F1 Fractions

'Visualise the numerical fractions to fill the hole in the race track, then estimate the size of the hole, using Excel, to win the race' 

The activity is a race (but can be played collaboratively instead) to find the pieces of pie that will fit together to fill the "holes" in the race track. The activity aims to give a conceptual, visual representation of some numerical fractions e.g. begin mathsize 10px style bevelled 3 over 7 space a n d space bevelled 1 fifth end style and of how they combine together to make larger pieces of pie! Enter estimates of the total fraction in the Excel spreadsheet to proceed onto the next obstacle in the race and see how good your numerical understanding of these visual representations is.

See this video below for an overview of the activity in action:

F1 Fractions

Resources

Decide who goes first, or chooses which car they want to race, in this Geogebra (free software): F1 Fractions Race (not F1 cars, but it is the US Monticello F1 racetrack!). See rules of the game in "Description" section below.

Once you have "filled" the hole in the race track with the correct two pieces of pie, you have to check your answers in this Excel Spreadsheet:  F1 Estimations. You are not allowed to move on to the next obstacle until your estimation falls between the boundaries in Excel!
The detailed rules can be viewed in the "Description" section below:

Description

It's probably best to start by looking at the video above to see an overview of this activity.

F1 Fractions Race
  • Choose which player has what car and who is going first (names out of a hat, "rock, paper, scissors" or roll a die perhaps?).
  • You take it in turns to speed along the racetrack. Each turn you will arrive at an obstacle. You have 30 seconds or one minute (your teacher will decide which) to find which two (and only two) pieces of pie (lying around the sides of the track) fit perfectly the piece of pie that is blocking the track.
  • If you do not manage to find the two pieces within the time given, your turn is over, you cannot pass the obstacle, and your partner takes their turn.
  • If you do successfully "fill" the hole, you then have to estimate what is the size of the fraction in front of you on the track (30 seconds) and enter your estimate into Excel.
  • Excel tells you whether or not your "estimate" falls within reasonable upper and lower bounds of the actual fraction. If it doesn't, and returns the words "try again!", your turn is over, you do not cross the obstacle, your partner takes their turn. You will have to try to make a more accurate estimate on your next turn!
  • The first driver to cross all 8 obstacles successfully (find the correct two pieces to cover each obstacle and estimate accurately the size of the total fraction) wins.
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