This is a classic Chinese Tangram. Each of the people illustrated, and many convex polygons, can be made with the 7 pieces and there are hundreds of other puzzles based on this tangram.
Can you find a way to fold a sheet of paper so that you can cut out the tangram pieces accurately […]
Is a Square a Rectangle?
Make a record of all the rectangles that you can find in this shape.
Which rectangles are exactly the same (congruent)?
Which rectangles are similar?
Is a Square a Rectangle – Template
Click here to download the IS A SQUARE A RECTANGLE? worksheet.
Click here to download the NOTES FOR TEACHERS.
Fold a square
A square of paper 8 cm by 8 cm is folded so that the corner P coincides with the midpoint of an opposite edge as shown in the diagram.
Investigate the three triangles (where there is a single thickness of the paper) that are formed by folding in this way.
Click here for […]
Doesn’t Add Up
Look at this square divided into four pieces : two identical triangles and two identical trapezia.
The edge of length 3 from each triangle matches with the edge of length 3 from a trapezium so that the four pieces from the square now occupy a rectangular space.
The square had side length 8 […]
Kite in a Square
ABCD is a square with edge 1 unit. AM=MB and O is the centre of the square.
Find the area of the kite.
Can you find this area by more than one method?
Click here to download the KITE IN A SQUARE worksheet
Square It Game
SQUARE IT – GAME FOR TWO
Use a dotty grid and take it in turns to claim a point and mark it with your colour. The first person or team to get 4 of their markers at the vertices of a square wins the game.
PEOPLE MATHS – GAME FOR TWO […]
How Many Squares?
How many squares can you make by joining four points on this grid?
Look for squares of different sizes and also tilted squares
Start with a 3 by 3 grid of nine dots. Can you find six squares?
Then go on to the 4 by 4 grid of sixteen dots.
What can you say […]
Fractions in a Square
Squares 1, 2 and 3 all have edges of length 1 unit.
The top edge of square 2 is split into equal parts of length ½.
The left hand edge of square 3 is split into equal parts of length ½.
The top and bottom edges of square 3 is split into lengths ¼, […]
This activity is about rectangles with whole number dimensions. With other lengths and breadths there are infinitely many possible rectangles so here we just stick to whole numbers.
How many rectangles can you make with perimeter 12 units?
What do you know about rectangles? What is the smallest rectangle that you can […]
Imagine a large cube made up from 27 small red cubes each measuring 1 cm by 1 cm by 1 cm. What is its volume?
Imagine dipping the large cube into a pot of yellow paint so the whole outer surface is covered. What is its surface area?
Now imagine breaking the […]
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