Unit 6, Lesson 3

Reasoning about Equations with Tape Diagrams

Grade 7

Preparation

Lesson Narrative

The purpose of this lesson is to make connections between a tape diagram and an equation of the form or Students match tape diagrams to corresponding equations and sort them into categories. Then they draw tape diagrams to represent equations. Students use the tape diagram and the equation to reason about a solution, but this is not the time to teach particular methods for solving such equations. At this point in the unit, students should reason using any method that makes sense to them.

Learning Goals

Coordinate tape diagrams and equations of the form or .

Required Preparation

Activity 3

For the digital version of the activity, acquire devices that can run the applet.

Glossary

equivalent expressions

Equivalent expressions are always equal to each other. If the expressions have variables, they are equal whenever the same value is used for the variable in each expression.

For example, is equivalent to .

When is 3, both expressions equal 21.
When is 10, both expressions equal 70.
When is any other number, both expressions still have equal value.

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Audience

Assessment Access

Reasoning about Equations with Tape Diagrams

Preparation

Lesson Narrative

Learning Goals

Required Preparation

Activity 3

Glossary

equivalent expressions

Student-Facing Goal

Student-Facing Targets

Standards Alignment

Building On

6.EE.A.4

Addressing

7.EE.B.3

Building Toward

7.EE.A.2

7.EE.B.4

Lesson 3 Resources

Teacher Support

Student Handouts

Student Task Statements