Represent and interpret data using whole numbers.
Collect data by asking a question that yields numerical data.
Make a representation of data and interpret data in a frequency table, scaled bar graph, and/or line plot.
Determine whether a survey question will yield categorical or numerical data.
Step 1: Lesson Standards & Learning Goals
In third grade, students collected data by asking a question that yielded categorical data, which is data that can be grouped into categories. Students also learned that scaled bar graphs have a scale on the y-axis in which the labels do not include every number.
In fourth grade, students will begin to also ask questions that provide numerical data, which is data that is measurable such as time, height, weight, temperature, etc.
Students will interact with data by posing a question, collecting data, analyzing data, and interpreting data. Students need ample experiences with creating and discussing survey questions, data collection, creating scaled bar graphs and line plots, and interpreting data.
Students should choose an appropriate representation of categorical or numerical data and create the representation. Students will create frequency tables, scaled bar graphs, or line plots based on the data collected. Graphs should include a title, categories, category labels, key, and data.
Students should be able to solve simple one and two-step problems using the information in the graphs.
How can graphs be used to solve problems?
What methods are used to collect, organize, and display data from various sources?
What strategies are necessary for reading, interpreting, and analyzing graphs?
What components are necessary to accurately create and display data on a graph?
What strategies are used to choose the appropriate scales and intervals when drawing graphs?
Bar Graph
Categorical Data
Category
Data
Frequency Table
Interpret
Interval
Key
Labels
Line Plot
Measurable
Numerical Data
Representation
Scale
Title
Identify data as categorical or numerical data.
Create survey questions that yield categorical data.
Create survey questions that yield numerical data.
Collect and record data.
Choose an appropriate representation of data.
Create frequency tables, scaled bar graphs, or line plots.
Label the graph with a title, category labels, scale, and key.
Analyze and interpret data to solve one and two-step problems.
That graphs are visual representations of data.
The difference between categorical and numerical data.
What the labels, scale, key, and intervals on a graph represent.
Step 2: Assessment
NC.4.NF.4 - CO - Howell - Jan. 17, 2023
NC.4 - Cluster 1 Review - CO - Howell - Mar. 6, 2023
NC.4 Benchmark Review Practice - CO - Howell - Mar. 31, 2023
Step 3: Lesson Instructions
Previewing
Display different types of graphs and have students compare the types of data represented on each graph.
Survey
Since this unit is at the beginning of the school year, utilizing surveys to get to know your class would be a great way to discuss categorical versus numerical data.
How do you get home? (Categorical)
What is your favorite subject? (Categorical)
How many pets do you have? (Numerical)
How many siblings do you have? (Numerical)
https://ccwes.wilkescountyschools.org/apps/pages/index.jsp?uREC_ID=429152&type=d&pREC_ID=1854577
Tools 4 NC Teachers
Cluster 1 Lessons
Cluster 1 Additional Resource List
Math Expressions - (Barnes and Hearne) - Standards Alignment
Motivation Math
Think Up! Math
Khan Academy - 4th Grade Math
Data is not included in 4th Grade on Khan.
Grade 2 Unit: Data (introduces line plots)
Grade 3 Unit: Represent and interpret data (line plots with fractions)
Eureka Math/Engage NY Free Resources
Embarc Online (Eureka Math) - Grade 3 Module 6
G3 M6 Topic A: Generate and Analyze Categorical Data
Zearn Math - Online Support Practice for Eureka Math (Requires free account)
North Carolina Collaborative for Mathematics Learning - Grade 4 Instructional Framework
PBS Interactive Activity - Creating a Line Plot
Uses mixed numbers with benchmark fractions
Could be used as a demonstration or as a more challenging differentiated activity
YouTube Videos
NCDPI Resources
