Learning Outcomes
- Use direct and indirect measurements and describe the concept of ratio and percentages.
- Understand direct and indirect methods and use the concept to find the ratio and percentages for comparing player’s performances in the game.
- Understand the concept better by applying the knowledge to basketball game and get the concepts concrete.
- Develop and calculate simple ratios and find percentages of different quantities.
- Using the concept of percentage to find missed shots of a player while on the court to evaluate their performance.
- Deepen students’ understanding of key math concepts like ratio and percentages..
- Bending, stretching and free throw
- Develop measurement skills and sportsmanship – values that are critical on the court and in the classroom.
Description Of Activity
How to Play
- Averages-Mathematics plays a huge role in determining the various statistics that define a player's performance on the basketball court. When calculating a player's points per game average, take the total number of points scored by the player in all games and divide this number by the total games the player has participated in. Statistical categories such as rebounds, assists, blocked shots, steals and minutes played per game are also calculated this way.
- Ratios-One of the most important numbers that coaches look at is a players turnover to assist ratio. This is especially important for guards that are charged with the responsibility of running an offense. The ratio is determined by taking the number of assists a player averages and comparing this total to the players' number of turnovers per game. For instance, a player that averages 9 assists per contest and 3 turnovers has an assist to turnover ratio of 3 to 1, which is consider excellent.
- Percentages-Field goal shooting percentages are calculated by taking the number of shots a player makes and dividing that total by the number of shots attempted. Any shooting percentage near 50 percent is considered very good. Accordingly, a player that hits 11 shots on 20 attempts has a shooting percentage of 55 percent or .550. Free throw shooting percentages and 3-point field goal percentages are also computed in this manner.
- Strategy-Mathematics comes into play in close games. A coach will elect to foul players with poor free throw shooting percentages in the final minutes if his team is trailing in hopes of the player missing the foul shots and allowing his team to get the ball back and score. In the NBA, a 24-second shot clock forces a team to shoot the ball at the end of a quarter, which can determine whether or not the team will get the ball back with any time left on the clock. Consider a team that gains possession of the ball with 42 seconds left in a quarter. Doing the math, they know that if they shoot the ball any time after 18 seconds has gone off the clock, the other team can hold the ball for a last shot because there will only be 24 seconds left in the quarter. Some teams opt to shoot quickly, knowing that even if the other squad uses its entire 24 seconds to shoot, there will still be time left for them to get in a last shot.
How to conduct the activity:
- Mark a throw line 10 steps away from the basket. Each student has to stand at the throw line while throwing.
- Each student gets 10 turns to throw the ball into the basket.
- After each turn students should record successful and unsuccessful attempts in the form of a chart.
- Now ask them to use this chart to find successes and failures ratio. For example, if he had 6 successful attempts, his success ratio is 6 out of 10, while his failure ratio is 4 out of 10.
- The next step is to ask them to convert this ratio into decimal
- form. The decimal form for his successful and unsuccessful attempts will be respectively 0.6 and 0.4.
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- After that they can calculate the percentage of the successful and unsuccessful attempts.
- Each student will declare the results that they have got.
- This fun ratio activity will help students to understand ratios and percentages better by applying the concept to everyday life.
Variations
- They can be encouraged to try out this activity by increasing/decreasing the number of turns. Also they can make teams to play the same and then calculate the ratio and percentage of successes and failures.
- They can try out other games as well like football, volleyball, cricket etc.
Coaching Tips
- Making the throw line will teach them making straight lines.
- Ask them: if student 1 has 6/10 success and student 2 has 5/10. If student 2 is given one more chance to throw and he was able to throw successfully, then are the ratios equal for both the students? Ask them if both ratios are equal.
Equipment/Material Required
Measuring tape, basketball, basket and chalk(to draw throw line)