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Worksheet
Curated OER

Finite Geometric Series

For Students 9th - 12th
In this geometric series worksheet, students find the nth term in a sequence.  They evaluate a given geometric sequence and determine the number of terms in a geometric series.  This two-page worksheet contains 26 problems.  Answers are...
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Worksheet
Curated OER

Sequences and Series

For Students 9th - 11th
In this sequences and series worksheet, students find the sum of a given geometric series. They use sigma notation to express a geometric series. This one-page worksheet contains 12 problems.
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Lesson Plan
Curated OER

Finding The Sum of an Infinite Series

For Teachers 9th - 12th
Students examine finding the sum of an infinite series as the limit of partial sums. Through hands-on activities, students create their own sequence by finding the area of a square and then cutting it in half-sized pieces. They write...
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Worksheet
Curated OER

Taylor Series: Natural Number

For Students 9th - Higher Ed
In this calculus worksheet, learners apply the Taylor Series to exponential functions based at either zero or one. There are 2 questions with multiple parts.
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Worksheet
Curated OER

Finding the missing vales and the sums for Geometric Series

For Students 10th - 12th
In this geometric sums worksheet, students find the indicated sum of eight geometric series, the missing values of ten series, and solves for twelve addition problems related to geometric series.
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Worksheet
Curated OER

Arithmetic and Geometric Series

For Students 9th - 12th
In this algebra worksheet, students calculate the sum of a finite, geometric or arithmetic series. There are 5 multiple choice questions.
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Worksheet
Curated OER

Taylor Series

For Students 9th - Higher Ed
In this calculus worksheet, students solve various functions for the Taylor Series using a variety of solving methods including the double angle formula, partial fractions, and u substitution. There are 8 questions.
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Worksheet
Curated OER

2.1 Arithmetic Series

For Students 9th - 12th
In this arithmetic series activity, students solve 30 short answer problems. Students find the sum of a given arithmetic series. Students find arithmetic means between two terms in an arithmetic sequence.
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Worksheet
Curated OER

Sum of an Arithmetic Series

For Students 9th - 11th
In this algebra worksheet, students are asked to add up the integers from 1 to 100.  They use Gauss method to find the sum of this arithmetic series. There is an answer key with this problem.
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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

Taylor Series and Taylor Polynomials

For Students 11th - Higher Ed
In this math worksheet, students solve problems that focus upon the use of the Taylor Series and Taylor Polynomials. Then they substitute and differentiate each equation.
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Lesson Plan
Willow Tree

Slope

For Students 8th - 11th Standards
Investigate the different types of slope using graphs and ordered pairs. Scholars use the slope formula to determine the slope of a line between two points. Includes examples with a slope of zero and with no slope. The lesson follows a...
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Interactive
CK-12 Foundation

Sums of Finite Arithmetic Series: Triangular Numbers

For Students 11th - Higher Ed
Using a slider, scholars build triangular numbers and their associated rectangles and use the geometric display to find the pattern to determine the next triangular number. They then relate that number to the area of the rectangle to...
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Worksheet
Curated OER

Power and Maclaurin Series

For Students 11th - 12th
For this calculus worksheet, students solve 4 problems by finding the Power and Maclaurin series for different terms. They take the derivative and simplify functions.
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Worksheet
Curated OER

Introduction to Infinite Series

For Students 10th - 12th
In this algebra worksheet, students find the pattern and nth formula for different series. They decide whether a sequence will diverge or converge. There are 13 questions.
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Lesson Plan
Curated OER

Course of Antibiotics

For Teachers 9th - 12th Standards
This model of the amount of anibiotics in a person's system is represented abstractly by a finite geometric series. Learners translate this real-life situation into algebraic form and then extend their knowlege by answering questions...
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Worksheet
Curated OER

Arithmetic Series

For Students 9th - 10th
In this arithmetic series worksheet, students identify the first three terms in a given arithmetic series and find the sum of an arithmetic series. This two-page worksheet contains 18 problems.
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Worksheet
Curated OER

Sequences and Series

For Students 9th - 11th
In this sequencing worksheet, students solve problems with sequences and series. They derive formulas to solve word problems and receive specific points for doing so. There are 8 questions with an answer key.
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Worksheet
Curated OER

Using Series to Analyze Financial Situations: future Value

For Students 11th - 12th
For this Algebra II/Pre-calculus worksheet, students investigate a method of finding the accumulated value of an annuity by considering it a series. The eleven page worksheet contains explanation, examples, and twenty-three problems....
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Worksheet
Curated OER

Infinite Geometric Series

For Students 11th
In this Algebra II worksheet, 11th graders use their knowledge of infinite geometric series to solve problems such as determine in the sum of a series, solving word problems, and converting repeating decimals to fractions.  The one page...
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Worksheet
Curated OER

Algebra 2 and Trigonometry Practice Series #4

For Students 10th - 12th
For this sum of a series worksheet, students complete 6 multiple choice problems relating to the topic. They create an infinite series that converges to -2. Students graph one function on their graphing calculator.
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Lesson Plan
Curated OER

Infinity

For Teachers 11th - 12th
Learners determine the sum of an infinite geometric series.  In this determining the sum of an infinite geometric series lesson, students discuss how the sum of an infinite geometric series is a paradox.  Learners use the sum of an...
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Worksheet
Curated OER

Trig Functions

For Students 11th - 12th
In this trig functions worksheet, students solve and complete 24 different types of problems. First, they find the limits for each trig function given. Then, students find xso that the given infinities series converges. They also find...
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Worksheet
Curated OER

Visualizing Taylor Series and Fourier Series Approximations

For Students 11th - Higher Ed
In this math instructional activity, students read the examples of the Taylor series and geometric series. Then they investigate the application of examining the Taylor polynomials.

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