TOPIC
Area
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Strand: Measures
Area
Discover the area of a rectangle is length by breadth.
Estimate and measure the area of regular and irregular 2D shapes.
Calculate area using square centimetres and square metres.
Compare visually square centimetres and square centimetres.
1. Estimating, comparing and measuring the area of regular and irregular
shapes using cm² and m².
1. Applying and problem-solving: Selecting appropriate processes for calculating area, applying
the concept of area and the process of calculating area in a variety of contexts.
2. Communicating and expressing: Discussing and explaining the processes used and the results
of mathematical problems involving area, listening to and discussing other children’s approaches
to solving problems involving area.
3. Integrating and connecting: Connecting informally acquired ideas and processes involving area
with formal mathematical ideas and processes on area, representing mathematical ideas and
processes diagrammatically, recognising mathematics in the environment.
4. Reasoning: Making hypotheses involving area and carrying out mathematical investigations to
test them.
5. Implementing: Executing standard procedures for measuring area.
6. Understanding and recalling: Understanding and recalling the definition for area.
Rulers, selection of spaces and objects from which area can be measured, squared paper, trundle
wheels, metre sticks
Area, space, square units, squared metres, squared centimetres, m², cm², flat, surface,
length, width, regular, irregular, perimeter
1. Students are often confused about the concept of area and they frequently
confuse it with the concept of perimeter. Exercise B on page 128 of the textbook
is designed to diagnose any misconceptions about area.
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2. Students should be given the opportunity to visually compare square centimetres and square
metres. A hands-on activity, such as constructing a square of area 1m², is recommended.
3. Students should arrive at an understanding of the formula for calculating area through guided
discovery. The example on page 130 is designed to assist this process.
Fans:
Show the area of a cube where each face is 2cm, 4cm, 6cm, etc.
Show the area of a rectangle 2cm by 6cm.
1. Construct a square of area 1m². Investigate how many square centimetres are contained in the
square.
2. Calculate the amount of cellophane or paper that would be required to cover a maths copy and
the Planet Maths textbook.
3. Investigate the area of each county in Ireland and put in order starting with the county which
has the largest area.
4. Investigate the area of a car parking space in the nearest car park (this may be the school’s staff
car park). Compare with the area of a car parking space elsewhere. Do they have the same area?
Design a car park to accommodate 20 cars. There must be a separate entrance and exit.
Each square represents 1 square centimetre:
1. Draw a square of perimeter 8cm. What is the area of the square?
2. Draw a rectangle of perimeter 12cm. What is the area of the rectangle?
3. Draw a square of area 4cm². What is the length of its perimeter?
4. Draw a rectangle of area 10cm². What is the length of its perimeter?
Lower attainers:
Extra practice calculating area and perimeter of rectangles and squares.
Higher attainers:
1. Word problems involving area and perimeter.
2. ‘Challenge Yourself’ activity on page 131 and Activity B
on page 131 will require whole-class discussion.
Topic
Topic
20
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1. For each of the following would you use squared centimetres/squared metres to find the area?
(a) Kitchen floor
(b) Table top
1. Fill in the missing information in the table
(c) Book cover
Length
8m
(a)
(e) Basketball court
(f) White board
Area
(d)
12m
(e)
20m
Perimeter
5m
18m2
10m
(c)
(d) House
Width
6m
(b)
120m2
38m
60m
(f)
36m2
24m
(g)
56m2
30m
16m
(h)
60m
2. Find the area and perimeter of the following shapes.
(a)
2. Find the area of the following shapes.
(b)
(a)
(b)
4m
10 12 m
= 1 squared metre
12m
(c)
6m
6m
2m
10m
5m
(c)
2m
3. Solve the following.
5m
(a) Find the area of a rectangular field of length 20m and width 10 14 metres.
(b) What is the cost of planting a square garden of sides 11 metres with flowers at a cost of €14.90
per squared metre?
3. Find the area and perimeter of each of these square shaped gardens. Give all answers in metres.
(a) L = 3m
(b) L = 5m
(c) L = 8m
(d) L = 12m
(e) L = 15.5m
(f) L = 20 12 m
(g) L = 90cm
(h) L = 110cm
(c) Paul is decorating his sitting room.
What is the cost of wallpapering the
wall if the paper costs €22.50 per metre?
to tile the floor at a cost of €43 per squared metre?
W = 4m
W = 9m
W = 6m
Name: _______________________________________
Date: ___________________
(i) What is the length of the side of the tile?
(ii) How many tiles would be needed for a floor area of 8 metres squared?
Name: _______________________________________
Date: ___________________
© Folens Photocopiables
W = 2m
(c) L = 12m
© Folens Photocopiables
(a) L = 6m
(d) L = 14 12 m
8m
(e) A square tile has an area of 0.16m2.
4. Find the area and perimeter of each of these rectangular gardens. Give all answers in metres.
(b) L = 8m
5m
(d) What is the area of a kitchen floor if it costs €387
2D Shapes: Describing and classifying 2D shapes
3D Shapes: Comparing the faces of 2D shapes
Visual arts: Exploring architecture, house design
SESE Geography: Describing aerial and satellite photographs; describing land use and topography
Encourage children to investigate area in the home environment, e.g. finding the area of a
garden/garden shed/vegetable patch; finding the area of a kitchen or bedroom, estimating and
investigating the area of the home; calculating the quantity of carpet/timber/tiles required to
cover an area in the home and calculating the cost using different materials.
Notes
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