**"Straight line graphs"**

## UPPER SECONDARY FC2 LINES, CIRCLES AND TANGENTS

*By toni On 12 August, 2018 · Leave a Comment*

A sequence of activities in this guide takes you from familiar ideas about lines, then emphasises the ‘across’ and ‘up’ aspect of gradient to explain why the product of gradients of perpendicular lines is -1, then uses Pythagoras Theorem to produce the equations of circles and recaps on properties of perpendicular lines […]

## UPPER SECONDARY NA3 STRAIGHT LINE GRAPHS AND SIMULTANEOUS EQUATIONS

*By toni On 10 August, 2018 · Leave a Comment*

Starting with real experiences like guessing the numbers on two cards from clues such as “the numbers add up to 20 and one number is three times the other number” learners progess to illustrating the clues by drawing straight line graphs, writing down simultaneous equations and learning formal algebraic methods to solve […]

## Grades 10 to 12 Swop

*By toni On 21 April, 2018 · Leave a Comment*

(1) You are blindfolded. The audience tells you the number in Box B and you can immediately say the numbers in box C and box A.

How is this trick done?

Can you make the trick more impressive?

You can change the x 6 and + 5 to other operations and numbers […]

## Grades 8 to 10 GRAPHICAL TRIANGLE

*By toni On 16 November, 2016 · Leave a Comment*

What is the area, (in square units) of the triangle formed by the three lines whose equations are: y − x = 6, x − 2y = 3 and x + y = 6?

This problem is adapted from the NRICH task Graphical Triangle with permission […]

## Grades 7 to 9 Lattice Points

*By toni On 6 November, 2016 · Leave a Comment*

A point whose x- and y-coordinates are both whole numbers is called a lattice point.

How many lattice points are there in the first quadrant (where both x and y coordinates are positive) that lie on the line 3x + 4y = 59?

Find these points. How many different methods can you think of to […]

## Grades 7 to 9 Odd One Out

*By toni On 28 October, 2016 · Leave a Comment*

If three of the four expressions: 2x – 3 and x + 8 and 2x + 3 and 30 – x are equal, find their value and which expression is the odd one out.

Copy and label the diagram and explain the connection between the diagram and the first part of the […]

## Grades 7 to 9 Temperature

*By toni On 25 October, 2016 · Leave a Comment*

In some countries temperature is measured in degrees Celsius (originally called degrees Centigrade) and in other countries it is measured in degrees Fahrenheit.

The freezing point of water is 0 degrees Celsius and 32 degrees Fahrenheit.

The boiling point of water is 100 degrees Celsius and 212 degrees Fahrenheit.

Draw a graph […]

1. For each line fill in your answers to the following questions in the table below: (Line E has been done for you.)

(i) Write down the coordinates (0; c) of the point of intersection of the line with the y-axis (the y intercept).

(ii) Choose two points on the line . […]

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