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Interactive
CK-12 Foundation

Sums of Geometric Series

For Students 11th - Higher Ed Standards
Geometric series either get bigger or approach a single number. So, how do you know which it is? An interactive presents three different geometric series with varying common ratios. With the aid of patterns, pupils determine values of r...
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Activity
Curated OER

Triangle Series

For Teachers 9th - 12th Standards
Your algebra learners emphasize the"geometric" in geometric series as they use a common ratio between algebraic terms and find that it corresponds to a repeated similarity transformation. 
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Worksheet
Curated OER

Infinite Geometric Series

For Students 11th
In this infinite geometric series worksheet, 11th graders solve and complete 33 various types of problems. First, they find the sum of the infinite geometric series for each of the given. Then, students find the range of values for each...
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Worksheet
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Curated OER

Arithmetic or Geometric Series

For Students 11th
In this Algebra II/Trigonometry worksheet, 11th graders evaluate arithmetic and geometric series.  The two page worksheet contains ten multiple-choice problems.  Answers provided. 
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Worksheet
Curated OER

Geometric Series 2.3

For Students 9th - 11th
Students will determine if a series of numbers are geometric, arithmetic, or neither and determine the common ratio if appropriate. In this geometric units lesson, students given a geometric series, determine the general term, and the...
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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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Instructional Video22:11
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Flipped Math

Series

For Students 9th - 12th Standards
Add it all together. Pupils learn how Gauss was able to add the numbers from 1 to 100 so quickly and arrive at a formula to find the sum of a given number of terms of an arithmetic series. Scholars learn the formula to find the sum for a...
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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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Lesson Plan
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Curated OER

A Lifetime of Savings

For Teachers 9th - 12th Standards
Sometimes people who seem to lead what would be considered an ordinary life do extraordinary things. Such was the case with Oseola McCarty, who donated a large sum of money for a university scholarship fund in her name. Oseala lived her...
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Worksheet
Curated OER

Trigonometry Practice Series #3

For Students 7th - 12th
In this trigonometry worksheet, students calculate the sum of the terms in an arithmetic and geometric series.  This two-page worksheet contains 5 multi-step problems.  Answers are provided at the bottom of the page.
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Worksheet
Curated OER

Finite Geometric Series

For Students 9th - 12th
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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Lesson Plan
West Contra Costa Unified School District

Arithmetic Series

For Teachers 9th - 12th
Fall for a series. Learners determine how to find out how far a skydiver falls in the first 20 seconds. The Algebra II lesson introduces the idea of adding up the terms of an arithmetic sequence. Pupils learn how to use Sigma notation to...
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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

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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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

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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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
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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Lesson Plan
EngageNY

The Mathematics Behind a Structured Savings Plan

For Teachers 10th - 12th Standards
Make your money work for you. Future economists learn how to apply sigma notation and how to calculate the sum of a finite geometric series. The skill is essential in determining the future value of a structured savings plan with...
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Lesson Plan
EngageNY

Credit Cards

For Teachers 10th - 12th Standards
Teach adolescents to use credit responsibly. The 32nd installment of a 35-part module covers how to calculate credit card payments using a geometric series. It teaches terminology and concepts necessary to understand credit card debt.
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Lesson Plan
Curated OER

Take Your Medicine 2

For Teachers 9th - 12th
Real-world application of the finite geometric series. Sick? Need to take Ampicillin? How much is in the body at any given point in time as this medication is taken over the course of time. Use the formulas, make calculation, and graph...
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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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Worksheet
Curated OER

Sequences and Series

For Students 10th
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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Lesson Plan
EngageNY

Buying a Car

For Teachers 10th - 12th Standards
Future car owners use geometric sums to calculate payments for a car loan in the 31st installment of a 35-part module. These same concepts provide the basis for calculating annuity payments.

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