6th Grade Variables Discovery Lab | Independent Dependent Variables 6.EE.C.9

⭐ INDEPENDENT & DEPENDENT VARIABLES DISCOVERY LAB — 56-PAGE GRADE 6 MATH UNIT | CCSS 6.EE.C.9

Help your 6th graders truly understand **independent and dependent variables** through a discovery-based unit built around real-world relationships, tables, graphs, and equations.

Instead of handing students a worksheet and a definition, this 56-page Discovery Lab gives them four connected investigations—a lemonade stand, distance traveled, a phone plan, and plant growth—to uncover how two quantities change together and how the same relationship can be represented in multiple ways.

Aligned to **CCSS 6.EE.C.9**, the unit combines teacher-led discovery, guided notes, visual references, vocabulary, real-world scenarios, graphing, equation writing, formative assessment, and complete answer keys.

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Most variables resources introduce vocabulary and move straight to practice. This Discovery Lab gives students a structured experience in which they:

**Identify Variables → Build a Table → Graph the Relationship → Derive an Equation → Analyze the Relationship → Reflect**

The four scenarios include both proportional and non-proportional relationships so students can compare how tables, graphs, and equations describe different relationships.

📦 WHAT'S INCLUDED — 56 PAGES

### 👩‍🏫 TEACHER INSTRUCTIONAL SUPPORTS

• Step-by-step Teacher Overview with pacing guide, materials list, and differentiation tips

• Full CCSS Alignment Chart with Standards for Mathematical Practice

• 4 Teacher Scripts with Math Talk Moves—one for each scenario

### 📊 VISUAL REFERENCES

• **Anchor Chart 1 — Independent vs. Dependent Variables** with examples and non-examples

• **Anchor Chart 2 — Table → Graph → Equation** workflow using a worked cookies scenario

• **Vocabulary Foldable** with 6 key terms:

* Variable * Independent * Dependent * Discrete * Continuous * Proportional Relationship

### 🔎 FOUR REAL-WORLD DISCOVERY SCENARIOS

**🍋 Lemonade Stand — d = 2.50t** Proportional relationship

**🚗 Distance Traveled — d = 45t** Proportional relationship

**📱 Phone Plan Cost — c = 20 + 0.05m** Non-proportional relationship

**🌱 Plant Growth — h = 2w + 5** Non-proportional relationship

Each scenario includes:

• Teacher script • Variable identification • Table construction • Coordinate-plane graphing • Equation derivation • Proportional vs. non-proportional analysis • Reflection

### 📝 PRINTABLE TOOLS

• Coordinate-plane grid paper in two scales

• Scenario-specific axis-labeling guides

### ✅ ASSESSMENT

• 4 Exit Tickets—one per scenario

• 4-page, 12-question Quiz

• Student Self-Assessment Rubric with reflection prompts

### 🔑 COMPLETE ANSWER KEYS

• Worked answer keys for all 4 scenarios

• Full answer keys for the Exit Tickets

• Full answer key for the Quiz

━━━━━━━━━━━━━━━━━━━━━━━━━━━━ 🎯 CCSS ALIGNMENT ━━━━━━━━━━━━━━━━━━━━━━━━━━━━

**CCSS.MATH.CONTENT.6.EE.C.9** — Use variables to represent two quantities in a real-world problem that change in relationship to one another; write an equation to express one quantity, thought of as the dependent variable, in terms of the other quantity, thought of as the independent variable; analyze the relationship between dependent and independent variables using graphs and tables, and relate these to the equation.

The resource also develops **6.EE.B.7, 6.RP.A.3**, and Mathematical Practices MP1, MP2, MP3, MP4, MP7, and MP8.

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**Day 1:** Build the two anchor charts and assemble the Vocabulary Foldable

**Days 2–3:** Lemonade Stand discovery

**Days 4–5:** Distance Traveled discovery

**Days 6–7:** Phone Plan discovery

**Days 8–9:** Plant Growth discovery

**Day 10:** Self-Assessment + review

**Day 11:** 12-question Quiz

**Day 12:** Reteach using Exit Tickets as needed

Each scenario is scaffolded from supported identification of variables to guided table construction and independent equation derivation.

━━━━━━━━━━━━━━━━━━━━━━━━━━━━ 🧩 DIFFERENTIATION SUPPORT ━━━━━━━━━━━━━━━━━━━━━━━━━━━━

The scenario labs move students through:

**Supported → Guided → Independent**

Teacher scripts support whole-group instruction, while scaffolded pages can be used for small groups and intervention.

🎯 PERFECT FOR

• 6th grade math units on variables, equations, and graphs

• 7th grade proportional-relationship review

• Special education with scaffolded supports

• Homeschool math

• Small-group instruction and intervention

• Substitute plans

📄 RESOURCE DETAILS

• Grade Level: 6th Grade • Subject: Math → Algebra → Expressions & Equations • Standard: CCSS 6.EE.C.9 • Teaching Duration: 2–3 weeks • Pages: 56 • Answer Key: Included • Format: Printable PDF • Paper Size: US Letter (8.5" × 11")

The student lab pages are designed to print cleanly in black and white, while the anchor charts and vocabulary foldable can be printed in color.

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