Curated OER
Series Review Sheet
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.
K20 LEARN
Didn’t We Already Learn That Pattern? Functions/Arithmetic Sequences
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...
Flipped Math
Series
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...
College Board
AP® Calculus: Special Focus - Infinite Series
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...
5280 Math
Polygon Polynomials
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...
101 Questions
Can-struction
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...
101 Questions
Super Stairs
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.
West Contra Costa Unified School District
Arithmetic Series
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...
CK-12 Foundation
Sums of Finite Arithmetic Series: Triangular Numbers
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...
CK-12 Foundation
Arithmetic Series Sums: Adding Arithmetic Sums
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.
Virginia Department of Education
Arithmetic and Geometric Sequences and Series
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...
TryEngineering
Recursion: Smaller Sibling Pyramids
Get siblings to do your work. Scholars learn how to perform summations of arithmetic sequences in an innovative lesson. They use iterations, smaller siblings (tail-end recursion), and the divide-and-conquer approach.
Richland Community College
Richland Community College: Arithmetic Sequences
This is a lesson from Richland Community College on arithmetic sequences. This site provides theories and examples for working with different problems of arithmetic sequences such as calculating the Sum and Difference of an arithmetic...
Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: Arithmetic Sequences and Series
Twenty-two problems present a variety of practice working with arithmetic sequences and series. They are given with each step to the solution cleverly revealed one at a time. You can work each step of the problem then click the "View...
Other
The Manipulations of Bilinear Sequences
This site contains detailed information regarding the manipulations of bilinear sequences. Examples and formulas are included.
University of Regina (Canada)
University of Regina: Math Central: Arithmetic Sequence and Series
Three lessons on how young scholars can discover the basics of arithmetic sequences, arithmetic means, and arithmetic series. Each lesson has an overview, materials, procedures, and evaluation techniques.
Texas A&M University
Wtamu Virtual Math Lab: College Algebra: Arithmetic Sequences and Series
When you're finished with this tutorial you'll know what an arithmetic sequence is and how to perform tasks related to this type of sequence: find the nth term, write the formula for the nth term, and calculate an arithmetic series....
Oswego City School District
Regents Exam Prep Center: Arithmetic and Geometric Sequences and Series
The lesson discusses arithmetic and geometric sequences and series. The resource consists of class notes, calculator tips, examples, and practice problems with solutions. The teacher resource demonstrates the origins of the formulas.
Math Planet
Math Planet: Algebra 2: Arithmetic Sequences and Series
Provides an explanation, examples, and a video lesson all related to arithmetic sequences and series.
McGraw Hill
Glencoe Mathematics: Online Study Tool: Quiz on Arithmetic Sequences and Series
Learners display understanding of advanced mathematical concepts in Algebra II. The online quiz assesses the scholars on arithmetic sequences and series.
Other
Math Portal: Arithmetic Progressions
A mini-lesson on arithmetic progressions includes a definition, examples with solutions, and a set of interactive problems at the completion of each lesson.
CK-12 Foundation
Ck 12: Analysis: Sum Notation and Properties of Sigma
[Free Registration/Login may be required to access all resource tools.] An introduction to summation notation and basic operations on sigma.
National Council of Teachers of Mathematics
The Math Forum: Finding a Term of an Arithmetic Series
This site from the Math Forum contains a common question asked by students learning about arithmetic series which is answered by Dr. Math in a format that is understandable for all ages.
Interactive Mathematics
Interactive Mathematics: Arithmetic Progressions
A description of an arithmetic series begins this demonstration, followed by formulas and examples. A real world application is included for practice.