Other tags that relate to Overlaps
Games. Practical Activity. Visualising. Working systematically. Triangles. Squares. Investigations. Interactivities. Quadrilaterals. Tangram.There are 63 results
Broad Topics > Angles, Polygons, and Geometrical Proof > Triangles
Overlaps
Age 5 to 7 Challenge Level:
What does the overlap of these two shapes look like? Try picturing it in your head and then use some cut-out shapes to test your prediction.
Posting Triangles
Age 5 to 7 Challenge Level:
If you can post the triangle with either the blue or yellow colour face up, how many ways can it be posted altogether?
Regular Rings 1
Age 7 to 11 Challenge Level:
Can you work out what shape is made by folding in this way? Why not create some patterns using this shape but in different sizes?
Three Fingers and a Loop of String
Age 5 to 7 Challenge Level:
Using a loop of string stretched around three of your fingers, what different triangles can you make? Draw them and sort them into groups.
Inside Seven Squares
Age 7 to 11 Challenge Level:
What is the total area of the four outside triangles which are outlined in red in this arrangement of squares inside each other?
Part the Polygons
Age 7 to 11 Short Challenge Level:
Draw three straight lines to separate these shapes into four groups - each group must contain one of each shape.
Paper Patchwork 2
Age 5 to 7 Challenge Level:
Have a go at making a few of these shapes from paper in different sizes. What patterns can you create?
Cut and Make
Age 7 to 11 Challenge Level:
Cut a square of paper into three pieces as shown. Now,can you use the 3 pieces to make a large triangle, a parallelogram and the square again?
Making Maths: Test the Strength of a Triangle
Age 7 to 11 Challenge Level:
Have you noticed that triangles are used in manmade structures? Perhaps there is a good reason for this? 'Test a Triangle' and see how rigid triangles are.
Rectangle Tangle
Age 7 to 11 Challenge Level:
The large rectangle is divided into a series of smaller quadrilaterals and triangles. Can you untangle what fractional part is represented by each of the shapes?
Nine-pin Triangles
Age 7 to 11 Challenge Level:
How many different triangles can you make on a circular pegboard that has nine pegs?
Cartesian Isometric
Age 7 to 11 Challenge Level:
The graph below is an oblique coordinate system based on 60 degree angles. It was drawn on isometric paper. What kinds of triangles do these points form?
Peg and Pin Boards
Age 5 to 11
This article for teachers suggests activities based on pegboards, from pattern generation to finding all possible triangles, for example.
Possible Pairs
Age 7 to 11 Challenge Level:
In this game, you turn over two cards and try to draw a triangle which has both properties.
Fraction Fascination
Age 7 to 11 Challenge Level:
This problem challenges you to work out what fraction of the whole area of these pictures is taken up by various shapes.
Folding Flowers 2
Age 7 to 11 Challenge Level:
Make a flower design using the same shape made out of different sizes of paper.
Triangle Edges
Age 5 to 7 Challenge Level:
How many triangles can you make using sticks that are 3cm, 4cm and 5cm long?
Inside Triangles
Age 5 to 7 Challenge Level:
How many different triangles can you draw on the dotty grid which each have one dot in the middle?
Name That Triangle!
Age 7 to 11 Challenge Level:
Can you sketch triangles that fit in the cells in this grid? Which ones are impossible? How do you know?
Transformations on a Pegboard
Age 7 to 11 Challenge Level:
How would you move the bands on the pegboard to alter these shapes?
Triangle Island
Age 7 to 11 Challenge Level:
You have pitched your tent (the red triangle) on an island. Can you move it to the position shown by the purple triangle making sure you obey the rules?
Board Block
Age 5 to 7 Challenge Level:
Take it in turns to make a triangle on the pegboard. Can you block your opponent?
Triangle or No Triangle?
Age 5 to 7 Challenge Level:
Here is a selection of different shapes. Can you work out which ones are triangles, and why?
Logic Block Collections
Age 5 to 7 Challenge Level:
What do you think is the same about these two Logic Blocks? What others do you think go with them in the set?
More Transformations on a Pegboard
Age 7 to 11 Challenge Level:
Use the interactivity to find all the different right-angled triangles you can make by just moving one corner of the starting triangle.
Putting Two and Two Together
Age 7 to 11 Challenge Level:
In how many ways can you fit two of these yellow triangles together? Can you predict the number of ways two blue triangles can be fitted together?
Board Block for Two
Age 5 to 7 Challenge Level:
Board Block game for two. Can you stop your partner from being able to make a shape on the board?
Matching Triangles
Age 5 to 7 Challenge Level:
Can you sort these triangles into three different families and explain how you did it?
Triangles All Around
Age 7 to 11 Challenge Level:
Can you find all the different triangles on these peg boards, and find their angles?
Triangle Pin-down
Age 7 to 11 Challenge Level:
Use the interactivity to investigate what kinds of triangles can be drawn on peg boards with different numbers of pegs.
Bracelets
Age 7 to 11 Challenge Level:
Investigate the different shaped bracelets you could make from 18 different spherical beads. How do they compare if you use 24 beads?
Sorting Logic Blocks
Age 5 to 11 Challenge Level:
This interactivity allows you to sort logic blocks by dragging their images.
Uncanny Triangles
Age 7 to 11 Challenge Level:
Can you help the children find the two triangles which have the lengths of two sides numerically equal to their areas?
Seven Sticks
Age 5 to 7 Challenge Level:
Explore the triangles that can be made with seven sticks of the same length.
Let's Investigate Triangles
Age 5 to 7 Challenge Level:
Vincent and Tara are making triangles with the class construction set. They have a pile of strips of different lengths. How many different triangles can they make?
Cutting it Out
Age 5 to 11 Challenge Level:
I cut this square into two different shapes. What can you say about the relationship between them?
Jig Shapes
Age 5 to 11 Challenge Level:
Can you each work out what shape you have part of on your card? What will the rest of it look like?
Cut it Out
Age 7 to 11 Challenge Level:
Can you dissect an equilateral triangle into 6 smaller ones? What number of smaller equilateral triangles is it NOT possible to dissect a larger equilateral triangle into?
Triangle Animals
Age 5 to 7 Challenge Level:
How many different ways can you find to join three equilateral triangles together? Can you convince us that you have found them all?
Animated Triangles
Age 5 to 7 Challenge Level:
Watch this "Notes on a Triangle" film. Can you recreate parts of the film using cut-out triangles?
Repeating Patterns
Age 5 to 7 Challenge Level:
Try continuing these patterns made from triangles. Can you create your own repeating pattern?
Data Shapes
Age 5 to 7 Challenge Level:
Sara and Will were sorting some pictures of shapes on cards. "I'll collect the circles," said Sara. "I'll take the red ones," answered Will. Can you see any cards they would both want?
Sticks and Triangles
Age 7 to 11 Challenge Level:
Using different numbers of sticks, how many different triangles are you able to make? Can you make any rules about the numbers of sticks that make the most triangles?
Triangle Relations
Age 7 to 11 Challenge Level:
What do these two triangles have in common? How are they related?
Colouring Triangles
Age 5 to 7 Challenge Level:
Explore ways of colouring this set of triangles. Can you make symmetrical patterns?
Tessellating Triangles
Age 7 to 11 Challenge Level:
Can you make these equilateral triangles fit together to cover the paper without any gaps between them? Can you tessellate isosceles triangles?
NRICH is part of the family of activities in the Millennium Mathematics Project.