Assessment
Balanced Assessment

Dot Patterns

For Students 6th - 8th
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...
Lesson Plan
Curated OER

Matchstick Math: Using Manipulatives to Model Linear, Quadratic, and Exponential Functions

For Teachers 9th - 10th
Playing with matches (unlit, of course) becomes an engaging learning experience in this fun instructional unit. Teach pupils how to apply properties of exponential functions to solve problems. They differentiate between quadratic and...
Lesson Plan
EngageNY

Integer Sequences—Should You Believe in Patterns?

For Students 9th - 10th Standards
Help your class discover possible patterns in a sequence of numbers and then write an equation with a lesson that covers sequence notation and function notation. Graphs are used to represent the number patterns.
Lesson Plan
EngageNY

Rotations, Reflections, and Symmetry

For Teachers 9th - 10th Standards
Lead your high school class on a journey through the world of symmetry and reflections as you discuss geometric principles. Pupils differentiate between reflections and rotations, explore rotational symmetry, and investigate how to...
Lesson Plan
Mathematics Assessment Project

Generalizing Patterns: Table Tiles

For Teachers 9th - 12th Standards
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...
Lesson Plan
2
2
EngageNY

Algebraic Expressions—The Distributive Property

For Students 9th - 10th Standards
Do your classes truly understand the distributive property? Use a demonstrative lesson to represent the distributive property in various ways. Learners solidify understanding by creating a geometric pattern for distributive...
Assessment
Balanced Assessment

Stick Patterns

For Students 6th - 8th
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...
Lesson Plan
Resources for Early Childhood

Making Math Meaningful and Enjoyable

For Teachers Pre-K - K Standards
Your young learners will enjoy mathematics that is meaningful correspondence as they play their way to a deep mathematical foundation. Organized around the math standards, this appropriate sequence of conceptual, preschool...
Lesson Plan
Shodor Education Foundation

An Introduction to Arithmetic and Geometric Sequences

For Teachers 4th - 8th Standards
Help your class look for patterns as they create their own arithmetic and geometric sequences. Engage learners with an introductory discussion on sequences and use the applet to let them explore how sequences are formed. Teachers might...
Lesson Plan
Virginia Department of Education

Growing Patterns and Sequences

For Teachers 6th - 7th Standards
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...
Lesson Plan
1
1
Curated OER

Seeing Dots

For Teachers 9th - 12th Standards
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.
Lesson Plan
PBS

Patterns to the Rescue!

For Teachers 3rd - 5th Standards
Track down the Cyberchase episode that this lesson plan is associated with. Using a worksheet that is embedded in the plan, learners must find the next two numbers and shapes (a double pattern). Once these have been discovered, pupils...
Unit Plan
Mathematics Vision Project

Circles: A Geometric Perspective

For Teachers 10th - 12th Standards
Circles are the foundation of many geometric concepts and extensions - a point that is thoroughly driven home in this extensive unit. Fundamental properties of circles are investigated (including sector area, angle measure, and...
Unit Plan
National Security Agency

Growing Patterns: Practical Pattern Problems

For Teachers 4th - 5th Standards
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...
Lesson Plan
Curated OER

Create and Analyze Rectangular Patterns

For Teachers 6th - 8th
Learners explore the concept of geometric patterns. In this geometric pattern lesson, students use Microsoft Excel to explore geometric patterns. Learners analyze growth rates of pattern growth. Students create their own patterns and...
Activity
5280 Math

Triangle Area Patterns

For Teachers 8th - 10th Standards
Combine algebraic and geometric strategies to find solutions. The task asks learners to find the coordinates of a third vertex of a triangle to create a triangle with a specific area. The project is a set of seven problems that...
Interactive
Annenberg Foundation

Geometry 3D Shapes: Euler's Theorem

For Students 6th - 10th Standards
How do you get a theorem named after you? Euler knows what it takes! The third lesson of five asks pupils to use an interactive activity to compare the faces, vertices, and edges of seven different three-dimensional solids. They use...
Lesson Plan
Alabama Learning Exchange

Unit Circle: Special Angles—Just Know One

For Students 9th - 12th Standards
It's all about the patterns! Young scholars learn that the unit circle repeats itself in all four quadrants. Using these patterns, they evaluate the sine, cosine, and tangent of special angles.
Lesson Plan
EngageNY

Multiplying and Factoring Polynomial Expressions (part 2)

For Students 9th - 10th Standards
If you can multiply binomials, you can factor trinomials! This is the premise for a lesson on factoring. Pupils look for patterns in the binomials they multiply and apply them in reverse. Examples include leading coefficients of one...
Lesson Plan
EngageNY

Graphing Cubic, Square Root, and Cube Root Functions

For Students 9th - 10th Standards
Is there a relationship between powers and roots? Here is a instructional activity that asks individuals to examine the graphical relationship. Pupils create a table of values and then graph a square root and quadratic equation. They...
Lesson Plan
EngageNY

Multiplying and Factoring Polynomial Expressions (part 1)

For Students 9th - 10th Standards
Polynomial multiplication and factoring go hand in hand. Why not teach them together. This resource begins with an area model for distributing a monomial and then connects the process to factoring the GCF. Learners then advance to...
Lesson Plan
Curated OER

Mandalas, Polygons and Symmetry

For Teachers 9th - 11th
Students create a geometric pattern using mandalas, polygons and symmetry. In this geometry lesson, students analyze the mathematics involved in making the mandalas, including the shapes and symmetry. Students create their own mandalas...
Lesson Plan
Curated OER

Ocean Exploration: Shapes and Patterns Under the Sea

For Teachers K - 3rd
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...
Lesson Plan
Curated OER

Investigation-How Many Toothpicks?

For Teachers 7th
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.

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