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"Lesson Activities"
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 […]
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
Imagine this graph is a road and you are driving from the bottom left hand (South West) corner to the top right hand (North East) corner. Describe how you would steer the car.
When would you be turning the steering wheel to the right?
When would you be turning the steering wheel […]
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 […]
Find some sticks, they could be twigs, or matchsticks or cocktail sticks, or rolled paper sticks, or pasta like spaghetti broken into short lengths, but they must all be the same length.
Arrange 16 sticks into this pattern.
As an easy starter, can you remove 4 sticks and leave […]
Below are three addition- subtraction problems that are classified into Level 1, Level 2, and Level 3.
Level 1: Find the sums and difference of the numbers indicated on the diagram (vertically/horizontally)
Level 2: Fill in the empty boxes such that the sums (difference) of the horizontally and vertically arranged numbers satisfy the given […]
A sequence is defined by the formula an = n2 – 2n + 1.
(a) Calculate the first 8 terms of the sequence.
(b) Calculate the first difference between the terms.
(c) Calculate the second difference between the terms.
(d) What can you say about the results you obtained?
Please click Guide for Home […]
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