Using a loop of string stretched around three of your fingers, what different triangles can you make? Draw them and sort them into groups.
You'll need a collection of cups for this activity.
In this activity focusing on capacity, you will need a collection of different jars and bottles.
For this activity which explores capacity, you will need to collect some bottles and jars.
We have a box of cubes, triangular prisms, cones, cuboids, cylinders and tetrahedrons. Which of the buildings would fall down if we tried to make them?
Can you describe a piece of paper clearly enough for your partner to know which piece it is?
Can you work out what shape is made when this piece of paper is folded up using the crease pattern shown?
Make a flower design using the same shape made out of different sizes of paper.
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?
Make a chair and table out of interlocking cubes, making sure that the chair fits under the table!
Can you see which tile is the odd one out in this design? Using the basic tile, can you make a repeating pattern to decorate our wall?
This challenge invites you to create your own picture using just straight lines. Can you identify shapes with the same number of sides and decorate them in the same way?
This practical activity challenges you to create symmetrical designs by cutting a square into strips.
Have a go at making a few of these shapes from paper in different sizes. What patterns can you create?
Can you make five differently sized squares from the tangram pieces?
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?
Can you visualise what shape this piece of paper will make when it is folded?
Move four sticks so there are exactly four triangles.
Make a cube out of straws and have a go at this practical challenge.
Can you split each of the shapes below in half so that the two parts are exactly the same?
Use the lines on this figure to show how the square can be divided into 2 halves, 3 thirds, 6 sixths and 9 ninths.
Have a look at what happens when you pull a reef knot and a granny knot tight. Which do you think is best for securing things together? Why?
Kimie and Sebastian were making sticks from interlocking cubes and lining them up. Can they make their lines the same length? Can they make any other lines?
This project challenges you to work out the number of cubes hidden under a cloth. What questions would you like to ask?
We can cut a small triangle off the corner of a square and then fit the two pieces together. Can you work out how these shapes are made from the two pieces?
Follow these instructions to make a five-pointed snowflake from a square of paper.
Did you know mazes tell stories? Find out more about mazes and make one of your own.
It's hard to make a snowflake with six perfect lines of symmetry, but it's fun to try!
Paint a stripe on a cardboard roll. Can you predict what will happen when it is rolled across a sheet of paper?
Arrange your fences to make the largest rectangular space you can. Try with four fences, then five, then six etc.
Looking at the picture of this Jomista Mat, can you decribe what you see? Why not try and make one yourself?
Can you cut up a square in the way shown and make the pieces into a triangle?
Watch this "Notes on a Triangle" film. Can you recreate parts of the film using cut-out triangles?
Exploring and predicting folding, cutting and punching holes and making spirals.
Can you make a rectangle with just 2 dominoes? What about 3, 4, 5, 6, 7...?
What are the next three numbers in this sequence? Can you explain why are they called pyramid numbers?
How many models can you find which obey these rules?
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?
You will need a long strip of paper for this task. Cut it into different lengths. How could you find out how long each piece is?
Have you ever tried tessellating capital letters? Have a look at these examples and then try some for yourself.
For this task, you'll need an A4 sheet and two A5 transparent sheets. Decide on a way of arranging the A5 sheets on top of the A4 sheet and explore ...
What is the greatest number of squares you can make by overlapping three squares?
This problem invites you to build 3D shapes using two different triangles. Can you make the shapes from the pictures?
Follow the diagrams to make this patchwork piece, based on an octagon in a square.
Kaia is sure that her father has worn a particular tie twice a week in at least five of the last ten weeks, but her father disagrees. Who do you think is right?
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?
What shape is made when you fold using this crease pattern? Can you make a ring design?
Can you put these shapes in order of size? Start with the smallest.
Can you deduce the pattern that has been used to lay out these bottle tops?
This practical problem challenges you to create shapes and patterns with two different types of triangle. You could even try overlapping them.