EngageNY
Deriving the Quadratic Formula
Where did that formula come from? Lead pupils on a journey through completing the square to discover the creation of the quadratic formula. Individuals use the quadratic formula to solve quadratic equations and compare the method to...
EngageNY
Transformations of the Quadratic Parent Function
Efficiently graph a quadratic function using transformations! Pupils graph quadratic equations by completing the square to determine the transformations. They locate the vertex and determine more points from a stretch or shrink and...
CK-12 Foundation
Comparing Methods for Solving Quadratics: Comparing Methods to Solve a Quadratic
Determine the quickest process for solving quadratics. Pupils compare the number of steps in the process of solving quadratics using three different methods. Scholars determine which situations lend themselves to the different solving...
Illustrative Mathematics
Identifying Quadratic Functions
Put your high schoolers to the test and see how well they know their quadratic functions. With excellent thought-provoking questions, learners use what they know about creating quadratic equations based off different pieces of...
Mt. San Antonio Collage
Review: Solving Equations
While there are many types of equations to solve, the main focus here is on quadratics. Starting with a quick review of the different methods, learners are guided through the solving process and are challenged to solve higher level of...
Math Mammoth
Solving Quadratic Equations by Finding Square Roots
In this quadratic equation worksheet, learners solve equations by identifying the square roots. They identify all possible solutions. Twenty problems are provided on this one-page worksheet.
Inside Mathematics
Quadratic (2009)
Functions require an input in order to get an output, which explains why the answer always has at least two parts. After only three multi-part questions, the teacher can analyze pupils' strengths and weaknesses when it comes to quadratic...
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.
Flipped Math
Quadratics in Standard Form
Get ready to set the standard! Pupils watch a video on how to graph a parabola from a quadratic in standard form without converting the form. Scholars learn how to find the axis of symmetry from the equation and from there the vertex....
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...
Flipped Math
Unit 10 Review: Quadratics
Everything one wanted to know about parabolas in one place. Pupils work 27 problems as a review of the unit on quadratics. Problems range from determining key features of the function and using that information to graph the parabola, to...
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...
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.
Kuta Software
Using the Quadratic Formula
Your learners will get plenty of practice solving quadratic equations in a learning exercise using the quadratic formula. An extension to this activity would nicely connect MP5 concepts. Have learners use a graphing program to graph the...
Mathed Up!
Drawing Quadratic Graphs
Curve through the points. The resource, created as a review for the General Certificate of Secondary Education Math test, gives scholars the opportunity to refresh their quadratic graphing skills. Pupils fill out function tables to find...
Mathed Up!
Solving Quadratics by Factorising
Young mathematicians view a video on solving quadratic equations by factoring. They use this skill to complete a worksheet of practice problems — a great way to gauge understanding!
Math Mammoth
Applications of Quadratic Equations
In this math activity, students find the areas of a triangle, rectangular box, and the irregular shape. They take a portion of the area away from the source block.
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....
Inside Mathematics
Quadratic (2006)
Most problems can be solved using more than one method. A worksheet includes just nine questions but many more ways to solve each. Scholars must graph, solve, and justify quadratic problems.
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.
EngageNY
Graphing Systems of Equations
Expand on learners' understanding of quadratic-linear systems. Building on the graphic understanding developed in the previous lesson, pupils learn algebraic methods of solving the systems.
Illustrative Mathematics
Graphs of Quadratic Functions
Instead of the typical quadratic questioning, explore the function and look at the three different ways a parabola can be written. The main task is when given several clues, young mathematicians must write an equation that matches the...
EngageNY
The Zero Product Property
Zero in on your pupils' understanding of solving quadratic equations. Spend time developing the purpose of the zero product property so that young mathematicians understand why the equations should be set equal to zero and how that...
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 begins with the vocabulary of a quadratic graph and uses...
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