Curated OER
Quadratic Equations
For 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
Find Minimum and Maximum
Learners engage in a lesson about finding the values of different graphs written in the vertex form. They rewrite each quadratic equation in vertex form while graphing the equation with the visual display of a parabola that matches the...
Curated OER
Finding the Vertex of a Quadratic Function
Students solve quadratic equations and identify the vertex. In this algebra instructional activity, students factor quadratic equations and identify the different properties of a parabola. They graph the functions using the vertex and...
NASA
Weightless Wonder
A video of the weightless wonder provides a setting for the math to follow. Groups analyze the graph of a quadratic function that models the path of the C-9 as it gives astronauts the experience of weightlessness. Using a graphing...
Curated OER
Investigating Parabolas
Students identify properties of parabolas. In this algebra lesson, students factor quadratic equations and identify the properties of parabolas. They find the roots, vertex and intercepts of a parabola.
Curated OER
Quadratic Relation and Parabola
Students identify the vertex and intercepts of a parabola. In this algebra instructional activity, students graph parabolas and factor quadratic equations. They perform transformation on the parabolas.
Curated OER
Writing Equations of Parabolas
In this algebra worksheet, students are given the vertex and focus of each parabola and asked to write the equation of the parabola. They are given the directrix and vertex and asked to write the equation of the parabola. There are 24...
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
Standard Form of Quadratic Functions
Students factor quadratic equations. In this algebra lesson plan, students identify the factors and use them to graph the parabola. They find the parameters and vertex of each graph.
Curated OER
Make Up Test on Solving Quadratics
In this solving quadratics worksheet, 10th graders write radicals in the simplest form. They solve quadratics by factoring, completing the square, and through the use of the quadratic formula. Students determine the vertex and axis of...
Curated OER
Complex Roots: A Graphical Solution
Using their Ti-Nspire to determine the solutions of parabolas, students explore the concept of complex roots. Students determine if parabolas have real or complex roots. Students determine the the axis of symmetry and the vertex given...
Curated OER
Lesson Plan 1: Up, Down, Right, Left - Function Families
Students work in small groups to draw the trajectory of several scenarios. They label parts of the resulting parabola (vertex, axis of symmetry). Students complete four stations to explore quadratic functions.
CK-12 Foundation
Quadratic Functions and Their Graphs: Soccer Ball Trajectory
Determine critical points in the flight of a soccer ball. Pupils use an interactive resource to find the vertex and x-intercepts of the graph of the trajectory of a soccer ball after being kicked. Scholars investigate the trajectory...
Flipped Math
Intro to Quadratics
Quadratics need no introduction, but here is one anyway. Learners watch a video that introduces them to quadratics. The pupils learn what a quadratic is, its key features, and how to sketch a graph of the parabola it defines. Then, they...
Radford University
Rocket Quads
How high will it fly? Pairs build straw rockets and launch them at different angles and determine the height and horizontal distance of the flight path. Teams make conjectures about how the angle affects the measured distances and use...
Curated OER
Properties of a Parabola
In this algebra instructional activity, students identify the properties of a parabola. They factor and graph quadratic equations. There are 18 questions.
Curated OER
Writing in the Math Classroom
Students determine the vertex, y-intercept and direction of a parabola and write an explanation of how to graph a parabola. They collect and graph data using a calculator.
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 maximum or...
Illustrative Mathematics
Springboard Dive
Quadratics and height application problems go hand in hand like teenagers and sleeping in. High schoolers must look at the equation of a diver's height and calculate such features as the height of dive board, time entering the water, and...
Curated OER
Classifying Conic Sections
In this conic section learning exercise, students classify 8 conic sections. They write the standard form of 8 conic sections. Students sketch the graph of six shapes. For the graphs, students are directed to find either vertex and...
Mathematics Vision Project
Structures of Expressions
This comprehensive unit investigates transformations of quadratics, having learners follow "Optima" through the development and growth of her quilting business. Deftly weaving the story into the mathematical mechanics, the unit gives...
Illustrative Mathematics
Building an Explicit Quadratic Function by Composition
Use an activity to illustrate the different forms of a quadratic function. Here, the task asks learners to use composition of given functions to build an explicit function. The process emphasizes the impact of the order of composition...
Mathematics Vision Project
Module 7: Structure of Expressions
The structure of an expression is a descriptive feature. Learners build a solid understanding of quadratic functions using an analysis of expressions in different forms. The seventh module in a series of nine includes 12 lessons...
Curated OER
Hyperbolas: Sketching from the Equation
In this algebra worksheet, young scholars sketch graphs of hyperbolas after solving equations to standard form and interpreting the center, vertices, foci, axis, asymptotes, and eccentricity from the equation. There are 58 questions.