**"Constructions"**

## 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 Elephant Dreaming

*By toni On 3 July, 2019 · Leave a Comment*

Copy the picture to draw this spiral. Then create your own elephant. The numbers in the centres of the squares give the radii of the quarter circles that you need to draw.

What do you notice about this sequence of numbers 1, 1, 2, 3, 5, 8, 13, 21 … ? […]

## Grades 8 to 12 A 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 other […]

## Years 7 – 9 Construct with Circles

*By toni On 18 February, 2018 · 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 7 – 9 Construct with Lines

*By toni On 18 February, 2018 · 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 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 10 – 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 […]

## Grades 7 to 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 […]

## Grades 9 to 12 – Is it possible?

*By toni On 17 January, 2012 · Leave a Comment*

Imagine you have a pencil, ruler, protractor and compass and you try to draw this triangle. Is it possible?

If you have geometry instruments then try it for yourself. What do you notice?

Can you give reasons for your answer to the question “Is it possible?”

Click here for The Notes for Teachers. […]

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