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"Lesson Activities"
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 […]
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 […]
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.
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 notice?
Copy the table […]
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 […]
Which is longer, the dashed portion of the square or the circumference of the circle?
Explain your reasoning.
Click here for Teacher’s Notes
Click here for the poster.
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 […]
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