"If a team is to reach its potential, each player must be willing to subordinate his personal goals to the good of

1. "If a team is to reach its potential, each player must be willing to subordinate his personal goals to the good of the team." ~ Bud Wilkinson • Turn and Talk to a peer about this quote and its relevancy to your own work. What does this mean to you? • Each team must have at least one representative to respond.

2. 1st Exchange Email and Numbers Due today: Launch and Brainstorm (Choose a Point Person) Launch: Bullets 1 – 3 Assign a member to oversee 5 roles. Discuss and turn in ideas for each. Write your role(s) and responsibilities in your notebook. • (1) Venue - Choose a location for at least 50 people - Real location • (2) Catering – Choose a caterer to provide a 4 course meal - Real location • (3) Decorations and Favors – A gift should be provided at each place setting. Have a picture and provide a vivid description. Each person should compare costs and minimum purchase amounts. If you are assigned to find a venue and do the catering, members should - Research local companies online and contact businesses to get their fees. Save the Date

3. "Coming together is a beginning. Keeping together is progress. Working together is success. " ~ Henry Ford Due Wednesday March 12 • Task 1: #1 on the Fundraising Guidelines Research and describe the cause for the charity and theme. • Task 2 – (4th person) Members should research careers as an event planner, including a job description and qualifications (Include this in your project).

4. "Teamwork divides the task and multiplies the success. " ~ Unknown • All students in each group should research and understand the terms costs, revenues and profits. Tell what will be included in each for your project. (Include in your project) • (5) Also, find and choose an organization that you will donate proceeds to. (Choose a member to oversee) • Write on the same paper as yesterday.

5. Brainstorm: Today, think about a theme for the fundraising dinner. Come to a decision as a group so that the details can be based around a theme. (Grab a handout)

6. You solved systems of equations by graphing. • Solve systems of equations by using substitution. • Solve real-world problems involving systems of equations by using substitution. Then/Now

7. 3 METHODS TO SOLVE A SYSTEM OF EQUATIONS BY GRAPHING (Lesson 6-1) √ BY SUBSTITUTION (Lesson 6-2) BY ELIMINATION – a. with Addition and Subtraction (Lesson 6-3) b. with Multiplication (Lesson 6-4)

8. Use substitution to solve the system of equations. 1. What is the solution to the system of equationsy = 2x + 1 and y = –x – 2? 5-Minute Check 4

9. 2. Adult tickets to a play cost $5 and student tickets cost $4. On Saturday, the adults that paid accounted for seven more than twice the number of students that paid. The income from ticket sales was $455. How many students paid? 5-Minute Check 6

10. Do Packet 5 - 7

11. Do Packet 5 - 7

12. Solve and then Substitute Use substitution to solve the system of equations.4x + 5y = 11 y – 3x = -13 Step 1 Solve the first equation for ysince the coefficient is -1. Example 2

13. Use substitution to solve the system of equations.3x – y = –12–4x + 2y = 20 Example 2

14. Do Packet 17, 18

15. No Solution or Infinitely Many Solutions Use substitution to solve the system of equations.2x + 2y = 8x + y = –2 Solve the second equation for y. x + y = –2 Second equation x + y– x = –2 – xSubtract x from each side. y = –2 – x Simplify. Substitute –2 – x for y in the first equation. 2x + 2y = 8 First equation 2x + 2(–2 – x) = 8 y = –2 – x Example 3

16. No Solution or Infinitely Many Solutions 2x – 4 – 2x = 8 Distributive Property –4 = 8Simplify. Answer: no solution The statement –4 = 8 is false. This means that there are no solutions of the system of equations. If a system results in a false sentence such as -4 = 8, then the system has no solution. The equations represent parallel lines. Example 3

17. Use substitution to solve the system of equations.3x + y = -56x + 2y = 10 If a system results in a true sentence, then the system has infinitely many solutions. This happens when 2 equations are the same line. Example 1

18. Write and Solve a System of Equations NATURE CENTER A nature center charges $35.25 for a yearly membership and $6.25 for a single admission. Last week it sold a combined total of 50 yearly memberships and single admissions for $660.50. How many memberships and how many single admissions were sold? Let x = the number of yearly memberships, and let y = the number of single admissions. So, the two equations are x + y = 50 and35.25x + 6.25y = 660.50. Example 4

19. Write and Solve a System of Equations Step 1 Solve the first equation for x. x + y = 50 First equation x + y– y = 50 – ySubtract y from each side. x = 50 – y Simplify. Step 2 Substitute 50 – y for x in the second equation. 35.25x + 6.25y = 660.50 Second equation 35.25(50 – y) + 6.25y = 660.50 Substitute 50 – y for x. Example 4

20. Write and Solve a System of Equations 1762.50 – 35.25y + 6.25y = 660.50 Distributive Property 1762.50 – 29y = 660.50 Combine like terms. –29y = –1102 Subtract 1762.50 from each side. y = 38 Divide each side by –29. Example 4

21. Write and Solve a System of Equations Step 3 Substitute 38 for y in either equation to find x. x + y = 50 First equation x + 38 = 50 Substitute 38 for y. x = 12Subtract 38 from each side. Answer: The nature center sold 12 yearly memberships and 38 single admissions. Example 4