Curated OER
Graphs and Functions
Middle schoolers describe plotting functions on the Cartesian coordinate plane. They solve functions on paper and using an online tool to plot points on a Cartesian coordinate plane creating lines and parabolas.
Pace University
Grades 9-10 Algebra: Graphic Quadratics on the Coordinate Plane
Find quadratics in the world. Learners select ways to compare and contrast linear and quadratic functions and how to demonstrate knowledge of parabolas in the world. Teachers assign a third task challenging individuals to find equations...
Curated OER
Hyperbolas: Sketching from the Equation
In this algebra worksheet, students 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.
Radford University
How High Can You Throw?
Find heights by measuring time. Teams collect data to determine the height that a tennis ball is thrown. Classmates measure the height of the initial release of the ball and how long it stays aloft. Using a projectile motion equation,...
Curated OER
Conic Sections
In this conic sections worksheet, students solve and complete 8 different problems identifying various types of conic sections. First, they write each equation given in standard form. Then, students determine whether the graph of each of...
CK-12 Foundation
Discriminant
Discriminate between the types of roots. The interactive root introduces the discriminant and its connection to the types and number of roots. Pupils use a slider to view graphically the effect of the sign of the discriminant on a...
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 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.
Curated OER
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...
Curated OER
Equations for Curves Passing through a Given Set of Points
Learner use three random locations on the coordinate system and simplify the expression and assign result to the variable loc. They substitute guesses for the center and radius of the circle in the equation for the center of a circle and...
Curated OER
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...
Curated OER
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.
Curated OER
Using the Distance Formula
In this distance formula activity, students solve and complete 30 various types of problems. First, they find the exact distance between each pair of points and make a sketch of the situation. Then, students find the center, horizontal...
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
Parabola With Horizontal Directrix
Young scholars find the vertex, directrix, and focus of a parabola and graph parabolic functions. They solve problems involving parabolas after a demonstration lesson plan by the teacher.
Curated OER
Parabola with Horizontal Directrix
Students find the vertex, directrix, and focus of a parabola. They graph parabolic functions and solve application problems involving parabalas.
Curated OER
NUMB3RS Activity: Fresh Air and Parabolas
Explore parabolas and investigate linear and quadratic functions to solve problems symbolically and graphically. Also use parametric functions to display trajectories on a graphing calculator.
West Contra Costa Unified School District
Particle Motion
Derivatives are useful for many things — they can even keep track of particle motion. An informative lesson plan provides an introduction to the idea of the second derivative in particle motion. Class members determine the...
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
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...
Curated OER
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.
Curated OER
Application of Parabolas
Students graph quadratic equations. In this algebra lesson, students relate the parabola to real life applications. They identify the maximum and minimum of the parabola.
Curated OER
Don't Let Parabolas Throw You
Students identify relation, function, patterns and range. In this algebra lesson, students factor and graph quadratic equations. They use transformation to move the parabola around and make predictions.
Curated OER
Chapter 10 - Objective 6.1 Graph
In this graphing worksheet, learners solve linear and parabolic equations and graph equations on a coordinate plane. They use the discriminant to determine the number of x-intercepts of a parabola. This one-page worksheet contains ten...