**"Lesson Activities"**

## November 18 Lesson Activities to Develop Understanding and Skills

*By toni On 17 November, 2019 · Leave a Comment*

Grade 4 PROBABILITY

Grade 5 PROBABILITY

Grade 6 PROBABILITY

Grade 7 PROBABILITY

Grade 8 PROBABILITY

Grade 9 PROBABILITY

Grade 10 PROBABILITY

Grade 11 STATISTICS

Click on the ADVANCED SEARCH to find lesson activities on a topic of your own choice:

(1) Select Upper Primary or Lower Secondary […]

## Years 9 – 12 Differences of Squares Investigation

*By toni On 15 November, 2019 · Leave a Comment*

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 […]

## Years 7 – 9 Use area to find x

*By Elizabeth Turok On 11 November, 2019 · Leave a Comment*

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.

## Years 10 – 12 Circle Inscribed in Quadrilateral

*By Barrie Barnard On 23 October, 2019 · Leave a Comment*

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 […]

## Years 10 – 12 Construct Geometrical Patterns

*By toni On 21 October, 2019 · Leave a Comment*

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 […]

## Years 10 – 12 Graphing Quadratic Equations

*By Kwethemba Moyo On 15 October, 2019 · Leave a Comment*

Graph $y={ x }^{ 2 }-2x-1$ .

1. What type of an equation is this?

2. Remember the general form of an equation of this nature: $y={a x }^{ 2 }-bx-c$

When $a > 0$ the graph is $\cup$ shaped and when $a < 0$ it is $\cap$ shaped. What is the situation in our problem?

[…]

## Years 6 – 8 The Circle and The Square

*By Elizabeth Turok On 8 October, 2019 · Leave a Comment*

Which is longer, the dashed portion of the square or the circumference of the circle?

Explain your reasoning.

Click here for teacher’s notes

## Years 2 – 10 30-minute Fractals Lesson and Follow Up

*By toni On 16 September, 2019 · Leave a Comment*

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 […]

## Years 7 – 12 Squareflake Fractal

*By toni On 14 September, 2019 · Leave a Comment*

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 […]

## Years 10 – 12 Quadratic Equations

*By Kwethemba Moyo On 14 September, 2019 · Leave a Comment*

John plans to get the minimum possible Diamond Razor Mesh fencing material, as a security measure to discourage entry into his dam. He finds out that the rectangular shape drawn around the dam picture can help. The dimensions are given in algebraic form, in metres. Find an expression for the area of this […]

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