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 […]
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 […]
The point E is inside the square ABCD and AEB is an equilateral triangle. Find the angles EBC, BEC and ECD and give reasons for your answers.
Click for Teacher-Notes-GEO-PROB.
These ‘trisquares’ are made up of three squares and each has an area of 3 square units.
Can you fit them together to make an enlargement of the shape? What is its area?
Can you fit trisquares together to make enlargements of scale factors 3, 4 and 5? What are their areas?
Is it […]
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 […]
In how many ways can you fit all three pieces together, edge to edge, to make shapes with line symmetry?
The first of these examples shows a symmetrical arrangement, the second is not allowed because the pieces are not placed edge to edge and the third is not symmetrical.
In how many ways can you half cover one big square using two smaller yellow squares as in diagram A.
What are the similarities and differences between the patterns?
Suppose you half cover four big squares by half covering each square as in diagram B.
Diagram B is unchanged when you rotate […]
(a) You must mark four red squares and five blue squares in a 3 by 3 grid .
How many ways can you do this so that all the rows columns and diagonals have an even number of red squares?
Two solutions are considered the same if one can be transformed to […]
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