**toni**

## NA5 GROWTH AND DECAY – FINANCIAL MATHEMATICS

*By toni On 28 August, 2018 · Leave a Comment*

This workshop guide provides learning activities that explore the ways in which arithmetic and geometric series are used in simple and compound interest calculations related to loans (including pay-day loans) , investments, annuities, hire-purchase, inflation etc. and there is an explanation of how APR is calculated. Ideas are given for practical ways […]

## GT6 TRIGONOMETRIC IDENTITIES AND EQUATIONS

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

This workshop reviews reduction formulae in terms of rotations and reflections. It offers learning activities that involve sorting and solving trigonometric equations and finding general solutions, or solutions within a

given domain, using known identities and graphical or unit circle representations. Suggestions are given organising group activies and learners presenting and explaining their ideas […]

## NA1 NUMBER SYSTEMS AND SOLVING EQUATIONS

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

This workshop guide reviews the number systems that learners have met and expands number concepts to include complex numbers. Learning activities involve matching graphs to linear and quadratic equations and their solutions within different number systems.

There is discussion of the historial evolution of mankind’s concepts of number and parallels are drawn […]

## Grades 4 to 7 Two by Two Puzzle

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

Can you find numbers to replace the ? marks to solve this two by two multiplication puzzle?

Can you explain how it works?

How does the diagram below connect with the multiplication?

Use the two grids below to do the two multiplications:

72 × 25 and 50 […]

## Grades 10 to 12 SUM ON

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

The sum of the first 48 terms of anarithmetic 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 […]

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