Systems of Inequalities Task Cards: Solving by Graphing and Word Problems

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Task Cards get students to be on task much more efficiently than doing a boring worksheet. They are engaged for longer periods of time and can work cooperatively. There are 12 cards in total, 8 graphing system of inequalities where students must first rearrange them in slope-intercept form. They also have 4 task cards that are on word problems where they have to read the problem, choose a variable to represent each situation, and create a system to model the problem. I’ve included the answers and my work to make it easier for you to grade.

Suggested use of task cards: Print one set of task cards. Pair/group students together and set up a rotation so that each pair/group knows who they will hand off their task card to. Give each pair a task card and each student should have his/her own recording sheet to show work and record their answers. You can also give each pair/group or individual student a Steps to Success worksheet to serve as a guide when working on the problems.

Time the students (five or six minutes) and then have them switch the card by passing it to another pair of students in the rotation. This will vary depending on your class size, seating arrangements, class configuration, etc. Colored pencils work great on these problems. Also discuss the problems that have no solution and pay close attention to task card number 1 versus number 2 where number 1 will have solutions (although not apparent from the graph) and number 2 will not have any solutions since the lines are parallel.

You can also print a set per small group (of 3 or 4 students) and have them go through the task cards together. It’s completely up to you.

I encourage you to have several copies of the answers printed so that if they get stuck, you can rotate these too so that you can walk around and help those that are really struggling.

COMMON CORE: ALGEBRA
Domain: Creating Equations
Create equations that describe numbers or relationships.
HSA-CED.A.1 Create equations and inequalities in one variable and use them to solve problems.
HSA-CED.A.2 Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.
HSA-CED.A.3 Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or nonviable options in a modeling context.
Total Pages
8
Answer Key
Included
Teaching Duration
1 hour

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Systems of Inequalities Task Cards: Solving by Graphing an
Systems of Inequalities Task Cards: Solving by Graphing an
Systems of Inequalities Task Cards: Solving by Graphing an