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Applications of Quadratic Functions

For Students 11th - Higher Ed
In this math activity, students investigate the quadratic functions. They solve the word problems while writing the new algebra expressions.
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Four Graphs of Transformations Problems

For Students 10th - Higher Ed
In this transformations worksheet, learners sketch transformations of given graphs in four problems.  In one of these problems students match graphs to equations.
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Lesson Plan
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Representing Quadratics

For Teachers 8th - 11th
Students represent quadratic equations using different methods. In this algebra lesson plan, students solve quadratics using substitution, elimination and graphing. They relate quadratics to the real world.
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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
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Hang Time

For Teachers 9th - 12th
Young scholars use the equation to calculate the vertical distance an object fall during 1 second in 1/10 second increments. (The acceleration due to gravity on the Earth=a= 9.8 m/s2) Using a graphing calculator, students plot the path...
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Worksheet 14

For Students 11th - Higher Ed
In this math worksheet, students graph the function f(x) = sinx on a set of axes that is at least half the size of a page of notebook paper.
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Worksheet 34 - Fall 1995

For Students 11th - Higher Ed
For this math worksheet, students sketch the finite area whose boundary is composed of pieces of the curves x =1− y 4 and x = y2 − 1.
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Worksheet
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Numerical Analysis: Solving Systems Of Non-Linear Equations

For Students Higher Ed
In this numerical analysis activity, students solve systems of non-linear equations. Examples and explanation are provided. This two-page activity contains approximately three problems.
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Lesson Plan
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Quadratic Modeling Of Canada's Baby Boom

For Teachers 9th - 12th
Students model quadratic equations. In this algebra lesson, students are given data to graph using a function. They investigate vertex and transformation of quadratic functions.  
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Don't Fence Me In: Prisms

For Students 9th - 12th
In this prism worksheet students explore the best way to divide a rectangular region into four areas using parallel lines.  This one-page worksheet contains 1 problem.  The answer is provided.
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Hyperbolas

For Students 8th - 11th
In this algebra worksheet, learners identify the graphs of hyperbolas. They find the center and directrix. There are 10 questions.
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Graphing Nonlinear Equations

For Teachers 6th - 7th
Learners graph non-linear equations. In this algebra instructional activity, students investigate different polynomial functions and their shapes. They identify the different powers and zeros.
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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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Diameter, Radius and Area

For Teachers 9th - 10th
Students calculate the diameter, radius and area of a circle. In this geometry lesson, students investigate the different ratios of a circle. They calculate the surface are of each circle.
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Loyalists

For Teachers 9th - 12th
High schoolers explain why some colonists remained loyal to England during the American revolution. In this social studies lesson, students write a letter to an editor about their reasons for remaining loyal to England.
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Chronic Conics

For Teachers 4th
Fourth graders use two activities to draw four different conic sections. One activity is of a physical nature and one is traditional paper and pencil.
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Kepler And His Laws

For Teachers 9th - 12th
Students engage in an overview of the story of Tycho Brahe and Johannes Kepler, and of Kepler's laws. Each of Kepler's laws be studied separately in more detail in later lessons. They examine Kepler's 3rd law.
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Technology - Chaos Theory Lab

For Teachers 9th
Ninth graders gain an understanding of Chaos Theory that exists in one's everyday environment.
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Kepler and his Laws

For Teachers 9th - 12th
Students examine Kepler's Laws. They confirm Kepler's 3rd law by comparing orbital periods and mean distances for all major planets and study conic sections, qualitatively.
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Conic Sections

For Teachers 10th - 12th
Students, while using a graphing calculator, graph systems of conic sections as well as identify their solutions. They complete various word problems dealing with conic sections with their calculators. In addition, students sketch graphs...
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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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Storefront Signs

For Teachers 6th - 8th Standards
Learners practice finding the areas and patterns within a square and explore the concept of quadratic functions. They observe and record the area values in a table, plot a graph of Area versus Distance and complete a variety of student...
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Introduction to Slope Fields

For Teachers 11th - 12th
Young scholars plot slope fields. In this introduction to slope fields lesson, students plot 12 slope fields for given differential equations.
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Epidemic or False Alert?

For Students Higher Ed
In this rate activity, students use the SIR model to determine if a disease is spreading at an epidemic rate. They find the slope of a curve and the slope of a line that goes through a given point. This two-page activity contains...

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