EngageNY
Rational Functions
Make a connection between rational expressions and rational functions. Pupils review simplifying and performing operations on rational expressions and recall what it means for two rational expressions to be equivalent based on their...
PHET
Area Model Algebra
Expand the pupils knowledge of using area models to algebra. The interactive allows learners to use the same procedure of getting partial products when multiplying multi-digit numbers to multiplying polynomials. Scholars see how the...
Curated OER
Quadratic Equations and Functions
This comprehensive lesson plan reviews solving and graphing quadratic functions and functions of higher degree. Using the vertex form of a quadratic functions, one finds the vertex, minimum or maximum, and axis of symmetry. A few word...
Curated OER
Algebra I: Multiplying Polynomials and Factoring
Young scholars use concrete models (algebra blocks) to demonstrate their processes for solving quadratic equations. They apply the commutative, associative, and distributive properties to simplify algebraic expressions and to solve...
Curated OER
Factoring Polynomials
In this factoring polynomials instructional activity, 9th graders solve and complete 20 different problems. First, they identify the GCF of each polynomial. Then, students divide the GCF out of every term of the polynomial. Finally, they...
Curated OER
Worksheet #11: Dividing Polynomials
In this multiple choice polynomial worksheet, students complete 20 problems involving division of polynomials and reduce them to their lowest terms.
Curated OER
Three Multiple Choice Distribute and Factor Problems
In this product and factoring worksheet, students find a product in one problem and factor in two problems. The solutions are provided.
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
Simplifying Rational Expressions
This is a 10-problem worksheet on simplifying rational expressions. Most of the problems require factoring. It is assumed that the domain of variables do not include values for which any denominator is zero. Answers are included.
Curated OER
Addition and Subtraction of Rational Expressions
In this adding and subtracting rational numbers worksheet, learners add and subtract 20 sets of fractions with polynomial denominators. Students compute common denominators.
Curated OER
Using Electronic Manipulatives in Multiplication
Factor polynomials using electronic manipulatives. Your class will create a spreadsheet in excel and use it to multiply and perform basic operations and solve problems correctly. They create a visual to go along with each multiplication...
EngageNY
Overcoming a Third Obstacle to Factoring— What If There Are No Real Number Solutions?
Time for pupils to use their imagination! Learners examine the relationship between a system with no real solution and its graph. They then verify their discoveries with algebra.
Curated OER
Rational Root Theorem
In this polynomial learning exercise, students use factoring to simplify polynomials and identify its rational roots. Explanations and examples are provided. This two-page learning exercise contains ten problems.
Curated OER
Functions and Roots
In this function worksheet, students factor polynomials, or use the FOIL method, to simplify polynomials and determine the roots. This three-page worksheet contains ten problems. Explanations and examples are provided.
Curated OER
Worksheet Chapter 6: College Prep Algebra
In this algebra worksheet, students perform a variety of operations. They factor polynomials, solve algebraic equations, identify the GCF, and solve real life word problems. Twelve of these 100 problems are real life word problems.
Curated OER
Expressions and Operations
In this expressions and operations worksheet, 9th graders solve and complete 10 different multiple choice problems that include various types of expressions. First, they determine the complete factorization of a given trinomial. Then,...
Curated OER
Expressions and Operations
In this expressions and operations learning exercise, 9th graders solve and complete 5 different multiple choice problems. First, they determine the complete factorization of various trinomials. Then, students find the equivalent...
Curated OER
Factorize
For this Algebra I/Algebra II worksheet, students factor polynomials by determining the greatest common factor. The one page worksheet contains seven problems. Answers are provided.
Curated OER
Solving Quadratic Equations
In this ways to solve quadratic equations worksheet, learners solve 19 equations using five different methods, then solve four more using the method of their choice.
Curated OER
Factoring Polynomials having common factors
Ninth graders demonstrate that factoring polynomials having common factors is the inverse process of multiplying a polynomial by a monomial. students find the greatest common factor.
Curated OER
Factoring Trinomials
Students factor trinomials using specific steps. In this algebra lesson, students factor polynomials following the steps on a smart lesson. They review important vocabulary to help with solving the problems.
Curated OER
Chapter 7 - Objective 3.1 Factor
In this factoring learning exercise, students combine like terms and factor polynomial equations by factoring. This one-page learning exercise contains five problems.
Curated OER
Math 155 Worksheet 1
In this college level Calculus activity, students review factoring, rationalization of a denominator, and functional notation to prepare for differentiation. The two page activity contains six problems. Answers are not included.
Curated OER
Unit II - Version 5.0 - Worksheet 1 - Time & Distance
In this time and distance worksheet, students read story problems and determine the distance between points. They factor polynomials and solve exponential equations. Students simplify equations through factoring. This seven-page...
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