Posts by: toni
1. Which one of the graphs represents the function $f(x) = \frac{1}{x}$?
The table below has been jumbled up. Match the graphs labelled f1 to f9 to their equations in the table below and to the descriptions of the transformations of $f(x) = \frac{1}{x}$
Download the worksheet, cut up a copy of […]
GRADE 4 DATA HANDLING
GRADE 5 DATA HANDLING
GRADE 6 PROPERTIES OF 2D SHAPES
GRADE 7 GEOMETRIC CONSTRUCTIONS
GRADE 8 EXPONENTS
GRADE 9 EXPONENTS
GRADE 10 NUMBER PATTERNS
GRADE 11 EQUATIONS AND INEQUALITIES
GRADE 12 INVERSE FUNCTIONS
Click on SEARCH to find lesson activities on a […]
This is a game for two players. It requires a lot of thinking and strategic play.
Each player has 5 counters, bottle tops, buttons or stones that look different from the counters used by the other player.
To win the player must be the first to get his or her 5 counters […]
1. What do you see in this picture?
Give a proof linked to this picture of the formula $a^2 – b^2 = (a + b)(a – b)$ .
2. What do you notice about the difference between squares of consecutive numbers?
Compare the differences between squares of numbers that differ by 1 […]
1. ENVELOPE PATTERNS WITH STRAIGHT LINES
These straight lines form a family and the curves that you see, called envelopes, are tangent to each line in the family.
Draw two base lines and mark the same number of points at equal distances along each line. Join the outermost point on one base […]
Start by watching the video https://youtu.be/B2dkNPaTmDY
Each student should have a stage 3 Sierpinski triangle of edge length about 6.5 cm and a colouring pen, and should colour their triangle as shown by the black filling in the small diagram.
The class will make poster of a stage […]
1. If the red square has area 1 square unit. What is the area enclosed by the stage 1 squareflake?
2. What is the area enclosed by the stage 2 squareflake? What about the stages 3 and 4 squareflakes?
3. If replacing each line segment on the edge with the zig-zag is […]
The curve, also known as the ‘snowflake curve’, was invented in 1904 by the Swedish mathematician Helge von Koch.
Take a large piece of backing paper, and either draw an equilateral triangle with edges of length 27 cm or cut a triangle from coloured paper and stick it on […]
In March 2014 and February 2015 Bubblz the Mathematical Clown and the Pyraloons built Guinness World Record breaking Balloon Model Sierpinski Pyramids to raise funds for AIMSSEC. The photo shows the triumphant team in a shopping mall in Cambridge, UK and their 6.5 metre high pyramid.
The smallest pyramid is made from […]
Image starting with an equilateral triangle and replacing each edge by a zig-zag curve made up of 4 pieces. Each of the 4 pieces is one third of the length of the line segment it replaces so it looks as if equilateral triangles have been attached to the shape. Now imagine repeating […]
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