**"Number patterns"**

Can you find the chosen number from this square using the clues below?

1. The number is odd.

2. It is a multiple of three.

3. It is smaller than 7 x 4.

4. It has an even tens digit.

5. It is the greater of the two possibilities.

[…]

## LOWER SECONDARY A2 SEQUENCES AND PATTERNS

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

How to use beans, stones and other objects to form pattern sequences and to develop an understanding of algebraic formulas.

Click here to download a PDF with all you need to run your own professional development workshop.

## Grades 4 to 7 Magic of 37

*By toni On 21 November, 2017 · Leave a Comment*

First complete the number sentences by putting = + – x or ÷ in the boxes. Then explain why the pattern occurs.

Explore the pattern you get when you carry on these multiplications up to 37 × 54.

Click here for the Notes for Teachers.

Inspired by Jain www.jainmathemagics.com

## Grades 4 to 7 Magic Numbers

*By toni On 5 November, 2017 · Leave a Comment*

What patterns do you see in them?

Suppose you have to share 9872 gold coins between 8 people.

You give the coins out in thousands until there are less than 8000 left.

Then you give out one hundred at a time until there are less than 800, then […]

## Grades 6 to 9 TIMES NINE

*By toni On 13 October, 2017 · Leave a Comment*

Complete the calculations in the picture.

What do you notice?

To explain how the patterns of numbers arise:

Either multiply by (10 – 1) instead of multiplying by 9

or use the table below, first completing the calculations on each line.

## Grades 6 to 8 Beautiful Numbers

*By toni On 5 October, 2017 · Leave a Comment*

Work out the different numbers to replace the question marks.

What do you notice about the patterns in these calculations?

Can you explain why this pattern occurs?

## Grades 6 to 9 Prime Sieve

*By toni On 5 October, 2017 · Leave a Comment*

On the 100 square grid (download here):

Circle the number 2. Put a line through every multiple of 2 up to 100.

Circle the number 3. Put a line through every multiple of 3 up to 100.

Circle the number 5. Put a line through every multiple of 5 up to […]

## Grades 5 to 8 Multiple Patterns

*By toni On 5 October, 2017 · Leave a Comment*

Describe and explain this pattern.

What do you think the patterns for other multiples look like, for example multiples of 2 or 3 or 4 or 5?

Download this sheet and shade in the patterns of the multiples.

Why do you think that in each pattern […]

## Grades 9 to 12 Squares Pattern

*By toni On 4 August, 2017 · Leave a Comment*

This square of squares pattern has edge length 5 squares. You could make this pattern with 48 matchsticks.

Work out the number of edge squares and the number of lines (matchsticks) needed to make the pattern with: side length 6 side length 25 side length 100 side length n.

Click here […]

## Grades 6 to 10 Special Sums

*By toni On 31 May, 2017 · Leave a Comment*

Imagine you have four bags containing a large number of 1s, 4s, 7s and 10s.

You can choose numbers from the bags and add them to make different totals. You don’t have to use numbers from every bag, and there will always be as many of each number as you need.

Choose some […]

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