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Standard Form of Quadratic Functions
Students factor quadratic equations. In 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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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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The Doctrine of Signatures
Students 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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Collecting And Fitting Quadratic Data
Learners 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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Forms of Quadratic Equations
Transformations of parabolas to fit a particular quadratic equation is taught through this lesson. In this transforming parabolas to fit a particular quadratic equation lesson, students describe the transformations of the parabola...
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Mathematical Relationships
Students 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 what...
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Effects of Parameter Changes
Students define properties of a quadratic equation. In this algebra lesson plan, students graph and factor quadratic functions. They write equations for polynomials, given a graph.
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Unit Plan On Quadratic Equations
Students explore a variety of ways of solving quadratic equations. Students choose from graphing, factoring, finding square roots, completing the square and using the Quadratic formula. They ponder in the end on polynomial equations.
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Introduction to Conic Sections
Learners slice cones and identify the different conics formed. They then derive the formula to solve problems involving cones. Pull out the TI calculators to visualize the slicing and the different parts and properties created.
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Parabolic Paths
Students investigate properties of parabolas. In this algebra lesson, students identify the different paths of a parabola. They use the navigator to make observations of the parabola.
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Exploring the Area Under a Curve
Using TI-89, mathematicians explore and investigate Riemann sums to estimate the area under the graphs of intervals by drawing and illustrating rectangles. They review and practice the concepts of summation notation and area formulas to...
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Slopes and Slope Intercepts
Students 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 slope...
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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, students can observe the parabola and find the vertex of the transformed graph.
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Introduction to Solving Quadratic Equations by Factoring
Pupils 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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Quadratic Formula
Pupils 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 plan, students simplify and factor quadratic equations. They graph the function using collected data and analyze the parabola.
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A Study of a Quadratic Function
Students factor and solve quadratic equations. In this algebra instructional activity, students play a game as the collect and graph data. they identify properties of their parabola and make predictions.
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Systems of Equations
Students solve systems of equations. In this algebra activity, students use elimination and substitution to solve for the point of intersection. They use graphing to see where the two lines intersect.
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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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Quadratics: Polynomial Form
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
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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Transformations of a Quadratic Function
Students graph quadratic functions. In this algebra instructional activity, 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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"Ball Bounce" Quadratic Functions
Young scholars manipulate a ball and explore quadratic functions. In this algebra lesson, learners analyze the graph of a quadratic function. They identify quadratic properties.