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Parabolas
High schoolers investigate parabolas and their equations. In this parabolas and their equations lesson, students graph quadratic equations on their graphing calculator. High schoolers find the axis of symmetry of a parabola. Students...
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Graphing Quadratic Functions
Pupils explore quadratic functions in this algebra lesson. They investigate transformation of quadratic functions using the TI calculator. They use the vertex form for this lesson.
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Explore Graphs and Factors
Pupils graph the factors of a quadratic as linear equations and graph the parabolic equation in factored form. Also, they investigate the relationship between the x-intercepts of the lines and the zeros of the parabola.
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Parabolas
Learn how to evaluate the derivatives of polynomials. Mathematicians find the derivative of a quadratic function and determine the value at a given value. Students compare the slope of the secant line through two points with the...
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Curve Ball
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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Properties of Parabolas
Have your learners investigate parabolas. In this Algebra II lesson plan, students explore the basic definition of a parabola by using Cabri Jr. to create a parabola given the focus and directrix. Students interpret the equation for a...
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Exploring Quadratic Equations
By stretching and translating the parabola given and determining the effects on the equation, young scholars explore finding the vertex and zeros of a parabola and relate them to the equation. Students also view the intercept form to...
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Complex Roots: A Graphical Solution
Using their Ti-Nspire to determine the solutions of parabolas, young scholars explore the concept of complex roots. Students determine if parabolas have real or complex roots. Young scholars determine the the axis of symmetry and the...
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Exploring Complex Roots
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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Properties of Parabolas
Learn to identify the properties of parabolas. Young scholars define parabola as the locus of all points equidistant from a fixed point and a fixed line. Also, interpret the equation for a parabola in vertex form and gain a visual...
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Graphing at all Levels: It's a Beautiful Thing!
Mixing math and art is done in this lesson by applying graphing knowledge to create a unique piece of art. This lesson varies acording to the graphing knowledge of the artist. First, learners identify and review various types of graphing...
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Up, Down, Right, Left - Function Families
Students explore quadratic functions. In this function family worksheet, students examine the quadratic function and the family of functions. They identify the affects of the shape of the parabola and its position on the coordinate...
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Properties of Parabolas
In this properties of parabolas worksheet, students identify the vertex and the minimum and maximum value of each parabola. They graph parabolas on a coordinate plane. This four-page worksheet contains 14 problems. Answers are provided...
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Practice Test: Vector Equations
In this vector equations worksheet, students sketch curves when given vector equations. They determine when two curves intersect and find the tangential and normal components of an acceleration vector. This one-page worksheet contains 6...
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Further Differentiation
In this further differentiation worksheet, 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 and describe...
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Maximum and Minimum Word Problems
In this maximum and minimum instructional activity, students solve and complete 10 various types of word problems. First, they find the numbers if the product of the square of one of the numbers with the cube of the other number is to be...
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Parabolas
For this parabolas worksheet, 11th graders solve and complete 9 different problems. First, they graph each parabola given and all of the other information asked. Then, students use each graph shown to write the equation for each parabola...
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Functions
In this functions worksheet, 11th graders solve and complete 30 various types of multiple choice problems that include reading and interpreting functions and patterns. First, they determine the table that best represents a function....
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Circles and Parabolas
In this circles and parabolas, high schoolers write and graph equations for 14 problems. Students locate the center and radius for 8 circles. High schoolers write equations for 4 parabolas.
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Parabolas
In this parabolas worksheet, students write the equation of 6 parabolas in standard form and then sketch their graphs. Students then write 13 equations for parabolas given certain information.
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Investigating Parabolas
In this investigating parabolas worksheet, 9th graders solve and graph 7 different problems that include graphing various equations that represent parabolas. First, they sketch their graphs to each problem. Then, students determine what...
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Graphs of Parabolas
In this graphs of parabolas activity, 10th graders solve 10 different problems that include the graphs of various parabolas. First, they graph the parabola given the equation to determine which way the parabola opens. Then, students...
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Parabolic Equations
In this parabolic activity, students write an equation of a parabola which satisfies given conditions. They match equations to the correct graph. Students identify the vertex, domain and range of an equation. This one-page activity...
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Graphs of Quadratic Functions
For this quadratic function worksheet, students solve and graph quadratic functions. Functions contain both positive and negative integers, fractions, and perfect squares. Graph paper is located below each equation. There are 36...