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Better Lesson
Better Lesson: Geometric Sequences and Series
Students will be able to make use of structure on their way to deriving a formula for the sum of a geometric series. They will also gain more experience in finding the nth term of a sequence/series. Includes short video. [1:15]
Khan Academy
Khan Academy: Sums of Consecutive Integers
Practice finding the nth number in a sequence of consecutive numbers based on the sum. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
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...
CK-12 Foundation
Ck 12: Analysis: Sums of Infinite Geometric Series
[Free Registration/Login may be required to access all resource tools.] This lesson covers identifying infinite geometric series for which a sum can be determined, and finding the sum.
Illustrative Mathematics
Illustrative Mathematics: A Sse.4: You Tube Explosion
This task, commentary, and solutions, were authored by Lacey Dixon and Jonathan Utegaard of The University of Arizona. The purpose of this task is to have students derive the formula for the sum of a specific finite geometric series....
Northwestern University
North Western University: Series [Pdf]
The definition of a series is provided in a PDF document. The document also details the geometric, telescoping and harmonic series, tests for divergence, and series rules.
Illustrative Mathematics
Illustrative Mathematics: A sse.b.4: Cantor Set
This tasks requires students to explore properties of the Cantor Set, which has many uncountable points, no intervals of real numbers, and has length of zero. Aligns with A-SSE.B.4.
Illustrative Mathematics
Illustrative Mathematics: A sse.b.4: Course of Antibiotics
This task presents a real world application, prescribing a course of antibiotics. In this task, a finite geometric series is utilized. Aligns with A-SSE.B.4.
Texas Instruments
Texas Instruments: Serious Series
Students learn about geometric and telescoping series and the relationship between the sequence of partial sums of a series and its sum. They then use the CAS of their TI-89 and calculus to determine the sum of these series.
Mathigon
Mathigon: Algebra: Sequences: Pascal's Triangle
This lesson focuses on Pascal's Triangle, a number pyramid in which every cell is the sum of the two cells directly above. It contains all binomial coefficients, as well as many other number sequences and patterns.
Texas Instruments
Texas Instruments: Exploring Infinite Series
In this activity, students learn to identify geometric series. They determine if a sequence converges and also learn to calculate the sum of numbers in a geometric series.
Illustrative Mathematics
Illustrative Mathematics: A sse.b.4: A Lifetime of Savings
The purpose of this instructional task is to give students an opportunity to construct and find the value of a geometric series in a financial literacy context. Aligns with A-SSE.B.4.
Calculator Soup
Calculator Soup: Triangle Theorems Calculator
Each calculation option has sub-bullets that list the sequence of methods used in this calculator to solve for unknown angle and side values including Sum of Angles in a Triangle, Law of Sines, and Law of Cosines.
Wolfram Research
Wolfram Math World: Power Series
This site gives many different summation formulas and their expansions. Very Comprehensive site
Ministry of Education and Universities of the Region of Murcia (Spain)
Ministerio De Educacion Y Ciencia: Progresiones
This interactive unit introduces the concepts of arithmetic and geometric progression. It shows how to obtain the terms of a progression, its general term and the sum of the terms.
Khan Academy
Khan Academy: Finite Geometric Series
Practice these multiple-choice problems with finite geometric series.
Mathigon
Mathigon: Algebra: Fibonacci Numbers
This lesson focuses on Fibonacci numbers, a pattern based on the sum of the two previous numbers. It offers examples and practice exercises using some form of Fibonacci numbers.
Math Slice
Math Slice: Number Sense Math Drills
A group of topics that include counting with pictures to 20, sums to 100, finding the missing number in a sequence, multiplication, expanded and standard form, and basic computation practice with addition, subtraction, multiplication, or...
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.