Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.
Examples of Opportunities for In-Depth FocusContinuous measurement quantities such as liquid volume, mass, and so on are an important context for fraction arithmetic (cf. 4.NF.2.4c, 5.NF.2.7c, 5.NF.2.3). In grade 3, students begin to get a feel for continuous measurement quantities and solve whole- number problems involving such quantities.
- Assessment Limits :
The number of data categories are six or fewer. Items must provide appropriate scale and/or key unless item is assessing that feature. Only whole number marks may be labeled on number lines. - Calculator :
No
- Context :
Required
- Test Item #: Sample Item 1
- Question:
John surveys his classmates about their favorite foods, as shown in the bar graph.
How many more classmates prefer pizza over salad?
- Difficulty: N/A
- Type: EE: Equation Editor
- Test Item #: Sample Item 2
- Question:
The graph shows the height of each tower that five students built for a social studies project.
How many centimeters taller is the tower that Ross built than the tower that Carlos built?
- Difficulty: N/A
- Type: MC: Multiple Choice
Related Courses
Related Access Points
Related Resources
Assessment
Educational Software / Tool
Formative Assessments
Lesson Plans
Model Eliciting Activity (MEA) STEM Lessons
Original Student Tutorials
Problem-Solving Task
Teaching Ideas
Virtual Manipulatives
STEM Lessons - Model Eliciting Activity
In this Model Eliciting Activity, MEA, students will compare different nutritional content of chicken nuggets from many restaurants presented in bar graphs. They will factor in the calories, total fat, and sodium information about the nuggets to create a procedure for ranking the nuggets from healthiest to least healthy.
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. MEAs resemble engineering problems and encourage students to create solutions in the form of mathematical and scientific models. Students work in teams to apply their knowledge of science and mathematics to solve an open-ended problem, while considering constraints and tradeoffs. Students integrate their ELA skills into MEAs as they are asked to clearly document their thought process. MEAs follow a problem-based, student centered approach to learning, where students are encouraged to grapple with the problem while the teacher acts as a facilitator. To learn more about MEA’s visit: https://www.cpalms.org/cpalms/mea.aspx
In this MEA, students will rank t-shirt companies from the best price to the worst price by considering data such as purchase price, shipping fees, sizes, colors, etc. as well as notes regarding the amount of students enrolled. In the twist, students will be given information on additional requirements from the principal for specific shirt colors for each grade as well as the additional add-on of the school's logo (an elephant).
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. MEAs resemble engineering problems and encourage students to create solutions in the form of mathematical and scientific models. Students work in teams to apply their knowledge of science and mathematics to solve an open-ended problem, while considering constraints and tradeoffs. Students integrate their ELA skills into MEAs as they are asked to clearly document their thought process. MEAs follow a problem-based, student centered approach to learning, where students are encouraged to grapple with the problem while the teacher acts as a facilitator. To learn more about MEA’s visit: https://www.cpalms.org/cpalms/mea.aspx
In this Model Eliciting Activity, MEA, students will determine what two snacks should be placed in the school vending machines because the district is asking for healthier and tastier snacks. Factors to consider are calories, fat, protein, sugar, student comments, and cost.
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. MEAs resemble engineering problems and encourage students to create solutions in the form of mathematical and scientific models. Students work in teams to apply their knowledge of science and mathematics to solve an open-ended problem, while considering constraints and tradeoffs. Students integrate their ELA skills into MEAs as they are asked to clearly document their thought process. MEAs follow a problem-based, student-centered approach to learning, where students are encouraged to grapple with the problem while the teacher acts as a facilitator. To learn more about MEA’s visit: https://www.cpalms.org/cpalms/mea.aspx
The principal needs help planning the school lunch schedule! Students will plan a lunch schedule to accommodate all of the students in the school. However, there can only be 100 students in the cafeteria at a time and only 20 students can sit at a table. Students will figure out how to arrange the lunch schedule so that every class eats together and so that certain grade levels are not together at the same time.
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. MEAs resemble engineering problems and encourage students to create solutions in the form of mathematical and scientific models. Students work in teams to apply their knowledge of science and mathematics to solve an open-ended problem while considering constraints and tradeoffs. Students integrate their ELA skills into MEAs as they are asked to clearly document their thought processes. MEAs follow a problem-based, student-centered approach to learning, where students are encouraged to grapple with the problem while the teacher acts as a facilitator. To learn more about MEAs visit: https://www.cpalms.org/cpalms/mea.aspx
Using information about the needs of different animals, students will help choose which pet would be best to purchase for a classroom.
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. MEAs resemble engineering problems and encourage students to create solutions in the form of mathematical and scientific models. Students work in teams to apply their knowledge of science and mathematics to solve an open-ended problem, while considering constraints and tradeoffs. Students integrate their ELA skills into MEAs as they are asked to clearly document their thought process. MEAs follow a problem-based, student centered approach to learning, where students are encouraged to grapple with the problem while the teacher acts as a facilitator. To learn more about MEA’s visit: https://www.cpalms.org/cpalms/mea.aspx
During this activity, students will look at data from a fictional town, Thrift Town and develop a strategy of choosing which material would be the best to help insulate an ice cream container. The students will utilize higher order thinking skills, as well as deduction to find a solution.
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. MEAs resemble engineering problems and encourage students to create solutions in the form of mathematical and scientific models. Students work in teams to apply their knowledge of science and mathematics to solve an open-ended problem, while considering constraints and tradeoffs. Students integrate their ELA skills into MEAs as they are asked to clearly document their thought process. MEAs follow a problem-based, student centered approach to learning, where students are encouraged to grapple with the problem while the teacher acts as a facilitator. To learn more about MEA’s visit: https://www.cpalms.org/cpalms/mea.aspx
MFAS Formative Assessments
Students are asked to sort a set of data and create a scaled bar graph using their sorted data.
Original Student Tutorials Mathematics - Grades K-5
Learn to use the information presented in scaled bar graphs to solve one-step “how many more” and “how many fewer” problems.
Student Resources
Original Student Tutorials
In this video Sam-1 introduces a Model Eliciting Activity (MEA) challenge. Students will take their prior experiences from the properties unit and apply their knowledge of investigating sea turtle nesting temperatures.
Students will develop a hypothesis, design an experiment, and support their reasoning to determine how to best study different methods for cooling sea turtle nesting areas.
Type: Original Student Tutorial
In this SaM-1 video, students will learn how to make observations based on the property of temperature using thermometers, while representing the data in line graphs.
Type: Original Student Tutorial
Learn to use the information presented in scaled bar graphs to solve one-step “how many more” and “how many fewer” problems.
Type: Original Student Tutorial
Problem-Solving Task
The purpose of this task is for students to solve problems involving the four operations and draw a scaled bar graph to represent a data set with several categories.
Type: Problem-Solving Task
Virtual Manipulatives
Students use this interactive tool to explore the connections between data sets and their representations in charts and graphs. Enter data in a table (1 to 6 columns, unlimited rows), and preview or print bar graphs, line graphs, pie charts, and pictographs. Students can select which set(s) of data to display in each graph, and compare the effects of different representations of the same data. Instructions and exploration questions are provided using the expandable "+" signs above the tool.
Type: Virtual Manipulative
In this activity, students can create and view a histogram using existing data sets or original data entered. Students can adjust the interval size using a slider bar, and they can also adjust the other scales on the graph. This activity allows students to explore histograms as a way to represent data as well as the concepts of mean, standard deviation, and scale. This activity includes supplemental materials, including background information about the topics covered, a description of how to use the application, and exploration questions for use with the java applet.
Type: Virtual Manipulative
Parent Resources
Problem-Solving Task
The purpose of this task is for students to solve problems involving the four operations and draw a scaled bar graph to represent a data set with several categories.
Type: Problem-Solving Task