Virginia Department of Education
Rational Expressions
Demonstrate the progression of operations with rational expressions through a multi-day lesson, equipped with worksheets for each day. High schoolers develop the concepts needed to perform operations with rational expressions....
Curated OER
Lesson #106 Logs and Long Division
Students investigate a method of evaluating integrals using long division. In this calculus lesson, 12th graders examine a method of using long division to perform integration. The lesson includes a bingo worksheet on...
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Worksheet 8, Exponents
In this calculus worksheet, learners analyze one equation by finding the maximum number of zeros. They use Descarte's Rule of Signs and the rational roots theorem. Students use synthetic division to factor the polynomial. Learners solve...
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Maximize It!
Students design a rectangular box without a lid that has the largest possible volume using the supplied sheet of centimeter graph paper. They work in groups to construct different size boxes to determine the largest possible volume and...
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Rational Expressions: Simplifying
This two-day lesson will help the class simplifying rational expressions. It also has an emphasis on understanding when a rational expression is undefined. The lesson contains powerpoint presentations, worksheets, and answer key.
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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...
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...
Mathematics Assessment Project
Middle School Mathematics Test 5
A middle school test contains two 40-minute sections covering material through algebra. All questions involve applied problem solving or mathematical analysis.
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Perfect Squares and Factoring
A teacher guided lesson plan 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.
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Algebra II Chapter 10 Test
For this algebra worksheet, students solve divisions problems using long division and synthetic division. There are 14 questions and an extra credit problem.
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Arithmetic Complex Numbers
Students convert quadratic functions from standard form to vertex form. In this algebra lesson, students solve polynomials using synthetic and long division. They derive and apply the remainder theorem and factor theorem.
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Scientific Notation
In this scientific notation worksheet, students examine examples of numbers that are expressed in scientific notation. They look at problems that include either multiplication or division. There are no problems associated with this...
Curated OER
Exponents - Week 1
In this exponent worksheet, learners add, subtract, multiply and divide exponents. They solve problems containing negative exponents, fractional exponents, and polynomials. This two-page worksheet contains eight problems.
Curated OER
Rational Expressions
Students simplify rational expressions. In this algebra instructional activity, students solve rational equations using multiplication and division. They apply properties of exponents and negative exponents to solve the problems.
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Solving Algebraic Expressions
Students simplify equations and expressions. In this algebra lesson plan, students add, subtract, multiply and divide as they solve expressions. They relate factoring to solving polynomials.
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The Rational Root Theorem
In this algebra worksheet, 11th graders find the rational roots of an equation, by setting it to zero and solving for x. They can also use synthetic division and p/q to help find and eliminate rational root values. There are 19 problems...
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Factoring
Students factor quadratic equations into two binomials multiplied by each other. In this quadratic equations lesson plan, students complete math problems in and out of class.
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Functions
Students explore a variety of functions. They recognize and describe functions and use linear functions to describe situations. Students find the domain and range of linear functions and graph rational expressions.
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Linear Equations
In this linear equations worksheet, students solve 9 different linear equations by applying the point-slope formula in each. First, they determine the linear equation of each. Then, students use the slope and one point of the line to...
Curated OER
Love Algebra?
Eighth graders, while in the computer lab, access a web site to help them utilize manipulatives of cups and tiles to develop the skills necessary to understand multi-step equations. They assess the relationship between cups and tiles and...
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Two-Step Equations
Students explore the concept of solving two-step equations. In this solving two-step equations lesson, students watch a short video about solving equations. Students view a PowerPoint presentation about solving two-step equations....
Pennsylvania Department of Education
Extending Pattern Understandings
Students use shapes and manipulatives to demonstrate patterns. In this patterns lesson plan, students also break up patterns to identify a pattern unit.
Curated OER
Adding and Subtracting Rational Expressions
In this algebra worksheet, learners add and subtract rational expressions using the LCM. They combine like denominators before they add and subtract the expressions. There are 8 questions.
Curated OER
Equations and Inequalities
Students in a college algebra class use graphs to solve inequalities. Using the coordinate graphing system, they represent the relationship between x and y intercepts. They practice solving equations with complex numbers and locate...
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