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Worksheet
Curated OER

The Integral Test

For Students 12th - Higher Ed
In this integral test, students determine the limits, give partial sums of infinite series, explore geometric series, and use the Integral Test to determine if a function converges. This two-page instructional activity contains six...
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Worksheet
Curated OER

Introduction to Taylor Series

For Students Higher Ed
In this Taylor Series instructional activity, students explore functions with an infinite series. They complete an integral of convergence and explore the degree of the polynomials. This four-page instructional activity contains four...
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Worksheet
Curated OER

Infinite Series: Convergent or Divergent

For Students 12th - Higher Ed
In this infinite series worksheet, students use the Integral Test to determine if a function is convergent or divergent. They use the Comparison Test to prove convergence and calculate partial sums. This two-page worksheet contains...
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Lesson Plan
Curated OER

Linear Functions, Restricted Domains, Infinite Geometric Series, Interconnections

For Teachers 9th - Higher Ed
In this math worksheet, students graph the linear functions in comparison to the inequalities. Then they compare the line segments on the coordinate plane.
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Worksheet
Curated OER

Determine if the Given Six Series Converge Using the Alternate Series Test

For Students 12th - Higher Ed
In this alternate series test worksheet, students use the alternating series test to determine if the given six infinite series converge.
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Worksheet
Curated OER

Algebra 2 and Trigonometry Practice Series #4

For Students 10th - 12th
In 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
1
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Curated OER

Sum of Infinite Geometric Series

For Teachers 9th - 12th Standards
Your mathematicians solve problems using geometric series in this pre-calculus instructional activity. They divide a unit square into very small pieces and identify the reasoning behind the sum of a series being less than one.
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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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Worksheet
Curated OER

Problem of the Day #8: Geometric Series

For Students Higher Ed
In this geometric series worksheet, students examine the terms of a series and prove the sum of given terms. They give examples of geometric series. This one-page worksheet contains ten problems.
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eBook
Rice University

Calculus Volume 2

For Students 11th - Higher Ed
Delve into the middle of calculus. The resource is the second eBook of three that covers the complete calculus content. Seven chapters begin with integrals and different methods of integration before moving on to differential equations....
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Lesson Plan
Curated OER

Infinite Geometric Series

For Teachers 11th
Eleventh graders investigate infinite geometric series.  In this Algebra II lesson, 11th graders explore partial sums of geometric series, converging and diverging series, and sums of infinite geometric series.   The TI-nspire handheld...
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Worksheet
Curated OER

Finite Geometric Series

For Students 9th - 12th
In this geometric series instructional activity, 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 instructional activity contains...
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Worksheet
Curated OER

Complex Analysis: More Applications of Residues

For Students Higher Ed
In this applications of residues instructional activity, students evaluate complicated trigonometric integrals and use residues to evaluate the sum of an infinite list of numbers. This two-page instructional activity contains...
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Worksheet
Curated OER

Basic Calculus II: Quiz 8

For Students Higher Ed
In this infinite series worksheet, students use comparisons to determine convergence for improper integrals. They use the integral test for infinite series. Students state the reasons they believe a given integral is converging or...
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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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Lesson Plan
Curated OER

Infinity

For Teachers 11th - 12th
Students 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.  Students use the sum of an...
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Worksheet
Curated OER

Sequences and Series

For Students 10th
In this sequences and series worksheet, 10th graders solve and complete 13 different problems that include infinite geometric series. First, they find the sum of each infinite geometric series. Then, students find the first three terms...
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Worksheet
Curated OER

Arithmetic Series

For Students 7th - 8th
In this arithmetic series worksheet, students solve and complete 26 various types of problems. First, they evaluate the related series of each sequence shown. Then, students determine the number of terms n in each arithmetic series.
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Lesson Plan
EngageNY

Solutions of a Linear Equation

For Teachers 8th Standards
Use the distributive property to solve equations. The sixth instructional activity in a 33-part series has scholars solve equations that need to be transformed into simpler equations first. Class members apply the distributive property...
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Worksheet
Curated OER

Arithmetic Series, Geometric Series, Partial Sums of Geometric Series

For Students 11th - 12th
In this Algebra II/Pre-calculus worksheet, students solve problems that involve arithmetic series and infinite geometric.  Students determine the partial sums of a geometric series. The three page worksheet contains forty-six problems. ...
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Handout
Charleston School District

Solving Systems by Inspection

For Students 8th Standards
Can you solve a system by just looking at it? The previous lessons in the series taught three methods of solving systems of equations. Now learners discover they can determine the number of solutions of a system just by looking at it....
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Lesson Plan
EngageNY

Nature of Solutions of a System of Linear Equations

For Teachers 8th Standards
If at first you cannot graph, substitute. The lesson introduces the substitution method as a way to solve linear systems if the point of intersection is hard to determine from a graph. The 28th installment of a 33-part series finishes...
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Lesson Plan
Code.org

While Loops

For Students 9th - 12th
Bring your pupils in the loop with while loops. Scholars learn how to modify conditional statements to produce while loops in the 14th activity of the series. They use flowcharts to understand loops and then program some examples of loops.
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Worksheet
Curated OER

Testing Infinite Series for Convergence/ Divergence

For Students 11th - Higher Ed
In this math learning exercise, students investigate the concepts of divergence and convergence for the functions. The sheet is handwritten and has poor quality.

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