Curated OER
Graphing Quadratic Functions
Students graph quadratic functions. In this algebra lesson, students identify the vertex and intercepts of a quadratic equations and graph the parabola. They find the axis of symmetry and make a table to find the values of the parabola.
Curated OER
Lesson 2: The Quadratic Equation
Students graph quadratic equations. They use interactive graphs, on CD-ROM, to answer specific equations. Students identify the vertex of a parabola and the axis of symmetry.
Virginia Department of Education
Factoring for Zeros
Relate factors to zeros and x-intercepts. Scholars first graph quadratics in both standard and factored forms to see that they are the same. They go on to use the graphs to see the relationship between factors and x-intercepts.
EngageNY
Systems of Equations
What do you get when you cross a circle and a line? One, two, or maybe no solutions! Teach learners to find solutions of quadratic and linear systems. Connect the visual representation of the graph to the abstract algebraic methods.
Curated OER
Regents High School Examination: Integrated Algebra
For this integrated algebra worksheet, students answer 39 questions in preparation for the Regents High School Examination. Students solve problems about various topics in algebra and algebra II including quadratics, systems of...
Curated OER
Lesson Plan 1: Up, Down, Right, Left - Function Families
Students work in small groups to draw the trajectory of several scenarios. They label parts of the resulting parabola (vertex, axis of symmetry). Students complete four stations to explore quadratic functions.
Texas Instruments
Let's Play Ball with Families of Graphs
Learners explore quadratic equations in this Algebra II lesson plan. They investigate families of quadratic functions by graphing the parent function and family members on the same graph. Additionally, they write the equation of the...
Curated OER
Graphing Calculator Investigation - Second Degree Polynomial Functions
Students solve quadratic functions. For this solving quadratic functions lesson, students determine the height of an object at a given time. Students determine the time at which an object hits the ground. Students answer questions...
Curated OER
Discovery Research of Quadratics
Students 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.
EngageNY
Advanced Factoring Strategies for Quadratic Expressions (part 2)
What do you do with a difficult-to-factor quadratic expression? This instructional activity provides the answer. Pupils learn a grouping strategy to help factor trinomials. When guess and check seems too tedious, this method is the...
Curated OER
Algebra—Quadratic Equations and Functions
Students use given information on wind speed with the quadratic formula to determine the pressure of the wind on a building. In this quadratic equations lesson, students compute the pressure of the wind from two data tables. They graph...
Curated OER
Transformations of a Quadratic Function
Students graph quadratic functions. In this algebra lesson, students perform transformation on the TI calculator as they create a visual. They identify the vertex and intercepts of the parabola.
Curated OER
Another Way of Factoring
Focusing on this algebra lesson, learners relate quadratic equations in factored form to their solutions and their graph from a number of different aspects. In some problems, one starts with the original equation and finds the solutions....
Curated OER
A Boxer named Bobo
Bobo the Boxer needs a pen and algebra learners need to find the maximum area that can be created from a fixed amount of fence. A graphing calculator is used to assist in their exploration.
Curated OER
Linear and Quadratic Functions
In this algebra worksheet, 11th graders solve quadratic functions using the quadratic formula. They take the square roots of both side of each equation then graph both the linear and quadratic functions. There are a total of 84 problems...
Curated OER
Rainbows, Bridges & Weather, Oh My!
Explore how real-world applications can be parabolic in nature and how to find quadratic functions that best fit data. A number of different examples of modeling parabolas are explored including a student scavenger hunt, the exploration...
EngageNY
Graphing Cubic, Square Root, and Cube Root Functions
Is there a relationship between powers and roots? Here is a lesson that asks individuals to examine the graphical relationship. Pupils create a table of values and then graph a square root and quadratic equation. They repeat the process...
West Contra Costa Unified School District
Introduction to Inverse Functions
Ready to share the beauty of the inverse function with your classes? This algebra II instructional activity guides the discovery of an inverse function through a numerical, graphical, and an algebraic approach. Connections are made...
Virginia Department of Education
Functions 1
Scholars learn what it means for a relation to be a function and see various representations of functions. After learning the definition, they participate in a card sorting activity classifying relations as functions or not.
Curated OER
Up, Down, Right, Left - Function Families
Students explore quadratic functions. In this function family worksheet, students examine the quadratic function and the family of functions. They identify the affects of the shape of the parabola and its position on the coordinate...
EngageNY
Modeling a Context from Data (part 2)
Forgive me, I regress. Building upon previous modeling activities, the class examines models using the regression function on a graphing calculator. They use the modeling process to interpret the context and to make predictions based...
EngageNY
Factoring Extended to the Complex Realm
A solution will work one way or another: find solutions, or use solutions to find the function. Learners use polynomial identities to factor polynomials with complex solutions. They then use solutions and the Zero Product Property to...
Ohio Department of Education
The Solution is Complex
Consider complex numbers, roots, and quadratic equations. Use the discriminate as a way to determine the nature of a quadratic's roots. Then discuss the similarities and differences between quadratics with two, one, or no real roots....
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.