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Olympics Mathematics - Fractions basketball for Year 2-4

Story:


Your basketball coach is wondering whether to keep you on or sub you out. So, coach runs trials and shooting accuracy is the number one priority for your team. How accurate are your shots?


Tools:

  • Scrunched-up post-it notes or pompoms as your basketballs.

  • A transparent cup as the basketball ring.

  • Rubber bands to mark the 'out of number/denominator' - how many shots per round.




Main event


The trial starts with 3 shooting positions. Try those, record the fraction you got in, then set up for the new round (4 shooting positions). Use rubber bands to mark each shooting position.


Warning: Don't stand too close to the ring, or coach will fail you for cheating! You cannot score two perfect rounds in a row, or you're out!


Pro tip: Use 'out of' language to describe your accuracy to your teammate after each round. "2 out of 3 shots are in, 1 out of 3 shots are out."


Year 2 student work sample


Extension 1: Add the fractions, since they have the same denominator. For example 2/3 in + 1/3 out = 3/3 balls thrown (2 out of 3 and 1 out of 3 is 3 out of 3 altogether).

Year 3 student work sample


Extension 2: If that round was worth $1, how much was each shot worth? For example, during the 5-shot round, each ball in would be worth 20c, or 20% (note the connection between the language cents and per cent as both are 'out of' 100), or $0.20 or 0.20 or 0.2. Record the percentage and decimal as well as the fraction.

Year 3 extension student work sample


Extension 3 (extreme): Work out the accuracy level with two fractions with different denominators. For example, round A was 1/3 and round B was 2/4. Recommend using a fraction wall.

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