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Function-al Machines and Spaghetti Graphs

For Teachers 6th
Sixth graders identify the relationship between patterns and functions. For this algebra lesson, 6th graders use a "Functional Machine" to identify the rule. Students use a function table to plot the points using play dough dots.
Worksheet
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Ratio and Proportion: Write and Interpret

For Students 8th - 10th
In this ratio and proportion worksheet, learners explore example problems. Afterwards, they read story problems and use ratios and proportions to find the solution. This three-page worksheet contains six multi-step problems,
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Using Inequalities to Problem Solve

For Teachers 8th - 10th
Young scholars explore inequalities. In this Algebra I lesson plan, students solve and graph linear inequalities involving addition, subtraction, multiplication, or division.  Young scholars use inequalities to solve and graph...
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Model Data with Quadratic Functions

For Teachers 8th - 11th
Students model data using quadratic equations. In this algebra lesson, students simplify and factor quadratic equations. They graph the function using collected data and analyze the parabola.
Worksheet
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Polynomial Functions

For Students 11th
In this Algebra II worksheet, 11th graders classify polynomials by degree, write in standard form, and describe the behavior of the graph. The two page worksheet provides explanation and examples along with thirteen practice...
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Two-Step Equations

For Teachers 6th
Sixth graders work through a two-step equation with their teacher. After reviewing one-step equations, they complete a worksheet using tiles and colored pencils to complete two-step equations. To end the lesson, they write out the step...
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Two Step Equations

For Teachers 6th
Sixth graders solve multiple step math problems. In this problem solving lesson, 6th graders practice following step by step instructions such as making cookies or building a snowman. Students use algebra tiles and draw pictures to solve...
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Introduction to Linear Functions

For Teachers 9th - 12th
Students are introduced to the concept of linear functions. Using new terminology, they describe linear functions in sentences and in data tables. Using the internet, they calculate and record answers to problems which are discussed...
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What's My Function?

For Teachers 5th - 6th
Pupils use input / output tables to help them solve algebraic equations. They use patterns and relations to represent and analyze mathematical situations using algebraic symbols.
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What's My Function?

For Teachers 5th
Fifth graders utilize input/output tables to help them solve algebraic equations. They incorporate patterns, number sequences and relations to represent and analyze mathematical problems and number relationships using algebraic symbols.
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Equations, Formulas and Identities

For Teachers 8th - 10th
Students rewrite word problems using the correct symbols. In this algebra lesson, students find the trigonometric identities and use them to solve problems. They write equations for the trigonometric ratios.
Worksheet
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Solving Square Root and Other Radical Equations

For Students 11th
In this Algebra II worksheet, 11th graders solve equations involving radical equations.  The worksheet provides an explanation and worked examples.  The two page worksheet contains three problems.  Solutions are not...
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Exponent Rules

For Teachers 6th - 8th
Students engage in a lesson that is concerned with the rules of exponents. They practice solving problems that use exponents in a variety of contexts. Students are shown how to use the rules in numerical sequences and after translation...
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Introductory Exponents

For Teachers 7th - 8th
Pupils participate in a lesson combining language arts with mathematics. First, they write a paragraph explaining what it means to multiply two numbers. Then students practice using exponents in different problems.
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Identity and Equality Properties: Pages 37-43

For Teachers 9th - 10th
In this math worksheet, students use a list of mathematical properties in order to justify their evaluations. Students name multiplicative inverses and properties illustrated in 13 numbers and statements.
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Building a Rover

For Teachers 6th - 8th
Students investigate properties of lines and points by making a rover. In this algebra lesson, students plot points correctly on a coordinate plane. They identify coordinate pairs given the plots and lines.
Worksheet
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Phase Diagrams

For Students 11th - Higher Ed
In this phase diagram worksheet, students use a phase diagram to determine the critical point, phase boundaries, and phase transitions. This worksheet has 20 problems to solve.
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The football and Braking Distance; Model Data with Quadratic Functions

For Teachers 8th - 10th
Students use the quadratic formula to solve application problems. The first problem relates to the path of a football thrown from the top of the bleachers. Students compute the time it will take the football to reach certain heights. In...
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Pigs, Goats and Sheep

For Teachers 8th - 12th
Student are able to devise and use problem solving strategies to explore problems systematically and mathematically. They also form and solve various types of equations. This lesson plan requires some prior knowledge of equations.
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Equations and Inequalities

For Teachers Higher Ed
Students in a college algebra class use graphs to solve inequalities. Using the coordinate graphing system, they represent the relationship between x and y intercepts. They practice solving equations with complex numbers and locate...
Worksheet
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Writing a Function Rule

For Students 9th - 11th
In this Algebra I/Algebra II worksheet, students determine the equation that correctly represents the relationship between the x and y values provided.  The one page worksheet contains four multiple choice problems.  Answers...
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Regressive Music

For Teachers 9th - 12th
Student use the Ti calculator to graph sinusoidal graphs. In this calculus activity, students use the CBL to collect and analyze data of sinusoidal graphs. They manipulate their collected data and make predictions.
Worksheet
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Implicit Differentiation

For Students Higher Ed
In this implicit differentiation worksheet, students use the microscope approximation method and Euler's method to approximate values at a given point. This two-page worksheet contains five problems.
Worksheet
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Algebra Vocabulary Matching

For Students 5th - 6th
In this algebra vocabulary worksheet, students match a set of 13 algebra terms with their definitions. Answers are available on page 2. A reference web site is given for additional activities.

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