Curated OER
Exploring Quadratic Equations
By stretching and translating the parabola given and determining the effects on the equation, students explore finding the vertex and zeros of a parabola and relate them to the equation. Students also view the intercept form to determine...
Virginia Department of Education
Nonlinear Systems of Equations
Explore nonlinear systems through graphs and algebra. High schoolers begin by examining the different types of quadratic functions and their possible intersections. They then use algebraic methods to solve systems containing various...
Curated OER
Bouncing Ball
High schoolers collect height versus time data of a bouncing ball using the CBR 2™ data collection device. Using a quadratic equation they graph scatter plots, graph and interpret a quadratic function, apply the vertex form of a...
Curated OER
Fibonacci II
Study Fibonacci sequences and see a related set of numbers. Learn and review Lucas numbers and use of quadratic equations to find a general term of a sequence of numbers that is generated by a recurrence relation similar to Fibonacci's.
Curated OER
Peter's Third String
Explore the solution to a word problem involving area and perimeter. Learners read and discuss how to approach the problem. In small groups, they determine the maximum area of a rectangle with a given perimeter using a piece of string....
EngageNY
Interpreting Quadratic Functions from Graphs and Tables
Seeing functions in nature is a beautiful part of mathematics by analyzing the motion of a dolphin over time. Then take a look at the value of a stock and maximize the profit of a new toy. Explore the application of quadratics by...
Chicago Teachers Union Quest Center
Factored Form of a Quadratic Function
Build upon linear functions to learn about quadratics. The lesson introduces the concept of zeros for quadratic functions and makes the connection to the linear factors of the function. It presents quadratics in both graphical and...
Curated OER
Discovery Research of Quadratics
Learners 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.
Curated OER
What Is It?
You have to love lessons that foster problem solving strategies. This one has upper graders devise and employ their own strategy to solve given problems after they have used classics like guess/check, substitution, make a table, and look...
Curated OER
Graphs and Functions
Use this series of activities to introduce learners to graphing functions. They graph both linear and quadratic equations by hand and with a Graph Sketcher Tool. Several imbedded links and handouts are included in the lesson.
Curated OER
Using Factoring to Solve Equations
Eleventh graders use factoring to solve 44 different problems involving area, intercepts, quadratic equations, and functions.
Curated OER
Completing the Square
Solve equations by completing the square. The pupils factor quadratic equations and graph the parabola. They also identify the different terms in the equation and look for patterns.
Curated OER
Thinking Outside the Box
Now this lesson sounds fun! Students throw a ball, film it as it soars through the air, and use a spreadsheet to collect data. A scatterplot is created to produce a quadratic regression equation, an equation in vertex form, and an...
Curated OER
Quadratic Functions
In this graphing quadratic equations worksheet, learners find the vertex and graph the parabola for 24 quadratic equations. The final four are factored into binomials to increase accuracy of the x intercepts.
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.
West Contra Costa Unified School District
Factoring Quadratic Expressions
Factor in different strategies in a lesson for factoring quadratics. Young mathematicians first create tables and area models to factor quadratic trinomials into two binomials by guess and check. Learners then investigate how they can...
Curated OER
Quadratic Equations
In this algebra worksheet, students solve 11 quadratic equations for the given variable. Four problems require students to multiply two binomials. The final 5 problems students are to solve by completing the square.
Curated OER
Quadratic Equations and Parabolas
Students graph and solve quadratic equations. For this functions lesson, students analyze a quadratic equation using three points on a curve to define the graph of a quadratic function. They find the vertex and intercepts of the graph.
Curated OER
Quadratic Functions and Stopping Distance
Students solve quadratic equations. For this algebra lesson, students factor and graph quadratic functions. they use the properties of quadratics to calculate the distance.
Curated OER
Zeros of a Quadratic Function
Factor quadratic equations by teaching your students how to identify the zeros of the quadratic function. They use the TI to see where the graph will intercept the coordinate plane.
EngageNY
An Appearance of Complex Numbers 1
Complex solutions are not always simple to find. In the fourth lesson of the unit, the class extends their understanding of complex numbers in order to solve and check the solutions to a rational equation presented in the first lesson....
West Contra Costa Unified School District
Exploring Quadratics and Graphs
Young mathematicians first graph a series of quadratic equations, and then investigate how various parts of the equation change the graph of the function in a predictable way.
Curated OER
Explore Learning Exponential Functions
High schoolers graph exponential equations and solve application problems using exponential functions. They re-enact a story about a peasant worker whose payment for services is rice grains doubled on a checker board. They place M &...
EngageNY
Linear Systems in Three Variables
Put all that algebra learning to use! Using algebraic strategies, learners solve three-variable systems. They then use the three-variable systems to write a quadratic equation given three points on the parabola.
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