Curriculum / Math / 5th Grade / Unit 5: Multiplication and Division of Fractions / Lesson 24
Math
Unit 5
5th Grade
Lesson 24 of 25
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Create line plots.
The core standards covered in this lesson
5.MD.B.2 — Make a line plot to display a data set of measurements in fractions of a unit (1/2, 1/4, 1/8). Use operations on fractions for this grade to solve problems involving information presented in line plots. For example, given different measurements of liquid in identical beakers, find the amount of liquid each beaker would contain if the total amount in all the beakers were redistributed equally.
The foundational standards covered in this lesson
4.MD.B.4 — Make a line plot to display a data set of measurements in fractions of a unit (1/2, 1/4, 1/8). Solve problems involving addition and subtraction of fractions by using information presented in line plots. For example, from a line plot find and interpret the difference in length between the longest and shortest specimens in an insect collection.
The essential concepts students need to demonstrate or understand to achieve the lesson objective
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Tasks designed to teach criteria for success of the lesson, and guidance to help draw out student understanding
a. Label the line plot below with $${{1\over8}}$$s. Cut out and divide the cards from Template 2 evenly between the two players, laying them facedown. Each partner will choose one of their facedown cards and turn it over. The team will then add their fractions together. For each turn, each team will record their sum on the line plot.
Each team should have 12 data points marked on their line plot.
b. Look at the line plot. Which values came up the most? Which values did not come up?
c. The tick marks on the number line correspond to eighths. Which of the eighths will never come up as a sum of two of these cards? Why?
d. You want to improve the game so that it is possible for two fractions to sum to $${{{{7\over8}}}}$$. Name one fraction card that you could add to the deck and explain why your new card would now make it possible to have $${{{{7\over8}}}}$$ as a sum of two cards.
Fractions on a Line Plot, accessed on April 26, 2018, 10:07 a.m., is licensed by Illustrative Mathematics under either the CC BY 4.0 or CC BY-NC-SA 4.0. For further information, contact Illustrative Mathematics.
Mr. Pernell has the fifth graders take a physical fitness test. Part of the physical fitness test was a sit-and-reach test, where students sit and stretch their fingers forward, with this distance measured in inches. The data from the girls is listed below:
a. Create a line plot that represents this data.
b. What is the shortest sit-and-reach length?
c. What is the longest sit-and-reach length?
d. What is the most common sit-and-reach length?
e. If girls in the fifth grade are supposed to have a sit-and-reach distance of 3 inches, do you think Mr. Pernell should feel good about how his fifth-grade girls are doing? Why or why not?
Problem Set
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A task that represents the peak thinking of the lesson - mastery will indicate whether or not objective was achieved
Irene is training to run a marathon. The list below shows the number of miles she ran each day for 2 weeks.
$$8\frac{1}{4}, \ 7, \ 7\frac{1}{2}, \ 7\frac{3}{4}, \ 8\frac{3}{4}, \ 8, \ 7\frac{3}{4}, \ 8\frac{1}{4}, \ 7\frac{2}{4}, \ 7\frac{3}{4}, \ 8\frac{1}{4}, \ 8, \ 8\frac{1}{2}, \ 8\frac{3}{4}$$
Make a line plot of the data below. Include a title and the correct labels.
An example response to the Target Task at the level of detail expected of the students.
The Extra Practice Problems can be used as additional practice for homework, during an intervention block, etc. Daily Word Problems and Fluency Activities are aligned to the content of the unit but not necessarily to the lesson objective, therefore feel free to use them anytime during your school day.
Extra Practice Problems
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Lesson 23
Lesson 25
Topic A: Fractions as Division
Relate equal shares of objects to division expressions and visual representations of fractions.
5.NF.B.3
Write division expressions that represent fractions and vice versa.
Solve division problems when the quotient is a fraction or mixed number, including cases with larger values.
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Topic B: Multiplying a Fraction by a Whole Number
Multiply a fraction by a whole number where the product is a whole number.
5.NF.B.4.A 5.NF.B.6
Multiply a fraction by a whole number where the product is a whole number or a fraction.
Relate multiplication of a fraction by a whole number to multiplication of a whole number by a fraction and use this to develop a general method to multiply any fraction by any whole number (or vice versa).
5.NF.B.4.A 5.NF.B.5
Solve real-world problems involving multiplication of fractions and whole numbers and create real-world contexts for expressions involving multiplication of fractions and whole numbers.
5.NF.B.4 5.NF.B.6 5.OA.A.2
Topic C: Multiplying a Fraction by a Fraction
Multiply a fraction by a fraction without subdivisions using tape diagrams and number lines.
5.NF.B.4 5.NF.B.5 5.NF.B.6
Multiply a fraction by a fraction with subdivisions using tape diagrams and number lines.
Multiply a fraction by a fraction with more complicated subdivisions using an area model.
Develop a general method to multiply a fraction by a fraction.
Solve real-world problems involving multiplication of fractions with fractions and create real-world contexts for expressions involving multiplication of fractions with fractions.
Topic D: Multiplying with Mixed Numbers
Multiply mixed numbers by whole numbers.
Multiply mixed numbers by fractions.
Multiply mixed numbers by mixed numbers.
Develop a general method to multiply with mixed numbers.
Solve real-world problems involving multiplication with mixed numbers and create real-world contexts for expressions involving multiplication with mixed numbers.
Interpret multiplication as scaling.
5.NF.B.5 5.NF.B.5.A 5.NF.B.5.B
Topic E: Dividing with Fractions
Divide a unit fraction by a whole number.
5.NF.B.7.A 5.NF.B.7.C
Divide a whole number by a unit fraction.
5.NF.B.7.B 5.NF.B.7.C
Solve real-world problems involving division with fractions and create real-world contexts for expressions involving division with fractions.
5.NF.B.7.C 5.OA.A.2
Topic F: Fraction Expressions and Real-World Problems
Solve real-world problems involving multiplication and division with fractions.
5.NF.B.3 5.NF.B.6 5.NF.B.7
Write and evaluate numerical expressions involving operations with fractions.
5.NF.B.3 5.NF.B.4 5.NF.B.5 5.NF.B.6 5.NF.B.7 5.OA.A.1 5.OA.A.2
Topic G: Line Plots
5.MD.B.2
Solve problems involving information presented in a line plot (dot plot).
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