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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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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

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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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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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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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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Worksheet
1
1
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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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

Summations 1

For Students 11th - 12th
In this Pre-calculus worksheet, students determine the sum of the indicated number of terms of the arithmetic or geometric series.  The one page worksheet contains fifteen problems.  Answers are provided. 
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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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Worksheet
Curated OER

Seven Sequences and Series Activities

For Students 11th - Higher Ed
In this sequences and series worksheet, students complete seven activities covering arithmetic sequences, geometric sequences, and series.  Fully worked out examples, formulas, and explanations are included.
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Worksheet
Curated OER

PreCalculus Worksheet

For Students 11th - 12th
In this Pre-Calculus worksheet, students solve problems that involve determining averages and missing grades and arithmetic series. The three page worksheet contains ten problems. Answers are not provided. 
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Worksheet
Curated OER

Arithmetic Tricks

For Students 4th - 8th
In this arithmetic tricks worksheet, students learn tricks and complete problems involving exponents and multiplication x 11. Students complete 11 problems total.
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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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Worksheet
1
1
Curated OER

Geometric Sequences and Series

For Students 9th - 11th
In this algebra worksheet, students solve sequences using the geometric mean for sequences and series. They have to find the next number in the pattern using the formula for geometric means. There are 23 problems to be solved.
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Worksheet
Curated OER

Arithmetic and Geometric Sequences

For Students 11th - 12th
In this algebra instructional activity, students perform operations using arithmetic and geometric sequences and series. They find the sum, missing and repeated terms. There are 22 problems
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Lesson Plan
Curated OER

Up We Go

For Teachers 1st
First graders examine the use of number lines in problem solving situations in this series of lessons. They participate in activities in which they move forward and backward on number line on the playground before doing paper and pencil...
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Activity
1
1
Illustrative Mathematics

Complex number patterns

For Teachers 10th - 12th Standards
Start off with the definition of the imaginary number i, then have your class practice simplifying expressions involving powers of i and look for patterns. See how the cyclic nature of powers of i translate to sums of powers of i.
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Lesson Plan
Curated OER

Vectors: Follow That Arrow

For Teachers 9th - 12th
Vectors and their connection to motion. A video will be presented to provide information for the class to use methods of solving vectors with and without grids. Real-world physical concepts will be explored in reference to vectors.