Embedded Files
Standard
Standard
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.
Explanation
Explanation
About the Math, Learning Targets, & Rigor
This standard provides a context for students to work with fractions by measuring objects to an eighth of an inch. Students are making a line plot of this data and then adding and subtracting fractions based on data in the line plot.
Have students create line plots with fractions of a unit (1/2, 1/4, 1/8) and plot data showing multiple data points for each fraction.
Pose questions that students may answer, such as:
- “How many one-eighths are shown on the line plot?” Expect “two one-eighths” as the answer.
- Then ask, “What is the total of these two one-eighths?” Encourage students to count the fractional numbers as they would with whole-number counting, but using the fraction name.
- “What is the total number of inches for insects measuring 3/88 inches?” Students can use skip counting with fraction names to find the total, such as, “three-eighths, six-eighths, nine-eighths. The last fraction names the total.
- Students should notice that the denominator did not change when they were saying the fraction name.
- Have them make a statement about the result of adding fractions with the same denominator.
- “What is the total number of insects measuring 1/8 inch or 5/8 inches?” Have students write number sentences to represent the problem and solution such as, 1/8 + 1/8+ 5/8 = 7/8 inches.
Resources
Resources
Videos
Videos
- Khan Academy (scroll to find 4.MD.4 - click on a skill)
- Videos (on left side in each skill)
- Learn Zillion
EngageNY Lessons
EngageNY Lessons
- Module 5, Topic E, Lesson 28: Solve word problems with line plots.
- Module 5, Topic G, Lesson 40: Solve word problems involving the multiplication of a whole number and a fraction including those involving line plots.
Extra Practice
Extra Practice
- North Carolina Tasks
- Illustrative Math Tasks
- Howard County Tasks
- Click on 4th grade at bottom, then 4.MD.4
- Common Core Sheets
PARCC
PARCC
4.MD.4-1
4.MD.4-1
Make a line plot to display a data set of measurements in fractions of a unit (1/2, 1/4, 1/8).
- Tasks may include mixed numbers with stated denominators.
- Fractions equivalent to whole numbers are limited to 0 through 5.
STUDENT SAMPLE RESPONSE
4.MD.4-2
4.MD.4-2
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.
STUDENT SAMPLE RESPONSE
Performance Indicators: 4.MD.4-1, 4.MD.4-2
Performance Indicators: 4.MD.4-1, 4.MD.4-2
Level 5: Exceeds Expectations
- Makes a line plot to display a data set of measurements in fractions of a unit with like denominators limited to 2, 4 and 8, (including mixed numbers) and uses addition and subtraction of fractions to solve problems involving information in the line plots and evaluates the solution in relation to the data.
Level 4: Meets Expectations
- Makes a line plot to display a data set of measurements in fractions of a unit with like denominators of 2 or 4 and uses addition and subtraction of fractions to solve problems involving information in the line plot.
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