EMM111

1
Yelena MartinLeap Frog

• EMM111
• Maths Investigation,
• Assignment 2

It is not the answer that is important, but the
process at which you go through
2
The Investigation

• On a row of five spaces there are four counters,
  two red and two blue.
• The counters can move one space, left or right
  into vacant spot or jump one counter into a
  vacant spot.
• CHALLENGE Using these rules can you get the red
  counters in the blue counters spot and vice versa
  in the least amount of moves.

3
Moves.

• One space left or right
• Leap one counter left or right

4
Plan of Attack

• At first we made up a board (this was later
  extended to have more boxes)
• Let us have a hands on visual of what we were
  working with.
• Then started drawing out what we came up with
• After many tries settled on 8.

5
What if (paths taken)

• What if there were more counters and therefore
  spaces?
• What if the counters could jump more than one
  counter at a time?
• What if they were numbered instead of coloured?

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1. More counters..

• Same idea
• Original Idea
• Soon found to be wrong

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Formula Discovered
c/m c 2
c (c 2) m
Note In formula c is the amount of counters for
EACH colour.
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2. Longer Jumps

• 1st Jumping 2 counters.

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2.

• 2nd Jumping as manyas wanted.

Note The amount of moves is one more then the
total amount of counters.
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3. Numbered Counters

• Is there a pattern?-Add more counters.
• What if they could jump more than one?
• Does the same idea/way work effectively each
  time?

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3.

• Kept trying to get less
• Used same ideafor each one
• Moved into excel,to keep data neater

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3. What if they could jump more than one?

• Started with 4 and added more
• Then took away counters
• Found a pattern
• 3,3,6,6,9,9etc.

NOTE E-Portfolio Situated on the Curriculum and
Assessment to show my understanding of Maths
Investigation.