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Algebra and Beyond

Real World Systems of Linear Equations | Project Based Learning

Real World Systems of Linear Equations | Project Based Learning

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Students will analyze systems of equations in the real world.


Note to Teacher

Project Handout (PDF file & 100% Editable PPT file)

  • Part A & B: (2 versions for differentiation) Students research the growth of a tree and write an equation to represent the growth. Then, they determine when their tree will be the same height as my tree, which was planted five years ago. They find their solution using the substitution or elimination method.
  • Part C: Create a graph to show the system.
  • Part D: Analyze the results.
  • Part E: Create a visual of the tree and some facts about the tree.

Answer Key: All 40 scenarios for the different growth rates has been calculated, including the possible solutions. Answers to all the analytical questions.

Rubric (PPT file): 100% editable

Student Sign-Up Sheet: Excel sheet for students to choose their tree and the growth rate

Example Visual (PDF file): An example of Part E to show students.

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Information about Real World Projects


Students are able to demonstrate their knowledge and understanding of math in real world settings. Authentic projects that can be used as individual or group work. Project based learning is perfect to integrate within a unit of study or used as a summative assessment.



• Note to Teacher describing how to use the project
• Student handout (editable)
• Rubric (editable)

*Some projects include extra handouts and/or videos

© Algebra and Beyond
This product is intended for personal use by ONE teacher only. It is a digital download and no physical product will be sent.

Reviews from Educators

I loved the fact that it got the students out of the classroom into the real world. It's often difficult to convince student that math really does connect to life. This made it more than obvious! – Karyn T.

This is an excellent project that  really gets the students engaged. I love how it encompasses so many areas of graphical analysis and at the same time allows students to be creative while demonstrating their knowledge. – Denise M.

I used this at the end of our unit. My students were so engaged while working through the situation. It was refreshing to hear the students explain to me how they are going to use math after high school! Great resource. – Kelley N.

I am always looking for interesting, engaging activities for my students that take them outside of their comfort zone. This was perfect. It was not too hard for my lower students. I love that they were able to be creative. – Debra S.

This is soooo much fun! I absolutely love that it can be used in class and/or for distance learning. I teach ELLs, and it is a great way to make sure they understand certain concepts, as well as practice their English speaking skills at the same time. Thank you so much!! Highly recommended!! :-) – Tara B.

Since we aren't in a traditional setting, I decided to use this in lieu of a final exam. The kids loved it and were very creative. Thanks for creating something out of the box! – MathMakestheWorldGoRound

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Real World Math Projects

I am always trying to create or find projects where each students' project will be different than every other students in the class because it is more authentic this way. And of course, I want it to be applicable in the real world! This is not always easy to make because if every student’s project is different, or even has an unlimited number of solutions, checking each one is extremely difficult and time-consuming for the teacher. Well, guess what?!...these projects are authentic.

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