**"Constructions"**

## Years 8 – 12 Elephant Dreaming

*By toni On 17 August, 2020 · Leave a Comment*

Start to explore ideas of Fibonacci numbers and the golden ratio by copying the picture and drawing this spiral which is made up of quarter circles. Watch this inspirational video.

Then create your own elephant. The numbers in the centres of the squares give the radii of the quarter circles […]

## Years 6 – 9 Magic Egg Tangram Puzzle

*By toni On 10 August, 2020 · Leave a Comment*

We know birds come from eggs.

You can make many birds from the 9 puzzle pieces of the Magic Tangram Egg.

Break the egg and re-assemble the 9 pieces to hatch one of many varieties of birds.

Construction

Draw a circle with radius […]

## Years 7 – 9 Construct with Lines

*By toni On 8 July, 2020 · Leave a Comment*

Click here for Learner’s worksheet with instructions for measuring angles and doing geometrical constructions.

Accurately copy the following patterns and vary them to make your own designs.

1. ENVELOPE PATTERNS WITH STRAIGHT LINES

Draw two base lines and mark the same number of points at equal distances along each line. Join […]

## Years 7 – 9 Construct with Circles

*By toni On 24 April, 2020 · Leave a Comment*

a. Draw 2 circles with equal radii, intersecting at C, so that each goes through the centre of the other.

b. Draw a third circle of the same radius with centre C.

c. Draw 4 more circles with centres on the circle centre A and passing through A.

## Years 10 – 12 Construct Geometrical Patterns

*By toni On 21 October, 2019 · Leave a Comment*

1. ENVELOPE PATTERNS WITH STRAIGHT LINES

These straight lines form a family and the curves that you see, called envelopes, are tangent to each line in the family.

Draw two base lines and mark the same number of points at equal distances along each line. Join the outermost point on one base […]

## Years 6 – 12 Flower of Life

*By toni On 16 July, 2019 · Leave a Comment*

Describe the picture? What do you notice? Talk with your friends about it. What shapes can you see in it?

Describe the different symmetries. Draw the picture yourself. Draw your own designs using this idea. Can you explain how this 2-dimensional picture appears to show a 3-dimensional object?

You could use paperclip […]

## Years 8 – 12 Mathematical Lens

*By toni On 2 July, 2019 · Leave a Comment*

STEP 1

1a) Double click on the picture above to start the movie showing how to draw a circle using the paperclip compass.

1b) Draw 2 circles of the same radius with centres A and B so that each circle goes through the centre of the […]

## Years 7 – 9 Construct circle and line patterns

*By toni On 18 February, 2018 · Leave a Comment*

The picture shows you how to use a paper clip to draw circles. You just need to open out the paper clip as shown,

Draw a circle and mark 24 points equally spaced around the circumference. To do this, draw a circle and mark the centre, and mark your first point on […]

## Years 8 – 12 Clock Arithmetic and Envelopes

*By toni On 7 November, 2016 · Leave a Comment*

Cardioid technology is used in microphones and speakers. Cardioids appear in the motion of planets and in many other ways. See this YouTube video.

To draw a cardioid, first draw a circle, then carefully mark 36 points around the circle at 10 degree intervals and number the points n = 0 […]

## Years 7 – 9 More line patterns

*By toni On 6 November, 2016 · Leave a Comment*

a) To draw this pattern, first draw a rectangle.

b) Choose a small distance d, mark this distance along the edge of the rectangle and draw a straight line from one vertex of the rectangle to this point as in Step 1.

c) Mark the distance d along the next edge and […]

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