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Using units of measurement: ACMMG290 Compare objects using familiar metric units of area and volume. Understanding: The concept of area and boundaries.
name Date
Looking at area Area 1.1
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1 Circle the shape inside each box that has the greatest area.
2 Surface is another word for area. Colour the object with the greatest surface red and the smallest surface blue.
3 For many people it is important to understand area and how to work it out. Read the following statements and see if you can work out who these people are.a I use area to work out how many litres of paint I will need to paint
all the walls in Mrs Nesbitt’s house. I am a ________________________ .
b I need to understand the area of my land so I can calculate the amount of seed and fertilizer I will need to buy. I am a ________________________ .
c I want to tile Mr Gregory’s bathroom, so I must calculate the area of the walls and floor. Then I can work out how many tiles I will need for the job. I am a ________________________ .
d The cement mixer is arriving next week to pour concrete on the floor of the house I am building. I need to understand area to work out how much cement I should order. I am a ________________________ .
e Mrs Browning has chosen a lovely dark green carpet to replace the cream coloured mats in her apartment. I have to measure each room to work out the total area of carpet needed to make her apartment look smart. I am a ________________________ .
Collect 10 leaves from one of the trees in your school playground.
1 Cover the following objects with the leaves and record how many were needed.
Number of Leaves
a your desk top ________________________
b your pencil case ________________________
c your exercise book ________________________
d Did everyone in the class choose leaves of the same size and shape?
______________________
e Did everyone in the class get the same answers? ______________________
f Why? ___________________________________________________________________________________________
Using units of measurement: ACMMG290 Compare objects using familiar metric units of area and volume. Understanding: The concept of area and boundaries. 37
name Date
Boundaries Area 1.4
1 Use a coloured pencil to draw a dotted line around the outside boundary of these shapes.
2 Join the dots in anyway you like to make 2 different shapes. In the first box the sheep should be inside the boundary of one of your shapes. In the second box place the sheep outside the boundary of your shapes.
3 Join some dots so that the sheep is inside the boundary of 2 different shapes. ie The two shapes should overlap.
4 Write three examples of boundaries: eg boundaries in a cricket game.
a ____________________________________________________________________________________________________
b ____________________________________________________________________________________________________
c ____________________________________________________________________________________________________
Using units of measurement: ACMMG290 Compare objects using familiar metric units of area and volume. Understanding: The concept of area and boundaries. Fluency: Compare shapes according to area.38
name Date
thinking Area 1.5
1 Finish the boundaries of these shapes so the areas increase in each frame.
a
b
2 Order these shapes from the smallest to the largest area. Use the numbers 1–5.
a
b
c
3 Draw a shape on the left that has a smaller area and one on the right that has a greater area.
Using units of measurement: ACMMG290 Compare objects using familiar metric units of area and volume. Understanding: Different shaped objects can have the same area. 39
1 Draw three different straight sided shapes with an area of 24 squares.
True or False? Shapes with the same area do not have to be the same
length or width. _______________________
2 Draw five different shapes with one curved side each, with an area of about 16 squares. Count part squares where there are curved sides.
Place a tick on the widest shape and a cross on the narrowest shape.
Carefully calculate the number of squares that each of these shapes cover. Don’t forget to add the half squares.
21
4
Area = __________ squares
3
Area = __________ squares
5
6 7
Area = __________ squares
Area = __________ squares
Area = __________ squares
Area = __________ squares
Area = __________ squares
Using units of measurement: ACMMG290 Compare objects using familiar metric units of area and volume. Understanding: The square centimetre and the square metre. Fluency: Records area using the short form.
1 Using a metre ruler and large sheets of paper, create a square metre. Use this to estimate the following.
How many square metres would cover: a your classroom floor? _____________
b your assembly floor? _____________
c the board? _____________
d the classroom door? _____________
2 List 5 things in your classroom that have an area of less than 1 square metre.
a __________________________ b __________________________ c __________________________
d __________________________ e __________________________
3 Fold your square metre into quarters. Find 5 things outside your classroom that have an area of less than a quarter of a square metre.
a __________________________ b __________________________ c __________________________
d __________________________ e __________________________
4 Rewrite these the short way.
eg seventeen square metres = 17 m2
a three hundred and seven square metres = ______________________
b twenty-six and a half square metres = ______________________
c eighty-eight square metres = ______________________
d five hundred and eleven square metres = ______________________
e one point six square metres = ______________________
5 Cut your square metre into 6 pieces. Using sticky tape, stick it back together in a different way. Is it still a square metre? ______________________ 0
tHinKing?what would be a
bigger unit of measure than a square metre?
_____________________what would be smaller
than 1 cm2?_____________________
Using units of measurement: ACMMG290 Compare objects using familiar metric units of area and volume. Understanding: The square centimetre and the square metre.
e 21 cm2 increase > 11 cm2 = ____________ f 106 cm2 decrease > 21 cm2 = ____________
4 Choose the best unit of measure (cm2 or m2) for the area of each of these:
a picnic blanket ________________
b football field ________________
c Old Joe’s farm ________________0000
d computer screen ________________
e video tape box ________________
f a page out of a novel ________________
g slice of bread ________________
h father’s bald patch ________________
i carpet in Buckingham Palace ________________
A square centimetre is much smaller than a square metre.A square centimetre is used to measure the area of smaller objects.
2
2
2
Using units of measurement: ACMMG290 Compare objects using familiar metric units of area and volume. Understanding: Shapes with the same area can have a different perimeter. Fluency: Applies knowledge of square centimetres to design shapes.
1 On the grid paper below design a shape that: a has an area of 4 square centimetres. b has an area of 10 square centimetres. c has an area of 16 square centimetres.2 a Draw 2 different shapes that have an area of 20 square centimetres. b What are their perimeters?
Using units of measurement: ACMMG290 Compare objects using familiar metric units of area and volume. Understanding: Shapes with the same area can have a different perimeter.