**"Constructions"**

## Grades 7 to 10 Constructions 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.

## Grades 7 to 10 Constructions 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 […]

## Grades 7 to 10 Constructing 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 […]

## Making Maths Activities Advent Calendar

*By toni On 28 November, 2016 · Leave a Comment*

Click on Advent Calendar to go to the NRICH website to find 24 Making Maths activities. These are equally good for all the year round.

You will find instructions for making all sorts of mathematical models and learning aids from very cheap materials that will help you to learn, understand and enjoy mathematics […]

## Grades 8 to 11 Constructing Cardioids

*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 and carefully mark 36 points around the circle at 10 degree intervals.

Join the points with straight lines as […]

## 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 […]

Picture puzzles for any time in the year.

Click on Calendar to go to the NRICH website to find 24 picture puzzles which first appeared as the 2009 Advent Calendar.

## 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? Try to do the construction. What do you notice?

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

Click here for The Notes for Teachers. This problem is adapted from […]

## Grade 10 – Triangle Midpoints

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

You are only given the three midpoints of the sides of a triangle.

How can you construct the original triangle?

Is there more than one way to find the answer?

## Grade 9 and 10 Triangular

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

Investigate different triangles PQR where the angle QPR is 40 degrees. Choose your own angles at Q and R, for example someone might choose 90 degrees and 50 degrees and someone else 62 degrees and 78 degrees.

Accurately draw the internal bisectors of the angles at Q and R to meet […]

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