10/27/11 ©Evergreen Public Schools Mixture Problems Organizer: Contains an organizer to structure these problems

©Evergreen Public Schools Learning Target Solve Equations Target 3a I can write an equation to solve a problem. Solve Equations Target 3b I can show the algebraic steps I used to find a solution to a multi-step equation. What kind of problems have we already solved?

©Evergreen Public Schools LaunchLaunch In Miss Payne’s class grades are based only on test grades. Aramis got an F on the Unit 1 test and an A on the Unit 2 test. What is his grade in the class?

©Evergreen Public Schools LaunchLaunch In Miss Payne’s class grades are based only on test grades. Aramis got an 25% on the Unit 1 test and an 75% on the Unit 2 test. What is his grade in the class?

©Evergreen Public Schools LaunchLaunch Kitty’s answer to the question Aramis got an 25% on the Unit 1 test and an 75% on the Unit 2 test. What is his grade in the class? Was 100%. What would you say to her?

©Evergreen Public Schools ExploreExplore

7 Calculate GPA How is your Grade Point Average, GPA, calculated? A = 4 B = 3 C = 2 D = 1 F = 0 sum of all grades number of grades

©Evergreen Public Schools Calculate GPA Without calculating, guess the GPA. I. A, A, A, F, F, F II. A, B, B, B, B, F III. B, C, C, C, C, D IV. A, C, C, C, C, F Share your guess with your group.

©Evergreen Public Schools Calculate GPA Now calculate the GPA. I. A, A, A, B, C, F II. A, B, B, B, C, F III. B, B, C, C, C, D IV. A, B, B, C, D, F Did your guess match the calculation? Share with your group.

©Evergreen Public Schools Math Class Grade At Mountain View HS, grades are 20% Assignments & 80% Assessments Kimberly has 120 out of 150 assignment points and 120 out of 150 assessment points. What is her percent in the class?

©Evergreen Public Schools % Assign & 80% Assess I.Faith has 130 out of 150 assignment points and 120 out of 150 assessment points. II.Hope has 120 out of 150 assignment points and 130 out of 150 assessment points. Who has a higher percent in class? Faith? Hope? Are their percents the same?

©Evergreen Public Schools Mixture Problems You have been solving mixture problems. Here’s an organizer you can use for these problems. Ingredient 1Ingredient 2Total Mix Concentration Or Cost Amount

©Evergreen Public Schools Mixture Problems Equation: Concentration 1  Amount 1 + Concentration 2  Amount 2 = Total Concentration 1  Total Amount For short: C 1 A 1 + C 2 A 2 = C total A total

©Evergreen Public Schools Mixture Problems Faith has 130 out of 150 assignment points and 120 out of 150 assessment points. Ingredient 1Ingredient 2Total Mix Concentration Or Cost Amount assign /150 assess /150 x 1.00 Why 1.00?

©Evergreen Public Schools Mixture Problems Equation: C 1 A 1 + C 2 A 2 = C total A total Ingredient 1Ingredient 2Total Mix Concentration Or Cost Amount assign /150 assess /150 x 1.00

©Evergreen Public Schools Mixture Problems Equation: C 1 A 1 + C 2 A 2 = C total A total Faith’s percent is 81.4%

©Evergreen Public Schools % Assignments & 80% Assessments Hope has 120 out of 150 assignment points and 130 out of 150 assessment points. Use the same procedure to calculate Hope’s grade. Who has a higher percent in class? Faith? Hope? Are their percents the same?

©Evergreen Public Schools % Assignments & 80% Assessments Todd said both girls percents should be the same because they both have 150 out of 300 points. What would you say to Todd?

©Evergreen Public Schools Mixture Problems Krystal’s Red Hot Peanuts was made by combining 6 kg of peanuts which cost $1/kg with 3 kg of spices which cost $4/kg. Find the cost of the mixture. Ingredient 1Ingredient 2Total Mix Concentration Or Cost Amount peanuts $1/kg 6 kg spices $4/kg 3 kg 9 kg ? What goes here?

©Evergreen Public Schools Mixture Problems Equation: C 1 A 1 + C 2 A 2 = C total A total Ingredient 1Ingredient 2Total Mix Concentration Or Cost Amount peanuts $1/kg 6 kg spices $4/kg 3 kg 9 kg ? x

©Evergreen Public Schools Mixture Problems Krystals mixture costs $2 per pound. Ingredient 1Ingredient 2Total Mix Concentration Or Cost Amount peanuts $1/kg 6 kg spices $4/kg 3 kg 9 kg ? x = 2

Placemat ©Evergreen Public Schools Explain how to use the short cut C 1 A 1 + C 2 A 2 = C total A total to write an equation to solve a mixture problem. Name 1 Name 2 Name 3 Name 4

©Evergreen Public Schools Learning Target Did you hit the target? 3a I can write an equation to solve a problem. 3b I can show the algebraic steps I used to find a solution to a multi-step equation.

©Evergreen Public Schools Practice Practice 2.6D Mixture Problems