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Handout
Curated OER

Series Review Sheet

For Students 9th - 12th Standards
Save an infinite amount of time and enjoy this pre-made series formula guide. Arithmetic and geometric formulas are all included as well as Pascal's Triangle and examples of how the Binomial Theorem expands. 
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Lesson Plan
Curated OER

Hop To It!

For Teachers 4th - 5th
Students determine patterns. In this mathematics lesson, students act out a skit, play a sequence game, and complete patterns. Students use problems solving skills.
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Instructional Video22:11
2
2
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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AP Test Prep
College Board

2009 AP® Calculus BC Free-Response Questions Form B

For Students 10th - 12th
Let them eat cake. The free-response questions from an AP® Calculus BC exam cover several topics that include finding the area under a curve within the context of creating a birthday cake. Calculus concepts include finding rates of...
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AP Test Prep
College Board

2003 AP® Calculus BC Free-Response Questions Form B

For Students 10th - 12th
Be integral to the learners in the classroom. Pupils use integrals, differentiation, and limits to solve the free-response questions from an AP® Calculus BC exam. Items cover topics such as area under a curve, particle motion, average...
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eBook
Rice University

Intermediate Algebra

For Students 9th - 12th Standards
Algebra concepts are all wrapped up in one nice bow. The resource combines all the concepts typically found in Algebra I and Algebra II courses in one eBook. The topics covered begin with solving linear equations and move to linear...
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AP Test Prep
College Board

AP® Calculus: Special Focus - Infinite Series

For Teachers 10th - 12th
Read a series to develop an understanding of series. The special focus professional development on infinite series consists of eight articles. Articles contain information strictly for teachers along with aspects to incorporate into the...
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Activity
5280 Math

Interesting Times

For Teachers 10th - 12th Standards
Gain a little interest in functions with a real-life task. Young scholars analyze home loan data with a geometric sequence and series. They use the models to make predictions about the total loan payments at certain intervals in a useful...
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Activity
101 Questions

The Incredible Shrinking Dollar

For Teachers 9th - 12th Standards
Make money disappear! Young scholars watch as a copier shrinks a dollar bill to 75 percent of its size. Learners are left to determine the size of the dollar bill after nine passes through the copier.
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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
Noyce Foundation

Fractured Numbers

For Students K - 12th Standards
Don't use use a fraction of the resource — use it all! Scholars attempt a set of five problem-of-the-month challenges on fractions. Levels A and B focus on creating fractions and equivalent fractions, while Levels C, D, and E touch on...
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Lesson Plan
Virginia Department of Education

Arithmetic and Geometric Sequences and Series

For Students 9th - 12th Standards
Examine the importance of sequence and series through contextual situations. Here, learners partake in a five-day unit that begins with the basics of arithmetic and geometric sequences and series. As it progresses, pupils apply the...
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Lesson Plan
EngageNY

An Application of Linear Equations

For Teachers 8th Standards
Just how far will the Facebook post go? Lead a discussion on how to manipulate the sum of a geometric series to figure out a formula to find the sum at any step. The plan contains an alternative to the discussion with more accessible...
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Assessment
EngageNY

End-of-Module Assessment Task - Algebra 2 (Module 3)

For Teachers 10th - 12th Standards
The last installment of a 35-part series is an assessment task that covers the entire module. It is a summative assessment, giving information on how well pupils understand the concepts in the module.
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Lesson Plan
1
1
EngageNY

Buying a House

For Teachers 10th - 12th Standards
There's no place like home. Future home owners investigate the cost of buying a house in the 33rd installment of a 35-part module. They come to realize that the calculations are simply a variation of previous formulas involving car loans...
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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
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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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
Curated OER

Patterning Lesson Plan

For Teachers Pre-K - 1st Standards
Open the eyes of young mathematicians to the patterns that are found everywhere in the world around them. After a shared reading of I See Patterns by Linda Benton, children complete a series of hands-on activities that teach them how to...
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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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Lesson Plan
1
1
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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Lesson Plan
Curated OER

Worksheet 39 - Convergence or Divergence

For Teachers Higher Ed
For this convergence worksheet, students use given tests to determine the convergence or divergence of a series. This one-page worksheet contains 30 problems.
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Lesson Plan
Curated OER

Worksheet 31 - Infinite Sum

For Teachers Higher Ed
In this infinite sum worksheet, students identify an infinite geometric series, and use the Riemann sum. This one-page worksheet contains 6 multi-step problems.
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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...