How many triangles can you find? Look carefully, there may be more than you think!
Click here to download a large copy of the triangle.
Click here to download a sheet to colour in your solutions.
Take a sheet of A4 paper. First fold the top left corner to meet the bottom edge and press the fold flat. Then fold the top right corner to meet the edge that you folded down.
Can you prove that the quadrilateral you have made is a kite?
Can you find the perimeter of the […]
This lesson is first about using properties of quadrilaterals to identify particular shapes and second about identifying the smallest number of properties needed to define a shape. This activity should be given to the class as a formative assessment activity: it is designed to provide the teacher with information about the learners’ current levels […]
INDIVIDUAL OR WHOLE CLASS ACTIVITY
Sort these quadrilaterals into 4 sets of 4 and describe the properties of each set.
.GROUP ACTIVITY – groups of 4
Cut out 16 cards and mix them up.
Give each member of the group 4 cards. They must give their cards to other members of the […]
How many right-angled triangles of different sizes can you make by joining the dots on the 5 by 5 spotty grid?
Describe your triangles and say what geometrical properties they have.
You can download […]
This rectangle measures three units by one unit.
The diagram shows three angles a, b and c.
How many ways can you prove that a + b = c?
What other interesting properties can you find?
When this activity was originally published on NRICH, two boys from Madras School in St Andrew’s, Scotland sent […]
Draw chords to cut a regular hexagon
(a) into two pieces which, when put together, make a parallelogram;
(b) into three pieces which, when put together, make a rhombus;
(c) into four pieces which, when put together, make two equilateral triangles.
(d) What angles can you find in each of your shapes?
(e) If […]
Seven squares are drawn inside each other. The centre points of each side of the outer square are joined to make a smaller square inside it and so on.
The centre square has the area of 1 (one) square unit.
Draw the diagram. You can download square dotty paper here.
What is […]
Show that is it impossible to have a tetrahedron whose six edges have lengths 10, 20, 30, 40, 50 and 60 units.
Is it possible for a tetrahedron to have edges of lengths 10, 20, 25, 45, 50 and 60 units?
Can you write general rules for someone else to use to check whether […]
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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