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Graffiti Maths 22nd June 2018
Tumbling Down
I can use enquiry skills
Q1) What do you notice?
• Every time it shrinks more sections appear.
• The fraction grid starts with 21 sections and travels down to 12 sections.
• If you looked at it from a birds eye view before it shrinks it would look identical to the end.
Q2) What do you know?
I know that the fraction wall starts with 1/6, 1/5 then ¼, 1/3 then ½ then to one whole. Also as you go up the wall the denominators are getting bigger but the fractions are getting smaller.
Q3) How many vertical lines are there at the start?
At the beginning there are 15 vertical lines excluding the sides but 17 including the sides.
Q4) How many vertical lines are there at the end?
At the end there is 11 excluding the sides and 13 including the sides.
Q5) Which lines “fall into” others?
Equivalent fractions will fall into other equivalent fractions e.g.: 2/6 will fall into 1/3 because they are equivalent.
Q6) Explain why.
Because they are equivalent.
Q7) Focus on the starting image, how will you add to the pattern?
I tried putting 7ths on the wall and I noticed that it wouldn’t submerge to any others because it is not equivalent to any others so when it gets to the end it will be its own line.
My solution for the tumbling down is:
On the wall you need equal fractions to fall into other equal fractions, but when I added the 7ths it wouldn’t fall into any others because it’s not equivalent to any other fraction. If you wanted to add another unequivalent fraction you would have to go up to 11ths because 1/9 falls into 1/3 and 1/10 fall into 1/5. And also 7 and 11 are prime numbers.