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Worksheet
Curated OER

Polynomial Function Exam 4

For Students 10th - 12th
In this polynomial learning exercise, students solve 12 questions. The first five questions deal with the roots of the polynomials. Students state the inverse for one problem and the reciprocal for one problem. They make three graphs,...
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Lesson Plan
Curated OER

Functions and Inverses

For Teachers 9th - 12th Standards
Students solve problems identifying the functions and inverses. In this algebra instructional activity, students identify a one-to-one function, and perform the horizontal line test. They analyze data and graph their results on a graph.
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Lesson Plan
Curated OER

Curve Ball

For Teachers 6th - 9th Standards
Learners explore the concept of parabolas by collecting quadratic data on a bouncing ball as it is falling using a motion detector. They plot the data and determine the equation of the quadratic in vertex form, then determine the values...
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Lesson Plan
Curated OER

Complex Roots: A Graphical Solution

For Teachers 9th - 12th Standards
Using their Ti-Nspire to determine the solutions of parabolas, students explore the concept of complex roots.  Students determine if parabolas have real or complex roots.  Students determine the the axis of symmetry and the vertex given...
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Lesson Plan
Alabama Learning Exchange

Technology for Displaying Trigonometric Graph Behavior: Sine and Cosine

For Teachers 10th - 12th Standards
Students explore the concept of sine and cosine.  In this sine and cosine activity, students work in groups to graph sine and cosine functions.  Students examine how coefficients in various parts of each parent function shift the graph. ...
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Lesson Plan
Curated OER

Quadratics: Polynomial Form

For Teachers 9th - 12th
Students determine how to use the polynomial form of a quadratic equation to find the location of the vertex on a graph. They determine how changes in the coefficients in a quadratic function affect its vertex on a graph. Students find...
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Lesson Plan
Curated OER

Introduction to Solving Quadratic Equations by Factoring

For Teachers 7th - 10th
Students solve quadratic equations. In this algebra lesson, students factor and graph linear and quadratic functions. They identify the standard and linear form of each equation.
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Lesson Plan
Curated OER

Linear-Quadratic Inequalities

For Teachers 9th - 12th Standards
High schoolers graph linear and quadratic functions. In this algebra lesson, students create graph with specific coordinate points. They use the Ti to visualise and differentiate between the two functions.
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Lesson Plan
Curated OER

Maximum and Minimum Values

For Teachers 11th
In this Algebra II worksheet, 11th graders complete the square to write a quadratic equation in Standard form.  Students identify the vertex, sketch the graph and state the maximum or minimum value of the functions.  The one page...
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Lesson Plan
Curated OER

The Quadratic Formula

For Teachers 7th - 10th
Students solve quadratic function by completing the square. For this algebra lesson, students use the quadratic formula to factor quadratics and find the roots. They graph the parabola and identify its properties.
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Lesson Plan
Curated OER

Solving Quadratic Equations by Graphing

For Teachers 9th - 10th
Students solve quadratic equation by graphing. For this algebra lesson, students use the TI calculator to get a visual of their graph. They create a table of values, plot their points and graph the parabola.
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Lesson Plan
Curated OER

Ball Toss Activity

For Teachers 9th - 12th Standards
Pupils collect data from tossing a ball into the air. Using a data collection device, they graph the data, set a window, and analyze the height of the toss, how long the ball was in the air, etc. They then find an equation that models...
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Worksheet
Curated OER

Chapter 3 - Worksheet 3D

For Students 11th - 12th
In this pre-calculus worksheet 3D, students determine if a function is even or odd. They sketch graphs of functions and find the inverse of functions. This two-page worksheet contains 18 problems.
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Lesson Plan
Curated OER

Linear Graphs and Patterns

For Teachers 5th
Fifth graders find pairs of whole number co-ordinates and use them to draw graphs in problem contexts. They find and interpret the all meaningful pairs of whole number co-ordinates from graphs.
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Lesson Plan
Curated OER

Worksheet 6, Graphing Functions

For Teachers 9th - 10th
In this algebra worksheet students graph a given function by completing the square. They analyze a function and tell the axis of symmetry, the intercepts, and vertex. Students identify the maximum or minimum of a graph. Students identify...
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Lesson Plan
Curated OER

Parabolic Paths

For Teachers 9th - 12th Standards
Learners investigate properties of parabolas. In this algebra lesson plan, students identify the different paths of a parabola. They use the navigator to make observations of the parabola.
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Worksheet
Curated OER

Solving Quadratic Equations

For Students 9th - 11th
In this Algebra I/Algebra II instructional activity, students solve quadratic equations by graphing and by taking the square root of both sides.  The two page instructional activity contains a combination five multiple choice and free...
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Worksheet
Curated OER

Further Differentiation

For Students 11th - Higher Ed
In this further differentiation instructional activity, students solve and complete 7 various types of problems. First, they sketch the graph of each equation using a stationary point. Then, students find the stationary points of each...
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Lesson Plan
Curated OER

Exploring Complex Roots

For Teachers 9th - Higher Ed Standards
In exploring the concept of complex roots, students find the axis of symmetry and roots of parabolas.  Then, they discuss what makes a solution complex and how to identify functions with complex roots.
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Lesson Plan
Curated OER

Graphic Designing with Transformed Functions

For Teachers 9th - 12th Standards
Teach your class how to transform a graph! By identifying the domain and range of the functions, learners can observe the parabola and find the vertex of the transformed graph.
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Lesson Plan
Curated OER

Linear and Quadratic Approximations

For Teachers 11th - 12th
Young scholars explore a linear, a parabolic, and a log function.  In this Algebra II/Pre-calculus lesson students investigate the graph a line, a parabola, and a log function.  Young scholars examine the three graphs as they compare and...
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Lesson Plan
Curated OER

Collecting And Fitting Quadratic Data

For Teachers 9th - 12th
Students investigate the concept of using quadratic data to plot coordinates on a plane. They also apply the quadratic formula for a variety of problems with the help of a graphing calculator to draw the parabola for given coordinates.
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Lesson Plan
Curated OER

Products of Linear Functions

For Teachers 8th - 10th
Students investigate the horizontal intercepts of functions. In this algebra lesson, students identify whether the factor of two functions results in a quadratic equation or not. They compare and contrast linear equations and higher...
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Lesson Plan
Curated OER

Inequalities 7.3

For Teachers 7th - 8th
Graph inequalities and discuss the difference in their slopes. Learners observe rate of change as they compare linear, quadratic, and cubic functions.