Illustrative Mathematics
Building an Explicit Quadratic Function by Composition
Use equivalent expressions to reveal information about their graphs. Pupils verify that two quadratic functions are equivalent. By comparing the two expressions, they determine the vertex, the zeros, the y-intercept, and the...
Radford University
Midsummer Classic’s Homerun Derby
Hit a home run with your lessons. A two-part activity has learners explore quadratic equations that model the path of a baseball. They see how changing the initial speed of the ball affects its maximum height, maximum horizontal...
Mt. San Antonio Collage
Quiz 1: Types of Functions
Sometimes the best things are already done for you! Here is a six-problem quiz that has a variety of problems ranging from solving quadratic equations to interpreting a function. The piece-de-resistance is the worked out answer key in...
Curated OER
Quadratics and the Discriminant
In this algebra worksheet, students calculate the discriminant of a quadratic equation identifying the number of real solution for each equation. They complete the square and use the quadratic function to solve equations. There are 12...
Curated OER
Topic 6.7 - Graphing and Solving Quadratic Inequalities
In this quadratic inequalities worksheet, students graph and then solve the 6 quadratic inequalities on this page. The worksheet has blank graphs for each problem and space available to show work.
Curated OER
Algebraic Equations
In this algebraic equations worksheet, 9th graders solve 10 different problems that include solving various types of algebraic equations. First, they determine the equation of a line and solve the absolute value of an inequality shown....
Curated OER
Exploring Quadratic Graphs
Students solve quadratic equations using graphs. In this algebra lesson, students factor quadratic equations and graph their answer. They discuss the shape of their graph based on the function.
Curated OER
The Graph of a Quadratic Function
In this Algebra I/Algebra II activity, students graph quadratic functions. The five page activity contains a combination thirteen multiple choice and free response questions. Answers are included.
Curated OER
Parabolic Equations
In this parabolic activity, students write an equation of a parabola which satisfies given conditions. They match equations to the correct graph. Students identify the vertex, domain and range of an equation. This one-page activity...
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
Investigating Parabolas
In this investigating parabolas worksheet, 9th graders solve and graph 7 different problems that include graphing various equations that represent parabolas. First, they sketch their graphs to each problem. Then, students determine what...
Concord Consortium
Betweenness II
Read between the curves ... quadratic curves! Young scholars analyze the graphs of two quadratic functions by writing their own function whose outputs are between the two given. They then consider intersecting quadratic functions and...
Curated OER
Building Functions
Pupils determine equations that match the graphs of transformations and the parent quadratic function. The resource requires class members to attend to precision and think abstractly.
EngageNY
Stretching and Shrinking Graphs of Functions
Why is that graph wider? Pupils learn about stretching and shrinking graphs of square root, absolute value, cubic, and quadratic functions. They study both vertical and horizontal stretches and shrinks in addition to reflections.
Mathematics Assessment Project
College and Career Readiness Mathematics Test A1
A six-page test covers content from several different high school math courses. It incorporates a few short answer, graphing, and word problems. It also allows room for mathematical reasoning and analysis.
Concord Consortium
Broken Spreadsheet I
There is power in spreadsheet formulas and learners use this power to model quadratic data. Given a scatterplot of a parabola, pupils create formulas in a spreadsheet to populate the data. The formulas they use lead to an understanding...
Inside Mathematics
Printing Tickets
Determine the better deal. Pupils write the equation for the cost of printing tickets from different printers. They compare the costs graphically and algebraicaly to determine which printer has the best deal based upon the quantity of...
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...
EngageNY
A Surprising Boost from Geometry
Working with imaginary numbers — this is where it gets complex! After exploring the graph of complex numbers, learners simplify them using addition, subtraction, and multiplication.
EngageNY
Overcoming a Third Obstacle to Factoring— What If There Are No Real Number Solutions?
Time for pupils to use their imagination! Learners examine the relationship between a system with no real solution and its graph. They then verify their discoveries with algebra.
Mathalicious
Out of Left Field
A baseball trajectory and a parabola seem to make the best pair in real-world quadratic applications. Here is a current baseball resource with questions, discussions, and explorations regarding a quadratic function and home run...
Del Mar College
Quick Reference Card
A neat and organized formula handout makes the circle go round, doesn't it? Full of higher algebra topics, formulas and rules, graphs and definitions—there is a way to support everyone in Algebra II or Pre-Calculus.
Curated OER
Parabolas
Students find equations of parabolas in real world scenarios. In this finding equations of parabolas in real world scenarios lesson, students find the equations of parabolas of US landmarks. Students put a grid on landmarks...
Curated OER
Model Data with Quadratic Functions
Students model data using quadratic equations. In this algebra lesson, students simplify and factor quadratic equations. They graph the function using collected data and analyze the parabola.