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Curated OER
Stretching the Quads
Scholars investigate transforming parabolas. In this transforming parabolas lesson, they take the parent graph y=x^2 and transform it by shifting left, right, up, and down and shrinking and stretching. The class finds maximums,...
Curated OER
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.
Curated OER
Quadratics: Polynomial Form
High schoolers 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. ...
Curated OER
Standard Form of Equations
Learners complete the square and identify different parts of a quadratic equation. In this algebra lesson plan, pupils graph conics using the TI calculator. They rewrite equations by completing the square.
Curated OER
Building a General Quadratic Function
Learners rewrite a general quadratic function by completing the square to see a new form of the function that more easily identifies the x-coordinate of the vertex and the two roots of the function.
Curated OER
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.
Curated OER
Quadratic Equations and Parabolas
Students graph and solve quadratic equations. For this functions lesson, students analyze a quadratic equation using three points on a curve to define the graph of a quadratic function. They find the vertex and intercepts of the graph.
Curated OER
Complex Roots: A Graphical Solution
Using their Ti-Nspire to determine the solutions of parabolas, high schoolers explore the concept of complex roots. Students determine if parabolas have real or complex roots. High schoolers determine the the axis of symmetry...
Illustrative Mathematics
Which Function?
Throw some logic into quadratics and see if learners can match a vague graph to multiple equations. Young mathematicians must look at quadrant location, vertices, and intercepts to best match the graph to one or more equations.
EngageNY
Completing the Square (part 1)
Avoid the trap of memorizing steps when completing the square with a resources that provides a conceptual approach to completing the square. Learners that are able to recognize a perfect square trinomial are ready to complete the...
Curated OER
Thinking Outside the Box
Now this lesson sounds fun! Students throw a ball, film it as it soars through the air, and use a spreadsheet to collect data. A scatterplot is created to produce a quadratic regression equation, an equation in vertex form, and an...
West Contra Costa Unified School District
Conics Introduction and Parabolas
Where did conic sections get their name? The equation and graph of a parabola are developed from the definition of the conic section. Teacher examples on graphing the equation and writing an equation from the graph round out the plan.
Curated OER
Exploring Quadratic Equations
By stretching and translating the parabola given and determining the effects on the equation, students explore finding the vertex and zeros of a parabola and relate them to the equation. Students also view the intercept form to determine...
Curated OER
Properties of Parabolas
Have your learners investigate parabolas. In this Algebra II lesson, 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...
Illustrative Mathematics
Identifying Quadratic Functions
Put your high schoolers to the test and see how well they know their quadratic functions. With excellent thought-provoking questions, learners use what they know about creating quadratic equations based off different pieces of...
Curated OER
Bouncing Ball : Function Families
A bouncing ball serves as more than entertainment when learning to apply quadratic functions to real-world events. This is the second of a two-part lesson, which can also be accessed from the website. The instructions say to measure the...
Curated OER
Three Methods for Using Quadratic Functions to Model Data
In this modeling data worksheet, students use quadratic functions to model data using three different methods. This worksheet provides explanations and an example. Additionally, students are given the steps to find the...
EngageNY
Putting It All Together
Shuffle 'em up and deal! Learners practice operations with polynomials using cards they pass around the room. The activity works with pairs or individuals, so it offers great flexibility. This is the fifth installment in a series of 42...
Illustrative Mathematics
Which Function?
Learners are given a graph of a parabola on a coordinate system, but intercepts and vertex are not labeled. The task is to analyze eight given quadratic functions and determine which ones might possibly be represented by the graph. The...
Curated OER
Quadratic Equations
In this quadratic equations worksheet, students answer 15 questions about quadratic equations. Students complete the square, use the quadratic formula, write equations in vertex form, and solve quadratic equations by factoring.
Curated OER
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.
Curated OER
Properties of a Parabola
In this algebra worksheet, students identify the properties of a parabola. They factor and graph quadratic equations. There are 18 questions.
Curated OER
Minimum and Maximum of a Graph
Students find the solutions of polynomials through graphing. In this algebra instructional activity, students identify the maximum and minimum of each polynomial function. They ind the vertex, domain and range of a parabola.
Curated OER
Properties of Parabolas
Learn to identify the properties of parabolas. Students 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...