Posts by: toni
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 […]
Take a sheet of A4 paper. First fold the top left corner to meet the bottom edge and press the fold flat. Then fold the top right corner to meet the edge that you folded down.
Can you prove that the quadrilateral you have made is a kite?
Can you find the perimeter of the […]
Practical activities like shaking hands, taking 2 books from a shelf and drawing the mystic rose pattern lead to understanding how to find the sum of a series and how and why different methods lead to the same result. These activities give learners the opportunity to develop logical thinking, and problem solving […]
On Monday Dolly, Kapa and Lolo cut a pizza into equal sized pieces and share the pizza in the ratio 4 : 3 : 5. This means that there were 12 pieces and Dolly ate one third, Kapa ate one quarter and Lolo ate five twelfths of the pizza.
On Tuesday they […]
The paper folding activities in this workshop guide provide experiences of discovering the properties of circles stated in seven basic theorems. Folding cut-out paper circles does not prove the theorems but it suggests recipes for the formal proofs. Teachers should do all the activities before using them in lessons even if they […]
Explain your findings about the four lines in this diagram and their gradients.
Match each sketch graph from column A below with a description and a fact about gradients from the other two columns.
Click here for the Notes for Teachers.
The input to Function Machine 1 is x. Write down an expression for the output.
If the output is 7 what was the input?
In Function 2, a is constant. If the input is 4 what is the output?
The functions from Function Machines 1 & 2 are combined to give Function […]
The line LP with equation y + x – 2 = 0 is a tangent at L to the circle with centre M(-4 , 4).
LN is a diameter of the circle.
LP is parallel to NQ where P is on the x-axis and Q is on the y-axis.
What equations […]
The diagram shows a circle centre O with points P, Q, R and S on the circumference. UST is a tangent to the circle. Angle RPS = 44º and angle PSO = 32º.
Find angles xº and yº.
Click here to download the CYCLIC worksheet.
Click here for the […]
The graphs and some properties of seven quadratic functions are given here.
The equation of each function is given in three different forms.
Match the graph of each function with the matching equations and properties.
This activitiy is linked to Quadratic Matching 1 which you […]
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