Systems of Equations Graphic Organizer Packet

Product description

From the author

If you are a high school math teacher, finding resources that best serve for your students is of the utmost importance! This is a Systems of Equations Graphic Organizer Packet that is filled with purposeful information that your students can put to use right away.

Graphic organizers have always been a great way to organize information, so these are no exception! There are 5 sheets included with 2 different versions. One version is completely filled out with no blanks. The other version has blanks that need to be filled in.

All you have to do is print and go.

Included in the packet:

-- Systems of Equations: 3 Types of Solutions Graphic Organizer

-- Systems of Equations: 3 Methods for Solving Graphic Organizer

-- Systems of Equations: Choosing a Method to Solve Flow Chart

-- Systems of Equations: Choosing a Method to Solve Check for Understanding (w/ answer key)

-- Systems of Equations: Number of Solutions Check for Understanding (w/ answer key)

These graphic organizers can be printed and distributed to students at the start of this unit. It serves as a great reference point for them. The checks for understanding can be administered along the way (and more than once, if you need to).

I hope you enjoy!

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I can be contacted for questions and concerns at smithmathtpt@gmail.com.

In the classroom

Teaching tips & learning objectives

Learning objectives

Determine whether a system of linear equations has one, no, or infinite solutions by comparing slopes and y-intercepts.
Choose the most efficient method (graphing, substitution, or elimination) for a given system of equations, with a reason for the choice.
Solve systems of linear equations using graphing, substitution, and elimination methods.

Teaching tips

Hand out the blank student version of each graphic organizer at the start of the systems-of-equations unit, and keep the completed version for your own reference or for absent students.
Use the flow chart alongside the Methods for Solving organizer, since it turns the same graphing/substitution/elimination decision into a step-by-step yes/no path.
Administer the two Check for Understanding worksheets more than once across the unit, since each includes its own completed answer version for quick grading.

Skills covered

Classifying systems by number of solutions — students compare slopes and y-intercepts to predict one, no, or infinite solutions before solving.
Method selection — students justify choosing graphing, substitution, or elimination for 8 different systems of equations.
Solving by substitution — organizer examples isolate a variable with an "invisible 1" coefficient before substituting.

Good to know

Questions teachers ask about this resource

Do the graphic organizers and check-for-understanding worksheets cover the same three methods?

Yes — the Methods for Solving organizer and the Choosing a Method flow chart both use graphing, substitution, and elimination, and the matching Check for Understanding worksheet has students pick one of those three methods for each of 8 systems.

How does the flow chart decide which method to use?

It starts by asking how many of the two equations are already written in slope-intercept form, then follows yes/no branches about invisible coefficients or having graph paper available to land on elimination, substitution, or graphing.

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Resource details

Concepts & topics

Core concepts

systems of linear equations
slope-intercept form
substitution method
elimination method
graphing method

Topics

Check for understanding Systems of Equations Smith Math Calculus graphic organizers Formulas Equations Flow charts Substitution Elimination

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Categories this resource belongs to

Math Graphic Organizers Algebra Graphic Organizers Teacher Tools Popular Graphic Organizers Graphic Organizers Graphic Organizers by Subject

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