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Understanding Game Goals and Solving Equations in Sports and Finance

This text explores the main objectives in different sports—football, basketball, and baseball—highlighting the core goal of scoring. It draws parallels between sports and mathematical problem-solving, particularly in solving equations related to invitations and expenses. Through various examples, it illustrates how to manipulate equations to find unknown values, reinforcing the importance of rules and processes in both sports and mathematics, emphasizing the structured approach required in both fields.

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Understanding Game Goals and Solving Equations in Sports and Finance

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Presentation Transcript

  1. Warm Up October 31, 2011 What is the main goal in a football game? What is the main goal in a basketball game? What is the main goal in a baseball game?

  2. Warm Up October 27, 2011 What is the main goal in a football game? TO SCORE A TOUCHDOWN What is the main goal in a basketball game? TO MAKE A FIELD GOAL What is the main goal in a baseball game? TO SCORE A RUN

  3. To score a touchdown, field goal, or run, all players must follow the… RULES!

  4. Solving Equations Solve for n n – 8 = 20 + 8 +8 n = 28 Solve for n n ÷ 7 = 8 *7 * 7 n = 56 Just like in a game of sports… there’s a goal there are rules You are writing invitations to a party. It takes your four minutes to complete each invitations. Write an equation for finding n, the number of invitations you can complete in one hour. 4n = 60 ÷4 ÷ 4 n = 15 invitations

  5. Solving Equations Solve for n n – 8 = 20 + 8 +8 n = 28 Solve for n n ÷ 7 = 8 *7 * 7 n = 56 Solve for n 3n – 8 = 19 2n + 3 = 13

  6. Solving Equations Check 3(9) – 8 = 19 27 – 8 = 19 19 = 19 Solve for n 3n – 8 = 19 +8 +8 3n = 27 ÷3 ÷3 n = 9

  7. Solving Equations Check 2(5) + 3 = 13 10 + 3 = 13 13 = 13 Solve for n 2n + 3 = 13 -3 -3 2n = 10 ÷2 ÷2 n = 5

  8. Solving Equations Check 45 ÷ 3 +17 =32 15 + 17 =32 32=32 Solve for n n ÷ 3 + 17 = 32 -17 -17 n ÷ 3 = 15 x 3 x 3 n = 45

  9. Which process is done first? 5n + 7 = 23 ÷ 5 ÷ 5 5n + 7 = 22 - 7 - 7 5n = 15 ÷ 5 ÷ 5 n = 3

  10. Solve the following equations. 2n + 1 = 7 3y – 4 = 2

  11. Solve the following equations. c ÷ 3 - 7 = 5.3 32 = n ÷ 3 + 17

  12. Write an equation to solve… You pay $35 in dues to a photo club and $10 per roll you have developed. If you spend $225 during the year, how many rolls of film do you have developed? 10n + 35 = 225

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