Curated OER
Reducing Fractions to Lowest Terms
In this Algebra I/Algebra II worksheet, learners reduce algebraic fractions to lowest terms. The one page worksheet contains a combination of eleven multiple choice and free response problems. Answers are provided.
EngageNY
Comparing Methods—Long Division, Again?
Remember long division from fifth grade? Use the same algorithm to divide polynomials. Learners develop a strategy for dividing polynomials using what they remember from dividing whole numbers.
EngageNY
Dividing by (x – a) and (x + a)
Patterns in math emerge from seemingly random places. Learners explore the patterns for factoring the sum and differences of perfect roots. Analyzing these patterns helps young mathematicians develop the polynomial identities.
EngageNY
The Remainder Theorem
Time to put it all together! Building on the concepts learned in the previous lessons in this series, learners apply the Remainder Theorem to finding zeros of a polynomial function. They graph from a function and write a function from...
Curated OER
Exponential Growth versus Linear Growth II
Your algebra learners discover that exponential functions, with a base larger than one, outgrow linear functions when the inputs increase sufficiently. Their analysis includes using a graphing calculator to produce tables.
University of North Texas
Math Exam 1 Review
Perfect as a review guide, this instructional activity provides a range of questions focusing on functions. Topics include composing functions, transformations, domains, and polynomials. Also included are corresponding worksheets...
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
Unit II - Version 5.0 - Worksheet 1 - Time & Distance
In this time and distance learning exercise, students read story problems and determine the distance between points. They factor polynomials and solve exponential equations. Students simplify equations through factoring. This...
Illustrative Mathematics
Zeroes and Factorization of a General Polynomial
These four problems will guide your class through the idea behind the Fundamental Theorem of Algebra, which states that a polynomial of degree n has exactly n roots. Use the division algorithm and the definition of a zero/root of a...
Curated OER
Summer 1999, MA 123: Cumulative Review
In this math worksheet, learners work to complete the review for a final part of an Algebra II class. The sheet has review problems.
Curated OER
Greatest Common Factor and Factoring by Grouping
In this Algebra II/college level worksheet, students factor polynomials by pulling out the GCF and by grouping. The two page worksheet contains seventy–two problems. Answers are provided.
Curated OER
The Quest for Roots of Higher Order Equations
Young mathematicians explore the concept of solutions to higher order equations as they find roots of polynomials of degree three or higher. They also use the zero function on the Ti-83 to locate zeros of polynomials on a graph.
Curated OER
Polynomial Functions
In this Algebra II worksheet, 11th graders use a graphing calculator to determine the regression equation of the given data, graph polynomial functions, factor polynomials, and determine the quotient and remainder in polynomial division....
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.
EngageNY
Radicals and Conjugates
Make the irrational rational again! Continuing the theme from previous lessons in the series, the lesson relates the polynomial identity difference of squares to conjugates. Learners develop the idea of a conjugate through analysis and...
EngageNY
End-of-Module Assessment Task - Algebra 1 (Module 4)
Critical thinking is an important aspect of mathematics — it's time to put your brain to work! Use this assessment to challenge pupils and test their skills. Concepts assessed include function notation, factoring, completing the square,...
Curated OER
Multiplying Polynomials using the Distributive property.
Students factor polynomial functions. In this algebra activity, students solve problems through factoring and distribution of the negative sign correctly.
Curated OER
SOL Review
In this SOL worksheet, students solve inequalities, identify equivalent fractions and graph polynomial functions. They find the geometric means and compute average rates. This eight-page worksheet contains 20 multiple-choice problems.
Curated OER
Factorize
In 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
Algebra Exam
In this algebra worksheet, 11th graders graph, parabolas, absolute value and cubic functions. They factor polynomials and simplify roots. There are 75 questions.
EngageNY
Overcoming a Second Obstacle in Factoring—What If There Is a Remainder?
Looking for an alternative approach to long division? Show your classes how to use factoring in place of long division. Increase their fluency with factoring at the same time!
West Contra Costa Unified School District
Lowest Common Multiple through the Grades
The LCM will be your new BFF. Learners review least common multiple and least common denominator applications, mostly on fractions, from middle school. Scholars then see how the LCM can be applied to various types of problems from...
Curated OER
"A Slice of the Cone"
Here is a set of lessons that explore conics in a number of different ways. Starting with modeling how a conic is produced by the way a plane cuts the cone, to solving complex word problems, algebra learners progress through a series of...
Curated OER
Factoring Trinomials
In this Algebra I/Algebra II activity, students factor trinomials with a leading coefficient on one. The one page activity contains four multiple choice questions. Answers are included.