Worksheet
Curated OER

Vertex Form of Parabolas

For Students 9th - 11th
Using the method of completing the square, algebra learners rewrite quadratic equations from standard form to vertex form. They will also graph quadratics, stating the vertex and axis of symmetry.  Solutions are provided.
Activity
Illustrative Mathematics

Zeroes and factorization of a quadratic polynomial I

For Teachers 10th - 12th Standards
This activity uses the division algorithm and the definition of a zero/root of a function to guide your class to see the relationship between zeros and factors of a general quadratic, which can later be generalized to the Remainder...
Lesson Plan
Curated OER

Quadratic Equations

For Teachers 8th - 9th
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.
Performance
Radford University

Modeling Quadratics Basketball Video Project

For Teachers 9th - 12th Standards
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...
Lesson Plan
Mathalicious

Out of Left Field

For Teachers 9th - 12th Standards
A baseball trajectory and a parabola seem to make the best pair in real-world quadratic applications. Here is a current baseball resource with questions, discussions, and explorations regarding a quadratic function and home run...
Worksheet
Mt. San Antonio Collage

Review: Solving Equations

For Students 9th - 12th Standards
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...
Interactive
CK-12 Foundation

Graphs of Quadratic Functions in Intercept Form: Architectural Bridge Challenge

For Students 9th - 12th Standards
There are architectural parabolas all around us! A creative lesson analyzes the architecture of a parabolic bridge. Learners must manipulate the bridge to satisfy given criteria and then answer questions about the dimensions of the...
Interactive
CK-12 Foundation

Factorization of Quadratic Expressions: Algebra Tiles

For Students 8th - 10th Standards
What does it mean to factor the difference of two squares? The interactive presents an area model of the difference of two squares. Pupils rearrange the model to create a rectangular area. The learners determine the length and width...
Worksheet
Math Mammoth

Applications of Quadratic Equations

For Students 6th - 8th
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.
Lesson Plan
Curated OER

Vertex and Factored Form of Quadratic Functions

For Teachers 9th - 12th Standards
Students graph quadratic equations. For this algebra lesson, students solve quadratic equations by factoring. They identify the end behavior of the graph.
Lesson Plan
Curated OER

Exploring Quadratic Graphs

For Teachers 7th - 10th
Young scholars solve quadratic equations using graphs. In this algebra lesson plan, students factor quadratic equations and graph their answer. They discuss the shape of their graph based on the function.
Worksheet
Curated OER

Factoring Quadratic Equations

For Students 5th - 6th
In this quadratic equations worksheet, students solve a set of 10 equations by factoring. A reference web site is given for additional activities, answers are included on page 2.
Lesson Plan
Virginia Department of Education

Factoring for Zeros

For Teachers 8th - 11th
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.
Worksheet
Curated OER

Radicals and Exponents

For Students 9th - 12th
For this radicals and exponents worksheet, learners solve 25 short answer problems. Students simplify radical and exponential expressions. Learners factor quadratics and use the quadratic equation to solve quadratic equations.
Worksheet
Curated OER

Factorize the Quadratic Equation

For Students 8th - 9th
In this factoring the quadratic equation worksheet, students show their work as they factorize 5 problems. They use the workspace given on the page to show their work.
Worksheet
CPM

How to Recognize the Type of Graph from a Table

For Teachers 8th - 10th Standards
Linear, quadratic, and exponential functions are represented only by their table of values in this simple, well-written instructional activity. Learners decide the type of graph represented based on the differences in the function...
Lesson Plan
Curated OER

Application of Completing the Square

For Teachers 9th - 12th Standards
A TI technology activity that helps learners to recognize and use the characteristic of a perfect square quadratic to complete the square. Additionally, they apply their knowledge to solve real-world problems.
Lesson Plan
Curated OER

Prairie Populations

For Teachers 11th
Eleventh graders practice the Quadrat Survey Technique to analyze the biodiversity of a local plant community. They compare its biodiversity with the documented changes in biodiversity of the tallgrass prairie over time.
Lesson Plan
Curated OER

Peter's Third String

For Teachers 6th - 9th
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....
Lesson Plan
Curated OER

Sandia Aerial Tram

For Teachers 9th - 12th Standards
Your learners analyze a table of real-life data in order to write an equation that best models the information. Exponential, quadratic, and linear rates of changes are all possibilities in this task.
Lesson Plan
Curated OER

What Functions do Two Graph Points Determine?

For Teachers 9th - 12th Standards
Your algebra learners write linear, exponential, and quadratic equations containing the same two graph points in this collaborative task.
Lesson Plan
EngageNY

Solutions to Polynomial Equations

For Teachers 11th - 12th Standards
Take a step back to Algebra II. The first lesson in a series of 23 asks scholars to remember working with quadratic equations with complex solutions. Pupils apply polynomial identities to complex numbers and work examples that show how...
Handout
Cabrillo College

Elementary Algebra

For Students 8th - 11th Standards
Hello Algebra! If you're in need of a resource with a books worth of examples and practice problems, this is it. Some topics include linear equations, polynomials and exponents, rational expressions, quadratic equations, and a...
Lesson Plan
Curated OER

Stretching the Quads

For Teachers 9th - 12th Standards
Scholars investigate transforming parabolas.  In this transforming parabolas lesson, they take the parent graph y=x^2 and transform it by shifting left, right, up, and down and shrinking and stretching. The class finds maximums,...

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