Lesson Plan
Better Lesson

Better Lesson: Geometric Sequences and Series

For Teachers 10th - 12th Standards
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]
Unit Plan
Khan Academy

Khan Academy: Sums of Consecutive Integers

For Students 7th - 8th
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.
Activity
Richland Community College

Richland Community College: Arithmetic Sequences

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

Ck 12: Analysis: Sums of Infinite Geometric Series

For Students 10th - 12th
[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.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: A Sse.4: You Tube Explosion

For Teachers 9th - 10th
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....
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Northwestern University

North Western University: Series [Pdf]

For Students 9th - 10th
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.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: A sse.b.4: Cantor Set

For Teachers 9th - 10th
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.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: A sse.b.4: Course of Antibiotics

For Teachers 9th - 10th
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.
Activity
Texas Instruments

Texas Instruments: Serious Series

For Teachers 9th - 10th Standards
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.
eBook
Mathigon

Mathigon: Algebra: Sequences: Pascal's Triangle

For Students 9th - 10th
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.
Lesson Plan
Texas Instruments

Texas Instruments: Exploring Infinite Series

For Teachers 9th - 10th Standards
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.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: A sse.b.4: A Lifetime of Savings

For Teachers 9th - 10th
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.
Interactive
Calculator Soup

Calculator Soup: Triangle Theorems Calculator

For Students 9th - 10th Standards
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.
Handout
Wolfram Research

Wolfram Math World: Power Series

For Students 9th - 10th Standards
This site gives many different summation formulas and their expansions. Very Comprehensive site
Unit Plan
Ministry of Education and Universities of the Region of Murcia (Spain)

Ministerio De Educacion Y Ciencia: Progresiones

For Students 9th - 10th Standards
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.
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Khan Academy

Khan Academy: Finite Geometric Series

For Students 9th - 10th Standards
Practice these multiple-choice problems with finite geometric series.
eBook
Mathigon

Mathigon: Algebra: Fibonacci Numbers

For Students 9th - 10th
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.
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Math Slice

Math Slice: Number Sense Math Drills

For Students 3rd - 5th Standards
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...
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.