Illustrative Mathematics
Introduction to Linear Functions
Introduce your algebra learners to linear and quadratic functions. Learners compare the differences and relate them back to the equations and graphs. Lead your class to discussions on the properties of a function or a constant slope...
Curated OER
Skeleton Tower
Your algebra learners build a quadratic function in this task of counting the blocks used to build objects. The arithmetic sequence that shows up brings up a shortcut to the long addition using the Gauss Method. Eventually, learners...
Agile Mind
Transforming Graphs of Quadratic Functions
In the activity on this webpage, learners use interactive graphing technology to investigate transformations of graphs. In the first part of the task, they look at the graph of a quadratic function with coordinates of a few points...
Curated OER
Profit of a Company
Your business executives choose which of three equivalent forms of a quadratic equation is the most useful for finding various pieces of information in this task centered on a company's profits.
Howard County Schools
Building a Playground
Scholars crave practical application. Let them use the different models of a quadratic function to plan the size and shape of a school playground. They convert between the different forms and maximize area.
Curated OER
What Functions do Two Graph Points Determine?
Your algebra learners write linear, exponential, and quadratic equations containing the same two graph points in this collaborative task.
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...
Point Pleasant Beach School District
Parabola Project
Class members select a picture that contains a parabola and construct a drawing of it using function graphs in the quadratic project. Individuals restrict the domains of the functions to create a more accurate drawing. They then submit a...
Curated OER
Linear and Quadratic System
Learners find the common point of a linear and quadratic system given a graph of the system. Then they find a specific point located only on the parabola.
Illustrative Mathematics
Transforming the graph of a function
This activity guides learners through an exploration of common transformations of the graph of a function. Given the graph of a function f(x), students generate the graphs of f(x + c), f(x) + c, and cf(x) for...
PBL Pathways
Arch Project
Model real-life structures with mathematics. A project-based lesson presents a problem situation requiring classes to develop a function to model the St. Louis Arch and the Rainbow Bridge in Arizona. They create their models by...
Ms. Amber Nakamura's Mathematics Website
Algebra Project
What would your dream house look like? A cottage? A medieval castle? High schoolers enrolled in Algebra design the perfect house while using slopes to write equations for various aspects of the project.
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...
PBL Pathways
Maximizing Movie Revenue
Can theaters increase profits by raising or lowering ticket prices? Using data from the National Association of Theater Owners, classes consider this question. The project-based learning activity includes both a profit and revenue...
Curated OER
Logistic Growth Model, Explicit Version
Via the concrete setting of estimating the population of the US, your algebra learners are introduced to a logistic growth model. Comparing and contrasting logistic, exponential, linear and quadratic models, to see which fits the data...
Illustrative Mathematics
Springboard Dive
Dive into this problem that illustrates a real-world application of the quadratic formula. Learners are given an equation that represents the height of a diver above the water t seconds after leaving the springboard. The task is to...
Illustrative Mathematics
Zeroes and Factorization of a General Polynomial
These four problems will guide your class through the idea behind the Fundamental Theorem of Algebra, which states that a polynomial of degree n has exactly n roots. Use the division algorithm and the definition of a zero/root of a...
Math Medics
S.o.s. Math: Sign of a Quadratic Function and Inequalities
This lesson discusses the sign of a quadratic function as it applies to inequalities.
Texas Instruments
Texas Instruments: Glencoe Algebra: Graphing Quadratic Functions in Vertex Form
Students will explore quadratic functions in vertex form.
Math Medics
S.o.s. Math: Quadratic Equations
Defines root of a quadratic equation. Portrays graphically what quadratic roots look like. Tutorial includes two basic examples where roots are discovered, and links to pertinent topics elsewhere on the site and a math forum organized by...
Richland Community College
Richland Community College: Algebra Lecture Notes
This site from Richland Community College provides lecture notes to a class on Algebra. It covers a wide array of topics including functions, quadratic equations, inequalities, and much more.
Math Medics
S.o.s. Math: Algebra
This lesson provides basic instruction on the major concepts in algebra. Content includes a focus on fractions, units of conversion, complex numbers, quadratic equations, factorization and roots of polynomials, solving equations, systems...
Texas Instruments
Texas Instruments: Mc Dougal Littell Algebra 1: Find Minimum and Maximum
Students can use the TI-84 Plus family to find the minimum or maximum and the zeros of quadratic functions.
Math Medics
S.o.s. Math: Quadratic Equations: Basic Definitions
This S.O.S. Math tutorial offers definitions and examples of quadratic equations and quadratic functions.