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Standard Form of Quadratic Functions
High schoolers factor quadratic equations. For this algebra lesson, students identify the factors and use them to graph the parabola. They find the parameters and vertex of each graph.
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Slopes and Slope Intercepts
Young scholars identify the slope of an equation using various methods. In this algebra lesson, students graph linear equations and calculate the slopes using the x and y intercept to solve the equations and graph the lines. They use the...
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Graphic Designing with Transformed Functions
Teach your class how to transform a graph! By identifying the domain and range of the functions, young scholars can observe the parabola and find the vertex of the transformed graph.
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Graphs of Quadratic Functions
How high is too high for a belly flop? Learners analyze data to model the world record belly flop using a quadratic equation. They create a graph and analyze the key features and apply them to the context of the video.
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Mathematical Relationships
Young scholars practice graphing a linear equation and a parabolic equation. They work cooperatively to select numbers, including fractions, which they will put into ordered pairs. Students explain their process to the class, discussing...
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Maxima Minima Problems
In this algebra worksheet, students find the maxima and the minima of the parabola. They calculate the maximum and minimum area and apply the formulas of polygons to help them solve equations. There are 8 questions with an answer key.
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Quadratic Equation Calculator
In this Algebra II worksheet, 11th graders use an online quadratic equation solver to find the zeros of a quadratic. The one page interactive worksheet provides one worked example and the equation solver.
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Translating Parabolas
Students make informed choices among technology systems, resources, and services. They select and apply technology tools for research, information analysis, problem solving, and decision making in content learning.
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Parabolas in Flight
High schoolers utilize a trajectory formula in order to discover the physics of a thrown ball. For this physics lesson, students videotape the trajectory of a thrown ball or basketball shot and analyze the action by breaking the...
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Hang Time
Students 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 of a...
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Graphing Quadratic Functions
Students graph quadratic functions. In this algebra lesson, students identify the vertex and intercepts of a quadratic equations and graph the parabola. They find the axis of symmetry and make a table to find the values of the parabola.
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Solving Quadratic Equations by Graphing
Students solve quadratic equation by graphing. In 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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Diameter, Radius and Area
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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Collecting And Fitting Quadratic Data
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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Quadratic Formula
Young scholars factor and solve quadratic equations.In this algebra lesson, students identify the roots of an equation using the quadratic formula. They graph and identify the properties of a parabola.
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Finding the Vertex of a Quadratic Function
Students solve quadratic equations and identify the vertex. In this algebra lesson, students factor quadratic equations and identify the different properties of a parabola. They graph the functions using the vertex and intercepts.
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Model Data with Quadratic Functions
Students model data using quadratic equations. In this algebra lesson, students simplify and factor quadratic equations. They graph the function using collected data and analyze the parabola.
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The Doctrine of Signatures
Learners use the graphing calculator and the core equation: y=Ax^2+Bx+C where A = the acceleration of gravity/2, B = the initial velocity, and C = initial height above ground to graph parabolas for Earth and Mars. They experiment with...
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A Study of a Quadratic Function
Learners factor and solve quadratic equations. In this algebra lesson, students play a game as the collect and graph data. they identify properties of their parabola and make predictions.
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Four Calculus Derivative, Extrema, and Maximize Area Problems
In this calculus review worksheet, students find derivatives, calculate extrema on an interval, and maximize area. Students should be familiar with the derivatives of trigonometric functions.
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Effects of Parameter Changes
Students define properties of a quadratic equation. In this algebra instructional activity, students graph and factor quadratic functions. They write equations for polynomials, given a graph.
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Transformations of a Quadratic Function
Students graph quadratic functions. In this algebra lesson, students perform transformation on the TI calculator as they create a visual. They identify the vertex and intercepts of the parabola.
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Lesson #67 Relative Extrema
Students test for relative extrema. In this Calculus activity, 12th graders investigate the relative extrema of a function and sketch the curve from the given information without the use of a calculator.
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Quadratic Formula
Mathematicians determine the solutions of a quadratic function by looking at a graph. They use the quadratic formula to solve quadratic functions on their Ti-Nspire.