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 […]
A sequence is defined by the formula an = n2 – 2n + 1.
(a) Calculate the first 8 terms of the sequence.
(b) Calculate the first difference between the terms.
(c) Calculate the second difference between the terms.
(d) What can you say about the results you obtained?
Please click Guide for Home […]
1.1 The square grids below the continuous line depict negative numbers and those above the line positive numbers. Study the square grids shown above with black squares forming a pattern. How is the pattern growing? Create square grids 9, 10 and 11; complete them with black squares to further develop the […]
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 […]
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 […]
Start to explore ideas of Fibonacci numbers and the golden ratio by copying the picture and drawing this spiral. Watch this inspirational video.
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.
Continue Reading →
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 […]
Click here to download a PDF with all you need to run your own professional development workshop.
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?
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 […]