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Recognizing Equations of Circles
What does completing the square have to do with circles? Math pupils use completing the square and other algebraic techniques to rewrite equations of circles in center-radius form. They then analyze equations of the form x^2 + y^2 + Ax +...
El Paso Community College
Quadratic Equations
This resource has everything you need to know about solving quadratic equations. Factoring, completing the square, the quadratic formula, and using the discriminant are all there with with worked out examples and a 25 problem...
Virginia Department of Education
Quadratic Equations
Review the multiple methods of solving quadratic equations through an analysis of the discriminant. Scholars use the discriminant to determine the best solution method and then solve various equations. As a challenge, learners build...
Curated OER
Quadratic Equations
In this algebra worksheet uses factoring to solve and graph quadratic equations. The three page worksheet contains explanation of topic, worked examples and five practice problems. Answers are not provided.
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....
Curated OER
Solving Quadratic Equations
In this quadratic equations activity, 9th graders solve and complete 7 different problems that include factoring quadratics. First, they solve for the values of x that make the equation true. Then, students substitute their values into...
Curated OER
Factoring Trinomials
In this online math worksheet, students factor a series of trinomials given specific equations. This excellent resource allows the students to check their answers and to get "hints" should they run into difficulties.
Illustrative Mathematics
Zeroes and factorization of a quadratic polynomial I
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...
West Contra Costa Unified School District
Investigating the Discriminant
When is finding the discriminant enough? Using the quadratic formula helps find solutions to quadratic equations, but there are times when just using the discriminant is appropriate. Use this algebra II lesson to help classes see...
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...
Math-U-See
Extra Practice
From exponents to slope-intercept form, an array of extra practice exercises will reinforce necessary skills for your middle and high schoolers. The worksheets include practice with order of operations, graphing equations, scientific...
Curated OER
Factoring Binomials - Difference of Squares
For this factoring binomials worksheet, students examine problems containing the difference of squares. They factor binomial equations. This one-page worksheet contains 15 problems. Answers are provided.
Curated OER
Factoring Completely
In this factoring instructional activity, students factor polynomial expressions to simplify them. Upon placing their answer in the appropriate box, students may receive immediate feedback. A link for step-by-step solutions is provided.
Curated OER
Theorems About Roots and Polynomial Equations
In this algebra worksheet, students solve polynomial equations using factoring. They identify the roots of the equations. There are 3 questions with an answer key.
Curated OER
Twenty-Five Factoring to Solve Quadratic Equations in Preparation for the Math Regents Exam
In this factoring to solve quadratic equations worksheet, students solve twenty-five multiple choice and free response questions in preparation for the math regents exam. The solutions are provided.
Curated OER
Quadratic Functions
In this algebra activity, students factor quadratic equations and graph their resulting parabola. They relate quadratics to real life scenario. There are 20 questions with an answer key.
Noyce Foundation
Miles of Tiles
Create number sentences and equations to solve geometric problems. Each activity in the series of five asks young mathematicians to consider different-sized tiles to build structures according to specific criteria. The first activities,...
Illustrative Mathematics
The Missing Coefficient
This activity highlights the use of the remainder theorem to solve for the unknown coefficient of a specified polynomial when given one of its factors. Use this single problem as a warm-up exercise, a quick check-in at the end of a...
Curated OER
Factoring Quadratic Expressions
In this Algebra II worksheet, 11th graders factor quadratic expressions. The two page worksheet contains explanation of topic, worked examples, and three practice problems. Answers are not included.
Curated OER
FOIL Method Worksheet
In this FOIL method worksheet, students with the "FOIL" method to solve equations with one to two variables. They may enter their answer on the internet worksheet, and view step-by-step hints to solve the problems. Twenty binomial...
Curated OER
Unit 2 Quantities Review
In this quantities in chemistry worksheet, students solve 13 review problems about percent composition, significant digits, the mole, simple and molecular formulas, balancing equations, stoichiometry, limiting reagents and percent yields.
Curated OER
The Quadratic Formula
In this quadratic formula worksheet, 9th graders identify and solve 20 different problems by applying the quadratic formula to each one. First, they read the lesson and examples to identify the quadratic formula. Then, students use the...
Curated OER
Fundamental Theorem of Algebra
In this activity, learners identify the Fundamental Theorem of Algebra. They solve polynomial functions and simplify expressions and equations.