Curated OER
Triangle Series
Your algebra learners emphasize the"geometric" in geometric series as they use a common ratio between algebraic terms and find that it corresponds to a repeated similarity transformation.
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 that covers sequence notation and function notation. Graphs are used to represent the number patterns.
Virginia Department of Education
Arithmetic and Geometric Sequences and Series
Examine the importance of sequence and series through contextual situations. Here, learners partake in a five-day unit that begins with the basics of arithmetic and geometric sequences and series. As it progresses, pupils apply the...
Curated OER
Trigonometry Practice Series #3
In this trigonometry worksheet, students calculate the sum of the terms in an arithmetic and geometric series. This two-page worksheet contains 5 multi-step problems. Answers are provided at the bottom of the page.
CK-12 Foundation
Arithmetic Series Sums: Adding Arithmetic Sums
Sum up the shortcuts. The interactive allows pupils to discover a shortcut in finding a partial sum of an arithmetic series. Learners use the shortcut to find other sums and to verify the process.
West Contra Costa Unified School District
Arithmetic Series
Fall for a series. Learners determine how to find out how far a skydiver falls in the first 20 seconds. The Algebra II lesson introduces the idea of adding up the terms of an arithmetic sequence. Pupils learn how to use Sigma notation to...
Mathematics Vision Project
Module 1: Sequences
Sequences are all about recognizing patterns. A module of 11 lessons builds pupils' understanding of sequences through pattern analysis. The practice connects the analysis to linear and exponential equations. This is the first module in...
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...
Flipped Math
Series
Add it all together. Pupils learn how Gauss was able to add the numbers from 1 to 100 so quickly and arrive at a formula to find the sum of a given number of terms of an arithmetic series. Scholars learn the formula to find the sum for a...
Curated OER
Sequences and Series
High schoolers use Excel Database to explore sequences and series. They examine how to calculate term positions and Sigma Notations. Students use Excel to calculate the values and they print the pages for grading.
Curated OER
Arithmetic Sequences
Find the sequence of an equation with your math super stars. They differentiate between arithmetic and geometric sequences and then calculate the sum of finite and infinite sequences.
Curated OER
Infinite Geometric Series
In this geometric series instructional activity, students examine a given geometric series to determine if the series converges or divergeas. They evaluate and determine the common ratio of a geometric series. This four-page...
Mathematics Vision Project
Module 4: Linear and Exponential Functions
Sequences and series are traditionally thought of as topics for the pre-calculus or calculus class, when learners are figuring out how to develop limits. But this unit uses patterns and slopes of linear functions in unique ways to bring...
Mathematics Vision Project
Module 1: Sequences
Take steps into sequences. An 11-lesson unit builds upon pupils' previous understanding of writing expressions to develop the idea of sequences. The resource explores both arithmetic and geometric sequences using recursive and explicit...
Curated OER
Sequences and Series
In this sequences and series worksheet, students find the sum of a given geometric series. They use sigma notation to express a geometric series. This one-page worksheet contains 12 problems.
Curated OER
Finite Geometric Series
In this geometric series learning exercise, students find the nth term in a sequence. They evaluate a given geometric sequence and determine the number of terms in a geometric series. This two-page learning exercise contains 26...
Curated OER
Sequences and Series: Geometric Sequence
In this geometric sequence worksheet, students find the next two terms of a geometric sequence. They identify the nth term and complete a sequence statement. Next, they find the geometric means of a given sequence. This one-page...
101 Questions
Super Stairs
Keep your classes climbing in the right direction. Young mathematicians collect data from a video presentation. Using their data, they build an arithmetic sequence and use it to make predictions.
Curated OER
Sequence Investigation
Eleventh graders investigate arithmetic sequences. In this Algebra II lesson, 11th graders create an arithmetic sequence and explore the effect of each variable in the formula of the nth term of an arithmetic sequence. Students graph...
Curated OER
The World Series Problem
In this combination instructional activity, high schoolers solve 2 short answer problems. Students determine the number of different combinations for a seven game World Series.
Curated OER
Geometric Series 2.3
Students will determine if a series of numbers are geometric, arithmetic, or neither and determine the common ratio if appropriate. In this geometric units lesson, students given a geometric series, determine the general term, and the...
Curated OER
Sigma Notation and Series
In this sigma notation and series instructional activity, 11th graders identify and complete 10 different problems that include determining the sigma notation and series of each problem. First, they determine the sequence in each given a...
Curated OER
Arithmetic or Geometric Series
In this Algebra II/Trigonometry worksheet, 11th graders evaluate arithmetic and geometric series. The two page worksheet contains ten multiple-choice problems. Answers provided.
Curated OER
2.1 Arithmetic Series
In this arithmetic series worksheet, learners solve 30 short answer problems. Students find the sum of a given arithmetic series. Learners find arithmetic means between two terms in an arithmetic sequence.
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