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"Lesson Activities"
Count in 4s to give the 4 times table: 4, 8, 12, 16, 20, … 80, 84, 88, …
Now shift the 4 times table up 3 to give 7, 11, 15, 19, 23, … 83, 87, 91, …
Which tables were shifted to give the following sequences? By how much? Explain […]
The Cape Town cable car takes tourists to the top of Table Mountain. The cable is 1.2 kilometres in length and makes an angle of 40 degrees with the ground.
Draw a scale diagram and use it to find an approximate value of the vertical height (h) climbed by the cable car.
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In your kitchen or in a supermarket, look at the information on labels on unopened packages and discover how heavy the items are. Some small items may be labelled in grams and other items will be labelled in kilograms.
The photos […]
We start from this definition:
A parallelogram is a quadrilateral with both pairs of opposite edges parallel.
In this investigation you will discover some other properties of parallelograms.
Step 1: Use two different width rulers to draw a parallelogram on tracing or baking paper.
Make sure that it is […]
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 […]
1. For each line fill in your answers to the following questions in the table below: (Line E has been done for you.)
(i) Write down the coordinates (0; c) of the point of intersection of the line with the y-axis (the y intercept).
(ii) Choose two points on the line . […]
Using 3 rods of lengths from 1 to 10 units, and not using any rod more than once, you can measure all the lengths in whole units from 1 to 10 units.
For example with rods of lengths 3, 4, and 9 the measurements are:
4 – 3 = 1; 9 – 4 […]
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 […]
Archimedes (287 BC – 212 BC) wrote about problems like this involving touching circles.
The outer circle, centre O, has radius 2 units.
The points O, A, A’, B and C are centres of circles that are tangent to each other where they touch.
It can be shown that OACB is […]
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