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...
CK-12 Foundation
Sums of Geometric Series
Geometric series either get bigger or approach a single number. So, how do you know which it is? An interactive presents three different geometric series with varying common ratios. With the aid of patterns, pupils determine values of r...
Rice University
Calculus Volume 2
Delve into the middle of calculus. The resource is the second eBook of three that covers the complete calculus content. Seven chapters begin with integrals and different methods of integration before moving on to differential equations....
Curated OER
Exploring Infinite Series
Learners analyze geometric series in detail. They determine convergence and sum of geometric series, identify a series that satisfies the alternating series test and utilize a graphing handheld to approximate the sum of a series.
Texas Instruments
Serious Series
High schoolers are introduced to infinite series, geometric and telescoping series as well as the relationship between the sequence of partial sums of a series and its sum. They apply symbolic capacity of their calculator and calculus to...
Whitman College
Calculus
Everything you wanted to know about calculus—and more! The resource is a complete Calculus textbook with explanations, examples, and practice problems.
Curated OER
Sum of an Infinite Series
In this word problem learning exercise, students solve one sum of an infinite/rate problem. The rate problem is solvable in two ways. The easiest approach is provided.
Curated OER
Infinite Series
In this math instructional activity, students examine the infinite series. They determine if it diverges or converges. Example 2 and 3 is group work to apply the tests for convergence or divergence.
Curated OER
Basic Calculus II: Quiz 8
In this infinite series worksheet, students use comparisons to determine convergence for improper integrals. They use the integral test for infinite series. Students state the reasons they believe a given integral is converging or...
Curated OER
Sum of Infinite Geometric Series
Your mathematicians solve problems using geometric series in this pre-calculus lesson. They divide a unit square into very small pieces and identify the reasoning behind the sum of a series being less than one.
Curated OER
Introduction to Series
In this Algebra II/Pre-calculus worksheet, 11th graders rewrite a series as a sum, evaluate a series, and rewrite a series using sigma notation. The two page worksheet contains 32 problems. Answers are provided.
Curated OER
Testing Infinite Series for Convergence/ Divergence
In this math worksheet, students investigate the concepts of divergence and convergence for the functions. The sheet is handwritten and has poor quality.
Curated OER
Arithmetic Series, Geometric Series, Partial Sums of Geometric Series
In this Algebra II/Pre-calculus learning exercise, learners solve problems that involve arithmetic series and infinite geometric. Students determine the partial sums of a geometric series. The three page learning exercise contains...
CK-12 Foundation
Sequence of Partial Sums: Partial Sums
Have some fun building squares out of triangles. Pupils investigate the partial sums of odd numbers. Using the sum of the first four odd numbers, learners see that it can be rewritten as a sum containing a triangular number. Simplifying...
Curated OER
Maxima and Minima Problems
Students calculate the maxima and minima of quadratic equations. For this calculus lesson, students apply the derivatives by finding the maxima and minima using real life application. They solve optimization using the derivative.
Curated OER
Worksheet 7
In this math worksheet, students examine the values of the series and determine how they could be defined as divergent. They also evaluate the Squeeze Theorem.
Curated OER
Worksheet 35
For this math worksheet, students write a problem having solution u(x, t) for each function u given. They include the lengths, physical constants, and initial conditions.
Curated OER
Infinity
High schoolers engage in a lesson that is concerned with the concept of infinity as defined in a series by geometry. The lesson integrates the use of philosophy to help them comprehend how infinity can possibly mean while investigating...
EngageNY
Integer Sequences—Should You Believe in Patterns?
Help your class discover possible patterns in a sequence of numbers and then write an equation with a lesson plan that covers sequence notation and function notation. Graphs are used to represent the number patterns.