Curated OER
Complex Analysis: More Applications of Residues
In this applications of residues worksheet, students evaluate complicated trigonometric integrals and use residues to evaluate the sum of an infinite list of numbers. This two-page worksheet contains explanations and examples, as well...
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The Integral Test
In this integral test, learners 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 worksheet contains six multi-step problems.
Curated OER
Arithmetic Series, Geometric Series, Partial Sums of Geometric Series
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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Infinity
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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Adding/Subtracting Integers
In this integer activity, students find the sum and difference of positive and negative integers. Each equation contains two to three terms, with multiple operations. Thirty problems are provided, with an answer sheet.
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Infinite Series: Convergent or Divergent
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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Worksheet 28
In this math worksheet, students study the Fourier series and consider the special orthogonal basis of functions. They write certain functions as an infinite sum.
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Patterns
In this college level algebra worksheet, students examine patterns, formulas that describe the pattern and determine the sum of an infinite pattern. The one page worksheet contains five questions. Answers are provided.
EngageNY
Decimal Expansions of Fractions, Part 1
Is it possible to add infinitely long decimals? As pupils complete the examples in the ninth lesson of this 25-part series, they determine that adding these decimals cannot be done without error. Their task is then to determine the size...
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Sequences and Series
For 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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Adding/Subtracting Decimals
In this decimal instructional activity, students find the sum and difference of positive and negative decimal numbers. Equations contain two to three terms, with multiple operations. Thirty addition and subtraction problems are on this...
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Algebra 2 and Trigonometry Practice Series #4
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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Problem of the Day #8: Geometric Series
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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Infinite Pre-Algebra: Two-Step Equation Word Problems
In this two step equations worksheet, students solve 14 word problems in short answer format. Students write a linear equation and solve given a word problem.
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Arithmetic Sequences
Find the sequence of an equation with your math super stars. They differentiate between arithmetic and geometric sequences and then calculate the sum of finite and infinite sequences.
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Introduction to Series
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.
Curated OER
One To the Infinite Power
Students identify and discuss individuals who have made a difference and what inspired them to take action, explore strategies for taking action and making a difference, examine global challenges, and practice narrative writing, in form...
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Geometry w/o Figures - Week 7 (Basic Geometry Formulas)
In this basic geometry worksheet, students use basic formulas of geometry to find the area of a polygons, the number of sides of a polygon, and sum of the angles of various polygons. This three-page worksheet contains eight problems.
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Multiplying Decimals
In this multiplying decimals worksheet, 6th graders solve and complete 12 various types of problems that include decimals. First, they multiply each set of numbers as if they were whole numbers. Then, students add the products and place...
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Finite Geometric Series
In this geometric series learning exercise, 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 learning exercise contains 26...
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Summary Worksheet: Sequences
In this sequence worksheet, students determine whether the sequence is convergent or divergent. They find the limit of a given sequence, and solve distance problems. Students explore partial sums of an infinite series and use the...
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Infinity
Students engage in a lesson plan that is concerned with the concept of infinity as defined in a series by geometry. The lesson plan integrates the use of philosophy to help them comprehend how infinity can possibly mean while...
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4c and 7c Stamps
Fifth graders determine what it takes for a sequence of numbers to carry on infinitely. They examine patterns that can be made using linear combinations of 4 and 7 based on the use of four cent and seven cent stamps. They use appropriate...
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Square Numbers Closure Activity
Students discuss square numbers. In this math lesson, students find square numbers and support their answers. Students find sums and products that are square numbers.