Sixth Grade Math Problem Solving - Christine Clonch's Math 6



Sixth Grade Math Problem Solving

NOTES

I. DO YOU KNOW YOUR OPERATIONS?

DIRECTIONS: Answer the following questions. You may use drawings as well (Hint: Use the definitions of the operations to help.)

1. 1/6 + 4/9 =

2. 5/8 – 1/4 =

3. 2/3 x 1/2 =

4. 1/2 ( 1/4 =

II. CHOOSING THE APPROPRIATE OPERATION

1. Frances wants to run X miles every day. Today, she has gone Y miles. How much farther does she have to go?

a. What operation would you use to solve this problem? Why?

b. Write an algebraic expression to represent your solution.

c. Evaluate if X = 2 and Y = 1 ½

2. Baby George weighs Z pounds. Baby Gary weighs P pounds. How much do the two babies weigh?

a. What operation would you use to solve this problem? Why?

b. Write an algebraic expression to represent your solution.

c. Evaluate if Z = 8 3/16 and P = 7 ¼

3. Frances wants to run X miles each day for Y days. How far will she run?

a. What operation would you use to solve this problem? Why?

b. Write an algebraic expression to represent your solution.

c. Evaluate if X = 2 ¼ and Y = 7

4. Kevin has N pounds of brownies and wants to cut them into pieces each equaling P pounds. How many brownies will Kevin have?

a. What operation would you use to solve this problem? Why?

b. Write an algebraic expression to represent your solution.

c. Evaluate if N = 3 ½ and P = ¼

John bought 2/3 of a pound of chocolate. He ate 1/3 of the chocolate next day. How much chocolate does he have?

1. Draw a picture.

2. Describe how you will solve this problem. Explain your answer using words and/or pictures.

3. Solve, showing each step.

4. Write your answer in a complete sentence, including units.

Stacey is playing a game of checkers. She starts the game with 16 pieces. Now, Stacey has ¼ of her pieces remaining on the board. How many pieces does she have left?

1. Draw a picture.

2. Describe how you will solve this problem. Explain your answer using words and/or pictures.

3. Solve, showing each step.

4. Write your answer in a complete sentence, including units.

Sam rode is bike 2/5 of a mile to school and walked another ¾ of a mile. How far did Sam travel?

1. Draw a picture.

2. Describe how you will solve this problem. Explain your answer using words and/or pictures.

3. Solve, showing each step.

4. Write your answer in a complete sentence, including units.

A square has a perimeter of 8 ½ feet. What is the measurement of the side of the square?

1. Draw a picture.

2. Describe how you will solve this problem. Explain your answer using words and/or pictures.

3. Solve, showing each step.

4. Write your answer in a complete sentence, including units.

Jen has a 3 yards of ribbons she wants to cut into pieces each measuring 1/5 of a yard. How many pieces of ribbon will Jen have?

1. Draw a picture.

2. Describe how you will solve this problem. Explain your answer using words and/or pictures.

3. Solve, showing each step.

4. Write your answer in a complete sentence, including units.

Tim buys 2/3 of a pound of vegetables, ½ pound of meat, and a five-pound bag of sugar. How many pounds of food did Tim buy?

1. Draw a picture.

2. Describe how you will solve this problem. Explain your answer using words and/or pictures.

3. Solve, showing each step.

4. Write your answer in a complete sentence, including units.

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FRACTIONS #10

Sixth Grade Math Problem Solving

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HOMEWORK

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“An ounce of practice is worth more than tons of preaching.” - Gandhi

FRACTIONS #10

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