Interactive
CK-12 Foundation

Sum Notation and Properties of Sigma: Cracking the Code

For Students 11th - Higher Ed
Help your class develop an understanding of sigma notation. Pupils match the sigma notation with the sums. Using the expanded sums, learners evaluate the summations. The scholars move on to prove a property of sums.
Worksheet
Curated OER

Worksheet 23

For Students 11th - Higher Ed
In this math learning exercise, students practice using summation notation. Then they draw a picture of a sequence of partitions in which the mesh does not go to 0.
Unit Plan
Mathematics Vision Project

More Functions, More Features

For Teachers 10th - 12th Standards
Learners tackle a wide range of intimidating topics in this comprehensive unit that spans piecewise functions, absolute value of functions, and inverse functions (among other topics). Investigative group work alternates with more...
Unit Plan
2
2
Mathematics Vision Project

Quadratic Equations

For Teachers 10th - 12th Standards
Through a variety of physical and theoretical situations, learners are led through the development of some of the deepest concepts in high school mathematics. Complex numbers, the fundamental theorem of algebra and rational exponents...
Lesson Plan
Curated OER

Exploring the Area Under a Curve

For Teachers 9th - 12th Standards
Using TI-89, mathematicians explore and investigate Riemann sums to estimate the area under the graphs of intervals by drawing and illustrating rectangles. They review and practice the concepts of summation notation and area formulas to...
Worksheet
Curated OER

Estimating Pi as a Length

For Students Higher Ed
In this pi activity, students evaluate the curve of a quarter of a circle. They analyze the length of the curve, and explain that if the area under the curve is equal to pi, the length of the curve above is also equal to pi. Students...
Worksheet
Curated OER

Matrices

For Students 9th - 10th
In this calculus instructional activity, students practice solving equations of area and integrals. There are 14 multi-step problems.
Activity
Paul Dawkins

Paul's Online Notes: Calculus I: Summation Notation

For Students 9th - 10th
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.
Unit Plan
CK-12 Foundation

Ck 12: Analysis: Sum Notation and Properties of Sigma

For Students 10th - 12th
[Free Registration/Login may be required to access all resource tools.] An introduction to summation notation and basic operations on sigma.
Handout
Other

University of Northern Iowa: Summation Notation

For Students 9th - 10th
This site from the University of Northern Iowa explains the sigma notation and gives an example.
Handout
University of California

University of California, Davis: The Calculus Page

For Students 9th - 10th Standards
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...
Activity
Math Notes and Math Tests

Pre Calculus Notes: Sequences and Series [Pdf]

For Students 9th - 10th Standards
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.
Handout
Other

The Sigma Notation for Summation of Series

For Students 9th - 10th
Conprehensive site explaining sigma notation. Site has many formulas and a few examples
Activity
Mathematics Archives

Math Archives: Summations

For Students 9th - 10th
University of Tennessee provides this tutorial site explaining summations and how to evaluate them on a TI(85-86) calculator.