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Interactive
CK-12 Foundation

Arithmetic Series Sums: Adding Arithmetic Sums

For Students 11th - Higher Ed
Sum up the shortcuts. The interactive allows pupils to discover a shortcut in finding a partial sum of an arithmetic series. Learners use the shortcut to find other sums and to verify the process.
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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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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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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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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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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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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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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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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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Worksheet
1
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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

Trigonometry Practice Series #3

For Students 7th - 12th
For 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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Lesson Plan
Curated OER

Arithmetic Sequences

For Teachers 8th - 10th
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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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

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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Activity
101 Questions

Super Stairs

For Teachers 9th - 12th Standards
Keep your classes climbing in the right direction. Young mathematicians collect data from a video presentation. Using their data, they build an arithmetic sequence and use it to make predictions.
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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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Lesson Plan
K20 LEARN

Didn’t We Already Learn That Pattern? Functions/Arithmetic Sequences

For Teachers 9th Standards
Just how many toothpicks does the pattern take? After watching a video of someone building a pattern with toothpicks, groups create methods to find the number of toothpicks needed to accomplish that task. Groups either use explicit...
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Activity
5280 Math

Polygon Polynomials

For Teachers 8th - 12th Standards
Patterns in polygons lead to patterns in polynomials. Presented with a series of polygons, individuals create polynomial expressions to represent their patterns. The algebra project consists of nine problems that incorporate polynomial...
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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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Activity
101 Questions

Pixel Pattern

For Teachers 9th - 12th Standards
Any vintage video game users in the room? Young scholars use a video presentation to analyze patterns in pixel arrangements. By writing an arithmetic sequence, they make predictions about the size of the image.
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Activity
101 Questions

Can-struction

For Students 6th - 10th Standards
Can you solve it?! A New York City art challenge involves making sculptures from cans. The task is to determine the number of cans used in the engineering award-winning sculpture. Scholars consider the patterns in the different layers to...
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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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Lesson Plan
Curated OER

Sequence Investigation

For Teachers 11th
Eleventh graders investigate arithmetic sequences.  In this Algebra II lesson, 11th graders create an arithmetic sequence and explore the effect of each variable in the formula of the nth term of an arithmetic sequence.  Students graph...
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Interactive
Curated OER

Geometric and Arithmetic Sequences

For Students 6th - 10th
In this geometry worksheet, students answer questions about geometric and arithmetic sequences. This lesson is an online interactive lesson.

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