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
Three Methods for Using Quadratic Functions to Model Data
In this modeling data learning exercise, students use quadratic functions to model data using three different methods. This learning exercise provides explanations and an example. Additionally, students are given the steps to find 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
Create a Height-Time plot of a bouncing ball using a graphing calculator. Graph height as a function of time and identify the vertex form of a quadratic equation that is generated to describe the ball's motion. Finally, answer questions...
CK-12 Foundation
Quadratic Functions and Equations
The form of a quadratic function paints a picture of its graph. Young mathematicians explore this connection by locating key features on a graph and then writing the corresponding equations. The interactive tutorial highlights key...
Curated OER
Exploring Quadratic Data with Transformation Graphing
Using a data collection device to collect data regarding a bouncing ball, students use various features on graphing calculators to experiment with the parameters of the vertex form of the parabola and their effect on the shape of the...
Illustrative Mathematics
Throwing Baseballs
This is a wonderful exercise for learners to apply their critical thinking skills along with their knowledge of quadratic functions and parabolas. Young mathematicians investigate a real-world scenario about the height a baseball reaches...
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.
Curated OER
Confocal Conics
Students describe conic sections from an equation or graph. They examine a family of conics that share a vertex, describe their relationship and write an equation. Students interpret the relationship between conic sections and write...
Curated OER
Graphing Quadratic Equations
Review the form of a quadratic function, and the parabola it creates. Continue on with the whole group to work through a mini-lab, practicing how to graph quadratic equations with one variable. The goal of this lesson is for the group...
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
Graphs and Equations of Conic Sections Practice Test
In this conic section worksheet, learners complete a thirty-one question practice test containing matching and problem solving conic equation and conic graph problems. The solutions are provided.
Curated OER
Area and Volume
For this area and volume worksheet, 10th graders solve and complete 6 different types of problems. First, they find the numbers if the product of one of the numbers with the square of the other number is to be as large as possible. Then,...
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.
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
Discovery Research of Quadratics
Students investigate the properties behind the quadratic equation. In this algebra lesson plan, students identify quadratic equation in the real world. They graph the parabola and identify the vertex and intercepts.
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
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...
Curated OER
Kitchen Paraboloids
Students solve quadratic equations and identify functions. In this algebra lesson, students graph parabolas and identify properties describing the shape of the parabola. They find the vertex and rewrite the equation in standard form.
Curated OER
Parabolic Paths
High schoolers investigate properties of parabolas. For this algebra lesson, students identify the different paths of a parabola. They use the navigator to make observations of the parabola.
Curated OER
Skills Review Sheet: Equations
Learners find the equation that passes through two given points. They then locate the intersection of two lines, and find the x and y intercepts for four parabolas when given their equations. Answers are provided.
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...
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
Maximum and Minimum Values
In this Algebra II worksheet, 11th graders complete the square to write a quadratic equation in Standard form. Students identify the vertex, sketch the graph and state the maximum or minimum value of the functions. The one page...