# Solving by Graphing Teacher Resources

Find Solving by Graphing lesson plans and worksheets

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Lesson Planet

#### Linear Functions: Are You Ready for the Real World?

Here's a real-world activity using a business simulation. Two business accounts are used to find slope and intercept functions. The class graphs and interprets the information to find a break even point. There are plenty of worksheets...

Lesson Planet

#### Compound Inequalities and Graphing

Put geometry skills to the test! Learners solve compound inequalities and then graph the inequalities on a coordinate plane using their geometric skills. They identify the slope and y-intercept in order to graph correctly. I like this...

EngageNY

#### Graphing Systems of Equations

Expand on learners' understanding of quadratic-linear systems. Building on the graphic understanding developed in the previous lesson, pupils learn algebraic methods of solving the systems.

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#### Find Zeros of a Function Given the Graph

Introduce zeros of a function and their relationship to the graph of the function. an informative video uses the definition of a zero to help identify them on a graph and provides several examples of finding the zeros of a variety of...

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#### Determine Minimum, Maximum, Vertex, and Zeros Given the Graph

Do not always be maxed out by the vertex. A short video introduces the graphical display of the vertex and zeros of a quadratic function. The presenter provides the definitions of the minimum and maximum of the graph along with...

Lesson Planet

#### Systems of Equations and Inequalities

High school classes can use manipulatives too! Offer hands-on, interactive lessons that venture away from the typical day in your algebra class. Young mathematicians will be involved in collaborative learning, visual representations, and...

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#### Solving a System by Substitution

Solving systems by substitution can be a challenging topic in algebra I. Here is a lesson that builds on students' understanding of intercepts to begin the process of substitution, and all work is reinforced graphically to build...

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#### Linear Programming

Students explore inequalities to determine the optimal solution to maximize a profit for a company. In this linear programming lesson, students discover how to graph inequalities and how to determine the algebraic representation of a...

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#### Identify Independent Variable and Dependent Variable on Various Representational Modes

The representation of a relationship really depends. The difference between dependent and independent variables is the focus of a short video that also includes examples of determining the types of variables. The presenter makes the...

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#### Writing Linear Equations

No matter how it is written, it still is a line. A video shows class members how to take points and write the equation of the line that goes through those points. It then outlines how to develop the equation whether the points are...

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#### Perpendicular and Parallel Lines

Provide the definitions of parallel and perpendicular lines, as well as the relationships between their slopes. Two examples explain the process of finding the equation of either a perpendicular or parallel line to another line through a...

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#### Rates and Proportions

Clarify complex math concepts with a helpful video. Learners view ways to work with ratios and proportions while discussing vocabulary and notation. After solving proportions, they apply the new strategy to word problems.

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#### Use Coordinate Geometry to Represent and/or Solve Problems

A geometry video explains how to solve for midpoint, length of a line, and use the Pythagorean Theorem. It includes multiple guided practice problems for all three equations.

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#### Interpret The Rate of Change (Slope) and Intercepts Within The Context of Everyday Life

I'll do algebra, but graphing is where I draw the line! Video explains how to find the slope of a line when starting with word problems. It includes positive and negative slopes as well as how to identify intercepts.

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#### Solve Linear Formulas and Literal Equations for a Specified Variable

Mathematics is not a spectator sport. A video explains how to identify literal equations and why pupils will need to use them. It goes on to describe how to solve for a specified variable.

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#### Linear-Quadratic Systems

Why do I have to learn two different ways to solve linear-quadratic systems? Isn't one way enough? Learners first investigate the three possible situations for linear-quadratic systems (two, one, or zero solutions), then solve such...

Lesson Planet

#### Independent and Dependent Variable

Introduce learners to independent and dependent variables with an informative video.The two variables are defined via inputs and outputs. It makes clear that the independent variable is the one that the person has control over, while the...

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#### Interpret the Rate of Change/Slope and Intercepts within the Context of Everyday Life

Rates of change can be a slippery slope. The resource makes the connection between the rate of change and the slope of a line. It continues on to provide examples of how to interpret the slope and the y-intercepts of linear equations...

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#### Solving Equations

A mathematics video explains the parts of an equation and reviewing relevant vocabulary. Next, it covers one-, two-, and multi-step equations. It includes a few example problems for each type as well.

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#### Using Measures of Central Tendency

Is it better to be average or an outlier? It all depends on your perspective! The video explains the impact an outlier has on central tendency. Using multiple examples to solve for mean, median, and mode, the video proves that having an...

Lesson Planet

#### Calculate the Slope of a Line Using Two Points

Find that slope! This video does an excellent job of demonstrating how to use the slope formula to find the slope of a line using two points. The instructor first reviews the definition of slope of a line, then works three problems using...

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#### Simplify Expressions by Factoring

Got that factoring thing down? Time to apply it! A helpful video explains the process of simplifying a rational expression, showing pupils how to factor a majority of expressions using special patterns. Here is a great way to begin the...

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#### Measure of Central Tendency and Spread for One Variable Data

Statistics is a powerful branch of mathematics, and it is essential to have a solid understanding of the basics. The video gives a thorough explanation of the vocabulary related to the measures of central tendency. After defining the...

Lesson Planet

#### Evaluating Functions Using Function Notation

An instructional video teaches pupils the meaning of function notation and how to evaluate functions with function notation. Color coding in the video demonstrates where to substitute values in the function.