Unit 3, Section A

Equal Groups of Fractions

Grade 4

Practice

1. Problem 1

   3.NF.A.1

   Pre-unit

   Student Task Statement

   What fraction of the rectangle is shaded? Explain how you know.

   

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2. Problem 2

   3.NF.A.2

   Pre-unit

   Student Task Statement

   1. Locate and label and on the number line.

      

   2. Explain why your points represent and .

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3. Problem 3

   3.OA.A.1

   Pre-unit

   Student Task Statement

   Write a multiplication expression for each image. Explain your reasoning.

   1.  

      

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   2.  

      

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4. Problem 4

   3.MD.B.4

   Pre-unit

   Student Task Statement

   Here are the lengths of some lizards in inches. Use the lengths to complete the line plot.

   • 3
   • 2

   • 2
   • 3

   

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5. Problem 5

   ForLesson 1: Equal Groups of Unit Fractions

   Student Task Statement

   Write an expression that matches each diagram. Then find the value of each expression.

   

   

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6. Problem 6

   ForLesson 2: Representations of Equal Groups of Fractions

   Student Task Statement

   There are 5 friends that go on a hike. They each bring cup of nuts.

   1. If the shaded parts represent the amount of nuts the friends bring on their hike, which diagram matches the story? Explain your reasoning.

      

      

   2. How many cups of nuts do the friends bring on the hike?

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7. Problem 7

   ForLesson 3: Patterns in Multiplication

   Student Task Statement

   Kiran’s cat eats cup of food each day.

   1. How much food does Kiran’s cat eat in a week?
   2. Draw a diagram to represent the situation.

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8. Problem 8

   ForLesson 4: Equal Groups of Non-unit Fractions

   Student Task Statement

   1. Draw a diagram to show .
   2. How does the diagram help you find the value of the expression ?

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9. Problem 9

   ForLesson 5: Equivalent Multiplication Expressions

   Student Task Statement

   Find the number that makes each equation true. Draw a diagram if it is helpful.

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10. Problem 10

    ForLesson 6: Problems with Equal Groups of Fractions

    Student Task Statement

    Each bead weighs gram. How much do 7 beads weigh? Explain or show your reasoning.

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11. Problem 11

    Exploration

    Student Task Statement

    1. Measure how thick your book is to the nearest inch.
    2. If your classmates stacked their books together, how tall would the stack be? Explain or show your reasoning.
    3. Check your answer by measuring the stack, if possible.

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12. Problem 12

    Exploration

    Student Task Statement

    Diego walks the same number of miles to school each day. He says he walks miles in total, but he does not say how many days that distance includes.

    What are some possible numbers of days Diego walks to school? What is the distance he walks each of those days?

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