Coins Quandary Teacher Notes Vocabulary system of equations

Coins Quandary Teacher Notes Vocabulary: system of equations • Prepare 1 box (or envelope) per student. • Supplies: • pennies & nickels • boxes or containers that can be closed and are not see-through • Grouping: Individual

Coins Quandary Systems of Equations

Standards Target ©Evergreen Public Schools 2010 3

Standards Target ©Evergreen Public Schools 2010 4

Learning Target Systems of Equations Learning Targets Create equations with 2 variables to represent relationships between two quantities with equations and tables. Solve a system of linear equations algebraically to find an exact solution. What does a system of equations look like? ©Evergreen Public Schools 2010 5

Unit Launch • Do NOT open the box. • The box has pennies and nickels. You will know • the number of coins in the box. • the value of the coins in the box. Your task: • How many of each coin are in the box? Be prepared to explain your thinking.

Share Your Solution • Do NOT open the box. • Your will be paired up someone that had a different problem than yours. • Person A will share their solution with Person B. • Person B will listen and verify Person A’s solution. • Person A will edit results if needed. Now reverse the process.

How Many Coins? • Do NOT open the box. • Write up your problem and solution.

How Many Coins? • Do NOT open the box. • Some students will present their solution to the class. • As you listen you may make changes to your work.

How Many Coins? • You can now open the box. • Where you right?

More Money Work with a partner on this problem. • Penny has nickels and dimes in her pocket. She has 53 coins worth $4. 20. • How many of dimes does she have? • Write up your solution on the same paper.

More Coins Work with a partner on this problem. • Sheldon has pennies, nickels and dimes in his pocket. He has 50 coins worth $2. 73. • How many of each coin could he have? • Find more than one solution. • Write up your solution on the same paper.