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Proportional Relationship Equations

Represent proportional relationships with y=kx.

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Beginner 15–20 minutes Ratios & Proportional Relationships
Ratios & Proportional Relationships Page 12 of 12
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At a Glance

Proportional Relationship Equations
Binder SectionRatios & Proportional Relationships
DifficultyBeginner
Estimated Time15–20 minutes
PrerequisitesNone
Essential Question

How can I use Proportional Relationship Equations accurately and explain why the method works?

Visual Model
4Thousands 3Hundreds 2Tens 7Ones

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

Goals

Learning Targets

  • I can represent the central idea in Proportional Relationship Equations.
  • I can solve a related problem and show each step.
  • I can interpret and verify my result.
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Interactive Vocabulary

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Worked Examples

Example 1

Model the lesson idea

1

Identify the known and unknown quantities.

Notice and correct

Common Misconceptions

Using a procedure before identifying quantities

Label the information and explain why the procedure applies.

Stopping after calculating

Interpret the result and check it against the original conditions.

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Solving Proportions with Variables

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Warm-Up Guided Independent Challenge
1
Quick Start

Warm-Up

Warm-up 1

Directions: Before you try

Define Proportional Relationship Equations in your own words and give one example.

Picture the parts and the wholeUse the picture to organize what you know before you solve.
equal partscompare the shaded part with the whole

Choose how you want to work or answer.

2
We Do

Guided Practice

Guided 1

Directions: Practice with support

Solve a teacher-selected Proportional Relationship Equations problem and explain each 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 Proportional Relationship Equations example.

Picture the parts and the wholeUse the picture to organize what you know before you solve.
equal partscompare the shaded part with the whole

Choose how you want to work or answer.

4
Stretch Your Thinking

Challenge & Real-World Practice

🧩 Challenge

Create a real-life Proportional Relationship Equations problem with at least two constraints. Solve it in two ways and compare the methods.

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Success Criteria

Before you begin, I can…

  • I can represent Proportional Relationship Equations.
  • I can select and carry out an accurate strategy.
  • I can explain each step.
  • I can verify and interpret the result.
1
Question 1

What should happen first?

2
Question 2

Which response shows strongest understanding?

3
Question 3

What is an effective check?

4
Question 4

Why show equivalent steps?

5
Question 5

What follows an error?

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