Videos and solutions to help Grade 3 students learn how to place unit fractions on a number line with endpoints 0 and 1.

Common Core Standards: 3.NF.2a, 3.NF.2b, 3.NF.3c, 3.NF.3d, 3.MD.4

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Lesson Plans and Worksheets for Grade 3

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Common Core For Grade 3

** New York State Common Core Math Grade 3, Module 5, Lesson 14**

Lesson 14 Application Problem

Mr. Ray is knitting a scarf. He says that he has completed 1 fifth of the total length of the scarf.

Draw a picture of the final scarf. Label what he has finished and what he still has to make.

Draw a number bond with 2 parts to show the fraction he has made and the fraction he has not made.

**Making Fraction Strips**

1) Draw a horizontal line with your ruler that is a bit longer than 1 of your fraction strips.

2) Place a whole fraction strip just above the line you drew.

3) Make a small mark on the left end of your strip.

4) Label that mark 0 above the line. This is where we start measuring the length of the strip.

5) Make a small mark on the right end of your strip.

6) Label that mark 1 above the line. If we start at 0, the 1 tells us when we’ve travelled 1 whole length of the strip.

Measure the Unit Fractions:

1. Place your fraction strip with halves above the line.

2. Make a mark on the number line at the right end of 1 half. This is the length of 1 half of the fraction strip.

3. Label that mark ½. Label 0 halves and 2 halves.

4. Repeat the process to measure and make other unit fractions on a number line. Lesson 14 Problem Set

1. Write number bonds. Partition the fraction strip to show the unit fractions of the number bond. Use the fraction strip to help you label the unit fractions on the number line. Include 0 unit fractions.

2. Trevor needs to let his puppy outside every quarter (1 fourth) hour to potty train him. Draw and label a number line from 0 hours to 1 hour to show every 1 fourth hour. Include 0 fourths and 4 fourths hour. Label 0 hours and 1 hour, too.

3. A ribbon is one meter long. Mrs. Lee wants to sew a bead every 1/5 m. The first bead is at 1/5 m. The last bead is at the 1 m. Draw and label a number line from 0 m to 1 m to show where Mrs. Lee will sew in a bead. Label all the fractions including 0 fifths and 5 fifths. Label 0 meters and 1 meter, too.

Lesson 14 Homework

1. Write number bonds. Partition the fraction strip to show the unit fractions of the number bond. Use the fraction strip to help you label the unit fractions on the number line. Include 0 unit fractions.

c. fifths

2. Carter needs to wrap 7 presents. He lays the ribbon out flat and says, "If I make 6 equally spaced cuts, IӬl have just enough pieces. I can use 1 piece for each package, and I wonӴ have any pieces left over." Does he have enough pieces to wrap all the presents?

3. Mrs. Rivera is planting flowers in her 1 meter long rectangular plant box. She divides the plant box into sections 1/9 m in length, and plants 1 seed in each section. Draw and label a fraction strip representing the plant box from 0m to 1m. Represent each section where Mrs. Rivera will plant a seed. Label all the fractions.

a. How many seeds will she be able to plant in 1 plant box?

b. How many seeds will she be able to plant in 4 plant boxes?

c. Draw a number line below your fraction strip and mark all the fractions.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

Common Core Standards: 3.NF.2a, 3.NF.2b, 3.NF.3c, 3.NF.3d, 3.MD.4

Related Topics:

Lesson Plans and Worksheets for Grade 3

Lesson Plans and Worksheets for all Grades

More Lessons for Grade 3

Common Core For Grade 3

Lesson 14 Application Problem

Mr. Ray is knitting a scarf. He says that he has completed 1 fifth of the total length of the scarf.

Draw a picture of the final scarf. Label what he has finished and what he still has to make.

Draw a number bond with 2 parts to show the fraction he has made and the fraction he has not made.

Lesson 14 Concept Development

1) Draw a horizontal line with your ruler that is a bit longer than 1 of your fraction strips.

2) Place a whole fraction strip just above the line you drew.

3) Make a small mark on the left end of your strip.

4) Label that mark 0 above the line. This is where we start measuring the length of the strip.

5) Make a small mark on the right end of your strip.

6) Label that mark 1 above the line. If we start at 0, the 1 tells us when we’ve travelled 1 whole length of the strip.

Measure the Unit Fractions:

1. Place your fraction strip with halves above the line.

2. Make a mark on the number line at the right end of 1 half. This is the length of 1 half of the fraction strip.

3. Label that mark ½. Label 0 halves and 2 halves.

4. Repeat the process to measure and make other unit fractions on a number line. Lesson 14 Problem Set

1. Write number bonds. Partition the fraction strip to show the unit fractions of the number bond. Use the fraction strip to help you label the unit fractions on the number line. Include 0 unit fractions.

2. Trevor needs to let his puppy outside every quarter (1 fourth) hour to potty train him. Draw and label a number line from 0 hours to 1 hour to show every 1 fourth hour. Include 0 fourths and 4 fourths hour. Label 0 hours and 1 hour, too.

3. A ribbon is one meter long. Mrs. Lee wants to sew a bead every 1/5 m. The first bead is at 1/5 m. The last bead is at the 1 m. Draw and label a number line from 0 m to 1 m to show where Mrs. Lee will sew in a bead. Label all the fractions including 0 fifths and 5 fifths. Label 0 meters and 1 meter, too.

1. Write number bonds. Partition the fraction strip to show the unit fractions of the number bond. Use the fraction strip to help you label the unit fractions on the number line. Include 0 unit fractions.

c. fifths

2. Carter needs to wrap 7 presents. He lays the ribbon out flat and says, "If I make 6 equally spaced cuts, IӬl have just enough pieces. I can use 1 piece for each package, and I wonӴ have any pieces left over." Does he have enough pieces to wrap all the presents?

3. Mrs. Rivera is planting flowers in her 1 meter long rectangular plant box. She divides the plant box into sections 1/9 m in length, and plants 1 seed in each section. Draw and label a fraction strip representing the plant box from 0m to 1m. Represent each section where Mrs. Rivera will plant a seed. Label all the fractions.

a. How many seeds will she be able to plant in 1 plant box?

b. How many seeds will she be able to plant in 4 plant boxes?

c. Draw a number line below your fraction strip and mark all the fractions.

Rotate to landscape screen format on a mobile phone or small tablet to use the **Mathway** widget, a free math problem solver that **answers your questions with step-by-step explanations**.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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