Virginia Department of Education
Arithmetic and Geometric Sequences
Future mathematicians learn about arithmetic and geometric sequences, as well as common ratios and differences as they complete a worksheet matching sequences with the algebraic expressions that represent them.
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...
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...
Curated OER
Arithmetic Sequences 1.6
For this arithmetic sequences worksheet, high schoolers solve 45 short answer, multiple choice, and graphing problems. Students find the nth term of an arithmetic sequence. High schoolers solve systems of equations using elimination....
Curated OER
Honors Algebra 2 Reivew: Practice with Sequences
In this practice with sequences worksheet, learners find the arithmetic sequence and geometric sequence of given problems. They determine the percent of change and solve exponent problems. This one-page worksheet contains 11...
Curated OER
What's Next?
Teach the class how to continue a given number pattern, and have them state a rule to explain their answer. Arithmetic sequences and related worksheets are used to reinforce the concept of numerical patterns using the nthterm.
Virginia Department of Education
Growing Patterns and Sequences
Learners explore, discover, compare, and contrast arithmetic and geometric sequences in this collaborative, hands-on activity. They build and analyze growing patterns to distinguish which kind of sequence is represented by a set of data...
Inside Mathematics
Conference Tables
Pupils analyze a pattern of conference tables to determine the number of tables needed and the number of people that can be seated for a given size. Individuals develop general formulas for the two growing number patterns and...
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.
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....
5280 Math
Polygon Polynomials
Patterns in polygons lead to patterns in polynomials. Presented with a series of polygons, individuals create polynomial expressions to represent their patterns. The algebra project consists of nine problems that incorporate polynomial...
Noyce Foundation
Toy Trains
Scholars identify and continue the numerical pattern for the number of wheels on a train. Using the established pattern and its inverse, they determine whether a number of wheels is possible. Pupils finish...
Curated OER
Algebraic Processes And Its Connections To Geometry
Youngsters explore number patterns within a Hundreds Chart. They discover six specific patterns from six teacher-directed rules in cooperative groups and describe in words ONE of the three patterns in their Learning Logs. They prove for...
101 Questions
Can-struction
Can you solve it?! A New York City art challenge involves making sculptures from cans. The task is to determine the number of cans used in the engineering award-winning sculpture. Scholars consider the patterns in the different layers to...
Bowland
Patchwork Cushions
Find out if there are enough squares. Given diagrams for the first four figures in a sequence, pupils try to determine the next figure. Individuals find the number of square and triangle pieces of fabric that are required to make...
101 Questions
Toothpicks
Analyze patterns and build functions. Young scholars work on their modeling skills with an inquiry-based lesson. After watching a video presentation of the problem, they write functions and make predictions.
Curated OER
Arithmetic and Geometric Means
In this algebra worksheet, students analyze the pattern and come up with the geometric means formula in the sequence. The complete the sequence with before and after numbers in the sequence to make it complete. There are 28 questions...
Curated OER
Sequences
In this algebra worksheet, learners identify difference and common ratio in sequences. They use arithmetic and geometric ratios to solve patterns. There are 10 questions with an answer key.
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.
Scholastic
Week 19 Questions
Present your young mathematicians with a new challenge each day. Fractions on Monday, Tuesday is 2's Day, Wednesday is for squares, Thursday is 99 cents day, and by Friday it's time to deal with time. In addition, just for fun, there's a...
West Contra Costa Unified School District
Writing Exponential Functions Based on Data
Give your class a concrete example of exponential growth and decay using this hands-on activity. These Algebra II lessons allow for the exploration of exponential growth and decay models, as well as the discovery of the patterns of...
Curated OER
Recursively Defined Sequesnces
In this algebra worksheet, students solve a pattern or sequence using geometric and arithmetic formulas. There are 21 questions on 5 different sections.
Curated OER
Writing Equations Mixed Review
Students write equations based on a pattern. In this algebra lesson, students calculate the arithmetic and geometric mean of a sequence. They rewrite word problems as a linear equation and solve real life scenario based on the given data.
101 Questions
Coins in a Circle
Round and round you'll go! Learners watch as different-sized circles fill with coins. They collect data and then make a prediction about the number of coins that will fit in a large circular rug.