Contents
Chapter 1: My 3-D world, my 2-D picture
1
Chapter 2: Angles in my world
8
Chapter 3: 2-D shapes revisited
14
Chapter 4: A world in depth
20
What have you learnt?
20
Final activity
35
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Activity 1
Place some large sheets of paper (newspaper will do) on the floor. Lie
down and using a texta or a pen trace around the outline of your body.
If it is too hard, get someone to draw your outline for you.
You are a 3-D object, but the outline you just drew is a 2-D image of
you. Can you think of other everyday objects we refer to as 2-D?
Answer:
A photograph, poster or diagram are all 2-D illustrations of objects.
The shapes in them are referred to as 2-D shapes. So, even though we
live in a 3-D world we often use 2-D illustrations and 2-D shapes.
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Story
Rudi is interested in all the objects and shapes of our world. He
wants to train and work as a drafting officer, who is someone
who draws plans and designs. Rudi also loves to draw and paint
during his spare time. One day he is sketching his house when
he notices that his drawing of the house contains the four most
common 2-D shapes.
Activity 2
Draw the four most common 2-D shapes that you think Rudi
recognised in his drawing?
Answer:
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Activity 3
Here are pictures of the four common 2-D shapes that people use and
the names we give them. Write the name you think belongs to each
shape next to the shape to which it belongs.
Names: CIRCLE, TRIANGLE, RECTANGLE, SQUARE
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Activity 4
Take a walk around your local community. Use the table below to help
you find objects that show these shapes. Some have already been done
for you.
Triangle
Some house roofs
4
Rectangle
Square
Circle
Car tyres
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Chapter 3
2-D shapes revisited
What difference does an angle make?
Now that we know about angles we can take another look at 2-D shapes.
Rudi’s last drawing had a shape in it that looked like a rectangle pushed
out of shape. This parallelogram has four sides like a rectangle, so how
is it different from a rectangle?
Activity 1
For this activity you need six drinking straws and eight split pins.
First, cut two of the straws in half, to get four smaller straws.
Next, set up two rectangles using the eight straws as shown in the
diagram.
Fasten each of the eight corners together with a split pin.
Leave one rectangle as is. Shift the short sides of the second rectangle
as shown in the diagram below, to create a parallelogram.
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Can you estimate the sizes of the angles in the rectangle and those in
the parallelogram you have created?
1. Which sides are the same lengths in each shape?
Answer:
2. Which angles are the same size in the rectangle?
Answer:
3. What happens to the angles in the parallelogram? Are they the
same as the angles in the rectangle?
Answer:
Activity 2
In Activity 1 the two shapes are both four-sided and we know that a
square also has four sides. Here is another four-sided shape. It is called
a kite shape.
Top angle
Left- and right-side angles
Bottom angle
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For the trainer: You may wish to ask the learner questions or
get them to demonstrate that they have:
completed the work you require
understood the main concepts of the topic
applied the relevant skills as outlined in the What have you
learnt? section.
Name:
Signature:
Date:
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Answers
Chapter 1
Activity 1
A variety of answers are appropriate; for example, postcards, notes,
book pages, forms and bills all contain 2-D shapes.
Activity 2
The four most common shapes are a circle, triangle, rectangle and
square.
Activity 3
The correct order is circle, rectangle, square, triangle.
Activity 4
A variety of objects, signs and buildings may be mentioned.
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