Standard #: MA.2.DP.1.1


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Collect, categorize and represent data using tally marks, tables, pictographs or bar graphs. Use appropriate titles, labels and units.


Clarifications


Clarification 1: Data displays can be represented both horizontally and vertically. Scales on graphs are limited to ones, fives or tens.

General Information

Subject Area: Mathematics (B.E.S.T.)
Grade: 2
Strand: Data Analysis and Probability
Status: State Board Approved

Benchmark Instructional Guide

Connecting Benchmarks/Horizontal Alignment

 

Terms from the K-12 Glossary

  • Categorical data 
  • Bar graph

 

Vertical Alignment

Previous Benchmarks

 

Next Benchmarks

 

Purpose and Instructional Strategies

The purpose of this benchmark is to gather, sort, represent and make comparisons about data using several methods. In grade 1, representation of data was limited to tally marks and pictographs. At this grade level, students will select the most appropriate representation, use appropriate titles, labels and units. 
  • Instruction includes context for data representations. 
  • Instruction includes understanding that different types of graphs are useful in representing different contexts. 
  • Instruction includes the understanding that data can show trends or frequency.

 

Common Misconceptions or Errors

  • Students may formulate questions that involve only mathematical data. 
  • Students may ignore categories and only list data points. 
    • For example, students may be collecting data on favorite color (8 red, 5 blue, 7 green) and may only list 8, 5 and 7. 
  • Students may put the data totals in the incorrect categories. 
  • Students may misrepresent the count for each data point.

 

Strategies to Support Tiered Instruction

  • Instruction includes opportunities to create a bar graph to represent the data. The teacher guides students in the creation of the bar graph by posing the following questions: 
    • Question 1: What should the title of the graph be? (Ensure students write an appropriate title on the title line.) 
    • Question 2: What do the numbers on the side represent? (Ensure students understand that the scale represents the number of students that chose each breakfast food.) 
    • Question 3: What labels should I put along the bottom of the graph? 
    • Question 4: What numbers should each bar stop at for each breakfast food identified? (Ensure students draw the bars correctly.) 
  • Teacher verifies that students answer each question completely and accurately, guiding students in creating bars of an appropriate height, with appropriate labels for each individual breakfast food category. 
    • Example:

 

Instructional Tasks

Instructional Task 1 (MTR.4.1

Allow students an opportunity to gather data based on several pre-selected categories. Students can then visually represent their data using a method they choose, and discuss the similarities and differences based on the representation chosen. Students can be guided to determine the appropriate label, unit and scale based on the amount of data that needs to be represented.

 

Instructional Items

Instructional Item 1 

A class is collecting data about the type of pets in their house. The following data were collected. Create a bar graph to represent the data. 

 

*The strategies, tasks and items included in the B1G-M are examples and should not be considered comprehensive.



Related Courses

Course Number1111 Course Title222
5012040: Mathematics - Grade Two (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
7712030: Access Mathematics Grade 2 (Specifically in versions: 2014 - 2015, 2015 - 2018, 2018 - 2022, 2022 and beyond (current))
5012005: Foundational Skills in Mathematics K-2 (Specifically in versions: 2019 - 2022, 2022 and beyond (current))


Related Access Points

Access Point Number Access Point Title
MA.2.DP.1.AP.1 Sort data into up to three categories and represent the results using tally marks, tables, pictographs or bar graphs. Align data with given title, labels and units.


Related Resources

Formative Assessments

Name Description
Shoe Sizes

Students are asked to create a bar graph from a given set of data.

Features of our Shirts

Students collect data and use it to create a pictograph.

Number of Players

Students are asked to create a pictograph from a given set of data.

Lesson Plans

Name Description
COUNTING ON RESPONSIBLE CITIZENSHIP (Lesson 3 of 3)

In this math/civics lesson integrated lesson students will create a pictograph based on data collected from 3 short stories realted to ressponisble and irrsponsible citizenship. 

 

Counting on Responsible Citizenship Lesson 2 of 3

In this math/civics integrated lesson students will categorize a list of 35 responsible citizenship descriptions into 3 categories found within a school/classroom community. Students will create a tally table to represent the data.

 

Counting on Responsible Citizenship (Lesson 1 of 3)

In this math/civics integrated lesson students will categorize responsible and irresponsible citizen characteristics and create a bar graph using titles, labels, and units (also known as scale).

Water: Responsible Citizens Conserve Water

Students will learn and apply knowledge relating to water’s three main states of matter and how responsible citizenship includes the responsible use of water in this integrated lesson plan.

What Goes Up Must Come Down!

This is a second grade science lesson that incorporates math, science, and engineering as students work in collaborative groups to investigate gravity using real-world situations.

Students will investigate the following problem:
How can you design an invention that keeps a balloon in the air instead of letting it be pulled to the ground by gravity? Can you keep your balloon in the air longer than the other teams?

Bar Graph Exploration

Here's a great introductory lesson to explore creating bar graphs with your students! Students will learn to create vertical bar graphs with a single unit scale using a variety of manipulatives and answer one-step comparison and put together questions using their data displays.

Graphing Fun

This lesson incorporates collecting, categorizing, and representing data using pictographs and bar graphs. Students will also interpret data represented in these graphs including solving problems. The story Sir Cumference and the Off the Charts Dessert by Cindy Neuschwander is used to interest students in graphing and presents a good opportunity to set up an independent practice activity for students.

Gummy Graphing

Students will make bar graphs using gummy bears and Skittles!

Pop, Pop, Pop!

Students will research the effects of sugary drinks on their health.  They will interpret data on a variety of beverages presented in the form of bar graphs and decide which beverages should be included in school vending machines to ensure students have healthy drink options.

Setting the Bar: Representing Data Sets

In this lesson, students will use data from an in-class survey, animal pictures, and manipulatives to categorize and display in bar graphs. Students use the graphs to solve addition and subtraction problems about the data.

Graphing Away

In this lesson, students will use a survey question of their choice to collect data and then represent the data on a bar graph with an appropriate title, labels, and a scale of one. Students will write statements to interpret their data.

Collecting Data Through the Holidays

This lesson focuses on the use of tally charts, numerical tables, and bar graphs to collect, categorize, and represent data using holiday-based surveys. Students will find out who collected candy on Halloween, who ate corn on Thanksgiving, who left cookies for Santa on Christmas, etc. Teachers will make up their own questions to make the data collection relevant to their class.

Representing and Interpreting Data in a Bar Graph

Students will collect data and represent it using a bar graph with an appropriate title, labels, and scale of one. Students will interpret data by solving simple comparison problems using information presented in a bar graph.

Fitness Frenzy

In this lesson, students will interpret data represented with tally marks, tables, pictographs, and bar graphs and represent data using pictographs and bar graphs with appropriate titles, labels and units.

If the Shoe Fits...

In this lesson, students will create pictographs or bar graphs based on linear measurements that they collect while participating in the practice of scientific inquiry.

Problem-Solving Task

Name Description
Favorite Ice Cream Flavor

The purpose of this task is for students to practice collecting and interpreting data.

Virtual Manipulative

Name Description
KidsZone: Create a Graph

Create bar, line, pie, area, and xy graphs.

Parent Resources

Problem-Solving Task

Name Description
Favorite Ice Cream Flavor:

The purpose of this task is for students to practice collecting and interpreting data.



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