Posts by: toni
What is the area, (in square units) of the triangle formed by the three lines whose equations are: y − x = 6, x − 2y = 3 and x + y = 6?
Lick here to download the GRAPHICAL TRIANGLE worksheet
Click here for the Notes for Teachers.
This […]
The graph shows how the weight of a letter (including the envelope) varies with the number of sheets of paper used.
What is the weight of a single sheet of paper?
What is the weight of the envelope?
If w is the weight of the letter (including the envelope) and s is […]
We need to use negative numbers for sub zero temperatures and for distances between the highest peaks on earth and the deepest points in the oceans and deep mines.
Mauna Kea’s summit is 4205 metres above sea level but it extends below the sea surface to a depth of -6000 metres. This makes Mauna Kea […]
This collection of 6 games gives practice in addition, subtraction, multiplication and division of whole numbers and you can easily adapt them to include negative numbers and decimals. To win these games you will need to understand place value and how the calculations work and be able to estimate the results of calculations. These […]
Egyptian fractions are unit fractions, that is fractions with a numerator of 1. We are going to investigate methods of reducing all fractions to the sums of different smaller unit fractions as we see in this example:
Try some for yourself. Check your answers using a Fraction Wall. Does this always work? […]
Ancient Egyptians used only unit fractions, that is fractions with 1 as the numerator. They wrote all fractions as the sum of unit fractions with different denominators. We are going to explore how we can write the fractions we use in the form of Egyptian fractions. We shall use a method called […]
Cardioid technology is used in microphones and speakers. Cardioids appear in the motion of planets and in many other ways. See this YouTube video.
To draw a cardioid, first draw a circle, then carefully mark 36 points around the circle at 10 degree intervals and number the points n = 0 […]
a) To draw this pattern, first draw a rectangle.
b) Choose a small distance d, mark this distance along the edge of the rectangle and draw a straight line from one vertex of the rectangle to this point as in Step 1.
c) Mark the distance d along the next edge and […]
Continue these sequences for the next three terms and continue the sequences backwards to the previous 3 terms:
7, 10, 13, 16, 19, …
15, 18, 21, 24, 27, …
1, -2, -5, -8, -11, …
What do you notice?
The first two sequences come from a multiplication table shifted up. Which […]
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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