

a. Fill in the new length, width and height for the brick including the

mortar.

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Senior VCAL Numeracy – Design Investigation 2

b. Below is the plan for BBQ. The open area on the left-hand side will

have a gas BBQ fitted to it and the enclosed section on the right-hand

side will have a top fitted so it can be used as a table.

The BBQ will be nine layers high with a stretcher bond pattern.

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Senior VCAL Numeracy – Design Investigation 2

i How many bricks will be used per layer?

ii How many bricks in total will be used?

c. Your enclosure for the bins must have a minimum inside width of 150

cm, minimum depth of 80cm and minimum height of 110cm.

i. How many layers will your structure be?

ii. How many bricks will you need?

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Senior VCAL Numeracy – Design Investigation 2

iii. What is the volume of the enclosure?

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Senior VCAL Numeracy – Design Investigation 2

16.Complete a scale diagram of your house on your block of land.

Block of land is 20 metres × 40 metres

Your back yard is larger than your front yard.

You have both lawn, garden area and paving in the front and back

yard.

A concrete driveway runs to the garage.

You will also have a BBQ, bin enclosure, water tank (2.1 metres

high with diameter 2 metres) and rectangular pool.

An example is included below.

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2.4m

9m

4m

1m

Senior VCAL Numeracy – Design Investigation 2

17.As our climate is changing, we have less water available to use. You have

decided to purchase a water tank to catch rainwater off the roof of your

house and garage.

a. Draw a sketch of your water tank.

b. Calculate the volume of the tank in litres. (Remember: 1 litre =

1000cm3)

18.The pool that you are installing in your back yard is shaped as follows:

a. It is important to know how many litres of water your pool can

hold for filling and chemicals. Calculate the volume of your pool in

litres.

b. Using the volume of water held in the tank you have in your

garden, how many tanks full of water would be required to fill your

pool?

CONSTRUCTION

Choose the most appropriate materials (such as icy

pole sticks, cardboard, paper, etc) to build a scale

model of your house including the front and back

yards. You will need to decide on a suitable scale

to build the house to show enough detail and still

be practical and inexpensive to build.

CONCLUSION

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Senior VCAL Numeracy – Design Investigation 2

o What did you learn in this investigation? Be specific.

o Do you think your house construction is realistic? Explain why / why not.

o Discuss any difficulties you encountered and how you overcame them.

o Any improvements.

EXTENSION

Semaphore Flags

a. What are Semaphore Flags? Explain.

b. Include a diagram to illustrate the flags.

c. Make a set of Semaphore Flags. Compose an appropriate message.

Practice it and then film the message.

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