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Lesson Plan
Curated OER

Asymptotes and Zeros

For Teachers 9th - 12th Standards
Learn how to explore rational functions and investigate the graphs rational functions and identify its singularities and asymptotes.  Students approximate the solutions to rational equations and inequalities by graphing.
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Unit Plan
Benjamin Franklin High School

Saxon Math: Algebra 2 (Section 4)

For Teachers 9th - 12th Standards
This fourth of twelve units in a series continues the investigation of functions through equations and inequalities. However, the modular nature of the lessons in the section make this an excellent resource for any curriculum covering...
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Assessment
1
1
Mathematics Assessment Project

Arithmetic with Polynomials and Rational Expressions

For Students 9th - 12th Standards
It all starts with arithmetic. An educational resource provides four items to use in summative assessments. The items reflect the basic skill level required by the standards in the domain and are designed to have pupils reason abstractly...
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eBook
Rice University

Precalculus

For Students 11th - Higher Ed Standards
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...
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Lesson Plan
Curated OER

College Level Study Guide

For Teachers 11th - Higher Ed
In this study guide worksheet, students examine and complete questions that are similar to the college Accuplacer College Level Math test. This worksheet includes, but is not limited to, factoring and expanding polynomials, simplifying...
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Lesson Plan
1
1
Curated OER

Rumors

For Teachers 9th - 12th Standards
Your young gossipers write an exponential function for the number of people who have heard a rumor after a number of days have passed. Learners then answer a series of questions, including whether or not the solutions are realistic by...
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Lesson Plan
2
2
Curated OER

Skeleton Tower

For Teachers 9th - 12th Standards
Your algebra learners build a quadratic function in this task of counting the blocks used to build objects. The arithmetic sequence that shows up brings up a shortcut to the long addition using the Gauss Method. Eventually, learners...
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Worksheet
Curated OER

Applications and Writing Functions

For Students Higher Ed
In this college level Pre-Calculus worksheet, students use polynomial and rational functions to solve application word problems.  The three page worksheet contains forty-four problems.  Answers are not included. 
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Lesson Plan
Curated OER

Differentiation Quiz

For Teachers 11th - 12th
In this differentiation quiz worksheet, young scholars solve 10 short answer problems. Students differentiate rational equations, trig functions, exponential models, higher order polynomials, etc.
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Worksheet
Curated OER

Rational Expressions Test with a Calculator

For Students 11th - Higher Ed
In this rational expression activity, students graph rational equations, evaluate limits, state intercepts, asymptotes, and roots and factor.  This activity is designed as a test to be completed with a calculator. 
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Lesson Plan
Curated OER

Eighty-Six Various Polynomial Function Problems

For Teachers 11th - Higher Ed
In this polynomial functions worksheet, students solve eight-six various problems concerned with the degree, graph, intercepts, end behavior, and transformations of polynomial functions. Some of the problems are algebraic work and some...
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Assessment
EngageNY

End-of-Module 3 Assessment Task

For Teachers 11th - 12th Standards
Let's see what the class learned! The last installment of the 23-part Pre-calculus module consists of nine assessment questions designed to measure a specific portion of a standard in the unit. Learners demonstrate their understanding of...
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eBook
Rice University

College Algebra

For Students 9th - Higher Ed Standards
Is there more to college algebra than this? Even though the eBook is designed for a college algebra course, there are several topics that align to Algebra II or Pre-calculus courses. Topics begin with linear equation and inequalities,...
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Lesson Plan
EngageNY

Wishful Thinking—Does Linearity Hold? (Part 1)

For Teachers 11th - 12th Standards
Not all linear functions are linear transformations — show your class the difference. The first lesson in a unit on linear transformations and complex numbers that spans 32 segments introduces the concept of linear transformations and...
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Assessment
1
1
Balanced Assessment

Transformation II

For Students 9th - 12th Standards
Develop a solid understanding of the manipulation of expressions to produce equivalent expressions. Given an expression, pupils rearrange it to create a new one. Their new functions must match the structure of the model expressions.
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Lesson Plan
Kenan Fellows

Attack of the Aphids!

For Teachers 10th - Higher Ed Standards
Insects threaten the food production industry, and aphids are one of the big players! Analyzing data of aphid populations gives insight into their behaviors. Learners model the population data of an uninhibited population with an...
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Worksheet
Curated OER

Rational Zero Theorem

For Students 11th
In this rational zero theorem activity, 11th graders solve and complete 7 different problems. First, they list all of the possible rational zeros of each function. Then, students find all of the rational roots of each function. Finally,...
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Lesson Plan
Curated OER

Adding and Subtracting forty-Four Rational Expressions with Unlike Denominators

For Teachers 11th - Higher Ed
In this adding and subtracting rational expressions worksheet, pupils perform the indicated operations and simplify forty-four expressions.  These problems involve unlike denominators.
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Worksheet
Curated OER

Twelve Rational Expressions Math Regents Exam Problems

For Students 8th - 10th
In this rational exponents worksheet, students solve ten multiple choice and two free response math regents exam questions.  The solutions are provided.
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Worksheet
Curated OER

Simplifying Rational Expressions

For Students 8th - 10th
In this algebra worksheet, students identify the properties of rational expressions. They find the domain and range. There are 5 questions with an answer key.
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Worksheet
Curated OER

Rational Expressions: Add and Subtract

For Students 9th - 12th
In this rational expression learning exercise, students add or subtract rational expressions by finding common denominators. There are 11 multiple choice questions.
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Lesson Plan
Curated OER

Worksheet 1

For Teachers Higher Ed
In this math worksheet, students give examples of functions that will satisfy given conditions. Students tell the tabulations for a given function. Students use the definition of a derivative to compute the inverse of a function. they...
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Worksheet
Curated OER

Math Honors 2: Semester 1 Review

For Students 10th - 12th
For this worksheet, learners review topics from Algebra 2. Topics include synthetic division, rational algebraic expressions, quadratic functions, imaginary number, composite functions, and inverse of a function. The three-page worksheet...
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Lesson Plan
Curated OER

One of the Many Ways

For Teachers 9th - 12th Standards
Explore the concept of polynomials and determine the value and number of zeros for a given polynomial using the Rational Root Theorem. Then graph the polynomials and relate the number of zeroes to the degree of the polynomial.

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