In this activity you will work out actual measurements ...
[Pages:8]Plans
In this activity you will work out actual measurements from plans.
Information sheet
Plans are used by people who work in construction or interior design. They use them to show the customer what has been designed for them. Measurements from plans are used when ordering materials and estimating costs.
Think about...
How you can work out the actual size from a measurement on a scale diagram.
Conversions 1 cm = 10 mm 100 cm = 1 m 1000 mm = 1 m 10 cm = 0.1 m
Ratio scales
If the scale of the plan is 1 : 100, this means the real measurements are 100 times longer than they are on the plan. So 1 cm on the plan represents a real length of 100 cm (1 metre)
Try these ...
You teacher will give you some plans to work on. Measure the lengths and complete each table.
At the end of the activity
Describe how you use a scale like 1 : 50 to work out an actual measurement.
Nuffield Free-Standing Mathematics Activity `Plans' Student sheets ? Nuffield Foundation 2011 downloaded from
Copiable page 1 of 8
Flat
The diagram below is the plan of a flat.
Kitchen
Bathroom
Living room
Study
Bedroom
Scale: 1 cm to 1 m
Measure the length and width of each room on the plan in centimetres. Put your answers in these columns in the table.
Room Living room Kitchen Bedroom Bathroom Study
Length on plan
Width on plan
Actual length
Actual width
Write the actual dimensions in the last two columns.
Nuffield Free-Standing Mathematics Activity `Plans' Student sheets ? Nuffield Foundation 2011 downloaded from
Copiable page 2 of 8
Garden
The plan of a garden is shown here.
Shed
Veshgeeltvaebsle plot
Greenhouse
Measure the dimensions listed in the table in centimetres to 1 decimal place.
Work out the actual dimensions. Put your answers in the table below.
Dimensions Garden ? length Garden ? width Vegetable plot ? length Vegetable plot ? width Shed ? length Shed ? width Greenhouse ? length Greenhouse ? width Patio ? length Patio ? width Flowerbed ? diameter Pond ? diameter
On plan
Flower bed
Pond
Actual
PatiSocale: 1 cm to 2 m Scale: 1 cm to 2 m
Nuffield Free-Standing Mathematics Activity `Plans' Student sheets ? Nuffield Foundation 2011 downloaded from
Copiable page 3 of 8
Park
The diagram shows the plan of a park. Complete the table below it. Measure lengths in centimetres to 1 decimal place.
Grass
Swings and roundabouts
Scale: 1 cm represents 5 m
Path
Toilets Shop
Caf?
Tennis court
Dimensions of areas of the park Grass ? length Grass ? width Swings and roundabouts ? length Swings and roundabouts ? width Caf? ? length Caf? ? width Toilets ? length Toilets ? width Tennis court ? length Tennis court ? width Shop ? length Shop ? width
On plan
Actual
Nuffield Free-Standing Mathematics Activity `Plans' Student sheets ? Nuffield Foundation 2011 downloaded from
Copiable page 4 of 8
Youth club
The diagram shows the plan of a youth club. Complete the table by finding the dimensions listed.
Main room
Games room
Corridor
Store cupboard
Cloakroom
Scale: 1 : 100
Dimension Main room ? length Main room ? width Games room ? length Games room ? width Store cupboard ? length Store cupboard ? width Cloakroom ? length Cloakroom ? width Corridor ? length Corridor ? width Youth club ? length Youth club ? width
On plan
Actual
Nuffield Free-Standing Mathematics Activity `Plans' Student sheets ? Nuffield Foundation 2011 downloaded from
Copiable page 5 of 8
Common room
The diagram shows the plan of a student common room. Complete the table by finding the dimensions listed.
window Scale: 1 : 50
computer area
Dimension Common room ? length Common room ? width Coffee making area ? length Coffee making area ? width Work tables ? length Work tables ? width Computer area ? length Computer area ? width Shelves ? length Shelves ? width TV stand ? length TV stand ? width Coffee table ? length Coffee table ? width Sofa ? length Sofa ? width
On plan
Actual
Nuffield Free-Standing Mathematics Activity `Plans' Student sheets ? Nuffield Foundation 2011 downloaded from
work tables shelves
coffee making area
sofa
coffee table
Door
TV stand
Copiable page 6 of 8
Bedroom
wardrobe
shelves computer workstation
window
door
Scale 1 : 20 bed
drawers table
Find the actual dimensions of the items listed in the table below.
Dimension Bedroom ? length Bedroom ? width Bed ? length Bed ? width Wardrobe ? length Wardrobe ? width Drawers ? length Drawers ? width
On plan
Actual
Dimension Table ? length
On plan
Table ? width
Shelves ? length
Shelves ? width
Window ? width
Door ? width
Workstation ? length
Workstation ? width
Actual
Nuffield Free-Standing Mathematics Activity `Plans' Student sheets ? Nuffield Foundation 2011 downloaded from
Copiable page 7 of 8
Kitchen
window sink
door boiler
cooker
Scale 1 : 25
table
fridge door
Find the actual dimensions of the items listed in the table below.
Dimension Kitchen ? length
Kitchen ? width
On plan Actual
Dimension Cooker ? width
Boiler ? length
Table ? length Table ? width
Boiler ? width Fridge ? length
Sink ? length Sink ? width
Fridge ? width Window ? width
Cooker ? length
Doors ? width
On plan Actual
Nuffield Free-Standing Mathematics Activity `Plans' Student sheets ? Nuffield Foundation 2011 downloaded from
Copiable page 8 of 8
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