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.
Curated OER
Representing and Extending Patterns
Students explore repeating and growing patterns. In this patterns instructional activity, students describe patterns, explore changing patterns and match patterns. Students participate in online activities and read books that show...
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.
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....
EngageNY
Families of Parallel Lines and the Circumference of the Earth
How do you fit a tape measure around the Earth? No need if you know a little geometry! Pupils begin by extending their understanding of the Side Splitter Theorem to a transversal cut by parallel lines. Once they identify the...
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. ...
Curated OER
Investigation-How Many Toothpicks?
Seventh graders use toothpicks to investigate a series of designs and identify patterns. Data is organized and analyzed using tables and graphs, and students make generalizations using algebraic expressions.
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...
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...
Inside Mathematics
Squares and Circles
It's all about lines when going around. Pupils graph the relationship between the length of a side of a square and its perimeter. Class members explain the origin in context of the side length and perimeter. They compare the graph to the...
Curated OER
Be Sharp and Never Flat
An outstanding lesson on music awaits your young composers! They learn about patterns found in music, the different sections of an orchestra, and see the differences between musicians and a composer. Excellent streamed videos and good...
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
Complete the Patterns
In this pattern completion instructional activity, learners observe groups of six patterns and add the final two patterns. Students complete five sets of patterns.
Curated OER
Searching for Angles and Lines
Students work to find and reinforce concepts related to lines and angles. They identify the characteristics of shapes that have one, two, and three dimensions. The students also work on definitions related to the geometry of shapes.
Curated OER
Tile Patterns I: Octagons and Squares
This can be used as a critical thinking exercise in congruence or as a teaching tool when first introducing the concept. Four octagons are arranged in such a way that a square is formed in the middle. With this information, geometry...
Teach Engineering
Discovering Relationships Between Side Length and Area
Consider the relationship between side length and area as an input-output function. Scholars create input-output tables for the area of squares to determine an equation in the first installment of a three-part unit. Ditto for the area of...
Mathematics Vision Project
Circles and Other Conics
Through a variety of hands-on activities and physical scenarios, this far-reaching unit leads learners through an exceptionally thorough exploration of circles and parabolas as conic sections. Geometric construction techniques are used...
Houghton Mifflin Harcourt
Unit 7 Math Vocabulary Cards (Grade 6)
Thirty-eight flashcards make up a set designed to reinforce math vocabulary. Two types of cards can be found here; a word card in bold lettering, and a corresponding definition card that offers a labeled example. Terms include area,...
West Contra Costa Unified School District
Pythagorean Theorem and Its Converse
Challenge scholars to prove the Pythagorean Theorem geometrically by using a cut-and-paste activity. They then must solve for the missing sides of right triangles.
Curated OER
Symmetry of the Addition Table
Help your class discover the commutative property of addition with this exploration of the addition table. By folding and coloring the table, a symmetry is found that directs students to an understanding of this crucial mathematical...
Curated OER
Looking Through the Algebraic Lens
Students work with rectangles to find generalizations for adding and subtracting odd and even numbers in part one of the lesson. In part two, students use geoboards to construct polygons, look for patterns, and find a general rule.
Curated OER
Jumping Rules
First graders practice identifying number patterns. In this basic patterns lesson, 1st graders use a large number line and jump to certain numbers to create, identify or extend a pattern. This lesson includes a script to guide the teacher.
Curated OER
Finding Sums and Terms for Geometric and Algebraic Sequences
In this sequences activity, students 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
Shapes and Introduction to Geometry
Students make a quilt. In this geometry instructional activity, students discuss patchwork quilts and learn some different geometric shapes and patterns that are commonly used. Students explore designs with triangles and squares and then...