Standard 2 : Demonstrate understanding by representing problems in multiple ways.



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General Information

Number: MA.K12.MTR.2
Title: Demonstrate understanding by representing problems in multiple ways.
Type: Standard
Subject: Mathematics (B.E.S.T.)
Grade: K12
Strand: Mathematical Thinking and Reasoning

Related Benchmarks

This cluster includes the following benchmarks
Code Description
MA.K12.MTR.2.1: Demonstrate understanding by representing problems in multiple ways.  

Mathematicians who demonstrate understanding by representing problems in multiple ways:  

  • Build understanding through modeling and using manipulatives.
  • Represent solutions to problems in multiple ways using objects, drawings, tables, graphs and equations.
  • Progress from modeling problems with objects and drawings to using algorithms and equations.
  • Express connections between concepts and representations.
  • Choose a representation based on the given context or purpose.
Clarifications:
Teachers who encourage students to demonstrate understanding by representing problems in multiple ways: 
  • Help students make connections between concepts and representations.
  • Provide opportunities for students to use manipulatives when investigating concepts.
  • Guide students from concrete to pictorial to abstract representations as understanding progresses.
  • Show students that various representations can have different purposes and can be useful in different situations. 


Related Resources

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

Lesson Plans

Name Description
Tranquilizer Chemistry - Temperature and Reaction Rates:

Students must select a tranquilizer dart to be used by the US Fish and Wildlife Service for researching large animals. Next, they must help the US Geological Survey choose a new drilling device. Each projectile has varying characteristics based on the temperature of the chemicals inside. Students must select which temperature lends itself to a reaction suitable for service in animal research or geological studies. Other factors due to temperature come into play as well, such as density and melting point.

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.

Batter Up Travel Plans:

A traveling baseball team coach is asking a group of engineers to provide a travel plan from Boston to Jacksonville, Florida with the hopes of attending Major League baseball games along their route. The students will design the route on a large US map highlighting their travel plan and submit the map and a written rationale of their plan.

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.

Perspectives Video: Expert

Name Description
A Standard Algorithm:

Ever wonder why the benchmarks say, “a standard algorithm,” instead of, “the standard algorithm?" Dr. Lawrence Gray explores the role that standard algorithms can play in building and exhibiting procedural fluency through this Expert Perspectives video.

Perspectives Video: Teaching Idea

Name Description
Double Bubble Diagram to Compare Math Concepts:

Unlock an effective teaching strategy for helping students make connections in mathematics using the Double Bubble Diagram in this Teacher Perspectives video for educators.