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Worksheet
Curated OER

Polynomial Functions

For Students 11th - Higher Ed
In this Pre-Calculus/Calculus worksheet, students graph polynomial functions, identifying the x- and y-intercepts as well as end behavior.  The two page worksheet contains sixty problems.  Answers are included. 
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Unit Plan
Mathematics Vision Project

Module 4: Linear and Exponential Functions

For Teachers 8th - 10th Standards
Sequences and series are traditionally thought of as topics for the pre-calculus or calculus class, when learners are figuring out how to develop limits. But this unit uses patterns and slopes of linear functions in unique ways to bring...
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Worksheet
Curated OER

Review Quiz before Mini-Exam

For Students 9th - 12th
In this pre-calculus review worksheet, students solve 28 multiple choice problems. Students find the trigonometric values of various angles, find the eccentricity of an ellipse, use trigonometric identities solve compounded interest...
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Worksheet
1
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Curated OER

Rational Functions

For Students Higher Ed
In this college level Pre-Calculus worksheet students evaluate rational functions, identify the domain, vertical asymptotes, and x- and y-intercepts.  The three page worksheet contains forty problems.  Answers are provided. 
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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

Inverses of Logarithmic and Exponential Functions

For Teachers 11th - 12th Standards
Revisit the relationship between logarithms and exponentials. Learners review the notion of logarithms as the way to solve exponential equations in the 21st segment in a Pre-calculus series of 23. Pupils use the knowledge to prove that...
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Lesson Plan
EngageNY

Horizontal and Vertical Asymptotes of Graphs of Rational Functions

For Teachers 11th - 12th Standards
Get close to your favorite line. Scholars use end behavior to help find horizontal asymptotes. With the understanding of domains of rational functions, learners find vertical asymptotes and then use graphing calculators to verify the...
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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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Worksheet
Curated OER

A.P. Calculus Prerequisite No Calculator Multiple-Choice and Free-Response Exam

For Students 11th - Higher Ed
In this A.P. Calculus pre-requisites worksheet, students solve ten multiple-choice and ten free-response questions.  Many of these questions cover trigonometric functions. 
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Worksheet
Curated OER

Finding the Limit: Piecewise Functions and Graphs

For Students 9th - Higher Ed
This pre-calculus worksheet is short, yet challenging. High schoolers calculate the limit of piecewise functions, rational functions, and graphs as x approaches a number from the positive or negative side. There are four questions.
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Lesson Plan
Curated OER

Transformation of Graphs

For Teachers Higher Ed
In this college level Pre-calculus worksheet, students examine families of functions and describe how graphs of the transformation can be obtained from the parent graph.  The four page worksheet contains seventy-two problems.  Answers...
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Lesson Plan
Curated OER

The Laws of Sines and Cosines Made Simple!

For Teachers 10th - 12th
Pupils study the law of sine and cosine. In this pre-calculus lesson, students create a triangle and identify the different ratios of a non-right triangle. They use the properties of sine and cosine to solve.
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Worksheet
Curated OER

Circular Trigonometric Functions

For Students 11th - 12th
In this Pre-calculus/Trigonometry learning exercise, learners prove trigonometric identities and find all values that satisfy the equations of circular trigonometric functions. The four page learning exercise contains twenty-four...
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Worksheet
Curated OER

Circular Trigonometric Functions

For Students 11th - 12th
In this Pre-calculus/Trigonometry worksheet, students estimate the amplitude, period, and horizontal and vertical translations of a graph and find a rule that models the data. The three page worksheet contains fourteen problems. Answers...
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Lesson Plan
Curated OER

Extrema on an Interval

For Teachers 9th - Higher Ed
Learners explore maximum and minimum points, slopes and tangents. In this Pre-Calculus lesson, students solve optimization problems and find rates of change.
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Worksheet
Curated OER

Sixteen Angle Pre-calculus Trig Problems

For Students 11th - Higher Ed
In this angle worksheet, students solve ten multiple choice and six free response questions.  These precalculus questions cover angles, radians, and right triangles.
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Worksheet
Curated OER

Worksheet 1, Basic Calculus Pre-Course Review

For Students 10th - 11th
In this calculus activity, students review topics they need to already understand in order to be successful in a basic calculus course. Topics include functions, linear equations, coordinate graphing, piece-wise formulation, exponents,...
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Lesson Plan
Texas Instruments

NUMB3RS Activity: Narrowing the Search

For Teachers 9th - 12th Standards
Young scholars explore the length of an n-dimensional vector.  In this Algebra II/Pre-calculus lesson, students investigate an expansion of the Pythagorean Theorem to n-dimensional space. 
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Worksheet
Curated OER

Introduction to Series

For Students 11th
In this Algebra II/Pre-calculus worksheet, 11th graders rewrite a series as a sum, evaluate a series, and rewrite a series using sigma notation.  The two page worksheet contains 32 problems.  Answers are provided.
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Lesson Plan
Texas Instruments

Buying Your First New Car!

For Teachers 11th - 12th Standards
Learners explore exponential growth and decay using M&M’s in this Algebra II/Pre-calculus instructional activity. They investigate the cost of a new car by calculating depreciation and payments.
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Lesson Plan
Curated OER

Concepts in Precalculus 1: Trigonometry

For Teachers 11th - 12th
Learners investigate trigonometry.  In this Algebra II/Pre-calculus/Trigonometry lesson, students explore Islamic achievements in mathematics as they calculate angles and distances using the Law of Sines and the Law of Cosines. ...
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Worksheet
Curated OER

Logarithms #2

For Students 11th - 12th
In this Algebra II/Pre-Calculus worksheet, students simplify logarithmic expressions and use a calculator to determine the value of a logarithmic expression.  The three page worksheet contains a combination of twenty-five free response...
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Worksheet
Curated OER

Summations 1

For Students 11th - 12th
In this Pre-calculus worksheet, students determine the sum of the indicated number of terms of the arithmetic or geometric series.  The one page worksheet contains fifteen problems.  Answers are provided. 
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Lesson Plan
1
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Curated OER

Unit Circle

For Teachers 11th - 12th
In this Pre-Calculus worksheet, students solve problems involving angles and the unit circle.  The four page worksheet contains a combination of twenty multiple choice and free response problems.  Answers are provided. 

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