On Thursday 9th and Friday 10th January, 5PB put their investigative hats on during our inspirational maths days and this is what happened…
We had a fantastic 2 days of exploring maths and carried out the following investigations and challenges:
Our task was to make the totals (1-20) using four fours and any operation.
We used BODMAS to ensure our calculations were carried out in the correct order.
Archimedes, a well known Ancient Greek mathematician, created the Archimedian spiral: a spiral where the gaps between the curves of the spiral are always the same distance apart (based on a set of concentric circles).
We used this as a basis for creating our own spirals using colouring pencils.
In this challenge, we were asked to draw an 11cm by 13cm rectangle and find the fewest number of squares that could be drawn inside it.
A card with a certain number of black dots was flashed up in front of the whole class.
We were asked, firstly, how many dots we saw and secondly, most importantly, what arrangement had we seen the dots in? This proved to us that we all see patterns and numbers differently; we all have different maths brains!
Stairs to Squares
We were shown a growing pattern of squares, each arranged in a stair-like structure. Firstly, we needed to calculate the area and perimeter for each 'figure' and then see if we could spot a link between the figure number and it's area and perimeter.
We were then asked to see if we could work out a rule which would help us find the area/ perimeter for the 10th figure and even the 1000th!
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