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"Lesson Activities"
GRADE 4 DATA HANDLING
GRADE 5 DATA HANDLING
GRADE 6 PROPERTIES OF 2D SHAPES
GRADE 7 GEOMETRIC CONSTRUCTIONS
GRADE 8 NUMERIC AND GEOMETRIC PATTERNS
GRADE 9 NUMERIC AND GEOMETRIC PATTERNS
GRADE 10 EQUATIONS
GRADE 11 NUMBER PATTERNS
GRADE 12 EXPONENTIAL AND LOGARITHMIC FUNCTIONS
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Complete the calculations in the first list. Then use your answers to find the numbers to fill the boxes in the second list.
What do you notice about the connections between the equations: ☐ × 8 + 1 = 9 etc. and the calculations: (9 – 1) ÷ 8 […]
Radio and TV stations broadcast from high towers. Their signals are picked up by radios and TV’s in houses within a certain radius. Because the Earth is spherical, these signals do not get picked up beyond the point of contact of the near horizontal tangent line as illustrated in the sketch.
What is the […]
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 […]
ADHK is a square of side length 12 cm
AB = BC= CD = AE
BE is parallel to CF
EI is parallel to FJ
GE is parallel to AD
Can you find the side lengths of the different shapes?
Justify your answers.
The area of JGK is 20 cm².
Can […]
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 […]
Three quarters of the area of the rectangle has been shaded.
What is the value of x?
Click here to download the USE AREA TO FIND x worksheet.
Click here for the Notes for Teachers.
You are going to investigate quadrilaterals that have inscribed circles as shown in the diagram.
Draw a circle with any radius you choose, and then draw 4 tangents making a quadrilateral with the circle inside touching the quadrilateral at 4 points.
Measure the edge lengths of the quadrilateral ABCD.
What do you […]
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 […]
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