Solving systems of equations project in slope intercept form - Up Shirt Creek
Description
Get students hooked on systems of equations while planning the opening of their first t-shirt business! Students learn how to prepare for opening day using equations written in slope intercept form, values compared in a table, and linear equations graphed on a coordinate plane. This low prep math project based learning task is a win-win for students and teachers alike.
The Up Shirt Creek Mastery Task gives students an opportunity to use systems of equations in a real-world context. Students will use linear equations to determine the expense and revenue of a start-up t-shirt shop called Up Shirt Creek, then predict when they will begin making a profit.
Included with this product:
- Instructional Guide for four 30-minute blocks or two 60-minute blocks
- Six versions of the Up Shirt Creek Student Worksheet
- GATE version of the Up Shirt Creek Student Worksheet
- Answer Keys for all six versions
- Nine Extension Task Ideas
You will love the easy prep … just provide copies and a pencil. Inquiry based tasks like Up Shirt Creek encourage greater engagement and academic outcomes. These tasks make test prep in the spring a breeze.
Your students will love the collaborative environment. As students work together, they will enjoy mathematical discussion and find imaginative solutions. Creativity and collaboration lead to greater success. It’s a win-win!
Students will:
- Determine the cost of purchasing t-shirts from the wholesaler.
- Calculate the income from selling t-shirts to the public.
- Create equations in slope intercept form to represent expense and revenue.
- Assess profit.
- Find meaning in negative solutions regarding income, expense and profit.
- Build a table of values to represent expense and revenue.
- Graph the linear system based on the data.
- Evaluate the “break even” point of the system.
- Analyze the graph for profit margins.
Students use the information provided to find the rate of change of each linear equation and write these equations in slope intercept form. This information will then be used to complete a table of values and a graph the system. Students will decipher the significance of their findings and give meaning to the term “profit.” This task creates depth and complexity to the understanding of values within a system of equations, and the use of systems find the “break even” point.
This task is appropriate for use with upper-level middle school students and any level of high school students. Students should already know how to multiply with rational numbers. This project takes one to two hours to complete based on student mathematics level. It is easy to split into shorter lessons or break it up for use within a full unit on systems. This task provides rigorous preparation for 8th grade SBAC performance tasks.
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What other teachers are saying…
“Students liked it the structure of the activity and were engaged.” - Ajay G.
“My students loved this project. It was easy for them to understand. Students can relate to the idea of selling t-shirts to make a profit. The math calculations are easy to complete, yet the task has a high ceiling as student move on in their understanding of revenue, expense, profit and breaking even. As a teacher I appreciate that students had to show their data and solutions using a table, a graph, and equations. This project makes solving a system of equations simple and practical. Multiple versions allow student to work collaboratively while still completing their own calculations, tables and graphs.” - Matthew H.
“This was a perfect Project-Based Learning opportunity for my students! I was able to utilize it for summer school!” – Elizabeth M.
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Raising Puppies Rate of Change Task
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Absolute Value
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