The lattice points are where the lines intersect. How many interior lattice points do your lines go through?
Draw more grids. Before you draw the diagonals, can you predict how many lattice points they will go through? How do you know?
A point whose […]
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 . […]
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 […]
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 […]
(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 […]
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?
Lick here to download the GRAPHICAL TRIANGLE worksheet
Click here for the Notes for Teachers.
This […]
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 […]
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 […]
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