# MA.4.DP.1.3 Export Print
Solve real-world problems involving numerical data.

### 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.

General Information
Subject Area: Mathematics (B.E.S.T.)
Strand: Data Analysis and Probability
Status: State Board Approved

## Benchmark Instructional Guide

### 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.

Collect 10 used pencils from people in your class. Measure the length of each pencil to the nearest $\frac{\text{1}}{\text{8}}$

inch 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. What is the sum of the 5 putt lengths?
• 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

This benchmark is part of these courses.
5012060: Mathematics - Grade Four (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
7712050: Access Mathematics Grade 4 (Specifically in versions: 2014 - 2015, 2015 - 2018, 2018 - 2022, 2022 and beyond (current))
5012065: Grade 4 Accelerated Mathematics (Specifically in versions: 2019 - 2022, 2022 and beyond (current))
5012015: Foundational Skills in Mathematics 3-5 (Specifically in versions: 2019 - 2022, 2022 and beyond (current))

## Related Access Points

Alternate version of this benchmark for students with significant cognitive disabilities.
MA.4.DP.1.AP.3: Solve one-step real-world problems involving numerical data represented with tables or line plots. Data set to include only whole numbers and halves. Required operations to involve only the whole number data points in the data set.

## Related Resources

Vetted resources educators can use to teach the concepts and skills in this benchmark.

## Formative Assessments

Science Experiment Part Two:

Students are asked to analyze data presented in a line plot and solve problems related to the data.

Type: Formative Assessment

Bulk Candy Part Two:

Students analyze data presented in a line plot and solve problems related to the data.

Type: Formative Assessment

Race Cars Part Two:

Students are asked to analyze data presented in a line plot and solve problems related to the data.

Type: Formative Assessment

Rock Measurements Part Two:

Students analyze data presented in a line plot and solve problems related to the data.

Type: Formative Assessment

## Lesson Plan

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.

Type: Lesson Plan

## Original Student Tutorial

Logging Lengths with Line Plots:

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

## 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.

## MFAS Formative Assessments

Bulk Candy Part Two:

Students analyze data presented in a line plot and solve problems related to the data.

Race Cars Part Two:

Students are asked to analyze data presented in a line plot and solve problems related to the data.

Rock Measurements Part Two:

Students analyze data presented in a line plot and solve problems related to the data.

Science Experiment Part Two:

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

Logging Lengths with Line Plots:

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

Vetted resources students can use to learn the concepts and skills in this benchmark.

## Original Student Tutorial

Logging Lengths with Line Plots:

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

## Parent Resources

Vetted resources caregivers can use to help students learn the concepts and skills in this benchmark.