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  • Writer's pictureSarah WINCHESTER

The Importance of Algebraic Equations in Real Life: Examples and Applications

If you're like most people, you probably haven't thought about algebraic equations since high school. But did you know that algebraic equations play a crucial role in our daily lives? From calculating mortgage payments to designing bridges and analyzing data, algebraic equations are essential tools that help us solve real-world problems.


In this post, we'll explore the practical applications of algebraic equations in real life, providing you with examples of how they can be used in everyday situations. We'll also discuss some creative ways to teach algebraic equations to middle school students, including art projects and problem-solving competitions. So, buckle up and get ready to learn about the importance of algebraic equations in real life!


Applications of Algebraic Equations


Algebraic equations are used in various fields such as finance, engineering, science, and many more. Let's take a look at some real-life scenarios where algebraic equations play a crucial role:


In finance, algebraic equations are used to calculate mortgage payments, determine interest rates, and forecast future earnings. Without these equations, it would be impossible for banks to accurately calculate interest rates and loan payments.



In engineering, algebraic equations are used to design bridges, buildings, and other structures. By using algebraic equations, engineers can determine the weight limits, strength, and stability of structures, ensuring that they are safe and reliable.


In science, algebraic equations are used to analyze data and make predictions. For example, scientists use algebraic equations to model the spread of diseases, predict weather patterns, and understand the behavior of atoms and molecules.


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Creative Approaches to Teaching Algebraic Equations


Middle school can be a tough time for students to learn algebraic equations. However, with the right approach, algebraic equations can be made accessible, engaging, and even fun. Here are a few creative approaches to teaching algebraic equations:


Art projects that incorporate algebraic equations

By incorporating art into math lessons, students can engage with algebraic equations in a creative and fun way. For example, students could use algebraic equations to create geometric designs, or use algebraic equations to calculate the angles needed to create a piece of artwork. Here is a creative example to create stained glass art work using Linear Equations CLICK HERE TO SEE IT


Problem-solving competitions to encourage student engagement

Another way to make algebraic equations more engaging is to turn them into a competition. Teachers can organize problem-solving competitions where students are challenged to solve complex algebraic equations. This approach encourages students to engage with algebraic equations in a fun and challenging way, while also promoting teamwork and collaboration.


Tips for making algebraic equations more engaging and relatable


So, what can teachers do????


Here are some tips:


Use real-life scenarios: When introducing a new concept, start with a relatable real-life scenario. For example, when introducing the concept of variables, use an example of a student's allowance that changes each week. Students can then use algebraic equations to solve the problem and find out how much money they will have at the end of the month.


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Incorporate art projects: Art projects can be a fun and creative way to teach algebraic equations. For example, students can create a mosaic using algebraic equations to determine the color of each tile. This helps them visualize how equations work and make connections between math and art.


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Encourage problem-solving competitions: Problem-solving competitions can be a great way to engage students in math and promote teamwork. Students can work in groups to solve challenging algebraic equations and compete against other groups to see who can solve them the fastest. This not only makes math fun, but it also helps students develop critical thinking skills.


Use online resources: There are many online resources available for teachers to use in their classrooms, such as Khan Academy, Math Playground, and IXL Math. These resources offer interactive lessons, practice problems, and games that can make learning algebraic equations more engaging and interactive. There are always so many activities on TeacherPayTeachers that are great resources to use in the classroom.


Create Kinesthetic activities: There are many ways to collect data that could create a great way to get kids up and moving around. You could do relay racing, the wave, timed pushups or jumping jacks.



Have students inact the graph they see by moving slower or faster with the changing graph. Get creative with ways to create a constant rate of change. Have students inact the graph they see by moving slower or faster with the changing graph. Here is a great Desmos activity that has turtles racing to help get your ideas going.




In conclusion, algebraic equations are an essential part of everyday life, and it's crucial to make them accessible and engaging for students. By using real-life scenarios, art projects, problem-solving competitions, and online resources, teachers can help students develop a love for math and see the practical applications of algebraic equations in the real world. So, let's make algebraic equations fun and exciting for the next generation of mathematicians!



What have you used in your classroom before that engages students?


What are you willing to try out tomorrow in your classroom?






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