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"Lower Secondary"
The lattice points are where the lines intersect. How many interior lattice points do your lines go through?
Draw more grids. Before you draw the diagonals, can you predict how many lattice points they will go through? How do you know?
A point whose […]
This practical activity involves making a skeletal model of an icosahedron by tying together sticks made from paper rolled tightly around pieces of string. Make 6 rhombuses as shown with 5 sticks for each one.
Tie the rhombuses together to make this pattern noting how the different coloured rhombuses […]
A circle of radius r and centre O, is inscribed in a triangle with edges of lengths a, b and c.
Find the area and circumference of the circle.
Find the area and the perimeter of the triangle.
What do you notice about the ratios of the two areas and the ratios […]
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
You can make the five platonic solids using paper, string and sticky tape.
If you would like to find out how to do this click on the links below.
Click here for instruction sheet.
Click here for learner’s worksheet.
Click here for […]
a. Draw 2 circles with equal radii, intersecting at C, so that each goes through the centre of the other.
b. Draw a third circle of the same radius with centre C.
c. Draw 4 more circles with centres on the circle centre A and passing through A.
There are some mistakes and some correct methods and correct answers.
Find the mistakes and write out the correct calculation using that method.
Explain how and why the methods that get the correct answers work.
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 […]
For any triangle you can construct a line through one of the vertices parallel to the opposite edge.
Using what you know about angles and parallel lines prove that the angles of the triangle add up to 180 degrees.
Click here to download the ANGLE SUM worksheet.
Click here […]
For this activity you need lots of old newspapers, and some sticky tape.
Make 1 metre length sticks using newspaper.
Tightly roll 8 large sheets of newspaper, 4 and 4 placed as in the photograph, so that the length of the stick when the paper is […]
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