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 […]
These counting games lead to an understanding of multiples and common multiples, number patterns and the Seive of Eratosthenes to find prime numbers.
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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 many sticks would you need to make the 10th pattern?
What about the 100th pattern?
How do you know?
How many rectangles can you make with perimeter 12 units?
What do you know about rectangles? What is the smallest rectangle that you can […]
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.
Describe and explain this pattern.
Download this sheet and shade in the patterns of the multiples.
Why do you think that in each pattern […]
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 […]
What do you notice about this shape?
Describe the shapes of the tangram pieces.
What is the same and what is different about the shapes of the tangram pieces?
Make a pattern of your own using all 7 pieces.
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 […]