# Solving by Graphing Teacher Resources

Find Solving by Graphing lesson plans and worksheets
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Lesson Planet

#### Thanksgiving Math Worksheets Grades 5–8

For Teachers 5th - 8th Standards
Gobble these math worksheets up just in time for Thanksgiving. From problem solving to graphing, class members practice their math skills with a collection packed with Thanksgiving-themed worksheets.
2:43
Lesson Planet

#### Solving and Graphing Compound Inequalities - Concept

For Students 8th - 10th Standards
Introduce compound inequalities and the way mathematicians write them with a concept video. The problem explanations detail how to write, solve, and graph compound inequalities in one variable.
Lesson Planet

#### Solving and Graphing Inequalities

For Students 8th Standards
You can't go wrong with a lesson that involves candy! Learners solve and graph one-variable inequalities and use candy to graph the solution. Individuals associate open circle graphs with life savers and closed circle graphs with round...
1 In 1 Collection 13:26
Lesson Planet

#### Solving and Graphing Absolute Value Inequalities

For Teachers 8th - 12th Standards
Turning absolute value inequalities into compound inequalities and graphing them is an algorithmic skill that many young algebrists memorize instead of working to understand. This presentation really emphasizes the how's and why's of...
Lesson Planet

#### Math 7: 40-Week Review, Part 1

For Students 7th - 9th
Multiple choice and problem solving review for unit rate, irrational numbers, factorization, GCF, circle circumference, probability, solving and graphing linear equations. This is quite an assortment of topics for review, most likely...
2:56
Lesson Planet

#### How Do You Solve and Graph a Two-Step Inequality?

For Teachers 6th - 12th
Approach inequalities in a new way with this video! This video gives step-by-step instruction on how to solve a 2-step inequality and then graph the answer. Learners could use this video as a reference as they do homework, or you might...
EngageNY

#### Solving and Graphing Inequalities Joined by “And” or “Or”

For Students 9th - 10th Standards
Guide your class through the intricacies of solving compound inequalities with a resource that compares solutions of an equation, less than inequality, and greater than inequality. Once pupils understand the differences, the lesson plan...
5:59
Lesson Planet

#### How Do You Solve and Graph Inequalities from a Word Problem?

For Teachers 6th - 12th
Are you befuddled after reading this word problem? Not only is it a word problem but there are two variables, and not only does it have two variables, but it is an inequality. Don't pull your hair out! Take a deep breath and watch this...
Lesson Planet

#### Solving and Graphing Inequalities - Grade Seven

For Teachers 6th - 9th Standards
Number lines, inequalities, graphing: sounds like fun in the making! Seventh grade math sleuths solve inequalities and represent the solutions on a number line. This is a complete and well-organized instructional activity that includes...
Lesson Planet

#### Solving and Graphing Inequalities

For Teachers 9th - 11th
Students solve and graph inequalities. In this algebra lesson, students use addition, subtraction, multiplication and division to solve and graph inequalities. They solve inequalities with more than one step solutions.
Lesson Planet

#### Solve and graph inequalities

For Students 6th - 7th
Use this activity to have learners solve and and graph eighteen inequality problems. This one-page inequalities activity provided number lines for pupils to graph their solutions.
5:17
Lesson Planet

#### How Do You Solve and Graph Inequalities from a Word Problem?

For Teachers 8th - 9th
Are you befuddled after reading this word problem? Not only is it a word problem but there are two variables, and not only does it have two variables, but it is an inequality. Don't pull your hair out! Take a deep breath and watch this...
5:19
Lesson Planet

#### Graphical Systems Application Problem

For Students 9th - 11th
Sal evaluates a word problem and then solves by graphing systems of equations. This problem would be great as a daily challenge, as concept review, or as a homework assignment. Show this video only after the students have had a chance to...
2:54
Lesson Planet

#### One-Step Inequality with multiplication and division example

For Students 7th - 8th Standards
Sal expounds on the concept of solving and graphing one-step inequalities. He solves a two practice problems along the way. If shown in conjunction with Khan's other inequality video lesson, they would make a great lesson on inequalities.
Lesson Planet

#### Student Workbook: Algebra and Functions

For Students 6th - 10th Standards
A smorgasbord of functions, this packet has the basics required for your learners to be successful in the land of early algebra. The packet includes solving equations, graphing, evaluating, simplifying and basically everything else in...
2:21
Lesson Planet

#### How Do You Solve and Graph a Two-Step Inequality?

For Teachers 6th - 9th
Approach inequalities in a new way with this video! This video gives step-by-step instruction on how to solve a two step inequality and then graph the answer. Learners could use this video as a reference as they do homework, or you might...
Lesson Planet

#### Graphing Inequalities in Equations

For Teachers 8th - 9th
Can a person solve and graph inequalities in one variable? Sounds impossible but it's not! Young mathematicians solve and graph inequalities in algebraic equations. They find a range of possible values for a variable as they solve...
Lesson Planet

#### Problem Solving-Bar Graphs: Reteach

For Students 2nd - 4th
In this bar graph worksheet, students use a bar graph to solve 2 word problems, showing their work. Houghton Mifflin text is referenced.
Lesson Planet

#### Problem Solving: Bar Graphs

For Students 2nd - 4th
For this bar graph worksheet, students use 2 bar graphs to solve 4 problems, showing their work. Houghton Mifflin text is referenced.
Lesson Planet

#### Solve and Graph Inequalities

For Students 8th - 12th
In this algebra worksheet, students solve two-step inequalities and then graph them on a provided number line.  A chart is provided to explain inequality rules, and there are 30 questions.
1 In 1 Collection
Lesson Planet

#### Module 2: Systems of Equations and Inequalities

For Teachers 8th - 10th Standards
The brother-sister pair Carlos and Clarita need your class's help in developing their new pet sitting business. Through a variety of scenarios and concerns presented to the siblings, the learners thoroughly explore systems of equations...
1:34
Lesson Planet

#### What Are the Ways You Can Solve a System of Linear Equations?

For Teachers 8th - 11th
Confronted with a system of equations? This tutorial briefly describes the three ways systems of equations can be solved. Substitution, graphing, and the elimination method are all covered. The only thing this video is missing is example...
Lesson Planet

#### Linear Equations

For Students 8th - 9th
Eighth and ninth graders solve and graph 42 different problems that include writing various equations and graphing them on a grid. First, they create a table for each equation and graph it on a grid locating the x-and y-intercepts. Then,...
Lesson Planet

#### Elementary Algebra

For Students 8th - 10th Standards
Find all the Algebra 1 content in one location. A helpful eBook contains the content typically found in an Algebra 1 course. Concepts range from solving and graphing linear equations to solving and graphing quadratic equations. Pupils...
Lesson Planet

#### Graphing Linear and Non-Linear Functions Review

For Students 8th - 10th
Middle schoolers work through this three page packet to practice solving and graphing both linear and non-linear functions. They use of functional notation and determine the slop intercept of given lines. There are 10 problems to solve.
Lesson Planet

#### Graphing Data

For Students 7th
Seventh graders solve and graph 10 different problems that include various questions related to data on a graph. First, they create bar graphs to display the data given. Then, pupils determine the random sample of a population listing...
Lesson Planet

#### IB Math SL 1 - Transformations and Combinations Worksheet

For Students 10th - 12th Standards
Study transformations and combinations with your advanced math class. They solve four graphing problems by graphing the transformations of a parent graph. They determine the equations to represent the given transformations of a parent...
Lesson Planet

#### Slope of a Line

For Students 8th - 9th
For this slope of a line worksheet, learners solve and graph 2 different problems that include determining the slope of a line using the equation y=mx+b. First, they define the slope of a line and the y-intercept. Then, students use the...
Lesson Planet

#### Tables, Equations, and Graphs

For Students 8th - 9th Standards
Eighth and ninth graders solve and graph 24 different problems that include completing input/output tables and graphing the pairs. First, they find the missing values for each table and write the rule for x. Then, students write the...
Lesson Planet

#### Inverse Trig Functions

For Students 10th - 11th
Learners solve and graph 10 different problems that are the inverses of various trig functions. First, they determine which equation is equivalent to a given equation. Then, they find an angle of a right triangle, given its leg lengths....
Lesson Planet

#### Candy Combinations

For Students 5th - 8th
Here is a great set of worksheets that can be used as an entire lesson! Kids build a data table for an inverse relationship and construct a graph illustrating the data. Then they determine the domain and range of the data and write a...
Lesson Planet

#### Exponential Relationships

For Students 9th
In this exponential relationship worksheet, 9th graders solve and graph 3 different sets of exponential relationships. First, they use the x variables given to complete the equations and complete the tables. Then, students graph the...
Lesson Planet

#### Two-Step Inequalities: Solve and Graph

For Students 8th - 11th
In this inequalities activity, students solve and graph 3 two-step inequalities.
Lesson Planet

#### Math 7/8 Inequality Homework

For Students 8th - 12th
In this inequality worksheet, students solve 5 short answer and graphing problems. Students solve and graph one variable inequalities.
Lesson Planet

#### College Algebra Exam 1 Review: Solving Equations

For Students 9th - 12th
For this college algebra review worksheet, students solve 16 multiple choice problems. Students solve equations, graph linear inequalities, find the equation of a line, and the equation of circles.
Lesson Planet

For Students 8th - 10th
In this algebra worksheet  uses factoring to solve and graph quadratic equations. The three page worksheet contains explanation of topic, worked examples and five practice problems. Answers are not provided.
Lesson Planet

#### Math 7 - 35 Week Review Part 2: Systems of Equations

For Students 7th - 9th
Graphing systems of equations can be easy with a little practice. Provide learners with the opportunity to show what they know as they solve 3 graphing and short answer problems. This printable worksheet is two pages long and includes 5...
Lesson Planet

#### Worksheet #2.7 MT-A141 PreCalculus

For Students 11th - 12th
Get ready for Calculus! The class solves equations, graphs a relation defined parametrically, and gives the parametric equation for the inverse relation. They then identify the geometric relationship between two graphs.
Lesson Planet

#### Solving Inequalities Self-Test

For Students 7th - 9th
In this inequalities activity, students answer 6 multiple choice problems. Students then solve and graph 13 inequalities. Students answer 1 open-ended word problem.
Lesson Planet

#### Graphing Functions Worksheets

For Students 9th - 11th
Get out the graph paper; it's time to graph functions! Upper graders solve and graph 10 different problems that include graphing polynomial functions, finding the bounds for x and y that display the basic characteristic of the graph of...
Lesson Planet

#### Countdown Challenge: Using Functions

For Students 8th - 10th Standards
Kids use functions to solve and graph 3 different problems that include following steps to graph various functions. First, they create a formula to calculate the cost of different numbers given in a table. Then, they determine the cost...
Lesson Planet

#### Graphing

For Students 8th - 9th
In this graphing instructional activity, students solve and graph 10 different problems that include determining various coordinates and the slope. First, they use the table to write the x and y coordinates for each point on the graphs....
Lesson Planet

#### Box & Whisker Plot

For Students 8th
In this box and whisker plot worksheet, 8th graders solve and graph 3 different problems that include box and whisker plots. First, they determine the lowest and highest numbers in the data set and mark them on the graph with an x. Then,...
Lesson Planet

#### Graphing Inequalities

For Students 8th - 9th
In this graphing inequalities worksheet, students solve and graph 10 different problems that include various inequalities. First, they study each of the examples given. Then, students graph the remaining equalities and inequalities as...
Lesson Planet

#### Using Tables, Rules, and Graphs

For Students 7th - 9th
Middle schoolers solve and graph 13 different problems that include using graphs to interpret information. First, they determine the speed and function relationship of the graph shown. Then, students write a rule to represent the...
Lesson Planet

#### Definition of a Function

For Students 8th - 10th
Get those kids to solve and graph 10 different problems that include various types of functions and their relations. They determine if each graph represented is the relation of a function then determine which value of the variable will...
Lesson Planet

#### Slope Intercept Form

For Students 8th - 10th
In this slope intercept form worksheet, students solve and graph 6 different problems that include identifying the slope and intercepts in each graph. First, they determine the line that has a given x-and y-intercept. Then, students find...
Lesson Planet

#### Absolute Value Equations and Inequalities

For Students 7th - 9th Standards
A teacher's guide precedes the five-page worksheet on solving absolute value problems. A summary, essential question, launch and exploration activities are suggested to go along with the assignment. You might want to know that the...
Lesson Planet

#### Inequalities and Measures of Central Tendency

For Students 9th - 11th
For this inequality and measures of central tendency worksheet, students solve and graph linear inequalities. They organize given data to identify the mean, mode and range. Students interpret box-and-whisker plots. This three-page...
Lesson Planet

#### Linear Equations and Measures of Central Tendency

For Students 8th - 11th
In this linear equations worksheet, learners solve and graph linear equations. They identify measures of central tendency such as mean, range, mode, and median. Students examine and interpret box-and-whisker plots. This three-page...
Lesson Planet

#### Slope & Intercepts

For Students 9th
For this slope and intercepts worksheet, 9th graders solve and graph 6 different problems that include responding to questions in reference to each equation. First, they complete the table and graph by solving each equation. Then,...
Lesson Planet

#### Systems of Equations

For Teachers 8th - 9th Standards
This is a large unit on the study of the systems of linear equations, solving and graphing. Understanding solutions graphically, and algebraically, learners solve equations by graphing, substitution, and elimination. Real-world problems...
Lesson Planet

#### Graphing Systems of Equations

For Students 9th
In this graphing systems of equations worksheet, 9th graders solve and graph 8 different problems that include solving various systems of equations. First, they use the graphs show to determine whether each system has one solution, no...
Lesson Planet

#### Combining Functions

For Teachers 11th
This worksheet includes 46 problems for students to solve. They must combine, solve, and graph functions, and use functions to evaluate and solve equations. This would be an excellent exam or pre test.
Lesson Planet

#### Linear Inequalities

For Students 9th - 11th
In this linear inequalities worksheet, students solve and graph systems of inequalities on a coordinate plane. Examples and explanations are provided. This five-page worksheet contains 32 problems. Answers are provided at the end of...
Lesson Planet

#### Solving Systems of Equations by Graphing

For Students 9th
In this systems of equations learning exercise, 9th graders solve and graph 10 different problems by graphing their results on each given grid. First, they graph both equations and see where they intersect. Then, students determine the...
Lesson Planet

#### Graphing

For Students 9th
In this graphing worksheet, 9th graders solve and graph 8 different problems that include defining various terms related to graphing. First, they label the quadrants in a coordinate plane and name the quadrant for each listed ordered...
Lesson Planet

For Students 9th
In this quadratic inequalities worksheet, 9th graders solve and graph 10 different problems that include various forms of inequalities. First, they solve each equation shown algebraically. Then, students state the solution set of the...
Lesson Planet

#### Transformations with Functions

For Students 10th - 11th
For this transformations worksheet, students solve and graph 8 different problems related to various forms of functions. First, they write the equation for the graph of a function given. Then, students describe the transformations that...
Lesson Planet

#### Investigating Parabolas

For Students 9th
In this investigating parabolas worksheet, 9th graders solve and graph 7 different problems that include graphing various equations that represent parabolas. First, they sketch their graphs to each problem. Then, students determine what...
Lesson Planet

#### Parabolas

For Students 11th
In this parabolas activity, 11th graders solve and graph 16 various types of problems that include factoring and solving systems of equations. First, they determine the exact equation of a parabola with a given vertex and line passing...
Lesson Planet

#### Graphs and Exponential Functions

For Teachers 9th - 11th
Learners graph and analyze exponential functions. In this calculus lesson, students define the changes of the parameters and how they affect the graph. They explore asymptotes and horizontal asymptotes. They solve and graph different...
Lesson Planet

#### Equations as Relations

For Students 10th
For this equations as relations worksheet, 10th graders solve and graph 9 different problems that include determining various ordered pairs. First, they determine the ordered pairs that are solutions to each equation. Then, students...
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For Teachers 9th - 12th
In this quadratic function worksheet, students solve and graph quadratic functions. Functions contain both positive and negative integers, fractions, and perfect squares. Graph paper is located below each equation. There are 36...
Lesson Planet

#### Inverse Functions

For Students 9th
In this inverse functions worksheet, 9th graders solve and graph 10 different problems that include the inverse of various functions. First, they determine if the coordinates given is the inverse of a function given. Then, students use...
Lesson Planet

#### Finding Equations From Graphs

For Students 9th
In this equations from graphs worksheet, 9th graders solve and graph 10 different problems that include determining the actual equation for each. First, they determine the slope and y-intercept for each graph shown on the right. Then,...
Lesson Planet

#### Equations and Inequalities

For Students 9th
In this equations and inequalities worksheet, 9th graders solve and graph 10 different problems that include determine the slope of a line. First, they determine the slope of a line represented by a given equation. Then, students...
Lesson Planet

#### Characteristics of Exponential Functions

For Teachers 9th - 12th Standards
What can an upper grader do with an exponential function? They can solve and graph it, identify its important characteristic, and differentiate graphs based on shifts in graph bases that are greater or less than one. This 45 minute...
Lesson Planet

#### Equations and Inequalities

For Students 9th
In this equations and inequalities worksheet, 9th graders solve and graph 10 different problems that include determining the slope of a line in each. First, they determine the line that contains given points on a grid. Then, students...
Lesson Planet

#### Sequences

For Students 11th
In this sequences worksheet, 11th graders solve and complete 7 various types of problems that include determining the difference between types of sequences. First, they solve and graph a given equation. Then, students find the domain,...
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#### Piecewise Linear Integral

For Teachers 9th - 12th Standards
Young mathematicians solve and graph piecewise functions in this calculus lesson. They integrate linear functions containing restrictions and graph their answers using the TI.
Lesson Planet

#### Comparing Linear and Exponential Functions

For Teachers 9th - 12th Standards
Teach your class how to differentiate between linear and exponential functions. They use exponential properties to solve problems, graph them using the TI-Navigator, and make comparisons.
Lesson Planet

#### Exploring Power Functions 2

For Teachers 9th - 12th Standards
Young mathematicians learn to write algebraic equations. They solve and graph different polynomial functions with different powers. They then graph radicals and identify the domain and range.
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#### Worksheet 1: Algebra and Inequalities

For Teachers 12th - Higher Ed
Challenge your students' algebra skills with this activity, which presents students with several types of problem sets, including solving inequalities, graphing, word problems, and a set of algebra problems that may or may not require...
Lesson Planet

#### Tim and Pat at the Store: Bar Graphs

For Students 2nd - 3rd
Do you like candy? Tim and Pat go to the candy store every day after school. Can you use the chart to determine how much money they spend each day? Does one spend more than the other?
Lesson Planet

#### Solving Inequalities and Graphing

For Teachers 9th - 10th
Students solve and graph inequalities on a number line. In this algebra instructional activity, students solve using addition, subtraction, multiplication and division and graph their solutions using open or closed circles. They graph...
Lesson Planet

#### An Introduction To Solving And Graphing Inequalities

For Teachers 10th - 11th
Students graph inequalities and solve the equations. In this algebra lesson, students graph their solutions on a number line and create an inequality for a word problem.
Lesson Planet

#### Leveled Problem Solving: Circle Graphs

For Students 6th - 9th
In this circle graphs worksheet, students solve 6 word problems based on a circle graph about the most popular classes for sixth graders. Students calculate angle measures of circles for 2 of the problems.
Lesson Planet

#### Graphing Linear Inequalities

For Students 9th - 10th
In this graphing worksheet, students solve and graph linear inequalities on a coordinate plane. Inequalities contain one variable. The solution set is sketched and colored. This worksheet contains eight problems on two pages, with an...
Lesson Planet

#### Using Slope within Geometric Problems

For Students 9th - 12th
For this using slope within geometric problems worksheet, high schoolers solve 3 graphing problems. Students graph vertices on a coordinate plane. High schoolers use slope and distance formulas to identify the type of quadrilateral.
Lesson Planet

#### Point-Slope Form of a Linear Equation

For Teachers 8th - 10th
Students solve and graph linear equations using the slope and y-intercept. In this algebra lesson,students find the slope of a linear equations given two points and using the point slope formula to solve.
Lesson Planet

#### Review and a Free TI 83?

For Teachers 7th - 9th
Employ a "virtual" software version of a TI-83 graphing calculator to convey the concepts of solving and graphing systems of linear equations or inequalities. Learners go online to identify the number of solutions as they relate to the...
Lesson Planet

#### Solving Linear Inequalities

For Students 10th
In this linear inequalities worksheet, 10th graders solve 10 different problems that include various forms of linear inequalities. First, they determine the relationship of the numbers. Then, students multiply or divide to get like terms...
Lesson Planet

#### Extended Performance Task: Recording Data

For Students 3rd Standards
Challenge mathematicians to show what they know with five tasks all about data. Scholars collect and record data before creating tally charts, picture graphs, and bar graphs to analyze the information they discovered in written form.
Lesson Planet

#### Motion in a Straight Line Where Displacement is of the Form x = a{sin/cos (x) = b

For Teachers 11th - 12th
Students solve and graph trigonometric equations, stating the amplitude, period and vertical shift. In this trigonometric equations instructional activity, students solve and graph one problem using algebraic reasoning, the 2nd through...
Lesson Planet

#### Inverse of a Function

For Students 10th
In this inverse of function worksheet, 10th graders solve and graph 10 different problems that include graphically represented inverse functions. First, they solve each of the problems involving graphs and their inverses. Then, students...
Lesson Planet

#### Solving Compound Inequalities

For Students 8th - 9th
In this compound inequalities worksheet, students solve and graph 12 different problems that include compound inequalities. First, they graph the solution of each compound inequality. Then, students write a compound inequality for each...
Lesson Planet

#### Graphing Equations

For Students 6th - 9th
For this graphing worksheet, students learn how to solve a graphing equation with 2 variables. They then complete the 2 questions at the bottom of the page in which they complete the tables and graph the equations.
Lesson Planet

#### Graphing Inequalities

For Students 9th - Higher Ed
In this graphing inequalities worksheet, students solve and graph the solution set for eight inequalities. They first solve each inequality, either for x or for y, then they plot the coordinates found on the graph provided for each...
Lesson Planet

#### x- and y-Intercepts

For Students 9th
For this x- and y-intercepts worksheet, 9th graders solve and graph different problems related to linear equations. First, they determine the x- and y-intercepts by plugging in 0 for each and solving. Then, students find at least one...
Lesson Planet

#### Equations of Graphs

For Students 9th
For this equations of graphs worksheet, 9th graders solve and graph 10 different problems that include various types of graphs. First, they determine the equation for each graph shown at the top of the sheet. Then, students determine on...
Lesson Planet

#### Graphing Inequalities in Two Variables

For Students 9th
In this graphing inequalities worksheet, 9th graders solve and graph 6 different problems that include two variables. First, they define the given vocabulary terms found at the top of the sheet. Then, students graph each inequality...
Lesson Planet

#### Graphing Linear Functions - Review

For Teachers 9th - 10th
Learners graph linear functions. They plot three points, create a line, and discuss methods to find the slope of line. In groups, students solve problems, graph their lines and find the slope of a line using various methods. Upon...
Lesson Planet

#### Quadratic Functions And Their Graphs

For Teachers 8th - 12th
Students engage in a classroom discussion about the shape of a parabola using real world examples. They define and discuss the important vocabulary and the teacher scaffolds by making clarification as necessary. For practice students...
Lesson Planet

#### Three Little Kittens: Addition Booklet

For Teachers 1st - 2nd
Students explore math problem solving strategies while reading a nursery rhyme. In this addition lesson, students learn math skills such as solving simple equations, graphing data and extending patterns while reading The Three Little...
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For Teachers 9th - 12th
Students explore the concept of quadratic functions and review how to solve and graph linear functions. They play a game for reviewing linear functions to stay engaged in the lesson and then plot and graph a multitude of different...
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#### Graphing Linear Equations

For Students 9th
In this graphing linear equations worksheet, 9th graders solve and graph 6 different problems that include various linear equations. First, they graph each equation using the x- and y-intercepts of each. Then, students graph each...
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#### Graphing Linear Equations

For Students 9th
In this graphing linear equations worksheet, 9th graders solve and graph 10 different problems that include graphing on the given coordinate planes. First, they determine whether each equation is a linear equation and rewrite it in the...
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#### The Function Elevator

For Teachers 9th - 11th
Students solve and graph functions. For this precalculus lesson, students use piecewise function to relate real life scenarios. They analyze the graphs and identify the vertex and intercepts.
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#### Systems of Equations 2

For Students 9th
In this systems of equations worksheet, 9th graders solve and graph 9 different problems that apply the systems of equations. First, they solve each system of equations by using the graphing method. Then, students write the solution for...
Lesson Planet

#### Proofs

For Students 10th
In this proofs activity, 10th graders solve and graph 8 different equations. First, they prove that each triangle is either congruent or similar. Then, students use the concept of corresponding parts of congruent triangles to solve each...
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#### Equations and Inequalities

For Students 9th
In this equations and inequalities instructional activity, 9th graders solve and graph 8 different problems that include various systems of equations. First, they determine the solution to each set of system of equations. Then, students...
Lesson Planet

#### Slopes of Lines

For Students 10th
For this slopes of lines worksheet, 10th graders solve and graph 10 different problems. First, they determine the slope of each line named in the figure and any line parallel to line b and perpendicular to line d. Then, students graph...
Lesson Planet

#### Easy Worksheet: Graph Using Transformations

For Students 9th - 12th
In this graph using transformations worksheets, students solve 4 graphing problems. Students graph each transformation given an equation in vertex form.
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#### Triangles

For Students 10th
In this triangles worksheet, 10th graders solve and graph 8 different problems that include various transformations. First, they write a rule for the composition of a dilation of a scale factor. Then, students determine whether a graphed...
Lesson Planet

#### Parabolas

For Students 10th
In this parabolas worksheet, 10th graders solve and graph 10 different problems that include various types of parabolas. First, they determine the vertex and the y-intercept for each problem given the information. Then, students write...
Lesson Planet

#### Slope of a Line

For Students 9th
In this slope of a line worksheet, 9th graders solve and graph 10 different problems that include determining the slope of a line. First, they determine the slope of a line that contains two given points. Then, students determine the...
Lesson Planet

#### Math 7: 35-Week Review

For Students 6th - 8th
Budding mathematicians solve 20 short answer and multiple choice problems. They express fractions as percents, write and solve equations, graph inequalities, solve proportions, identify irrational numbers, etc.
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#### Parent Graphs Three

For Students 11th
In this parent graphs learning exercise, 11th graders solve and graph 6 different problems that include graphing on a coordinate plane shown for each equation. First, they draw a parent graph for each shown equation. Then, students...
Lesson Planet

#### Problem-Solving Application: Use Circle Graphs: Homework

For Students 5th - 6th
In this circle graphs learning exercise, students use the problem solving strategy of understand, plan, solve, and look back to help them answer the two word problems for the circle graph. Students then use table to answer the word...
Lesson Planet

#### Solve and Graph Compound Inequalities

For Students 9th - 10th
For this algebra worksheet, students solve inequalities and graph it on a number line. They use correct graphing method when dealing greater than and less than. There are 3 questions with an answer key.
Lesson Planet

#### Unit 5 WS 5: Transformations of Absolute Value Functions

For Students 9th - 12th
In this transformations of absolute value functions worksheet, students solve 18 graphing and short answer problems. Students graph absolute value functions that have been shifted horizontally, vertically and stretched/shrunk. Students...
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#### One-Step Inequalities

For Students 6th - 8th
Here's a simple worksheet on solving and graphing inequalities for your algebra class. Learners solve 24 questions, graphing each on a number line. Numbers include fractions, integers, and negative numbers.
1 In 1 Collection
Lesson Planet

#### Price Token Purchase

For Teachers 6th - 11th
In need of a summer project to give incoming mathematicians? Here is a project that instructs learners to solve and graph four different scenarios of token purchases. They find the cost of the regular price, sale price, mega sale price,...
Lesson Planet

#### Formulating and Solving Systems 4

For Students 9th
In this formulating and solving systems of equations instructional activity, 9th graders solve and graph four different sets of equations. First, they determine what system of equations is in the first graph and the solution to the...
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For Teachers 8th - 10th
Learners solve and graph linear equations. In this algebra lesson, students collect and plot data on a coordinate plane. They use the CBL and TI calculator to graph systems of equation.
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#### Graphing Linear Equations Using Data Tables

For Teachers 8th - 9th
Students review the Cartesian plane and the process of plotting points. In groups, students create tables, identify the slope and y-intercept, and graph the equation. Afterward, students perform the same process, only, individually. As a...
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#### Linear Functions

For Teachers 8th - 10th
Students solve and graph linear equations. In this algebra activity, students collect data and plot it to create a linear function. They identify the domain and range of each line.
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#### Linear Equations

For Students 9th - 10th
For this algebra worksheet, students solve and graph linear equations. They differentiate between parallel and perpendicular lines. There are 35 questions about graphing.
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#### Linear Systems

For Teachers 7th - 9th
Students solve and graph linear equations. In this algebra lesson, students solve systems of equations using elimination and substitution. They graph their answer and identify the point of intersection.
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#### Particular and Homogeneous Solutions

For Students 11th - Higher Ed
For this homogeneous and general solutions worksheet, students solve and graph 4 different types of equations related to particular solutions. They determine the general solution to each of the 4 homogeneous equations and the solution of...
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#### Graphing Linear Equations

For Students 9th
In this linear equations worksheet, 9th graders solve and graph 17 different problems that include graphing linear equations on a given coordinate plane. First, they determine whether each given ordered pair is a solution to the...
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For Students 10th
In this quadrants worksheet, 10th graders solve and graph 6 different graphs that contain four different quadrants. They name the quadrant or on which axis the point lies. Students identify the difference between graphing positive and...
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#### The Distance Formula

For Students 8th - 9th
In this distance formula worksheet, students solve and complete 28 various types of problems. First, they find the distance between each pair of points provided. Then, students solve and graph the points.
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#### Linear and Non-Linear Equations

For Teachers 8th - 9th
Students study linear and non-linear equations. After a teacher demonstration, they use calculators to solve and graph equations. They distinguish the difference between linear and non-linear equations.
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#### Inequalities in Two Variables

For Teachers 8th - 9th
In this algebra worksheet, students solve and graph 3 linear inequalities on coordinate systems. They solve and graph 3 systems of linear inequalities on a coordinate grid.
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For Students 5th - 7th Standards
Young mathematicians apply their knowledge of algebraic equations to examine the cost of Sally's U Tunes membership in this problem solving exercise. Given the initial membership fee and the cost per song, students must write an...
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#### College Prep Algebra, Inequalities

For Teachers 8th - 9th
In this algebra worksheet, students solve and graph 10 linear inequalities. Students must remember to alter the inequality when the negative sign is on the variable.
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#### Parabola

For Students 10th
In this parabolas instructional activity, 10th graders solve and graph 12 different problems related to various types of parabolas. First, they determine the vertex and the y-intercept based on the graph illustrated for each. Then,...
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#### Absolute Value of Linear Functions

For Teachers 9th - 10th
Pupils identify and interpret how absolute value affects linear functions. They also graph linear functions and reflect them in a line of symmetry. Finally, students evaluate the absolute value of a constant using technology to...
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#### Solving Simultaneous Equations Graphically

For Students 8th - 11th Standards
The solution resides at the intersection. Pupils use a short instructional activity to review the process of solving a system of linear equations using graphing. The instructional activity provides completed graphs for most of the items,...
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#### Graphs of Linear Systems: Heart Rate Tracker

For Students 8th - 10th Standards
Max out heart rates for males and females. Formulas of maximum heart rates provide the equations for a linear system. Pupils use the interactive to graph the equations for males and females and determine their points of intersection. The...
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For Students 10th - 11th
In this quadratic review worksheet, students work with an overview on how to solve and graph quadratic equations.  Twelve fully worked examples are shown.
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#### Solving Systems of Equations

For Teachers 8th - 10th
Algebra learners solve problems of systems of equations. They use substitution, elimination, graphing, and a calculator to solve and graph linear inequalities. An applications worksheet and calculator instructions are included.
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For Teachers 8th - 11th
This comprehensive lesson plan reviews solving and graphing quadratic functions and functions of higher degree.  Using the vertex form of a quadratic functions, one finds the vertex, minimum or maximum, and axis of symmetry. A few word...
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#### Looking at Graphs

For Students 5th
For this graphs worksheet, 5th graders solve and graph 4 different problems that include reading and exploring different graphs. First, they match each statement listed to the graphs shown on the sheet. Then, students use the information...
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#### Graphing a Number Sequence

For Students 6th - 8th
In this number sequence worksheet, students solve and graph 4 different sets of number sequences on the graph at the bottom of the sheet. They graph each number sequence given in the color above each table at the top.
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#### The Ten-Meter Races

For Students 6th
In this ten-meter race worksheet, 6th graders solve and graph 3 different races that include graphing coordinates on each grid. First, they read the description of each race. Then, students graph the details to determine the winner. They...
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#### Arithmetic and Exponential Sequences

For Students 6th - 7th
In this arithmetic and exponential sequences activity, students solve and graph 4 different problems that include using exponential sequences in graphing. First, they measure the length of each bar and record the data. Then, students...
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#### Pick's Theorem

For Students 6th - 7th
In this Pick's Theorem worksheet, students solve and graph 6 different problems that include using Pick's Theorem to solve. First, they use Pick's Theorem to determine the area of the shapes given as well as their own shapes drawn. Then,...
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#### Integrated Algebra/Math A Regents Questions: Systems of Quadratic/Linear Equations

For Students 9th - 12th
In this system of equations worksheet, high schoolers solve 5 graphing and short answer problems. Students graph quadratic and linear systems of equations to find the solutions to the system.
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#### Finding the Midpoint of a Line Segment

For Students 9th - 12th
In this finding the midpoint of a line segment worksheet, students solve 4 graphing problems. Kids plot points and construct line segments on a graph. Students find the midpoint and length of each line segment.
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#### Solve Trigonometric Graphs

For Teachers 10th - 12th
Students solve 30 trigonometric equations. Each answer will include a sketch and calculations illustrating the process the student used to solve the problem.
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#### Easy Worksheet: Area and Circumference of Circles

For Students 9th - 12th
In this area and circumference of circles worksheet, high schoolers solve 4 graphing problems. Students graph a circle given an endpoint and center. High schoolers find the area or circumference of the circle they graphed.
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#### Solving Inequalities

For Students 9th - 11th
In this inequalities worksheet, students solve and graph inequalities. They shade the answer region. Explanations and examples are provided at the beginning of the document. Answers are at the end of the worksheet. This four-page...
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#### Systems of Inequalities

For Teachers 9th - 11th
Students solve and graph a system of inequality. In this algebra lesson, students calculate the solution of a system through graphing. They test their coordinate pair and shade on the correct side of the line. They review rules for...
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#### Get Your Kicks on Route 66

For Teachers 8th - 9th
Students problem solve and graph on a number line the results of a series of absolute value problems. Each problem builds on the story of Driving Dan who travels a set number of miles from his home to various destinations. Problems get...
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#### Easy Worksheet: Area and Perimeter of Rectangles and Squares

For Students 9th - 12th
In this area and perimeter of rectangles and squares worksheet, high schoolers solve 6 graphing and short answer problems. Students plot four coordinates of a rectangle or square on the coordinate plane. High schoolers find the area or...
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#### Easy Worksheet: Area of Triangles

For Students 9th - 12th
In this area of a triangle worksheet, high schoolers solve 6 graphing problems. Students find the area of a triangle given the three coordinates of the vertices.
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#### The Coordinate Plane

For Students 10th
In this coordinate plane worksheet, 10th graders solve and graph 17 various points on a coordinate plane. First, they define an ordered pair, the first number being the x-coordinate and the second number being the y-coordinate. Then,...
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#### Using Inequalities to Problem Solve

For Teachers 8th - 10th
Students explore inequalities. In this Algebra I lesson, students solve and graph linear inequalities involving addition, subtraction, multiplication, or division.  Students use inequalities to solve and graph real-world problems.
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#### Inequalities Involving Absolute Value

For Teachers 9th - 12th
Students solve and graph inequalities involving absolute value. They discuss and identify the basic properties of inequalities, and solve basic examples.
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#### Planarity and Bagels

For Teachers 8th
Eighth graders investigate planar and non-planar graphs. For this algebra lesson, 8th graders discuss conjectures as they apply to both rules of solving equations graphed in a coordinate plane. They discuss ideas, agree and disagree, and...
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#### Coordinate Plane

For Students 10th
In this coordinate plane worksheet, 10th graders solve and graph 21 different problems that include various pairs of points. First, they write the ordered pair for each point on the first grid. Then, students name the quadrant in which...
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#### Integrated Algebra

For Teachers 10th - 12th
In this algebra worksheet, young scholars solve equations, graph linear functions and find the angles in triangles. There are 39 questions.
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#### Coordinate Geometry

For Students 9th - 11th
For this geometry worksheet, students solve and graph points on coordinate plane. They write the equation of a line and describe the line's position on a coordinate plane.  There are 9 questions with an answer key.
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#### Lesson Plan 3: Inequalities

For Teachers 9th
Ninth graders study inequalities. After a teacher demonstration, classmates solve and graph inequality problems. In groups, they are assigned specific tasks that lead to the solving of inequality word problems.
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#### Linear Inequalities

For Teachers 9th
Ninth graders explore solving linear inequalities. They discuss vocabulary words and symbols associated with linear inequalities. After a demonstration by the teacher, 9th graders solve and graph inequalities. Students complete a...
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#### Systems of Inequalities

For Students 8th - 12th
In this graphing systems of inequalities learning exercise, students solve and graph 4 inequalities with the help of a computer. Students solve 2 more systems of inequalities using the calculator.
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#### Graphing Exponential And Logarithmic Functions

For Teachers 10th - 12th
In this logarithmic function worksheet, students solve and graph logarithmic and exponential functions. Variables are included in the exponential and logarithmic functions. There are 18 problems to solve on this two-page worksheet. Graph...
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#### Domain and Range for Absolute Value Functions

For Teachers 9th - 10th
Students solve and graph absolute value functions. In this algebra lesson, students identify the domain and range of absolute value functions. They use GeoGebra to complete worksheets.
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#### Rational Functions

For Students 11th - 12th
In this Algebra II/Pre-calculus activity, students solve and graph rational equations, identifying the intercepts and asymptotes. The six page activity contains nine problems. Answers are not provided.
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#### Complex Numbers

For Students 9th
In this complex numbers worksheet, 9th graders solve and graph 10 different problems that include various complex numbers. First, they represent each of the problems shown as complex numbers graphically. Then, students graphically add...
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#### Linear Inequalities - Concept

For Students 8th - 10th Standards
Not all inequalities are equal. A video provides an introduction to the notation for inequalities. It provides tips on connecting the notation to the way the inequality is graphed, either on a number line or the coordinate plane.
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#### Logarithmic Equations

For Students 11th - 12th
For this logarithmic worksheet, students solve given logarithm equations. Two problems may be solved by graphing. This one-page worksheet contains ten problems.
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#### Problem Solving Application: Using Circle Graphs

For Students 4th
In graphing worksheet, 4th graders use the information from a circle graph about carnation sales to complete the steps of problem solving. They determine what they know, and how they can use the graph. They find how many more pink...
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#### Line Graphs

For Students 6th - 7th
For this line graphs worksheet, students solve 6 problems in which two line graphs are used for information. This is advanced problem solving with detailed graphs.
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#### Solving One-Step Inequalities by Multiplying/Dividing

For Students 7th - 8th
In this pre-algebra worksheet, students solve and graph the results for 26 linear inequalities. Each problem involves either multiplication or division. Seven problems include a negative coefficient for the given variable.
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For Students 9th - 12th
In this quadratics and parent graphs review worksheet, learners answer 14 questions that cover solving and graphing quadratic equations and also involve sketching parent graphs.
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#### Exploring the FTC using the TI

For Teachers 11th - 12th
Students use the Fundamental Theorem of Calculus to solve problems. In this calculus lesson, students use the TI to solve the graphing porting of the problem. They practice graphing functions and discuss their place in the real world.
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#### Graphing Systems of Inequalities

For Students 9th - 11th
In this graphing systems of inequalities worksheet, students solve and graph 8 systems of inequalities. One problem includes an absolute value.
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For Teachers 9th - 11th
Students solve and graph quadratic equations. In this algebra lesson, students identify the vertex and intercept of their parabola. They find the maximum and minimum and use guess-and-check to solve their equation.
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#### Quadratic Equations with Complex Coefficients

For Teachers 11th - Higher Ed
Students solve and graph quadratic equations. In this algebra instructional activity, students perform basic operation using addition, subtraction, multiplication and division. They compute the quadratic formula.
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#### Graphs of Circles

For Students 10th
In this graphs of circles instructional activity, 10th graders solve and graph 10 different problems related to graphing various types of circles. First, they write the equations of a circle with a given center and radius. Then, students...
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#### Battle Ship

For Students 10th
In this coordinate plane worksheet, 10th graders solve and graph 3 different problems that include playing a game with graphing. First, they mark one of each of they ships either horizontally or vertically. Then, students call out a...
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#### Lesson Plan 2: Linear Inequalities

For Teachers 6th - 8th
Students investigate linear inequalities and the associated symbols. After a teacher demonstration, they translate given phrases into symbols. Students solve and graph solutions to linear inequalities. Using newspapers, they locate...
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#### Graphing Points in Four Quadrants

For Students 9th
In this graphing points worksheet, 9th graders solve and graph 19 different problems that include using all four quadrants on a graph. First, they name the point with the given coordinates. Then, students identify the quadrant in which...
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#### Investigating the Transformations of Graphs

For Teachers 8th - 10th
Learners solve and graph equations. In this algebra lesson, students graph linear and other polynomial functions using coordinate points. They perform transformation of these functions, by moving them around on the coordinate plane.
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#### Locate Ordered Pairs

For Teachers 7th - 8th
In this ordered pairs worksheet, students solve and graph 6 different graphs that include various ordered pairs. They determine each ordered pair shown in the graphs. Then, students write the letter for the point named by the ordered...
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#### Translations

For Teachers 10th
In this translations worksheet, 10th graders solve and graph 8 different problems that include interpreting various translations. First, they use the graph on the right to determine the horizontal and vertical change of the given...
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#### The Coordinate Plane

For Students 9th
In this coordinate plane activity, 9th graders solve and graph 30 different problems that include determining various coordinates on a graph. First, they write the ordered pair for each point shown on the grid, naming the quadrant in...
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#### Comparing Exponential and Linear Functions

For Teachers 9th - 10th
Learners solve and graph exponential functions. In this algebra lesson plan, students identify function notations and discuss the different properties of exponential functions. They relate linear functions to the real world.
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#### Regions and Inequalities

For Teachers 8th - 10th
Students graph inequalities using shading. For this algebra lesson, students solve and graph inequalities, identifying the region that is enclosed. They identify the vertex of each polygon.
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#### Absolute Value Equations and Inequalities

For Students 11th
In this Algebra II learning exercise, 11th graders solve and graph the solutions to absolute value equations and inequalities. The two page learning exercise provides explanation and examples in addition to sixteen practice questions....
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#### Writing Coordinates

For Teachers 7th - 8th
In this writing coordinates worksheet, students solve and graph 6 different problems related to writing various coordinates on the graph. First, they move to the right and up on the grid, naming the point found. Then, students move up or...
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#### Area on a Coordinate Grid

For Students 7th - 8th
In this area on a coordinate grid worksheet, students solve and graph 10 different problems on a coordinate grid. First, they determine the area of the given figures in each. Then, students determine the length of each side of the...
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#### Simple versus Compound Interest

For Teachers 10th - 11th
Learners investigate simple and compound interest.  In this Consumer Mathematics instructional activity, students use the TI-nspire handheld to compare simple and compound interest.  The instructional activity includes problem solving...
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#### Logarithms

For Teachers 11th - 12th
In this pre-calculus worksheet, pupils write equations in exponential form and logarithmic form.  Students solve and graph logarithmic equations.  The two page worksheet contains eighty-six problems.  Answers are provided.
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#### Absolute Value Word Problems: Practice A

For Teachers 9th
Ninth graders investigate absolute value equations and inequalities. In this Algebra I lesson, 9th graders solve and graph absolute value equations and inequalities. Students translate verbal expressions into absolute value inequalities.
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#### Problem-Solving Application: Use a Circle Graph

For Students 4th
In this graphing instructional activity, 4th graders use a circle graph with information about orchestra instrument to answer 5 questions. They examine the graph to find the information needed to problem solve each answer.
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#### Inequality and Simple Interest Review

For Teachers 7th - 8th
Students review how to solve and graph an inequality. They also review how to find simple interest from a given problem set. The teacher performs informal assessment through observation of students.
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#### Problem-Solving Application: Use a Circle Graph

For Students 4th
In this problem-solving worksheet, 4th graders analyze a circle graph about types of waste in order to answer 5 problem-solving equations.
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#### Problem-Solving Application: Make a Circle Graph

For Students 6th - 7th
In this percents and circle graphs activity, students solve an application problem in which data from a percentage chart is made into a circle graph.
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#### How Do You Check Your Answer When You Have Two Equations?

For Teachers 7th - 9th
Show your class how to check their answers for a system of linear equations. This video clarifies how to plug in answers and solve each equation. This is a straightforward video that could be useful to learners as the work on their...
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#### Ordered Pairs

For Students 10th
In this ordered pairs worksheet, 10th graders solve and graph 6 different sets of points on each graph. First, they draw each of the given ordered pairs in each problem on the gird shown. Then, students label each of these points on the...
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#### Slope-Intercept Form

For Teachers 9th - 11th
Students listen and take notes on a lecture by the teacher on the slope-intercept form of a line. For this slope-intercept lesson, students identify the x and y intercepts from information on a table. They solve for the missing x and y...
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#### How Do You Solve a System of Inequalities by Graphing?

For Teachers 6th - 12th
You've got a linear system of inequalities? You need to solve it by graphing? No sweat. Make sure that each equation is in slope-intercept form and then graph each equation. Is it a solid line or a dashed line? Which side of the line...
5:53
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#### How Do You Solve a System of Inequalities by Graphing?

For Teachers 8th - 10th
You've got a linear system of inequalities? You need to solve it by graphing? No sweat. Make sure that each equation is in slope-intercept form and then graph each equation. Is it a solid line or a dashed line? Which side of the line...
7:16
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#### How Do You Solve a Quadratic Inequality by Graphing?

For Teachers 10th - 11th
You might be familiar with graphing a quadratic equation but what about a quadratic inequality? This video walks you through an example of graphing a quadratic inequality by first graphing a quadratic equation using factoring to find the...
7:10
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#### How Do You Use the Graph of a Linear Equation to Solve a Word Problem?

For Teachers 6th - 9th
There are rabbits, rabbits, rabbits everywhere. Not this group of rabbits. Use a table to find some x and y values to create a graph to solve this word problem. It's a rather peculiar word problem in that it is trying to find when a...