Mathematics Assessment Project
Solving Quadratic Equations
Scholars first complete an individual assignment using a quadratic equation to model the movement of a bus around a corner. Learners then discuss their solutions with classmates and analyze the provided sample responses.
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...
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...
Curated OER
Exploring Quadratic Equations
Eleventh graders explore quadratic equations. In this Algebra II instructional activity, 11th graders use Geometer’s Sketchpad to explore the properties of quadratics and the connections with polynomials and linear equations. The...
Rochester Institute of Technology
Roots of Quadratic Equations
A five-page worksheet packet guides young mathematicians through solving standard form quadratic equations using the quadratic formula. They can identify the radical sign, the discriminant, and see the three options for finding roots...
Mathematics Vision Project
Quadratic Functions
Inquiry-based learning and investigations form the basis of a deep understanding of quadratic functions in a very thorough unit plan. Learners develop recursive and closed methods for representing real-life situations, then apply these...
Concord Consortium
Same Solution Equations
Group equations by their solutions. Given six different equations, pupils determine which have the same solutions. Scholars explain why some are the same and some are different.
Curated OER
Discovery Research of Quadratics
Pupils investigate the properties behind the quadratic equation. In this algebra lesson, students identify quadratic equation in the real world. They graph the parabola and identify the vertex and intercepts.
Radford University
Modeling Quadratics Basketball Video Project
Will he make it? After watching a video of part of a basketball shot, groups create their own videos. Teams record a video of shooting a ball at a hoop and edit it to show only a portion of the shot. Group members determine the equation...
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...
Curated OER
Quadratic Functions
Learners explore the concept of quadratic equations. In this quadratic equations worksheet, students determine what shifts of a parent graph will look like by describing in sentences. Learners factor quadratic expressions and solve...
EngageNY
Exploring the Symmetry in Graphs of Quadratic Functions
Math is all about finding solutions and connections you didn't expect! Young mathematicians often first discover nonlinear patterns when graphing quadratic functions. The lesson plan begins with the vocabulary of a quadratic graph and...
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...
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,...
Curated OER
Quadratic Equations and Quadratic Formula Solutions Part II
Students solve quadratic equations using the quadratic formula. The teacher demonstrates solving quadratic equations and identifying the discriminant. Students model the teacher's instruction and solve sample equations on white boards....
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.
Alabama Learning Exchange
Complex Numbers Solutions
Complex doesn't have to mean harder! Learners experiment with online software to determine the quadratic equations with complex solutions. They use the quadratic formula to solve equations with both real and complex solutions.
Concord Consortium
An Algebraic Oversight
Tackle a common misconception using a performance task. Dividing by a variable to eliminate a variable may seem like a good idea, but simplifying the variable eliminates solutions as well. Learners develop algebraic and graphical support...
Concord Consortium
Quadratic Reflections
Reflect upon the graphs of quadratic functions. Given a quadratic function to graph, pupils determine whether the graph after a horizontal and vertical reflection is still a function. The final two questions ask scholars to describe a...
EngageNY
Graphing Quadratic Functions from the Standard Form
Use context to explain the importance of the key features of a graph. When context is introduced, the domain and range have meaning, which enhances understanding. Pupils use application questions to explore the key features of the graph...
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...
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...
Balanced Assessment
Two Solutions
An assessment presents a variety of equations and inequalities. Pupils must find two solutions for each equation or inequality and determine whether there are only two, another finite number, or an infinite number of solutions for the...
Concord Consortium
In a Triangle
What's in a triangle? Just 180 degrees worth of angles! Young learners use given angle relationships in a triangle to write an algebraic representation. Using a system of equations, they simplify the equation to a linear representation.