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We worked out that Ben’s first jump was 250cm and Mia’s first jump was 80cm.
We used division, multiplication, and addition to solve the problem.
First we halved last jump number. Mia’s last jump was 120cm, half of that is 60cm.
We halved the number then added on the half. That would mean that Mia’s last jump was 90cm, which wasn’t right.
We used a trial and improvement method. We chose round even numbers because it was much easier to find half.
If the last jump worked out as 75cm less than what we needed then we added 75cm to the first jump number and tried again. Example -
If the 1st jump was 200cm the last jump would be 300cm so we tried …
If the 1st jump 275cm then the last jump would be 412.5cm
That didn’t work but it did get us closer to the answer. As 275cm was too high, we tried 260cm, then 250cm.
We tried our own standing long jumps. Our best scores were -
Holly 110cm
Jordan 143cm
If we improved our scores by ½ again that would be -
Holly 165cm
Jordan 214.5cm
If we improved our scores by ¼ again that would be
Holly 137.5cm
Jordan 178.75cm
We folded the tape measure to help us work out ½ and ¼ of different lengths.