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EngageNY
Modeling from a Sequence
Building upon previous knowledge of sequences, collaborative pairs analyze sequences to determine the type and to make predictions of future terms. The exercises build through arithmetic and geometric sequences before introducing...
Curated OER
Arithmetic Sequences
Twenty-eight problems, two pages, and an answer key all related to number patterns, recursive formula, and arithmetic sequence. Leaners find the next number in the pattern or sequence and determine the arithmetic formula to go with the...
Curated OER
Comparing Arithmetic and Geometric Sequences
In this algebra learning exercise, students analyze patterns and identify it as arithmetic, geometric, or neither. There are 30 questions with answers.
Curated OER
Algebra: Sequences and Patterns
For this patterns worksheet, students read the four steps to find the next three terms in a math sequence. Students find the pattern and write the next three terms in 13 problems.
West Contra Costa Unified School District
Connecting Arithmetic Sequences to Linear Equations
Common difference is to arithmetic sequences as what is to linear equations? (Answer: slope) Pupils learn how arithmetic sequences can be considered as linear patterns. They then write linear equations to represent arithmetic...
Curated OER
Numbers in a Sequence
In this algebra worksheet, students find the next number in the sequence and calculate the formula for the sequence. There are 23 questions.
Balanced Assessment
Pick a Pattern or Two
Math is all about finding patterns. In this ask, scholars first investigate a sequence formed by squaring the sum of the digits in the previous term. They go on to investigate a second sequence and write an algebraic expression for this...
Curated OER
Geometric Sequences Puzzle
For this geometric sequences worksheet, students solve a geometric sequence puzzle. Students fill in the missing terms of various geometric sequences.
Curated OER
Toothpick Patterns
For this patterning worksheet, students identify and complete 15 different patterns that include using toothpicks. First, they determine the number of toothpicks needed to create each figure in a given sequence. Then, students determine...
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
Honors Algebra 2 Reivew: Practice with Sequences
In this practice with sequences instructional activity, students find the arithmetic sequence and geometric sequence of given problems. They determine the percent of change and solve exponent problems. This one-page...
Curated OER
Exploring Infinite Sequences, Part II
In this algebra worksheet, learners identify the nth term of the sequence. They find the missing term in the pattern and what theorem justifies their choice. There are 12 questions.
Curated OER
Multiplies of 9 #2
Reinforce the multiplying by nine as a number pattern. After completing sequences of the multiples of nine, pupils decipher a pattern in the entire nine times tables. Finally, they write down any patterns that they see. A great way to...
Curated OER
Multiples of 6 #2
Count by six with these helpful activities. After completing number sequences and multiplication problems from the six times table, third graders solve problems that are written out at the bottom of the page. An excellent way to work on...
Virginia Department of Education
Relationships Round Robin
Mathematics is all about patterns. Young mathematicians analyze geometric patterns to write algebraic expressions. They use the expressions to predict future stages of the patterns.
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...
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...
Curated OER
Introduction to Algebraic Thinking
In this introduction to algebraic thinking, students perform given calculations. They draw a sequence of pictures to explain the equation. This five page worksheet contains six multi-step problems.
Curated OER
The Sequences Problem
In this Algebra I/Geometry/Algebra II worksheet, students determine what term is missing in the two given sequences. The one page worksheet has two problems with the solutions.
Inside Mathematics
Hexagons
Scholars find a pattern from a geometric sequence and write the formula for extending it. The worksheet includes a table to complete plus four analysis questions. It concludes with instructional implications for the teacher.
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...
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...
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....
Curated OER
Problem Solving Patterns
In this problem solving patterns worksheet, 6th graders solve and complete 2 various types of problems. First, they identify what the 4n represents in each block pattern illustrated. Then, students determine the number of arrows added to...