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Assessment
Los Angeles County Office of Education

California State Standards: Algebra I

For Students 8th - 10th Standards
Starting a year of Algebra I? This mighty packet practices all of the major topics with different ranges of difficulty. Standards include everything from linear to quadratic to rational expressions. Use it in a variety of ways to...
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Worksheet
Curated OER

Laws of Exponents, Radicals

For Students 11th
In 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

The Exponent Rules

For Students 9th
In this Algebra I activity, 9th graders use the computer program Understanding Exponents to examine the laws of exponents.  The activity is divided into an on computer and off computer component.  The activity is eleven pages long and...
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Lesson Plan
Curated OER

Worksheet 8, Exponents

For Teachers 11th - 12th
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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Worksheet
Raytheon

Simplifying and Combining Algebraic Expressions

For Students 8th - 9th
In this simplifying and combining algebraic expressions worksheet, students solve 100 problems that simplify monomials, radicals and rational expressions, solve 38 problems combining expression, then solve 40 questions in a test of...
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Worksheet
Curated OER

Vertical Asymptotes: M=N and M=N+1

For Students 9th - 12th
In this algebra worksheet, students determine the vertical asymptotes for a given rational equation with the leading exponents following either of the cases: M = N or M = N + 1. There are 4 questions.
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Worksheet
Curated OER

Steps and Examples for Multiplying Ratiuonal Expressions

For Students 9th - 11th
For this multiplying rational expression worksheet, students are given two examples of how to multiply and then simplify rational expressions.  The examples are complete with steps and justifications.
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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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Handout
Charleston School District

Solving Exponent Equations

For Students 8th - 9th Standards
Show your class that not all equations are linear. The lesson asks learners to solve simple quadratic and cubic equations using square and cube roots. Problems include equations with no solutions. 
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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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Assessment
1
1
Balanced Assessment

Smaller, Larger, In-Between

For Students 7th - 12th Standards
Build a solid understanding of rational number relationships by asking class members to use various skills to order decimals, fractions, and numeric power expressions. Using the resource, they find that the fractions do not have an...
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Worksheet
Curated OER

Fractions and Arithmetic

For Students 5th - 6th
Fifth and sixth graders complete fraction problems involving mixed numbers, word problems, addition of fractions, variables in fractions, and more. They complete five problems.
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Worksheet
Curated OER

Horizontal Asymptotes: M=N, M>N

For Students 9th - 12th
In this algebra worksheet, students calculate the horizontal asymptote for rational functions, whose leading exponents follow the rules: M = N or M > N. There are 4 questions.
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Assessment
2
2
Mathematics Assessment Project

Seeing Structure in Expressions

For Students 9th - 12th Standards
Structure makes everything easier — even math. A helpful resource contains five short problems that require pupils to use the structure of the expressions in order to answer the questions. 
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Lesson Plan
Virginia Department of Education

Radical Equations

For Students 9th - 12th Standards
Provide learners with the skill for how to examine algebraic and graphical approaches to solving radical equations. Learners solve various radical equations involving square root and cube root expressions. They first solve using...
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Worksheet
Curated OER

Senior Analysis

For Students 9th - 12th
A good review worksheet on simplifying rational expressions, solving equations with factorials, solving problems on permutations and combinations, and using the Binomial Theorem.  
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Worksheet
Curated OER

Seven Derivative Problems

For Students 12th - Higher Ed
In this derivatives worksheet students calculate the derivative for five functions and two application problems.  These problems include rational functions and functions with rational exponents.
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Worksheet
Curated OER

The Discriminant

For Students 9th
In this discriminant worksheet, 9th graders solve 10 different problems related to determining the discriminant in each equation. First, they find the nature of roots in quadratic equations. Then, students determine whether each of the...
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Worksheet
Curated OER

Word Problems with Exponents

For Students 9th
In this Algebra I worksheet, 9th graders solve work word problems in which the generated equation contains fractional coefficients.  The four page worksheet contains two problems in which students are guided through the partially worked...
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Worksheet
Curated OER

Algebraic Fractions

For Students 9th
In this algebraic fractions instructional activity, 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...
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Worksheet
Curated OER

Algebraic Fractions

For Students 9th
In this algebraic fractions worksheet, 9th graders solve 10 different problems that include multiplying and dividing various fractions. First, they multiply the numerators then the denominators in each problem. Then, students cancel...
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Worksheet
Curated OER

Algebraic Fractions

For Students 9th
In this algebraic fractions worksheet, 9th graders solve 10 different problems that include simplifying and reducing various algebraic fractions. First, they determine whether each of the fractions can be reduced. Then, students rewrite...
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Lesson Plan
1
1
NASA

Lights on the International Space Station

For Teachers 9th - 12th Standards
Groups explore illumination with NASA's Lighting Environment Test Facility (LETF) as a context. Using the TI-Nspire app, groups determine the lux equation that models their simulation. They then use the lux equation to solve problems...
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Worksheet
Curated OER

Chapters 8 & 9: Functions and Graphing

For Students 10th - 12th
How many problems can your learners solve without using their calculators? They solve problems containing absolute value, exponents, and rational roots. This three-page worksheet contains 18 multi-step problems, and it was originally...

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