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Worksheet
Curated OER

Irrational and Imaginary Root Theorems

For Students 9th - 11th
In this irrational and imaginary root theorem instructional activity, students identify the number of complex zeros for a given function. They write a polynomial function of leas degree with integral coefficients. This four-page...
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Lesson Plan
Curated OER

Elementary Algebra Study Guide

For Teachers 8th - 11th
Middle and high schoolers solve problems involving linear equations, inequalities, quadratics, radicals, systems of equations, exponents, and polynomials. Many of the problems encompass a review of Algebra I. This 10-page worksheet...
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Lesson Plan
Curated OER

Crossing the Asymptote

For Teachers 9th - 11th
Students investigate graphs and their asymptotes. In this precalculus lesson, students examine the numerator and denominator of their rational functions. This helps them identify where and when the graph will cross its asymptote.
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Lesson Plan
EngageNY

Exploiting the Connection to Trigonometry 2

For Teachers 11th - 12th Standards
The class checks to see if the formula for finding powers of a complex number works to find the roots too.  Pupils review the previous day's work and graph on the polar grid. The discussion leads the class to think about how to reverse...
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Worksheet
Curated OER

Inverse Relations

For Students 11th
In this Algebra II worksheet, 11th graders graph functions on a coordinate plane. Students determine values for which the function is undefined and explore reciprocal functions. The one page worksheet contains thirty-two problems....
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Unit Plan
Benjamin Franklin High School

Saxon Math: Algebra 2 (Section 1)

For Teachers 9th - 12th Standards
This first of twelve algebra 2 resources provides a broad review of many algebra 1 concepts through a number of separable lessons and labs. Starting with the real number system and its subsystems, the sections quickly but thoroughly move...
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Assessment
Achieve

Ivy Smith Grows Up

For Students 9th - 12th Standards
Babies grow at an incredible rate! Demonstrate how to model growth using a linear function. Learners build the function from two data points, and then use the function to make predictions.
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Lesson Plan
1
1
EngageNY

Using the Quadratic Formula

For Students 9th - 10th Standards
What is the connection between the quadratic formula and the types of solutions of a quadratic equation? Guide young mathematicians through this discovery as they use the discriminant to determine the number and types of solutions, and...
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Lesson Plan
Curated OER

Radical Expressions

For Teachers 11th
In this radical expressions worksheet, 11th graders solve and complete 55 various types of problems. First, they find the function value in each expression. Then, students simplify, assuming that variables represent real numbers. In...
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Activity
Curated OER

Extending the Definitions of Exponents, Variation 2

For Teachers 9th - 12th Standards
Introduce the concept of exponential functions with an activity that extends the definition of exponents to include rational values. Start with a doubling function at integer values of time, then expand table to include frational time...
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Lesson Plan
EngageNY

An Appearance of Complex Numbers 1

For Teachers 11th - 12th Standards
Complex solutions are not always simple to find. In the fourth lesson of the unit, the class extends their understanding of complex numbers in order to solve and check the solutions to a rational equation presented in the first lesson....
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Worksheet
Curated OER

Laws of Exponents, Radicals

For Students 11th
For this Algebra II worksheet, 11th graders solve problems involving the laws of exponents, including fractional exponents, solve radical equations, and graph radical functions.  The ten page worksheet contains fifty-seven problems. ...
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Worksheet
Curated OER

Using Synthetic Substitution and The Factor Theorem to determine Factors of Polynomials

For Students 10th - 12th
In this synthetic substitution activity, students evaluate three different function at specified points.  Students also determine if given factors are factors of four specific polynomials.  Additionally students use the Factor Theorem...
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Worksheet
Curated OER

Limit Estimation

For Students 9th - 12th
In this pre-calculus worksheet, students estimate the limit of trig functions and rational functions as x approaches a number. There are 4 questions.
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Worksheet
Curated OER

Four Slant Asymptotes Problems

For Students 11th - Higher Ed
In this slant asymptotes worksheet, students calculate the slant asymptotes in four rational functions.  The solutions are not provided.
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Lesson Plan
1
1
Illustrative Mathematics

Egyptian Fractions II

For Teachers 8th - 12th Standards
The Egyptians used unit fractions to describe all other fractions. Your class will rewrite rational expressions in order to deduce information about rational numbers. The activity starts with specific fractions, guides you through a few...
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Handout
Del Mar College

Quick Reference Card

For Students 9th - 12th Standards
A neat and organized formula handout makes the circle go round, doesn't it? Full of higher algebra topics, formulas and rules, graphs and definitions—there is a way to support everyone in Algebra II or Pre-Calculus. 
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Lesson Plan
Mathalicious

The Fall of Javert

For Teachers 9th - 12th Standards
Falling off a bridge might not sound like your idea of a good math problem, but incorporating the final scene of Les Misérables is sure to spark interest. The goal is to use the time Javert fell off the bridge to determine how high he...
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Worksheet
Mt. San Antonio Collage

Review: Solving Equations

For Students 9th - 12th Standards
While there are many types of equations to solve, the main focus here is on quadratics. Starting with a quick review of the different methods, learners are guided through the solving process and are challenged to solve higher level of...
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Lesson Plan
Curated OER

Inequalities 7.3

For Teachers 7th - 8th
Graph inequalities and discuss the difference in their slopes. Learners observe rate of change as they compare linear, quadratic, and cubic functions.
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Lesson Plan
Curated OER

The football and Braking Distance; Model Data with Quadratic Functions

For Teachers 8th - 10th
Students use the quadratic formula to solve application problems. The first problem relates to the path of a football thrown from the top of the bleachers. Students compute the time it will take the football to reach certain heights. In...
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Assessment
1
1
CCSS Math Activities

Smarter Balanced Sample Items: High School Math – Claim 3

For Teachers 9th - 12th Standards
Communication is the key. A presentation provides 25 sample items for Claim 3, Communicating Reasoning, for the Smarter Balanced High School Math assessment. Items require pupils to answer the question and provide logical reasoning to...
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Lesson Plan
National Security Agency

Multiple Representations of Limits

For Students 11th - 12th Standards
After an introductory activity to demonstrate the theory of a limit, additional activities approach a limit from graphical, numerical, and algebraic methods. The activity looks at the multiple ways of understanding and evaluating a limit. 
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Handout
Mt. San Antonio Collage

Exponential Growth and Decay

For Students 9th - 12th Standards
Start with the basics and move up the exponential ladder to master a variety of problem-solving and application problems. The problems are heavy on exponential growth and decay, compound interest, and natural log.  

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