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.
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.
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...
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...
CK-12 Foundation
Sums of Finite Arithmetic Series: Triangular Numbers
Using a slider, scholars build triangular numbers and their associated rectangles and use the geometric display to find the pattern to determine the next triangular number. They then relate that number to the area of the rectangle to...
CK-12 Foundation
Sum Notation and Properties of Sigma: Cracking the Code
Help your class develop an understanding of sigma notation. Pupils match the sigma notation with the sums. Using the expanded sums, learners evaluate the summations. The scholars move on to prove a property of sums.
Curated OER
Worksheet 31 - Infinite Sum
In this infinite sum worksheet, students identify an infinite geometric series, and use the Riemann sum. This one-page worksheet contains 6 multi-step problems.
EngageNY
Angle Sum of a Triangle
Prove the Angle Sum Theorem of a triangle using parallel line and transversal angle relationships. Pupils create a triangle from parallel lines and transversals. They find angle measures to show that the angles of a triangle must total...
CK-12 Foundation
Sequence of Partial Sums: Partial Sums
Have some fun building squares out of triangles. Pupils investigate the partial sums of odd numbers. Using the sum of the first four odd numbers, learners see that it can be rewritten as a sum containing a triangular number. Simplifying...
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
Infinite Geometric Series
In this infinite geometric series worksheet, 11th graders solve and complete 33 various types of problems. First, they find the sum of the infinite geometric series for each of the given. Then, students find the range of values for each...
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
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
Trigonometry Practice Series #3
For 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.
Curated OER
Sequences and Series
Students 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
Sum of an Arithmetic Series
In this algebra worksheet, students are asked to add up the integers from 1 to 100. They use Gauss method to find the sum of this arithmetic series. There is an answer key with this problem.
Curated OER
A Lifetime of Savings
Sometimes people who seem to lead what would be considered an ordinary life do extraordinary things. Such was the case with Oseola McCarty, who donated a large sum of money for a university scholarship fund in her name. Oseala lived her...
Chapman University
e Poster
An interesting poster or handout showing Euler's number, e, as the calculated sum of an infinite series. The fractions start out large and gradually get smaller and smaller in both value and size. Shows some of the unique and fascinating...
Curated OER
Exploring Infinite Series through Baravelle Spirals
Students are introduced to the concept of convergent infinite series using a recursive geometric construction. They explore the concept of a convergent infinite series using partial sums. Students use formal calculations, visualizations,...
Curated OER
Sum of Infinite Geometric Series
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.
Curated OER
Sigma Notation and Series
For this sigma notation and series worksheet, 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 set of...
Curated OER
2.1 Arithmetic Series
In this arithmetic series activity, students solve 30 short answer problems. Students find the sum of a given arithmetic series. Students find arithmetic means between two terms in an arithmetic sequence.
Curated OER
Introduction to Series
In this Algebra II/Pre-calculus worksheet, 11th graders rewrite a series as a sum, evaluate a series, and rewrite a series using sigma notation. The two page worksheet contains 32 problems. Answers are provided.
Curated OER
Infinite Geometric Series
Eleventh graders investigate infinite geometric series. In this Algebra II lesson, 11th graders explore partial sums of geometric series, converging and diverging series, and sums of infinite geometric series. The TI-nspire handheld...