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🔢 Grade 7 • 📐 Proportional Relationships

Proportional Relationships

Recognize proportional relationships, find constants of proportionality, and use percents and unit rates to solve real-world comparison problems.

📋 What You'll Learn

  1. 1 Decide whether two quantities are in a proportional relationship
  2. 2 Find and interpret the constant of proportionality from tables, graphs, equations, and contexts
  3. 3 Represent proportional relationships with equations and graphs
  4. 4 Solve percent and proportional reasoning problems in real contexts

🗺️ Learning Path

📖

Lesson

Read the full step-by-step lesson with examples and key vocabulary

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📝

Proportional Relationships Practice

medium • 18 minutes • 8 problems

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📝

Percent, Discounts, and Unit Rates Worksheet

medium • 20 minutes • 8 problems

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📝

Graphs, Equations, and Proportions Worksheet

hard • 20 minutes • 8 problems

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📝

Proportional Tables, Scale, and Percent Change Worksheet

hard • 22 minutes • 8 problems

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🎯

Practice Quiz

Test your knowledge with an interactive quiz and get instant feedback

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👩‍🏫

Teaching Guide

For parents & teachers — strategies, activities, and differentiation tips

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🔗 Related Topics

Review earlier skills, open nearby same-grade topics, or move to the next connected idea in the sequence.

Before This Topic

Use these earlier skills when the current lesson feels too fast or assumes knowledge students do not yet control.

Build BackgroundGrade 6
📊Ratios and Unit Rates

Understand ratio language, equivalent ratios, and unit rates so students can compare quantities and solve real-world problems clearly.

Build BackgroundGrade 5
🔟Decimal Place Value and Operations

Read, compare, round, and compute with decimals through the thousandths place using place value reasoning.

Move to the Next Skill

These are the strongest next-step topics when students are ready to carry this idea into a harder or broader application.

Up NextGrade 7
🎲Probability and Sampling

Use random samples, probability models, simulations, and compound events to reason about chance and draw evidence-based conclusions.

Up NextGrade 8
📈Linear Relationships and Slope

Interpret slope as rate of change, identify initial value, and compare linear models from tables, graphs, equations, and real contexts.