**"Sequences"**

## Years 7 to 12 Squareflake Fractal

*By toni On 14 September, 2019 · Leave a Comment*

1. If the red square has area 1 square unit. What is the area enclosed by the stage 1 squareflake?

2. What is the area enclosed by the stage 2 squareflake? What about the stages 3 and 4 squareflakes?

3. If replacing each line segment on the edge with the zig-zag is […]

## Years 4 to 10 Make a von Koch poster

*By toni On 12 September, 2019 · Leave a Comment*

The curve, also known as the ‘snowflake curve’, was invented in 1904 by the Swedish mathematician Helge von Koch.

Take a large piece of backing paper, and either draw an equilateral triangle with edges of length 27 cm or cut a triangle from coloured paper and stick it on […]

## Years 8 – 12 Elephant Dreaming

*By toni On 3 July, 2019 · Leave a Comment*

Copy the picture to draw this spiral. Then create your own elephant. The numbers in the centres of the squares give the radii of the quarter circles that you need to draw.

What do you notice about this sequence of numbers 1, 1, 2, 3, 5, 8, 13, 21 … ? […]

## Years 4 to 12 Table of Tables

*By toni On 3 July, 2019 · Leave a Comment*

What patterns do you notice in this table?

Continue the patterns to fill the empty squares.

Write a list describing all the patterns that you see.

What do you notice about the numbers on squares of the same colour?

Would the patterns […]

## 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 5 to 9 Equipattern

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

Copy this pattern. You could use toothpicks or paper sticks or draw the pattern on isometric paper (download here).

Make or draw the next 3 patterns in the sequence. How would you explain to someone else on the telephone how to do this when you could not point to the diagram?

[…]

## 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 7 to 12 Mystic Rose

*By toni On 24 February, 2017 · Leave a Comment*

What can you see in this diagram?

Could you draw it? Could you draw a similar diagram with just 5 or 6 points around the outside? Try it?

How many lines are there in your diagrams? How many lines are there in the original diagram? Can you find a way of working out […]

## Grades 7 to 9 Shifting Times Tables

*By toni On 13 November, 2016 · Leave a Comment*

Count in 4’s to give the 4 times table: 4, 8, 12, 16, 20, … 80, 84, 88, …

Now shift the 4 times table up 3 to give 7, 11, 15, 19, 23, … 83, 87, 91, …

Which tables were shifted to give the following sequences? By how much? Explain […]

## Grades 7 to 9 Steps

*By toni On 5 November, 2016 · Leave a Comment*

Continue these sequences for the next three terms and continue the sequences backwards to the previous 3 terms:

7, 10, 13, 16, 19, …

15, 18, 21, 24, 27, …

1, -2, -5, -8, -11, …

What do you notice?

The first two sequences come from a multiplication table shifted up. Which […]

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