# 6th Grade - Apply A Concept To Other Problems

 Grade Level: 6th Skill: Problem Solving Topic: Apply a Concept to Other Problems Goal: Note the method of deriving the solution and demonstrate a conceptual understanding of the derivation by solving similar problems. Skill Description: Identify and explain the method of finding a solution. Show an understanding of how a solution was found by solving similar problems.

## Building Blocks/Prerequisites

### Sample Problems

 (1) Sammie has 4 ½ cups of flour. She needed to know if she had enough flour to make two cakes. She needs 2 1/8 cups of flour for a lemon cake and 2 ¾ cups of flour for her chocolate cake. Sammie determined that she would need 4 7/8 of flour and went to the store to buy more. How did Sammie determine how much flour she would need? (She added the flour needed for each recipe; 2 1/8 + 2 ¼. (2) Sammie has 5 cups of flour. She wants to make 2 cakes. She needs 2 ¼ cups of flour to make a white cake and 2 ½ cups of flour to make a carrot cake. How much flour does Sammie need? Does she have enough? (Sammie needs 4 ¾ cups of flour. Since she has 5 cups, she has more than enough to make both cakes.) (3) Amanda bought a pizza for her lunch guests. The pizza had 12 slices. Her guests ate ¾ off the pizza. Amanda determined that there were 3 slices left before looking in the box. How did she find this solution? (She knew that there was ¼ of the pizza left, because 1/3 + ¾ = 1 pizza. She found ¼ of 12 slices. The word of tells you to multiply. So, Amanda multiplied 12 x ¼ and got 3.) (4) James bought a large 16-slice pizza for his family. When he left the table to make a phone call, his brothers and sisters ate 7/8 of the pizza. How many slices did they leave for James? (2 slices) (5) Tony bought a game that had the original price of \$15.00. It was 20% off. Tony determined that the game would cost \$12. How did he come to this conclusion? How much would Tony pay for a \$10 game that was on sale for 20% off? (To find the cost of the game minus the discount, Tony could calculate 10% off by moving the decimal point one place to the left to get 1.50 he would then double this to get 20%. So, 20% off is \$3. Next, he took the discount away from the original amount, so 15 – 3 = \$12. The \$10 game is on sale for \$8.00.)

### Online Resources

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