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Pass the Pencil

For Teachers 4th - 6th
Students work as a team to complete a variety of algebraic equations. Variables are assigned to students who are to substitute values to help their team solve the equation.
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Data Analysis

For Students 8th
In this data analysis worksheet, 8th graders solve and complete 4 different problems that include determining the line of best fit for each. First, they write the prediction for an equation for each situation described. Then, students...
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Algebra Match

For Teachers 12th
Twelfth graders identify the parts of an algebraic equation. They consider the many uses of algebra in daily life. They play a game, Algebra Match, where student pairs work to solve equations listed on index cards.
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Introductory Algebra Chapter 1 Review

For Teachers 6th - 8th
In this math worksheet, students solve the problems that involve linear equations. They substitute the values given for each variable.
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The Language of Algebra

For Teachers 7th - 8th
Students compare the language of algebra to a foreign language. They play the game "Pictionary" to emphasize that pictures can represent words. After writing definitions and discussing the meaning of variable expressions, students, in...
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Solving Equations by Factoring

For Students 9th - 11th
In this solving equations by factoring worksheet, students solve and complete 10 different problems. First, they solve each equation using the Zero product property. Then, students define a variable and use an equation to solve the...
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Solving Polynomial Equations

For Teachers 9th - 12th
Students demonstrate how to use spreadsheets as a tool for analyzing, visualizing and solving mathematical problems. Students obtain fundamental grasp of cubic equations and other polynomial equations.
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Solve for the Unknown

For Students 11th
In this solving for the unknown worksheet, 11th graders solve 10 different equations that include determining the unknown variable in each one. First, they set up the equations so that the insides are equal to each other. Then, students...
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Worksheet 19 Fall 1995

For Students 11th - Higher Ed
Students evaluate the equations that each variable is a function of time. They differentiate each expression with a comparison to the variable of t.
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Linear Patterns in Data

For Teachers 8th
Eighth graders extend their learning of graphing linear equations and are introduced to connecting patterns in tables and graphs to represent algebraic representations. They then determine patterns and extrapolate information from these...
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Connecting Algebraic Reasoning to Models

For Teachers 5th - 6th
Students analyze relating a model to an algebraic equation and visa versa. Patterns are reviewed in detail and then in pairs new models are created and then translated into a word problem or equation. They illustrate their models on...
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Combining Like Terms and Solving

For Students 8th - 9th
In this combining like terms and solving worksheet, students combine terms in simple algebraic equations and solve for the unknown. When needed, students may observe step-by-step instructions to solve given equations. There are 20...
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Math Sheet #5

For Students 9th - 10th
In this math worksheet, students solve systems of equations using the elimination or substitution method. There are five problems on this one-page worksheet.
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Worksheet 24 - Fall 1995

For Students 11th - Higher Ed
In this math instructional activity, students find an equation of a curve such that the slope at the point (x, y) on the curve is 3x2 +2 and (−1, 1) is a point on the curve.
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Cramer's Rule

For Students 11th - Higher Ed
In this Cramer's Rule worksheet, students first evaluate five determinants or square matrix. Then they solve the last five problems by applying Cramer's Rule. Students identify and define Cramer's Rule as a theorem used with linear...
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Write the Equation of a Line Given the Slope and a Point

For Teachers 9th - 10th
Students write the equation of a line given the slope and y-intercept. In this algebra lesson plan, students are given a point a the line and the slope of the line and are asked to write an equation of the line. They relate lines to real...
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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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Linear Systems: Least Squares Approximations

For Students Higher Ed
In this least squares approximation activity, students determine the number of solutions a given linear system has. They find the least square error and the equation of a line of best fit for a set of three points. Students find the...
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Double This

For Teachers 5th - 6th
Students change verbal expressions to algebraic equations. They practice the vocabulary of algebraic equations.
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Linear Inequalities

For Teachers 9th - 12th
Pupils imagine that they own a sneaker company. They are asked how they would know if their company made a profit. Students determine the number of sneakers of each type they need to sell in order to "break even." They are asked how...
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Worksheet 31

For Students 12th - Higher Ed
In this math worksheet, students find the solutions to the differential equations. They also investigate the application of recognizing the parts of the equation.
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Reasoning with Rules

For Students 8th - 9th
In this reasoning with rules worksheet, students solve and complete 12 different problems that include applying various rules to solve the equations given. First, they assume all segments are straight and state the rule used to solve...
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Discovering Math: Concepts in Algebra

For Teachers 10th - 12th
Learners learn that speed is a function of time and distance, a quadratic equation can be used to figure out the path of fireworks, a photographer can use Algebra to figure out how many rolls he can afford if he needs twice as much of...
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Three Squirrels and a Pile of Nuts

For Teachers 6th - 8th
Young scholars solve story problems using a spreadsheet in combination with various problem-solving strategies. Working in teams of three, students create attempt to solve a story problem using three different methods; using...