National Security Agency
Growing Patterns: Practical Pattern Problems
Your learners explore growing patterns by describing, extending, creating, and evaluating practical pattern problems in this three-day collaborative unit. Beginning with concrete patterns and function tables to extend and describe with a...
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...
Mathematics Assessment Project
Generalizing Patterns: The Difference of Two Squares
After completing an assessment task where they express numbers as the difference of squares (i.e., 9 = 5^2 – 4^2), class members note any patterns that they see in the problems.
Scholastic
Adding and Subtracting Ten
Developing fluency with basic addition and subtraction is fundamental to the success of all young mathematicians. This four-day lesson series begins with learners using ten-frames and hundreds charts to recognize patterns when adding and...
Balanced Assessment
Dot Patterns
Use geometric patterns to teach your class how to write functions. The assessment task has scholars consider a pattern of dots to draw the next picture of the pattern. Pupils then analyze the pattern, which helps them develop a function...
Balanced Assessment
Stick Patterns
Sticks and stones may break my bones, but these sticks will make me smarter. Pupils examine arrays of sticks to determine the next array in a pattern. They use the number of sticks added to each previous array to determine a recursive...
PreKinders
Snowmen Pattern Block Mat
Snowmen don't have to be three stacked circles! Practice geometry skills with a holiday-themed pattern block mat that features two smiling snowmen.
Illustrative Mathematics
Coins in a Circular Pattern
What starts as a basic question of division and remainders quickly turns abstract in this question of related ratios and radii. The class works to surround a central coin with coins of the same and different values, then develops a...
Curated OER
Pattern Recognition
In this pattern recognition worksheet, students determine which shape comes next in nine strips of shapes and then draw that shape on the line provided.
Curated OER
Ocean Exploration: Shapes and Patterns Under the Sea
So many shapes in our vast oceans. Young explorers can discover new shapes in a variety of ways in this lesson. One way is having free exploration with a pattern shape kit handed out by the teacher. Another is by viewing a video, Ocean...
Curated OER
Problem Solving of Patterns
Fifth graders use a software program to practice their problem solving skills. As a class, they identify patterns in their days at school and review problem solving patterns in math. They solve different problems and discover that the...
Illustrative Mathematics
Complex number patterns
Start off with the definition of the imaginary number i, then have your class practice simplifying expressions involving powers of i and look for patterns. See how the cyclic nature of powers of i translate to sums of powers of i.
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.
Inside Mathematics
Two Solutions
Many problems in life have more than one possible solution, and the same is true for advanced mathematics. Scholars solve seven problems that all have at least two solutions. Then three higher-level thinking questions challenge them to...
Curated OER
Patterns
In this Algebra I worksheet, 9th graders explore number and geometric patterns and use the Sieve of Eratosthenes to find the prime numbers less than one hundred. The six page worksheet contains eight multipart questions. Answers are...
Curated OER
Shapes, Patterns, and Plants
Students imagine they are animals in the Palace Facade painting. In this Palace Facade lesson plan, students observe and discuss the geometric and organic shapes in the painting shown to them.
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.
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....
Bowland
Three of a Kind
One is chance, two is a coincidence, three's a pattern. Scholars must determine similarities and differences of a regular hexagon undergoing dilation. They look at lengths, angles, areas, and symmetry.
Mathematics Assessment Project
Sidewalk Patterns
Sidewalk patterns ... it's definitely not foursquare! Learners investigate patterns in sidewalk blocks, write an expression to represent the pattern, and then solve problems using the expressions.
CK-12 Foundation
Sequence: The Sequence Calculator
Work through a sequence in discovering number patterns. Using the interactive, pupils explore arithmetic and geometric sequences by setting the initial value and the common difference or ratio. Learners distinguish between the two types...
Curated OER
Geometric & Arithmetic Patterns
Eighth graders explore sequences. They discuss the difference between an arithmetic sequence and a geometric pattern. Students participate in workstation activities where they determine arithmetic or geometric patterns and predict the...
Curated OER
Extending Geometric and Numeric Patterns
Young scholars study patterns. They construct growing patterns using pattern blocks and isosceles right triangles. They verbally describe the patterns and state the rule that describes the relationship involving the number of pattern...
Curated OER
Look for Patterns: Quilts in Two Faith Ringgold Stories
Author Faith Ringgold uses quilts to illustrate her books Tar Beach and Aunt Harriet's Underground Railroad. In this integrated trio of activities, young scholars read stories, identify and create patterns, and design quilt squares of...