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The Structure of Rational Expressions
Find out when rational expressions are closed. Pupils review adding, subtracting, multiplying, and dividing with rational numbers to make the connections to operations with rational expressions. Using specific examples, learners notice...
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
Adding and Subtracting Algebraic Expressions (Combining Like Terms)
Everyone loves math when it includes food! This lesson tries to take the notion of combining like terms in algebra and comparing it to sorting apples and oranges. It takes a step-by-step approach to helping young scholars understand this...
Curated OER
Algebraic Fractions
In this algebraic fractions worksheet, 9th graders solve 10 different problems that include various polynomial denominators. First, they factor the numerator and factor the denominator. Then, students divide out the common binomial...
PBL Pathways
Cell Phones
Calling all subscribers! Model revenue based on individual cell phone subscribers. The project-based learning activity presents a challenge to scholars from a cell phone company. Individuals model data provided to them from the company...
Curated OER
NUMB3RS - Season 2 - "Convergence" - Air Hockey
Learn how to use a matrix to organize data to solve a problem. This activity uses wins and losses to rank players for an air hockey tournament they wish to have. After practicing some basic matrix operations the class could do the...
Virginia Department of Education
Rational Expressions
Demonstrate the progression of operations with rational expressions through a multi-day instructional activity, equipped with worksheets for each day. High schoolers develop the concepts needed to perform operations with rational...
Mathematics Vision Project
Module 8: Modeling With Functions
Sometimes there just isn't a parent function that fits the situation. Help scholars learn to combine function types through operations and compositions. Learners first explore a new concept with an introductory activity and then follow...
Curated OER
Using Polynomials To Find Perimeter
Fifth graders engage in the solving of a real life application problem using the concept of calculating perimeter. They apply the operations of calculating with the polynomials for finding the perimeter of triangles,quadrilaterals, and...
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
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...
Curated OER
Factoring Test
In this algebra worksheet, learners simplify monomials, perform basic operations on two polynomials, and factor binomials and trinomials. There are 20 questions and a bonus.
Curated OER
Rational Inequalities
In this rational inequalities worksheet, 9th graders solve 10 different equations that contain rational inequalities in each. First, they find the zeros from the numerator and the undefined points from the denominator. Then, students use...
Virginia Department of Education
Exponents
Expand your knowledge of exponents with an activity that promotes critical thinking and comparison skills. Middle and high schoolers compare numbers written in expanded and exponential form and explain their strategies for solving...
Rice University
Algebra and Trigonometry
Move on into trigonometry. An informative eBook takes the content of a College Algebra course and adds more relating to trigonometry and trigonometric functions. The content organization allows pupils to build upon their learning by...
Curated OER
Perfect Squares and Factoring
A teacher guided lesson on perfect squares and factoring. They discuss perfect squares, observe the expansion steps for finding the product, and practice solving problems. They complete a worksheet on perfect squares and factoring.
Illustrative Mathematics
Combined Fuel Efficiency
Practice simplifying complex fractions and long division of polynomials with this brief exercise. These four questions make a challenging warm-up activity or a short, but comprehensive, follow-up after a detailed lesson on algebraic...
Rice University
Precalculus
Take a step beyond Algebra 2. Learners use the eBook to learn concepts from the typical Precalculus course. Content starts off with a short review of functions in general and moves on to the basic functions, finishing up with more...
Curated OER
Relationship Between Addition and Subtraction
Students are taught how to add and subtract and use number sense to solve basic math problems. In this addition and subtraction lesson plan, students are being taught using theories from different philosophers in education. They are...
Curated OER
Eigenvalues, Eigenvectors, and Diagonalization
Students determine eigenvectors and eigenvalues for a matrix. Students diagonalize a matrix. Similar matrices are defined. Determinant formula is given for an degree n polynomial.
Curated OER
Factoring Trinomials
Students factor trinomials using specific steps. In this algebra instructional activity, students factor polynomials following the steps on a smart instructional activity. They review important vocabulary to help with solving the problems.
Curated OER
Adding and Subtracting Expressions
In this algebra worksheet, students add and subtract expressions. They solve monomials and polynomials. There are 14 questions with an answer key.
Curated OER
Multiplying by a Monomial
In this algebra worksheet, students factor monomials. They identify the roots of polynomials. There is one question with an answer key.
Curated OER
Iterating the Function and Complex Numbers
Young scholars identify the end behavior of polynomial graphs. For this algebra lesson, students factor and solve quadratic and complex equations. They factor out negative roots and identify the real and imaginary parts of an equation.