Mathematics Assessment Project
Generalizing Patterns: Table Tiles
As part of a study of geometric patterns, scholars complete an assessment task determining the number of tiles needed to cover a tabletop. They then evaluate provided sample responses to see different ways to solve the same problems.
Curated OER
Geometric Sequences Puzzle
In this geometric sequences worksheet, students solve a geometric sequence puzzle. Students fill in the missing terms of various geometric sequences.
Curated OER
Toothpick Patterns
In 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...
Mathematics Assessment Project
Generating Polynomials from Patterns
Patterns and polynomials go hand in hand. Budding mathematicians analyze sequences of dot diagrams to discover the patterns in the number of white dots and black dots. They use the identified patterns to write and simplify a polynomial...
Curated OER
Patterns Everywhere!
Learners recognize and demonstrate the patterning of numbers and objects in our environment. They create a pattern using geometric shapes and find a missing number in a sequence.
Curated OER
Count on Me
Fourth graders use inductive reasoning to find algebraic patterns in geometric figures. They use technology (i.e., calculators, computers) and manipulatives to discover number patterns involving geometric concepts. They solve concrete...
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.
Curated OER
Hop To It!
Students determine patterns. In this mathematics lesson, students act out a skit, play a sequence game, and complete patterns. Students use problems solving skills.
Alabama Learning Exchange
Pattern and Practice
Young scholars learn how to make patterns. Students first display their prior knowledge of patterns before delving into the lesson. They complete a worksheet and participate in a web-based class activity. They work in cooperative groups...
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...
Mathematics Vision Project
Module 4: Linear and Exponential Functions
Sequences and series are traditionally thought of as topics for the pre-calculus or calculus class, when learners are figuring out how to develop limits. But this unit uses patterns and slopes of linear functions in unique ways to bring...
Curated OER
An Introduction to Sequences
Fourth graders are introduced to arithmetic and geometric sequences. In this mathematics lesson, 4th graders produce a variety of sequences by varying the starting number, multiplier, and the add-on number.
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 problems.
Curated OER
What's My Pattern?
Students recognize, describe and extend patterns in three activities. They organize data, find patterns and describe the rule for the pattern as well as use the graphing calculator to graph the data to make and test predictions. In the...
Curated OER
Exploring Infinite Sequences, Part II
In this algebra worksheet, students 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.
EngageNY
Successive Differences in Polynomials
Don't give your classes the third degree when working with polynomials! Teach them to recognize the successive differences and identify the degree of the polynomial. The lesson leads learners through a process to develop an understanding...
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
Seeing Dots
Your algebra learners interpret algebraic expressions, in order to compare their structures, using a geometric context. They also discern how the two expressions are equivalent and represent a pattern geometrically and algebraically.
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 use them to...
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...
EngageNY
Dividing by (x – a) and (x + a)
Patterns in math emerge from seemingly random places. Learners explore the patterns for factoring the sum and differences of perfect roots. Analyzing these patterns helps young mathematicians develop the polynomial identities.
Curated OER
Numeracy Starters
If you like to start each day with a new math challenge or warm-up, this resource is a must have. It includes 36 slides, each containing a different math challenge that stimulates algebraic reasoning, problem solving, and basic math...