Mathematics Vision Project
Module 5: Features of Functions
The language and features of functions get careful treatment in a complex but doable lesson. Learners get a lot of practice really figuring out what a graph means in context, and also identifying key features of graphs. Key ideas...
Curated OER
Accomplished Practice # 5
Students predict what music from different nations sound like by creating short musical pieces based on their assumptions. Students listen to music from different cultures and describe how their musical creations differed as well as how...
Virginia Department of Education
Analyzing and Interpreting Statistics
Use measures of variance to compare and analyze data sets. Pupils match histograms of data sets to their respective statistical measures. They then use calculated statistics to further analyze groups of data and use the results to make...
Curated OER
Geometric Sequences and Series
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.
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...
Center for Mathematics and Technology
Whole Numbers: Using an Area Model to Explain Multiplication
There are many ways to work through a multiplication problem. Using an area model, kids complete several worksheets with different types of multiplication problems, including multiplying by ten, and explain how the new strategies differ...
Curated OER
Infinite Geometric Series
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...
Curated OER
Arithmetic and Geometric Sequences
In this algebra worksheet, students perform operations using arithmetic and geometric sequences and series. They find the sum, missing and repeated terms. There are 22 problems
Curated OER
Matrices
In this calculus worksheet, students practice solving equations of area and integrals. There are 14 multi-step problems.
Paul Dawkins
Paul's Online Notes: Calculus I: Summation Notation
The tutorial reviews summation notation. Topics discussed are the properties and formulas for summation notation. Class notes, definitions, and examples with detailed solutions are included. The notes are available in pdf format.
Missouri State University
Missouri State University: Introductory Statistics: Summation Notation
Provides a complete look at the mathematical summation sign. Examples of how to interpret and use the sign are presented as needed.
University of California
Uc Davis: The Algebra of Sigma (Summation) Notation
This page introduces the use of the sigma, or summation, sign. Also provides the properties of summation and gives answers to fourteen good learning exercises.
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.
Other
University of Northern Iowa: Summation Notation
This site from the University of Northern Iowa explains the sigma notation and gives an example.
Wolfram Research
Wolfram Math World: Sum
This page gives a complete discussion of the advanced applications of the summation operation in mathematics. Provides information about sigma, or summation notation, a manner of writing sums and how to manipulate them. The site also...
Texas A&M University
Wtamu Virtual Math Lab: College Algebra: Series
Using this tutorial, you'll learn to complete many tasks associated with summation, series, and sequences. Offers definitions and examples of summation notation, series, finite series, and infinite series, as well as several sample...
Mathematics Archives
Math Archives: Summations
University of Tennessee provides this tutorial site explaining summations and how to evaluate them on a TI(85-86) calculator.
Other
The Sigma Notation for Summation of Series
Conprehensive site explaining sigma notation. Site has many formulas and a few examples
![Pre Calculus Notes: Sequences and Series [Pdf] Activity](https://d15y2dacu3jp90.cloudfront.net/images/attachment_defaults/resource/large/FPO-knovation.png "Pre Calculus Notes: Sequences and Series [Pdf] Activity")
Math Notes and Math Tests
Pre Calculus Notes: Sequences and Series [Pdf]
The tutorial discusses sequences and series. Students learn about factorials, recursively defined sequences, and summation notation. The resource consists of class notes and examples with solutions.
Purple Math
Purplemath: Sequences and Series: Terminology and Notation
Explains the basic terminology and notation of sequences and series, including summation symbols, subscripts, and indices.
Wolfram Research
Wolfram Math World: Triangle Inequality
This MathWorld site gives a good explanation of triangle inequality. The reader should be familiar with summation notation.
Interactive Mathematics
Interactive Mathematics: Vital Revision for Fourier Series
Begin your studies of the Fourier Series with this lesson. It contains information on all of the essentials of getting started, including trigonometric functions, continuity, periodic functions, and more.
Math2
Math2: Series Properties
This site contains the definition of summation, the notation for summation, and operations involving summation. Some of the operations explained include algebraically separating a summation into two separate summations and changing the...
University of California
University of California, Davis: The Calculus Page
This site, from the University of California, provides several problems from beginning differential calculus, as well as beginning integral calculus. The problems can be accessed by clicking on the link, and the information provided is...