**"Lesson Activities"**

## February 24 Lesson Activities to Develop Understanding and Skills

*By toni On 21 February, 2020 · Leave a Comment*

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

Click on […]

## Years 7 – 11 More Magic Numbers

*By toni On 20 February, 2020 · Leave a Comment*

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 […]

## Year 11 – 12 Applying the Tangent Theorem

*By Barrie Barnard On 20 February, 2020 · Leave a Comment*

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 […]

## Year 12 Matching Hyperbolas

*By toni On 19 February, 2020 · Leave a Comment*

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 […]

## Years 7 – 10 What’s the Area?

*By Elizabeth Turok On 18 February, 2020 · Leave a Comment*

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 […]

## Five in a Line Game

*By toni On 10 December, 2019 · Leave a Comment*

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 […]

## 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 […]

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