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Examples
Given the data of the softball team’s hat size represented on a line plot, determine the fraction of the team that has a head size smaller than 20 inches.Clarifications
Clarification 1: Instruction includes using any of the four operations to solve problems.Clarification 2: Data involving fractions with like denominators are limited to 2, 3, 4, 5, 6, 8, 10, 12, 16 and 100. Fractions can be greater than one.
Clarification 3: Data involving decimals are limited to hundredths.
Benchmark Instructional Guide
Connecting Benchmarks/Horizontal Alignment
Terms from the K-12 Glossary
- Numerical Data
Vertical Alignment
Previous Benchmarks
Next Benchmarks
Purpose and Instructional Strategies
The purpose of this benchmark is to use data sets as real-world context for doing arithmetic with whole numbers, fractions and decimals beyond finding measures of center and spread.- Instruction includes having students solve one- and two-step problems from a given data set or by comparing two data sets in the same units.
- Instruction includes problems that involve addition, subtraction, multiplication or division.
- This benchmark should be taught with MA.4.DP.1.1 and MA.4.DP.1.2 (collecting and representing data). Students should have a strong command of creating and interpreting line plots and stem-and-leaf plots to be successful with the interpretation these data displays.
Common Misconceptions or Errors
- Students can make errors when writing equations used to solve problems with numerical data. During instruction, expect students to justify their equations and solutions.
Strategies to Support Tiered Instruction
- Instruction includes visualizing word problems. The Three-Reads Protocol is a strategy to help students conceptualize what the question is asking. Students draw pictures or models to represent what is happening in the word problem. These pictures and models are used to help students write equations for the problem they are solving.
- Instruction includes breaking down word problems into smaller parts. Students use a highlighter to emphasize the important information in the word problem. Also, students paraphrase the word problem so the teacher can determine if the student understands what the question is asking.
Instructional Tasks
Instructional Task 1 (MTR.7.1)
Collect 10 used pencils from people in your class. Measure the length of each pencil to the nearestinch and record the lengths on a line plot. What is the difference in length of the longest pencil and the shortest pencil?
Instructional Items
Instructional Item 1
The last 5 putt lengths, in feet, for the 18th hole of a golf tournament are shown below.
- a. 8 feet
- b. 9 feet
- c. 12 feet
- d. 15 feet
*The strategies, tasks and items included in the B1G-M are examples and should not be considered comprehensive.
Related Courses
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Formative Assessments
Lesson Plan
Original Student Tutorial
STEM Lessons - Model Eliciting Activity
Fourth graders will help Cookies and Treats find cost-effective and eco-friendly packaging for its cookies. Students will organize data and compare prices using decimal notation in order to develop a procedure for choosing packaging for cookies. Students will use multiplication and division of whole numbers to plan for how many packages to order.
Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. Click here to learn more about MEAs and how they can transform your classroom.
MFAS Formative Assessments
Students analyze data presented in a line plot and solve problems related to the data.
Students are asked to analyze data presented in a line plot and solve problems related to the data.
Students analyze data presented in a line plot and solve problems related to the data.
Students are asked to analyze data presented in a line plot and solve problems related to the data.
Original Student Tutorials Mathematics - Grades K-5
Learn how to create a line plot and analyze data in the line plot in this interactive tutorial. You will also see how to add and subtract using the line plot to solve problems based on the line plots.
Student Resources
Original Student Tutorial
Learn how to create a line plot and analyze data in the line plot in this interactive tutorial. You will also see how to add and subtract using the line plot to solve problems based on the line plots.
Type: Original Student Tutorial
