101 Questions
Domino Skyscraper
Can a domino knock over a skyscraper? An inquiry-based lesson asks learners to calculate the size of domino needed to topple the Empire State Building. Using specific criteria and a geometric model, they find a solution.
Curated OER
Number Patterns
In this sequencing worksheet, students examine a pattern made of circles and squares. They draw the next pattern in the sequence. They tell how many circles will be in the fifth pattern, and how many squares will be in the seventh...
Noyce Foundation
Tri-Triangles
Develop an understanding of algebraic sequences through an exploration of patterns. Five leveled problems target grade levels from elementary through high school. Each problem asks young mathematicians to recognize a geometric pattern....
CK-12 Foundation
Finding the nth Term Given the Common Ratio and the First Term: Dominoes
Topple misunderstandings of geometric sequences. Using a context of creating ever-increasing sizes of dominoes, pupils develop a geometric sequence. The scenario provides the size of the first domino and the common ratio between...
Lane Community College
Review Sheets: College Algebra
A jam-packed worksheet has all the topics you would teach in an Algebra II class with a variety of question styles. Starting with function notation and ending with geometric sequences, there really is something for everyone. Each topic...
Mathematics Assessment Project
Functions
Studying function means more than simply learning a formula. Learners must use functions to think through four problems and find solutions. Each task utilizes a different concept from a study of functions. Class members might use a...
Curated OER
Patterns, Relations, and Functions: Geometric Shapes
Young scholars explore patterns involving objects or figures and geometric shapes. They identify the missing shapes in patterns and discuss what would come next in the pattern, analyze patterns using different objects, and complete a...
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.
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
Sequences and Series
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...
Curated OER
Finding Sums and Terms for Geometric and Algebraic Sequences
In this sequences activity, learners solve for the sum of ten sequences. Students solve for a specified term of the geometric or arithmetic sequence in fourteen other problems.
Curated OER
Geometric and Arithmetic Sequences
In this Algebra II/Pre-calculus worksheet, students solve advanced problems based on geometric and arithmetic sequences, including the use of sigma notation. The five page worksheet contains forty-five problems. Answers are not included.
Curated OER
Introduction to Arithmetic and Geometric Sequences
Students examine the concept of sequences. Students create a sequence using varied starting numbers, multipliers, and add on values. Students practice determining the starting values to use in order to produce a desired sequence.
Concord Consortium
Boards III
Learn to visualize mathematical patterns as a folded pattern. Beginning with a visual display, the task encourages pupils to view sequences as a folded table. The pattern of the table then becomes a formula in a spreadsheet that...
Concord Consortium
Boards IV
Build a connection between algebraic sequences and spreadsheets. Learners examine a specific folding pattern and convert the pattern into a spreadsheet. The goal of the spreadsheet is to produce a sequence of a specific pattern modeled...
West Contra Costa Unified School District
Search and Rescue Activity
Get your classes moving and practicing sequences at the same time! Learners move about the room solving problems and finding their solutions. Problems include both recursive and explicit formulas and both geometric and arithmetic sequences.
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
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
Exploration Sequence of Bounces
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...
Flipped Math
Recursive Formulas
Write formulas that depend upon previous terms. Individuals watch a video that explains how to create a recursive formula based on a sequence of numbers. Learners find out how to determine whether a sequence is geometric or arithmetic...
Shodor Education Foundation
Recursion
Perform the operation ... and then do it again. Scholars investigate recursive formulas by creating and graphing them. Using the interactive, pupils set the variable, determine the initial value, and type in a recursive formula.The...
Curated OER
Geometric Sequences and Series
In this algebra worksheet, students solve sequences using the geometric mean for sequences and series. They have to find the next number in the pattern using the formula for geometric means. There are 23 problems to be solved.
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
Infinite Geometric Series
In this geometric series worksheet, 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 worksheet contains 28...
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