EngageNY
Modeling with Quadratic Functions (part 2)
How many points are needed to define a unique parabola? Individuals work with data to answer this question. Ultimately, they determine the quadratic model when given three points. The concept is applied to data from a dropped object,...
EngageNY
Graphing Systems of Equations
Expand on learners' understanding of quadratic-linear systems. Building on the graphic understanding developed in the previous lesson, pupils learn algebraic methods of solving the systems.
Project Maths
Introduction to Quadratics
Develop conceptual knowledge of a quadratic equation and its solutions in your classes. The third algebra lesson in a series of four introduces learners to solving quadratic equations slowly. The first activity explores the zero product...
EngageNY
Analyzing a Graph
Collaborative groups utilize their knowledge of parent functions and transformations to determine the equations associated with graphs. The graph is then related to the scenario it represents.
West Contra Costa Unified School District
Linear-Quadratic Systems
Why do I have to learn two different ways to solve linear-quadratic systems? Isn't one way enough? Learners first investigate the three possible situations for linear-quadratic systems (two, one, or zero solutions), then solve such...
Radford University
Discovering Quadratics
Get to know quadratics from a couple of different perspectives. Classmates work in small groups to determine the optimal cooking time for microwave popcorn. Group members pop bags of popcorn for different times and collect data on the...
West Contra Costa Unified School District
Graphing Exponential Functions
Once you know how to graph y = b^x, the sky's the limit. Young mathematicians learn to graph basic exponential functions and identify key features, and then graph functions of the form f(x) = ab^(x – h) + k from the function f(x) = b^x.
Illustrative Mathematics
Graphs of Power Functions
There are parent functions, and then there are parent functions with a really interesting way to explore them. High schoolers are asked to graph different combinations of parent functions together and determine the point of intersection....
Curated OER
Parabolas
High schoolers investigate parabolas and their equations. In this parabolas and their equations lesson, students graph quadratic equations on their graphing calculator. High schoolers find the axis of symmetry of a parabola. Students...
Curated OER
Vertex Form of Parabolas
Using the method of completing the square, algebra learners rewrite quadratic equations from standard form to vertex form. They will also graph quadratics, stating the vertex and axis of symmetry. Solutions are provided.
Mt. San Antonio Collage
Test 1: Functions and Their Graphs
Save the time creating an assessment because these function problems should do the trick. With 10 multi-part questions, they each focus on a different topic including radical, polynomial, linear and piecewise functions. The majority of...
Fall River Schools
Parabolas Are All Around Us
Moving parabolas off of graph paper and into the real world is the task at hand in this detailed poster project. First, learners perform a cumulative activity identifying many characteristics of an assigned quadratic equation. Next, they...
Concord Consortium
Intersections I
One, two, or zero solutions—quadratic systems have a variety of solution possibilities. Using the parent function and the standard form of the function, learners describe the values of a, b, and c that produce each solution type. They...
CK-12 Foundation
Linear, Exponential, and Quadratic Models: Bernoulli Effect
How can an object as heavy as an airplane fly? Turns out the answer is quadratic! Your classes explore the Bernoulli Effect through an interactive graph representation. As a plane increases in speed, the lift force also increases. Young...
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...
CK-12 Foundation
Intercepts by Substitution: Finding a Linear Product Using a Quadratic
Discover another way to interpret multiplication. Using an interactive, learners slide points (representing the factors of multiplication) along the x-axis of the graph of y = x^2 and observe changes in the line segment connecting the...
CK-12 Foundation
Function Rules based on Graphs: Making Money in the Hat Business
Hats off to those learning about the graphs of functions. Individuals use an interactive to plot points representing profits for a hat business. They identify a quadratic equation to represent this function and answer challenge questions...
CK-12 Foundation
Using Quadratic Equations to Solve Problems: Construct a Soccer Field
Build a soccer field through a little mathematical analysis. Individuals manipulate the dimensions of a soccer field as they drag points to new positions. The simulation shows the corresponding intercepts and area. As pupils explore the...
Shodor Education Foundation
Function Flyer
Fly through graphing functions with the Function Flyer. Young mathematicians use an interactive to graph different types of functions. A set of exploration questions has users investigate patterns in functions.
Curated OER
Quadratic Functions
In this algebra activity, students graph quadratic functions and identify the vertex, axis of symmetry, maximum and minimum and intercepts. There are 7 questions.
Curated OER
Quadratic Functions and Stopping Distance
Students solve quadratic equations. In this algebra lesson, students factor and graph quadratic functions. they use the properties of quadratics to calculate the distance.
Inside Mathematics
Graphs (2007)
Challenge the class to utilize their knowledge of linear and quadratic functions to determine the intersection of the parent quadratic graph and linear proportional graphs. Using the pattern for the solutions, individuals develop a...
EngageNY
Transformations of the Quadratic Parent Function
Efficiently graph a quadratic function using transformations! Pupils graph quadratic equations by completing the square to determine the transformations. They locate the vertex and determine more points from a stretch or shrink and...
Virginia Department of Education
Quadratic Curve of Best Fit
Class members create a table of the number of chords that can be drawn given the number of points on a circle. Pupils analyze the data created, find a function to fit to it, and use the function to make further predictions.