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
CK-12 Foundation

Ck 12: Analysis: Sums of Finite Geometric Series

For Students 11th - 12th
[Free Registration/Login may be required to access all resource tools.] Calculating the sums of finite geometric series
Unit Plan
CK-12 Foundation

Ck 12: Analysis: Sums of Finite Geometric Series

For Students 10th - 12th Standards
[Free Registration/Login may be required to access all resource tools.] This lesson covers finding the sum of a geometric series using the formula and the calculator.
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.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
Math Notes and Math Tests

Pre Calculus Note: Arithmetic Sequences and Partial Sums [Pdf]

For Students 9th - 10th Standards
The tutorial discusses sequences and series. Students learn about arithmetic sequences, geometric sequences, partial sums, and infinite geometric series. The resource consists of class notes and examples with solutions.
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 learners derive the formula for the sum of a specific finite geometric series....
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.
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.
Unknown Type
Khan Academy

Khan Academy: Finite Geometric Series

For Students 9th - 10th Standards
Practice these multiple-choice problems with finite geometric series.
Unknown Type
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: 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.
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.
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.