Posts by: toni
The sum of the first 48 terms of an arithmetic series is 4 times the sum of the first 36 terms.
What is the sum of the first 30 terms?
The area of triangle PQR is 3√3 square centimetres. Angle PRQ is 60 degrees and RQ is 4 centimetres longer than PR.
Find the length of PQ.
Draw ΔPQR accurately.
Calculate all the angles in the triangle.
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 […]
Mathematical modelling and making real life connections is the focus of this guide. The use of tree diagrams in probability is developed starting with collecting data to model the numbers of boys and girls in families and the orders in which they occur. The connections between the underlying mathematics in these situatons, […]
The rectangles shown are the same area. Find the area.
Make up some similar questions of your own.
Click here for the Notes for Teachers
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 […]
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