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Graphs and Functions

For Teachers All
Students are introduced to plotting functions on the Cartesian coordinate plane seen several categories of functions, including lines and parabolas
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Algebra II: Crickets-Nature's Thermometer

For Teachers 9th - 12th
Students translate functional relationships into equations to answer questions. Students answer questions using different representations of the relationships: function rules, graphs of the function, tables of values, and equations and...
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Rational Function Graphs

For Teachers 7th - 9th
Students use algebraic methods to represent and solve problems. Using a graphing calculator, students solve rational and inequality problems. They visually demonstrate solutions of functions through graphing. Students answer questions...
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Calculus: Graphical, Numerical, Algebraic

For Teachers 10th - 12th
Pupils explore the interplay between the geometric and analytic information and on the use of calculus both to predict and to explain the observed local and global behavior of a function. They write a paragraph describing any...
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Words for Algebra

For Teachers 7th - 9th
Young scholars rewrite word problems using symbols. In this algebra lesson, students relate algebra to the real world. They identify the correct steps to take when solving word problems.
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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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Radical Transformations

For Teachers 9th - 12th
Students transform the square root function graphically.  In this transforming the square root function graphically lesson plan, students use their Ti-Nspire to change the a, b, and c values of th square root graph.  Students...
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Quadratic-Linear Systems 2: Solve Systems of Equations Involving One Linear Equation and One Quadratic Equation Algebraically

For Students 10th - 12th
In this solving systems of quadratic and linear equations, students complete three problems. The first problem asks students to solve a system of two equations. One of the equations is a quadratic and the other is linear. The second two...
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Evaluating Variable Expressions

For Students 7th - 9th
In this variable expressions worksheet, students evaluate expressions for given terms. Each of the ten expressions contain three variables. Students substitute a given value for the variable and solve the equation.
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Algebra II: Chapter 7 Test - Systems of Equations

For Students 9th - 12th
In this systems of equations worksheet, students solve systems of equations, systems of inequalities, and linear equations.  They read word problems and write a system of equations that depicts the problem.  this two-page...
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Numerical Analysis: Polynomial Interpolation

For Students Higher Ed
In this polynomial worksheet, students find interpolating functions that can be expressed as a linear combination of basis functions. This four-page worksheet contains five multi-step problems.
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Exponential Growth and Decay

For Students 9th - 11th
In this algebra worksheet, students solve word problems. They identify the graph as exponential growth or decay. There are 7 questions with an answer key.
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Chapter 5 - Objective 5.1 Linear Equations

For Students 10th - 11th
In this linear equations worksheet, students graph linear equations and identify the domain and range of each function. This one-page worksheet contains five problems.
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Chapter 10 - Objective 6.1 Graph

For Students 11th - 12th
In this graphing worksheet, students solve linear and parabolic equations and graph equations on a coordinate plane. They use the discriminant to determine the number of x-intercepts of a parabola. This one-page worksheet contains ten...
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Absolute Value Equations

For Students 11th - Higher Ed
In this absolute value equations instructional activity, students solve ten absolute value equations. They first set the quantity inside the absolute value sign equal to the positive and negative value on the other side of the equal...
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Cramer's Rule

For Students 11th - Higher Ed
In this Cramer's Rule instructional activity, 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...
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Logarithms

For Students 11th
In this logarithms worksheet, 11th graders solve 10 different problems that include determining the single logarithm of each expression. First, they convert each logarithm to exponential form. Then, students solve each equation noting...
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Exponents

For Teachers 9th - 10th
Students solve exponential problems using exponential properties. In this algebra lesson, students discuss the meaning of exponents, and bases raised to different powers. They explore exponential functions using a computer.
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What's Its Slope

For Teachers 8th - 10th
Students identify the slope of a lines.In this algebra lesson, students define the  meaning of slope and write an equation given the slope. They graph linear functions using the slope and y-intercept.
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Exploring Quadratic Graphs

For Teachers 7th - 10th
Students solve quadratic equations using graphs. In this algebra lesson, students factor quadratic equations and graph their answer. They discuss the shape of their graph based on the function.
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Integers

For Teachers 9th - 11th
Students perform order of operation using integers. In this algebra lesson, students apply properties of integers as they add, subtract, multiply and divide integers. They work in groups to complete a RAFT assignment.
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The Phone Bill Problem

For Teachers 9th - 11th
Students write an equation for a linear function. In this algebra lesson, students collect data, plot it and graph it. They identify the equation of the graphed data and define the slope and y-intercept of the graph.
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Parabolas

For Teachers 9th - 11th
In this Algebra I/Algebra II worksheet, students identify the vertex and the axis of symmetry of a parabola, given the equation.  The two page worksheet contains a combination of ten multiple choice and free response...
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Exponential Growth and Decay

For Students 11th
In this Algebra II worksheet, 11th graders solve verbal problems that involve exponential growth or decay.  The two page worksheet contains a combination of seven multiple choice and free response questions.  Answers are...

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