Interactive
CK-12 Foundation

Sums of Geometric Series

For Students 11th - Higher Ed Standards
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...
Worksheet
Curated OER

Arithmetic and Geometric Sequences

For Students 11th
For this arithmetic and geometric sequences worksheet, 11th graders solve and complete 37 various types of problems. First, they determine the term of each sequence shown. Then, students find the given term number using sigma notation....
Worksheet
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Curated OER

Arithmetic and Geometric Sequences

For Students 11th
In this arithmetic and geometric sequences worksheet, 11th graders solve and complete 34 various types of problems. First, they find the described term in each sequence. Then, students complete the geometric sequences and find the value...
Lesson Plan
Willow Tree

Fibonacci and Other Sequences

For Students 8th - 11th Standards
Fibonacci is an interesting sequence that forms some unique patterns. Learners explore sequences that do not have the typical arithmetic and geometric patterns. They identify the pattern and find the next consecutive terms....
Lesson Plan
Curated OER

Geometric Sequences and Series

For Teachers 9th - 12th Standards
Learn to calculate the nth term of a sequence defined by an algebraic expression. They examine geometric sequences and series, relate geometric sequences to their explicit forms, find the partial sums of a sequence in a table, and...
Lesson Plan
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Curated OER

Sum of Infinite Geometric Series

For Teachers 9th - 12th Standards
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.
Lesson Plan
Curated OER

Arithmetic Sequences

For Teachers 8th - 10th
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.
Unit Plan
Mathematics Vision Project

Geometric Figures

For Teachers 10th - 12th Standards
Logical thinking is at the forefront of this jam-packed lesson, with young mathematicians not only investigating geometric concepts but also how they "know what they know". Through each activity and worksheet, learners wrestle with...
Activity
5280 Math

Interesting Times

For Teachers 10th - 12th Standards
Gain a little interest in functions with a real-life task. Young scholars analyze home loan data with a geometric sequence and series. They use the models to make predictions about the total loan payments at certain intervals in a...
Worksheet
Curated OER

Arithmetic Series, Geometric Series, Partial Sums of Geometric Series

For Students 11th - 12th
In this Algebra II/Pre-calculus worksheet, students solve problems that involve arithmetic series and infinite geometric.  Students determine the partial sums of a geometric series. The three page worksheet contains forty-six...
Activity
Curated OER

Triangle Series

For Teachers 9th - 12th Standards
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. 
Worksheet
Curated OER

Sequences and Series

For Students 9th - 11th
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.
Worksheet
Curated OER

Finding Sums and Terms for Geometric and Algebraic Sequences

For Students 11th - 12th
In this sequences worksheet, students solve for the sum of ten sequences.  Students solve for a specified term of the geometric or arithmetic sequence in fourteen other problems.
Worksheet
Curated OER

Sequences

For Students 11th
In this sequences worksheet, 11th graders solve and complete 10 different problems that include various sequence types. First, they find the term described in each sequence. Then, students evaluate using sigma notation. They also find...
Worksheet
Curated OER

Sequences and Series

For Students 10th
In this sequences and series worksheet, 10th graders solve and complete 13 different problems that include infinite geometric series. First, they find the sum of each infinite geometric series. Then, students find the first three terms...
Lesson Plan
Curated OER

Sequences, Counting and Probability - Week 4

For Teachers 11th - Higher Ed
In this sequence worksheet, young scholars complete problems involving geometric sequences. They identify the nth term in a sequence. Students explore various positions in the Fibonacci sequence. This two-page worksheet contains eight...
Worksheet
Curated OER

Seven Sequences and Series Activities

For Students 11th - Higher Ed
In this sequences and series worksheet, students complete seven activities covering arithmetic sequences, geometric sequences, and series.  Fully worked out examples, formulas, and explanations are included.
Instructional Video22:11
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Flipped Math

Series

For Students 9th - 12th Standards
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...
Lesson Plan
Curated OER

Finding The Sum of an Infinite Series

For Teachers 9th - 12th
Students examine finding the sum of an infinite series as the limit of partial sums. Through hands-on activities, students create their own sequence by finding the area of a square and then cutting it in half-sized pieces. They write...
Worksheet
Curated OER

Arithmetic and Geometric Sequences

For Students 11th - 12th
In this algebra worksheet, students perform operations using arithmetic and geometric sequences and series. They find the sum, missing and repeated terms. There are 22 problems
Worksheet
Curated OER

Finding the missing vales and the sums for Geometric Series

For Students 10th - 12th
In this geometric sums worksheet, students find the indicated sum of eight geometric series, the missing values of ten series, and solves for twelve addition problems related to geometric series.
Worksheet
Curated OER

Sequences - Week 8

For Students 10th - 12th
In this sequence worksheet, students find the arithmetic and geometric sum of given sequences. They identify the next number in a sequence. This three-page worksheet contains eight problems.
Lesson Plan
Curated OER

Exploration Sequence of Bounces

For Teachers 9th - 12th Standards
New skills are developed as students use graphing calculators and ranger technology to capture and graph the sequence of bounces a ball makes when dropped. After recording the height of four or more bounces, they use the collected data...
Worksheet
Curated OER

Geometric Series 2.3

For Students 9th - 11th
Learners 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...