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Graphing Nonlinear Systems of Equations~Linear~Quadratic~Activity

Rated 5 out of 5, based on 26 reviews
5.0 (26 ratings)
;
Caryn Loves Math
2.2k Followers
Grade Levels
8th - 11th
Resource Type
Standards
Formats Included
  • PDF
Pages
27 pages
$2.00
$2.00
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Caryn Loves Math
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What educators are saying

This is a great activity to get students up and moving to help with engagement. My students liked being able to checked their graphs and equation solutions by mathcing.
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Description

This activity is designed to help students with solving nonlinear systems of equations by graphing (or with writing them).

This activity also gets students up and about. Place the 12 cards on the wall around your room. Students pick any card to begin with. They should graph the functions on the bottom of the page. After graphing on their own paper, students look around the room for a graph that matches theirs. Then they graph the next problem. They should continue until they return to the card they started with.

Option 2: Have the student start with the graph and write a system of equations to match the graph. Then continue until they return to the card they started with. Remember to specify the form you want the equation in (all the equations are in standard form).

Included are 2 versions of this activity.

• One with 12 cards for use as a walk-around activity (includes an absent student version with all the graphs printed on 2 pages)

• A shorter version with only 6 cards great for table work, bell work or use as a review

To help with grading, I have included 2 student answer sheets: One that includes graph paper, and another with just boxes.

Possible Uses

- Mid-Lesson or End of Lesson Check for understanding

- Math Station for students that have finished work early

- Test Review

- Homework Alternative

- Bell work

My Other Systems of Equations Activities

How many solutions Sort - No solution, One Solution or Infinitely Many

Solving by Graphing - Walk Around Activity

Solving by Graphing Level 2 Walk Around Activity

Graphing Systems of Linear Inequalities - Walk Around Activity

Sorting Activity - Solving by Substitution

Total Pages
27 pages
Answer Key
Included
Teaching Duration
1 hour
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Standards

to see state-specific standards (only available in the US).
Solve a simple system consisting of a linear equation and a quadratic equation in two variables algebraically and graphically. For example, find the points of intersection between the line 𝘺 = –3𝘹 and the circle 𝘹² + 𝘺² = 3.
Understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane, often forming a curve (which could be a line).
For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship.
Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.
Graph linear and quadratic functions and show intercepts, maxima, and minima.

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