Description
Empower your students as mathematicians with this Linear vs. Exponential Growth Functions Guided Discovery Math Investigation Activity! In this inquiry-based activity, students use the Desmos Graphing Calculator to investigate and compare linear growth vs. exponential growth through graphing, pattern recognition, and real-world applications.
Instead of simply memorizing equations, students discover what the numbers in exponential functions represent and compare these patterns to related linear functions. After making predictions about the similarities and differences between linear and exponential functions, students test their theories, refine their thinking, and apply their discoveries to real-world growth scenarios.
When students understand the “why” behind linear growth vs. exponential growth, the “how” becomes much easier!
Why will you and your students love this activity?
✔ Engages students through hands-on exploration and inquiry-based learning
✔ Encourages conceptual understanding instead of memorization
✔ Helps students compare linear and exponential growth visually and algebraically
✔ Builds strong connections between equations, tables, graphs, and real-world situations
✔ Supports critical thinking and mathematical reasoning
✔ Uses Desmos Graphing Calculator to help students verify patterns and make discoveries
✔ Editable and low-prep — ready to use with minimal teacher preparation
✔ Great for lesson introductions, reinforcement, review, or enrichment
With this activity, students will:
- Compare linear growth and exponential growth patterns
- Analyze how parameters affect linear and exponential functions
- Use tables, graphs, and equations to identify function behavior
- Make predictions and test ideas using Desmos
- Write equations to model real-world linear and exponential growth situations
- Strengthen conceptual understanding of exponential functions
What’s included?
✔ 4 student investigation pages
✔ Fully worked answer key
✔ PDF format
✔ Editable PowerPoint version
Before completing this activity, students should already know how to:
- Evaluate expressions with exponents
- Create x-y charts from equations
- Plot ordered pairs and graph functions
Click on the VIEW PREVIEW button at the top of this page to see a sample of this must-have activity!
Other resources you may like:
- Exponential Functions and Sequences Unit with Video Lessons (Algebra 1 Unit 6)
- Visual Patterns and Sequences Activity for Linear and Nonlinear Functions
- Algebra 1 Discovery-Based Learning Activities and Lessons Bundle
I also encourage you to check out my related blog post, Guided Discovery Learning: Revamp Your Math Lessons and Empower Your Students, for more helpful tips and strategies.
Thank you for visiting my store! I hope you will follow me for all the latest news and updates on my products. You can connect with me further at:
Linear vs. Exponential Growth Functions Discovery Math Investigation Activity
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Description
Empower your students as mathematicians with this Linear vs. Exponential Growth Functions Guided Discovery Math Investigation Activity! In this inquiry-based activity, students use the Desmos Graphing Calculator to investigate and compare linear growth vs. exponential growth through graphing, pattern recognition, and real-world applications.
Instead of simply memorizing equations, students discover what the numbers in exponential functions represent and compare these patterns to related linear functions. After making predictions about the similarities and differences between linear and exponential functions, students test their theories, refine their thinking, and apply their discoveries to real-world growth scenarios.
When students understand the “why” behind linear growth vs. exponential growth, the “how” becomes much easier!
Why will you and your students love this activity?
✔ Engages students through hands-on exploration and inquiry-based learning
✔ Encourages conceptual understanding instead of memorization
✔ Helps students compare linear and exponential growth visually and algebraically
✔ Builds strong connections between equations, tables, graphs, and real-world situations
✔ Supports critical thinking and mathematical reasoning
✔ Uses Desmos Graphing Calculator to help students verify patterns and make discoveries
✔ Editable and low-prep — ready to use with minimal teacher preparation
✔ Great for lesson introductions, reinforcement, review, or enrichment
With this activity, students will:
- Compare linear growth and exponential growth patterns
- Analyze how parameters affect linear and exponential functions
- Use tables, graphs, and equations to identify function behavior
- Make predictions and test ideas using Desmos
- Write equations to model real-world linear and exponential growth situations
- Strengthen conceptual understanding of exponential functions
What’s included?
✔ 4 student investigation pages
✔ Fully worked answer key
✔ PDF format
✔ Editable PowerPoint version
Before completing this activity, students should already know how to:
- Evaluate expressions with exponents
- Create x-y charts from equations
- Plot ordered pairs and graph functions
Click on the VIEW PREVIEW button at the top of this page to see a sample of this must-have activity!
Other resources you may like:
- Exponential Functions and Sequences Unit with Video Lessons (Algebra 1 Unit 6)
- Visual Patterns and Sequences Activity for Linear and Nonlinear Functions
- Algebra 1 Discovery-Based Learning Activities and Lessons Bundle
I also encourage you to check out my related blog post, Guided Discovery Learning: Revamp Your Math Lessons and Empower Your Students, for more helpful tips and strategies.
Thank you for visiting my store! I hope you will follow me for all the latest news and updates on my products. You can connect with me further at:
