EngageNY
The Special Role of Zero in Factoring
Use everything you know about quadratic equations to solve polynomial equations! Learners apply the Zero Product Property to factor and solve polynomial equations. They make a direct connection to methods they have used with quadratic...
EngageNY
Relationships Between Two Numerical Variables
Working in small groups and in pairs, classmates build an understanding of what types of relationships can be used to model individual scatter plots. The nonlinear scatter plots in this lesson on relationships between two numerical...
Mathed Up!
Completing the Square
Learners review how to use the completing-the-square method to identify maximum and minimum values of a quadratic function by watching a video. They see how the vertex form relates to the extreme values of a quadratic function, and use...
Rice University
College Algebra
Is there more to college algebra than this? Even though the eBook is designed for a college algebra course, there are several topics that align to Algebra II or Pre-calculus courses. Topics begin with linear equation and inequalities,...
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
Business Ownership
Let's learn a little bit about business! Given information about a t-shirt company, young mathematicians explore the revenue, costs, profits, and future sales. They develop mathematical models for these quantities using linear,...
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...
CK-12 Foundation
Newton's Method
Use an iterative process to find an approximation of a square root. Pupils use the interactive to find an approximation to find the positive root of a quadratic function with Newton's method. With the graphs, learners position the...
CK-12 Foundation
Zero Product Principle: Mysterious Parabolas
Be a hero, not a zero! Help your classes understand how to solve quadratic equations with the zero product property using an animated simulation. Using the controls, scholars manipulate the zeros and watch as the function and its factors...
Radford University
Transformational Graphing in the Real World: Building Bridges
No suspension here, the resource is good to go. Using graphing calculators, scholars explore how transformations affect the graphs of quadratic functions. They consider how the changes relate to the context of suspension bridges.
Mathematics Assessment Project
College and Career Readiness Mathematics Test C1
Challenge high schoolers with a thorough math resource. The 20-page test incorporates questions from upper-level high school math in applied and higher order questions.
Illustrative Mathematics
Running Time
Ever wonder why that computer image takes so long to load? Well, math is involved and provides the algorithms needed to compute the measure in nanoseconds. Young mathematicians plug the image measures into the formulas and compare the...
101 Questions
Leap the Jeep
Will harm come to the child in the video? Find out by modeling the scenario mathematically! Learners represent the situation with a quadratic model before deciding on a maximum height and time the person is in the air. Too low or not...
CK-12 Foundation
Vertical Line Test: Exploration
What do vertical lines have to do with functions? Individuals slide a vertical line through four different graphs. They use that vertical line test to determine if the graphs represent functions.
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...
Balanced Assessment
Transformation II
Develop a solid understanding of the manipulation of expressions to produce equivalent expressions. Given an expression, pupils rearrange it to create a new one. Their new functions must match the structure of the model expressions.
CK-12 Foundation
Slope of a Tangent Line: Slope of the Tangent and Secant Lines
Learn to find the slope through a single point. The interactive provides a visualization of how to find the slope of a tangent line. With the aid of the visualization, pupils see the definition of the derivative in action. Class members...
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
Parabolas
Learn how to evaluate the derivatives of polynomials. Mathematicians find the derivative of a quadratic function and determine the value at a given value. Young scholars compare the slope of the secant line through two points with the...
Curated OER
Final Exam Review: College Algebra
In this final exam review worksheet,s students solve systems of equations, polynomials and factor quadratic equations. They identify the slope of a line and write linear equations. Students use Cramer's rule, graphing, substitution,...
Curated OER
Quadratic Functions - Max and Min
Students identify the maxima and minima of quadratic functions. After a teacher explanation and demonstration of quadratic functions, students solve quadratic equations and graph the solution to find the maxima and minima of each...
Curated OER
Connections Involving Linear And Quadratic Functions
In this math worksheet, pupils determine the range of the function. Then they graph the functions while finding the coordinates on the plane.
Curated OER
Linear and Quadratic Approximations
Students explore a linear, a parabolic, and a log function. For this Algebra II/Pre-calculus lesson students investigate the graph a line, a parabola, and a log function. Students examine the three graphs as they compare and contrast...
Curated OER
Solving Quadratic Equations by Graphing
In this quadratic equation worksheet, students solve quadratic equations by graphing. They identify the exact roots or state consecutive integers between which the roots lie. This one-page worksheet contains seven problems.