Grade Level: 6th Skill: Problem Solving Topic: Develop Strategies to Help You Goal: Develop generalizations of the results obtained and the strategies used and apply them in new problem situations. Skill Description: Develop general idea about how to solve a problem. Use generalizations to solve new, unrelated problems.

## Building Blocks/Prerequisites

### Sample Problems

 (1) Parker runs a mile in 8 minutes. At this rate, how long will it take him to run a 26-mile marathon? Which of the following problems can be solved using the same arithmetic operations that are used above? A doctor has 1,300 patients in two offices. He wants each office to house the same number of patients. How many patients should be invite to visit at the new office? A cereal box weighs 100 grams. What is the weight of 2 boxes? Ron walks 4 miles in 30 minutes. How long will it take him to walk one mile? (B) (2) Which two problems use the same operations and strategies to obtain a result. Identify the strategies used. Bill can type 90 words in 30 seconds. At that rate, how long will it take him to type 200 words? Ron walks 4 miles in 30 minutes. How long will it take him to walk two miles? Chad is making 2 quarts of lemonade. Each quart will serve 4 people. How many servings is Chad making? (A and B both use multiplication and division.) (3) Mia’s room is in an L shape. She found the area of her room by dividing it into two rectangles, finding the area of each and then adding the areas together. What other room shape would this work for? (Answers will vary. It will work for any room that can be broken into rectangles without overlapping or gaps.) (4) True or False. Explain. The problems can be solved using the same strategies. Tessa completed 144 problems in 60 minutes. How many problems can she solve in 2 hours? Jack has driven 234 miles in 2 hours. At what rate is he driving? (False, the first problem requires multiplication, while the second uses division.) (5) True or False. Explain. The problems below cannot be solving using the same strategy. Dave bought a pizza with 12 slices. He ate 4/5 of the pizza. How many slices did he eat? Shana has 4 pink hats and 7 blue hats. How many hats doe she have in total? (True, even though the same operation is used for both problems, multiplication, problem one needs division also to finish the solution.)

### Online Resources

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