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EngageNY
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 +...
Curated OER
Addition and Subtraction of Rational Expressions
In this adding and subtracting rational numbers worksheet, young scholars add and subtract 20 sets of fractions with polynomial denominators. Students compute common denominators.
Rice University
Elementary Algebra
Find all the Algebra 1 content in one location. A helpful eBook contains the content typically found in an Algebra 1 course. Concepts range from solving and graphing linear equations to solving and graphing quadratic equations....
Chicago Teachers Union Quest Center
Factored Form of a Quadratic Function
Build upon linear functions to learn about quadratics. The instructional activity introduces the concept of zeros for quadratic functions and makes the connection to the linear factors of the function. It presents quadratics in both...
Mathematics Assessment Project
Sidewalk Stones
One block, two blocks, white blocks, gray blocks. In the high school assessment task, learners investigate patterns of sidewalk stones to develop a quadratic expression for each colored block. Young mathematicians then use the expression...
Curated OER
Polynomial Function Exam 4
In this polynomial worksheet, students solve 12 questions. The first five questions deal with the roots of the polynomials. Students state the inverse for one problem and the reciprocal for one problem. They make three graphs, and...
Curated OER
Complete the Square
In this quadratic equations activity, high schoolers complete the square, factor a trinomial, and solve using square roots. There are eight questions with a provided workspace.
Curated OER
Simplifying Rational Expressions
In this rational expressions worksheet, 9th graders identify and solve 20 different problems that include simplifying various types of rational expressions. First, they define and describe a rational expression and how to find its...
Curated OER
Multiplying Polynomials - FOIL
Pupils participate in an activity to demonstrate the distributive property. They take notes as they observe different methods of FOIL. Afterward, students work on their own, and in groups to determine which method to use and complete...
Curated OER
Worksheet Chapter 5 College Prep Algebra
In this algebra worksheet, students evaluate algebraic expressions, simplify exponents, write numbers in scientific notation, perform division of equations, and find the area of given problems. This worksheet contains 75 problems and an...
Curated OER
Sums and Difference of Cubes
Learners factor polynomials using the sum and difference of cubes. They also learn connections between the graph and expression.
Curated OER
Calculate the Slope of a Line Using Two Points
Find that slope! This video does an excellent job of demonstrating how to use the slope formula to find the slope of a line using two points. The instructor first reviews the definition of slope of a line, then works three problems using...
Virginia Department of Education
Rational Functions: Intercepts, Asymptotes, and Discontinuity
Discover different patterns by making connections between a rational function and its graph. An engaging lesson asks scholars to explore the behavior of different rational functions. Groups discover a connection between the function...
Curated OER
Translate Word Phrases and Sentences into Equations
Use this video to show your learners an example of how to translate word phrases into an equation to solve a real-world problem. The presenter begins with a review of how to use cross products to solve a proportion, including how to do...
Curated OER
A Polynomial Quilt
Tenth graders create polynomial quilts. In this polynomials activity, 10th graders use concrete models, such as construction paper, to create various shapes described. Students use the FOIL method to multiply terms and to get a square...
Oswego City School District
Regents Exam Prep Center: Factoring
From pulling out the common factors of a polynomial to giving hints on how to factor a trinomial that does not have a leading coefficient of 1, a comprehensive tutorial for factoring polynomials is given as well as practice, interactive...
Wyzant
Wyzant: Factoring a Trinomial
The tutorial explains how to factor trinomials. The resource includes a lesson with examples, practice problems, and an expression-factoring calculator.
University of Saskatchewan (Canada)
University of Saskatchewan: Factoring Polynomials
This site from the University of Saskatchewan provides an explanation of factoring by grouping, greatest common factor, perfect squares, and difference of squares. Higher degree polynomials factored as well. Some examples provided along...
Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: Factoring Quadratic Trinomials
Thirty-nine problems present a variety of problems working with factoring quadratic trinomials. They are given with each step to the solution cleverly revealed one at a time. You can work each step of the problem then click the "View...
Oswego City School District
Regents Exam Prep Center: Review Factoring Polynomials
A wealth of material to supplement classroom instruction on factoring of polynomials. Lessons offer methods and guidelines for factoring as well as examples; practice exercises allow students to begin testing their factoring skills; and...
Integrated Publishing
Integrated Publishing: Trinomial Squares
Discussion on trinomial squares. Includes examples as well as practice problems.
Texas A&M University
Wtamu Virtual Math Lab: College Algebra: Factoring Polynomials
This page includes a tutorial which teaches you how to find the Greatest Common Factor (GCF) of a polynomial, factor out the GCF of a polynomial, factor a polynomial with four terms by grouping, factor trinomials, and factor a difference...
Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: Factoring Special Products
Thirty-six problems present a variety of problems working with factoring polynomials. They are given with each step to the solution cleverly revealed one at a time. You can work each step of the problem then click the "View Solution"...
Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: Factoring Polynomials
A large bank of problems for practice in factoring polynomials.