## Grade 12 Geometric Series

*By toni On January 12, 2017 · Leave a Comment*

The squares in the diagram are to help us visualise an infinite geometric sum and we are not summing the areas of the squares, simply the lengths along the x-axis. The squares have side lengths given by powers of r: where 0 < r < 1 .

## Grades 7 to 9 Making Six

*By toni On January 12, 2017 · Leave a Comment*

Insert signs and symbols to make each line a true equation.

Hint: You can use square roots and cube roots.

As an extension you could investigate the factorial sign on your calculator and use factorials to answer the same questions for 0 0 0 = 6 and 1 1 1 = […]

## Grades 10-11 Financial maths

*By Ben Walker On January 9, 2017 · Leave a Comment*

Comparing investments: there are six investments. Find all the representations (description, formula, graph and table of values) of a single investment. After this, work out which statement fits with which investment.

The teacher leads a very short discussion about the different types of investments, reminding the learners about simple and compound interest. He or […]

## Grades 10-12 Distance-time graphs

*By Ben Walker On January 9, 2017 · Leave a Comment*

This lesson is about moving between different representations of distance-time functions, namely between graphs, stories and tables. This activity should be given to the class as a formative assessment activity: it is designed to provide the teacher with information about the learners’ current levels of understanding.

During a short introduction the teacher displays a […]

## Grades 8-10 Interpreting Equations

*By Ben Walker On January 9, 2017 · Leave a Comment*

This lesson is about moving between algebraic equations and the statements that they represent. This activity should be given to the class as a formative assessment activity: it is designed to provide the teacher with information about the learners’ current levels of understanding.

During a short introduction the teacher emphasises the importance of defining […]

## Grades 5 to 10 – The answer is 2017, what is the question?

*By toni On December 28, 2016 · Leave a Comment*

You can be a creative mathematician, you can be someone who has your own mathematical ideas.

Find your own interesting facts about 2017 and calculations that have the answer 2017.

You might think of calculations like: 20 x 101 – 3 = 2017

or more complicated ones …

What different questions can you find […]

## Grades 4 to 8 How many sums?

*By toni On December 28, 2016 · Leave a Comment*

1000 + 1017 = 2017. How many other ways can you put positive whole numbers into the boxes to make the sum correct?

Explain your answer.

## Grade 10 Peaches

*By toni On December 17, 2016 · Leave a Comment*

Story 1 A generous little monkey had some peaches.

On the first day he gave half his peaches away and ate one.

On the second day he gave away half of the rest and ate one.

On the third day he gave away half of the rest and […]

## Grades 10-12 Multiple representations of algebraic relationships

*By Ben Walker On December 8, 2016 · Leave a Comment*

This lesson is about

different representations of algebraic relationships, namely equations, graphs, tables and words. This activity should be given to the class as a formative assessment activity: it is designed to provide the teacher with information about the learners’ current levels of understanding.

After a short introduction, during which the teacher models […]

## Grades 8-10 Increasing and decreasing quantities by a percentage

*By Ben Walker On December 6, 2016 · Leave a Comment*

This lesson is about different representations of number: percentages, decimals and fractions. It particularly emphasises that percentage and decimal increases and decreases are not mirrored whereas fraction increases and decreases are.

After a short introduction, during which the teacher asks students questions about amounts increasing or decreasing by 50%, 100% or 200%, […]

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