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Equivalent Expressions

Grade 7: Learn to use properties and combining like terms to create equivalent forms.

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Beginner 15–20 minutes Expressions & Equations
Expressions & Equations Page 4 of 8
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At a Glance

Equivalent Expressions
Binder SectionExpressions & Equations
DifficultyBeginner
Estimated Time15–20 minutes
PrerequisitesNone
Essential Question

How can I use properties and combining like terms to create equivalent forms and explain why my method works?

Visual Model
4Thousands 3Hundreds 2Tens 7Ones

4,327 = 4,000 + 300 + 20 + 7

Goals

Learning Targets

  • I can identify the important quantities and representations in Equivalent Expressions.
  • I can apply an accurate strategy and show each step.
  • I can explain and verify my conclusion.
Click each word

Interactive Vocabulary

Reveal one step at a time

Worked Examples

Example 1

Simplify 4x+3+2x−5.

1

Combine x-terms and constants.

Notice and correct

Common Misconceptions

Using a rule before identifying what the quantities represent

Label the information and connect the rule to a model.

Skipping intermediate steps

Show equivalent steps so an error can be located and corrected.

Accepting an unreasonable result

Estimate, substitute, or compare with the original context.

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Algebraic Models and Functions

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Warm-Up Guided Independent Challenge
1
Quick Start

Warm-Up

Warm-up 1

Directions: Before you try

State the main idea of Equivalent Expressions in your own words and give one example.

Picture both sides of the equationUse the picture to organize what you know before you solve.
xkeep both sides balanced

Choose how you want to work or answer.

2
We Do

Guided Practice

Guided 1

Directions: Practice with support

Solve a Grade 7 Equivalent Expressions problem chosen by your teacher. Explain the strategy after every step.

Picture the parts and the wholeUse the picture as you work through each step.
equal partscompare the shaded part with the whole

Choose how you want to work or answer.

3
You Do

Independent Practice

Independent 1

Directions: Show what you know

Create and solve a new Equivalent Expressions example using different values.

Picture both sides of the equationUse the picture to organize what you know before you solve.
xkeep both sides balanced

Choose how you want to work or answer.

4
Stretch Your Thinking

Challenge & Real-World Practice

🧩 Challenge

Challenge: Create a real-life situation involving Equivalent Expressions with at least two constraints. Solve it in two ways, compare the methods, and explain which is more efficient.

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Success Criteria

Before you begin, I can…

  • I can represent Equivalent Expressions accurately.
  • I can choose and carry out an efficient strategy.
  • I can justify each step and verify the result.
  • I can apply the idea in a new context.
1
Question 1

What should happen first in a Equivalent Expressions problem?

2
Question 2

Which response gives the strongest evidence of understanding?

3
Question 3

What is an effective accuracy check?

4
Question 4

Why should equivalent steps be shown?

5
Question 5

What should happen after finding a mistake?

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Next Lesson: Equations and Inequalities → Back to Binder Topics

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