4.MD.4 - About the Math, Learning Targets, and Rigor
Grade 4 Measurement and Data
4.MD.4
Full 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 the 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.
Measurement Topic
This standard is reported on the report card in these quarters as follows:
| Quarter 1 | Quarter 2 | Quarter 3 | Quarter 4 |
|---|---|---|---|
|
|
|
Report Card Measurement Topic: Demonstrates understanding of addition and subtraction of whole numbers and fractions.
|
| Quarter 1 | Quarter 2 | Quarter 3 | Quarter 4 |
|---|---|---|---|
|
|
|
Report Card Measurement Topic: Demonstrates understanding of addition and subtraction. |
Learning Targets
- Create a line plot with fractions.
- Use line plots with fractions to answer addition and subtraction problems.
About the Math
A line plot is a simple way to organize data. To construct a line plot, draw a number line showing each possible value. The values can be whole numbers or fractions. Place an X at the appropriate spot above the number line for each value. Essential vocabulary for this standard includes: line plot and data. Visit the online dictionary Links to an external site. for vocabulary support.
Progression of Standard within Grade 4
This progression informs how to develop the standard within the grade level. This progression is provided by HCPSS Elementary Mathematics.
| Quarter 1 | Quarter 2 | Quarter 3 | Quarter 4 |
|---|---|---|---|
|
Progression of this Standard Across Grades
This progression is informed by the Achieve the Core Coherence Map Links to an external site.. Information is not the complete standard.
| Grade 3 | Grade 5 |
|---|---|
|
|
Back to Top
TASKS
These tasks can be used with small group or whole group instruction.
- Use rulers to measure the lengths of students' pencils to the nearest quarter inch. After all the data is collected, students should use the data to create a line plot. Students will work together to develop 3 questions that can be asked and answered from the line plot.
- Provide students with a line plot with some information covered (title, x-axis able, and y-axis label). Ask students what they notice and wonder about the line plot and accept predictions about what the line plot. Slowly reveal information about the line plot and ask students to update their predictions. Once all information is revealed, students to create 3 questions that could be asked and answered from the data.
- What is the relationship between line plots and number lines?
- What questions could be answered by analyzing the data on this line plot? Write down as many questions as you can think of. Questions can include what is the difference between the longest and shortest amount of time studying? How many students studies 45 minutes or less?
- Ten people collect data on how far a frog jumps. (Lengths 1/4 foot = 2 jumps , 1/2 foot = 5 jumps , 1 foot = 2 jumps, 1 1/4 feet = 1 jump) No frog jumped ¾ of a foot. When making a line plot for this data, can you skip ¾ foot on the graph? Why or why not? (Even if no data is collected for a particular value, it must be included on the line plot. Line plots are essentially number lines and we cannot eliminate a section on the number lines. Data does not have to start at 0, but whatever section of data is shown, must show all the intervals.)
- Data was collected to reflect the amount of pie eaten by people in a pie eating contest at the fair. The table to the right shows the data. Construct a line plot to reflect the data. How many people participated in the pie eating contest? How many pies were consumed during the contest?
SLIDE-BASED TASKS
These links are HCPSS created instructional tasks. These tasks are provided in Google slides. These tasks should be used for inspiration and resources, but instruction should start with students having the opportunity to engage with the math first (often involving physical and/or visual models) followed by discussion and explicit instruction to ensure student understanding.
Module 9 • Fractions (Adding and Subtracting)
Create and Solve Problems Using a Line Plot with Fractions:
Additional Tasks
These links provide instructional ideas connected to this standard.
- Button Diameters Links to an external site. (Illustrative Math)
- Line Plot Activities Download Line Plot Activities
- Line Plot Task Download Line Plot Task (Teacher), Line Plot Task Download Line Plot Task (Student)
- What's the Story? Links to an external site. (Georgia Department of Education, pg. 25-30)
- My Bigger Bug Download My Bigger Bug (Utah Core Academy Lesson)
- Summer Swimming Download Summer Swimming (Utah Core Academy Lesson)
Print Resources
These publications have been provided for each school. They are typically stored in team closets or the media center. Check with your team leader if you cannot find them.
| Book Thumbnail | Book Title | Grade | Pages |
|---|---|---|---|
| Teaching Student-Centered Mathematics | 3-5 |
|
|
|
Math In Practice Teaching Fourth-Grade Math |
4 | Module 13 |
Back to Top
Centers
These print resources can be used during independent or center time. These resources could also be used as lesson seeds.
- Finding Rory Download Finding Rory (HCPSS-adapted print resource)
- Create Your Own Line Plot Download Create Your Own Line Plot (HCPSS-adapted print resource)
INDEPENDENT PRACTICE/HOMEWORK/ASSESSMENT
These resource sheets can be used for independent practice, homework, or assessment. They are intended to reinforce procedures and concepts. They should not be used as a source of direct instruction or whole-group practice.
- Plot Measurements (1/4 inch) on a Line Plot Links to an external site.
- Plot Measurements (1/4 inch) on and Solve Problems Using a Line Plot Links to an external site.
- Plot Measurements (1/8 inch) on and Solve Problems Using a Line Plot Links to an external site.
- Solve Problems About Fractional Data on a Line Plot Links to an external site.
- Solve Problems About Fractional Data on a Line Plot_2 Links to an external site.
Back to Top
Learning Targets
- Create a line plot with fractions.
- Use line plots with fractions to answer addition and subtraction problems.
Learning targets identify what students should be able to do. This rubric can be applied to tasks and observations for assessment and/or grading.
Rubric for Tasks Links to an external site.
Visit the SBIR (Standards Based Instruction and Reporting) tab in Course Essentials for more information and clarification. There you will find the measurement topic crosswalk, report card comments, links to professional learning/resources and guidance.
This course content is offered under a CC Attribution Non-Commercial Share Alike
Links to an external site. license. Content in this course can be considered under this license unless otherwise noted.