Other tags that relate to En-counters for Two
Dice. Working systematically. Processing and representing data. Addition & subtraction. Practical Activity. Making and proving conjectures. Questioning. Visualising. Investigations. Team-building.There are 155 results
Broad Topics > Thinking Mathematically > Practical Activity
Purposeful Paper Folding
Age 5 to 11
In this article for primary teachers, Fran describes her passion for paper folding as a springboard for mathematics.
Dice Stairs
Age 7 to 11
Challenge Level
Can you make dice stairs using the rules stated? How do you know you have all the possible stairs?
How Many?
Age 5 to 7
Challenge Level
This project challenges you to work out the number of cubes hidden under a cloth. What questions would you like to ask?
It's a Fence!
Age 5 to 11
Challenge Level
In this challenge, you will work in a group to investigate circular fences enclosing trees that are planted in square or triangular arrangements.
Building Patterns
Age 7 to 11
Challenge Level
Can you deduce the pattern that has been used to lay out these bottle tops?
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?
Cereal Packets
Age 7 to 11
Challenge Level
How can you put five cereal packets together to make different shapes if you must put them face-to-face?
Triangle Relations
Age 7 to 11
Challenge Level
What do these two triangles have in common? How are they related?
Tricky Triangles
Age 5 to 7
Challenge Level
Use the three triangles to fill these outline shapes. Perhaps you can create some of your own shapes for a friend to fill?
Hoops/rope
Age 7 to 11
Challenge Level
Ideas for practical ways of representing data such as Venn and Carroll diagrams.
Two by One
Age 7 to 11
Challenge Level
An activity making various patterns with 2 x 1 rectangular tiles.
Shaping Up
Age 7 to 11
Challenge Level
Are all the possible combinations of two shapes included in this set of 27 cards? How do you know?
Seven Flipped
Age 7 to 11
Challenge Level
Investigate the smallest number of moves it takes to turn these mats upside-down if you can only turn exactly three at a time.
Making Maths: Birds from an Egg
Age 7 to 11
Challenge Level
Can you make the birds from the egg tangram?
Baked Bean Cans
Age 5 to 7
Challenge Level
Is there a best way to stack cans? What do different supermarkets do? How high can you safely stack the cans?
Cutting Corners
Age 7 to 11
Challenge Level
Can you make the most extraordinary, the most amazing, the most unusual patterns/designs from these triangles which are made in a special way?
Making Sticks
Age 5 to 7
Challenge Level
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?
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 Shapes
Age 5 to 11
Challenge Level
This practical problem challenges you to create shapes and patterns with two different types of triangle. You could even try overlapping them.
Making Cuboids
Age 7 to 11
Challenge Level
Let's say you can only use two different lengths - 2 units and 4 units. Using just these 2 lengths as the edges how many different cuboids can you make?
Two on Five
Age 5 to 11
Challenge Level
Take 5 cubes of one colour and 2 of another colour. How many different ways can you join them if the 5 must touch the table and the 2 must not touch the table?
Making Longer, Making Shorter
Age 5 to 7
Challenge Level
Ahmed is making rods using different numbers of cubes. Which rod is twice the length of his first rod?
Little Boxes
Age 7 to 11
Challenge Level
How many different cuboids can you make when you use four CDs or DVDs? How about using five, then six?
Move Those Halves
Age 7 to 11
Challenge Level
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 ...
Little Man
Age 5 to 7
Challenge Level
The Man is much smaller than us. Can you use the picture of him next to a mug to estimate his height and how much tea he drinks?
Pyramid Numbers
Age 7 to 11
Challenge Level
What are the next three numbers in this sequence? Can you explain why are they called pyramid numbers?
The Hair Colour Game
Age 7 to 11
Challenge Level
The class were playing a maths game using interlocking cubes. Can you help them record what happened?
Cover the Tray
Age 7 to 11
Challenge Level
These practical challenges are all about making a 'tray' and covering it with paper.
How Tall?
Age 5 to 11
Challenge Level
A group of children are discussing the height of a tall tree. How would you go about finding out its height?
Sports Equipment
Age 7 to 11
Challenge Level
If these balls are put on a line with each ball touching the one in front and the one behind, which arrangement makes the shortest line of balls?
Order the Changes
Age 7 to 11
Challenge Level
Can you order pictures of the development of a frog from frogspawn and of a bean seed growing into a plant?
Three Sets of Cubes, Two Surfaces
Age 7 to 11
Challenge Level
How many models can you find which obey these rules?
Bryony's Triangle
Age 7 to 11
Challenge Level
Watch the video to see how to fold a square of paper to create a flower. What fraction of the piece of paper is the small triangle?
Pairs of Numbers
Age 5 to 7
Challenge Level
If you have ten counters numbered 1 to 10, how many can you put into pairs that add to 10? Which ones do you have to leave out? Why?
Making Maths: Be a Mathemagician
Age 7 to 11
Challenge Level
Surprise your friends with this magic square trick.
Fit These Shapes
Age 5 to 11
Challenge Level
What is the largest number of circles we can fit into the frame without them overlapping? How do you know? What will happen if you try the other shapes?
The Numbers Give the Design
Age 7 to 11
Challenge Level
Make new patterns from simple turning instructions. You can have a go using pencil and paper or with a floor robot.
Sort Them Out (2)
Age 7 to 11
Challenge Level
Can you each work out the number on your card? What do you notice? How could you sort the cards?
Map Folding
Age 7 to 11
Challenge Level
Take a rectangle of paper and fold it in half, and half again, to make four smaller rectangles. How many different ways can you fold it up?
A City of Towers
Age 5 to 7
Challenge Level
In this town, houses are built with one room for each person. There are some families of seven people living in the town. In how many different ways can they build their houses?
Egyptian Rope
Age 7 to 11
Challenge Level
The ancient Egyptians were said to make right-angled triangles using a rope with twelve equal sections divided by knots. What other triangles could you make if you had a rope like this?
Two-digit Targets
Age 5 to 7
Challenge Level
You have a set of the digits from 0 – 9. Can you arrange these in the five boxes to make two-digit numbers as close to the targets as possible?
Halving
Age 5 to 7
Challenge Level
These pictures show squares split into halves. Can you find other ways?
Chairs and Tables
Age 5 to 7
Challenge Level
Make a chair and table out of interlocking cubes, making sure that the chair fits under the table!
Square Corners
Age 7 to 11
Challenge Level
What is the greatest number of counters you can place on the grid below without four of them lying at the corners of a square?
Dienes' Logiblocs
Age 5 to 7
Challenge Level
This problem focuses on Dienes' Logiblocs. What is the same and what is different about these pairs of shapes? Can you describe the shapes in the picture?
Polydron
Age 7 to 11
Challenge Level
This activity investigates how you might make squares and pentominoes from Polydron.
Making Maths: Happy Families
Age 5 to 11
Challenge Level
Here is a version of the game 'Happy Families' for you to make and play.
NRICH is part of the family of activities in the Millennium Mathematics Project.