## Grades 8 to 10 Differences of Squares

*By toni On October 25, 2016 · Leave a Comment*

What do you see in this image? What is the area of the bigger square edged by dotted lines? What is left if you take away a square with sides of length b? What can you deduce from this?

How many numbers between 1 and 30 can you express as the […]

## Grades 7 to 9 Partitioning

*By toni On October 23, 2016 · Leave a Comment*

Explain how the diagrams show how to work out 13 times 13 and (x+1) times (x+1).

Draw similar diagrams for 15 times 15 and (x+2) times (x+2).

Draw your own diagrams and use the same method to find the algebraic expressions for and and work out the expansion […]

## Grades 7 to 10 Best Representation

*By toni On October 18, 2016 · Leave a Comment*

The ages of children arriving at a zoo in 1 hour are noted by the ticket salesman. There are 12 children between 0 and 3 years old, 14 children between 4 and 10 years old and 48 between 11 and 18 years old.

He draws a bar graph or frequency diagram to represent this […]

## Grades 7 to 10 Match the Matches

*By toni On October 18, 2016 · Leave a Comment*

Two teams Alpha United and Beta Rovers have each played 15 matches.

The data shows how many goals the teams scored in their matches.

There are six sets of data, three showing the results for Alpha United and three for Beta Rovers.

Match the data to the teams and explain your answers.

See the […]

## Grades 9 to 12 SA Demographics

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

The table gives the 2013 population statistics for South Africa.

Complete the table and draw a histogram to represent this data. Comment on the distribution.

Remember that for a histogram the area in each column represents the frequency for that class.

You can see that almost half the population is under 25 years old. […]

## Grades 7 to 10 Histogram

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

The histogram shows the number of children in each age group on a school bus. There are no children under 5 years and no children over 17 years. There are 6 children aged between 5 and 10 years . Explain why the class boundaries are 5, 11, 16 and 18. Complete the following table. […]

## Grade 7-10 Powerful Thinking 1

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

What patterns can you see in the last digits for these numbers?

Can you explain why all these numbers are multiples of 5?

What about the 99th powers ?

What can you find out about ?

What other patterns with powers can you find that have special properties?

Click here for […]

## Grades 8 -10 Powerful Thinking 2

*By toni On September 16, 2016 · Leave a Comment*

Will the first number be a power of 10 for any value of n?

What can you say about the values of n that make the second number a power of 10?

Are there any other pairs of integers between 1 and 10 which have similar properties?

Click here for Notes […]

## Grades 9 and 10 Powerful Thinking 3

*By toni On September 15, 2016 · Leave a Comment*

1. Imagine the first number is written out in full. How many zeros would there be at the end? Why? Can you find the answer without doing the whole calculation?

2. Work out a few values of the second number with n = 1, 2, 3 and 4 . Can you show numbers […]

## Grades 10 Powerful Thinking 4

*By toni On September 14, 2016 · Leave a Comment*

Is this number divisible by 5?

Investigate other big powers?

Make up some similar numerical expressions involving powers that have interesting properties.

What about

?

Click here for Notes for Teachers.

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