# Solving by Graphing Teacher Resources

Find Solving by Graphing lesson plans and worksheets

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#### The Lunar Lander – Ascending from the Moon

What angle? Groups determine the height of the lunar lander as it ascends from the surface of the moon and calculate the angle of elevation of the lunar lander at specific times and distances. The provided series of questions lead the...

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#### Identifying Variables: Independent and Dependent

Why did the variable add its opposite? To get to the other side. A video introduces the concept of variables. It compares and contrasts independent and dependent variables in a variety of problems.

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#### Function Notation

Function, function, what is your notation. Introduce your class to function notation with a video that shows examples of how to evaluate functions at numerical values along with algebraic values. The last example shows pupils how they...

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#### Determining Domain and Range

Introduce the concept of domain and range with a video that starts with the formal definitions of the domain and range and moves on to the practical descriptions used to determine them. The presentation explains how to find the domain...

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#### Know and/or Use Function Notation, Including Evaluating Functions for Given Values in Their Domain

Introduce the basics of evaluating a function using function notation with a video that makes connections between evaluating a function and substituting into an expression. The short presentation works through three examples of...

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#### Scatter Plots

What's my line, anyway? A video covers the aspects of finding an equation of the best-fit line for a set of data. It works through plotting the points to drawing a line that appears to represent the data. The presenter suggests finding...

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#### Inappropriate Data Usage

Correlate the responses to identify the cause. A resource presents how individuals sometimes confuse the issue between correlation and causation. The video provides examples of different variables that are correlated — but one does not...

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#### How Do You Solve a Word Problem Using a Multi-Step Inequality?

This real-world word problem seems pretty complicated, but it's really not. It only takes four steps once you have an original expression to solve this problem. There are some negative numbers involved in this inequality. So don't forget...

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#### Kingdom Problem

Probability reigns in a lesson based on compound events. Learners imagine that they have been imprisoned in a far away land, but that the king takes pity and gives them a chance at freedom based on the results of a spinner. They must...

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#### How Do You Write Inequalities in Set Builder Notation?

Set builder notation? What's that? Don't know? Need a refresher? Kind of remember? Well, watch this video and learn all about writing set builder notation. The instructor explains braces, variables, and inequalities to be able to write a...

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#### Translating Words into Symbols: Inequalities II

Six pages of practice with inequalities? You bet! Beginning with a couple of colorful examples, learners write both and English and an algebraic expression for given number lines. A "You Try!!!!" handout and a "Translating Inequalities"...

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#### Solving Absolute Value Inequalities

Start this activity with a brief description of how to solve absolute value inequalities. A space is provided to help classify the inequalities into types (greater than, less than, or equal to) and for learners to show how to graph their...

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#### Linear Inequalities in Two Variables

Use this worksheet as a warm up, a refresher exercise, or a practice after a more detailed lesson on graphing linear inequalities in two variables. Start with boundaries that are horizontal or vertical, then move into graphs with...

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#### Selecting the Best Method for Solving Quadratic Equations

In this solving quadratic equations worksheet, students select the best method to solve a quadratic equation and then solve five quadratics. Fully worked examples are provided.

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#### How Do You Graph the Intersection of Two Inequalities?

Intersection. Isn't that where paths cross? And so it is in math also. Observe the teacher as she draws a number line and plots two inequalities on it. She then explains how to get the intersection of these two lines. Then she draws...

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#### How Do You Solve an AND Compound Inequality by Rewriting as Two Inequalities?

What is a compound inequality? Most inequalities have two parts, one on each side of the inequality symbol. In this compound inequality there are two inequality symbols and three terms. Watch this video and learn how to solve this...

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#### Graphing Greenery

Students gather leaves and trace them on graph paper. They plot coordinates that approximate the shape of the leaves and share those coordinates as "worksheets" for other students to complete.

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#### Translate Word Phrases and Sentences into Equations

Use this video to show your learners an example of how to translate word phrases into an equation to solve a real-world problem. The presenter begins with a review of how to use cross products to solve a proportion, including how to do...

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#### Slope and Direct Variation

We all know linear equations are special, but the direct variation equation is extra special! The video begins with a set of data to illustrate a direct variation relationship. It then completes examples of writing direct variation...

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#### What is a Linear Inequality?

What makes an expression an inequality? Well, it would be considered an inequality if the expression has a greater than symbol, a less than symbol, a greater than or equal to symbol, or a less than or equal to symbol. This would mean...

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#### Finding the Length of a Hypotenuse

Finding the length of the hypotenuse of a right triangle can be done in two ways as shown in this video. First, the hypotenuse is found using the Pythagorean Theorem. Next, the distance formula is used to solve the same problem.

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#### Scatter Plots and Line of Best Fit

Demonstrate how to use a box and whisker plot to place a line of best fit accurately with an educational video. It begins with a review of box and whisker and line of best fit, and then uses an application problem to describe the process.

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#### Discovery Research of Quadratics

Students investigate the properties behind the quadratic equation. In this algebra lesson, students identify quadratic equation in the real world. They graph the parabola and identify the vertex and intercepts.

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#### Math 7- 40 week Get 1 Share 1 Review

Week 40- Review worksheet. Many skills are covered: measurement conversion, number sense, GCF, angles, function tables, surface area of a cylinder, solve equations with addition or subtraction, and only one or two problems to practice...