## Grades 10 to 12 SUM ON

*By toni On 25 August, 2018 · Leave a Comment*

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?

## Grades 11 and 12 Solve the triangle

*By toni On 18 August, 2018 · Leave a Comment*

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.

## 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 D3 CHILDREN IN FAMILIES

*By toni On 11 August, 2018 · Leave a Comment*

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, […]

## Grades 9 to 12 Same area

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

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

## 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 11 and 12 Kite

*By toni On 27 July, 2018 · Leave a Comment*

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 […]

## UPPER SECONDARY NA4 PROBLEMS LEADING TO SERIES

*By toni On 26 July, 2018 · Leave a Comment*

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 […]

## Grades 8 and 9 Pizza

*By toni On 22 July, 2018 · Leave a Comment*

On Monday Dolly, Kapa and Lolo cut a pizza into equal sized pieces and share the pizza in the ratio 4 : 3 : 5. How many pieces were there and what fraction did each person get?

On Tuesday they buy a pizza of the same size and share it in the […]

## UPPER SECONDARY G3 CIRCLE THEOREMS

*By toni On 22 July, 2018 · Leave a Comment*

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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