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Willow Tree

Arithmetic and Geometric Sequences

For Students 8th - 11th Standards
Old mathematicians never die; they just lose some of their functions. Studying sequences gives scholars an opportunity to use a new notation. Learners write functions to model arithmetic and geometric sequences and use them to find new...
Lesson Plan
Dick Blick Art Materials

Start with a Circle...

For Students K - 12th
The Golden Ratio. The Divine Proportion. Yup. It's math and art blended into one colorful activity. Young artists combine colored tissue paper circles and parts of circles to create geometric patterns. As a bonus, kids get to figure out...
Lesson Plan
Willow Tree

Fibonacci and Other Sequences

For Students 8th - 11th Standards
Fibonacci is an interesting sequence that forms some unique patterns. Learners explore sequences that do not have the typical arithmetic and geometric patterns. They identify the pattern and find the next consecutive terms....
Lesson Plan
Virginia Department of Education

Arithmetic and Geometric Sequences

For Teachers 7th
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.
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...
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Pennsylvania Department of Education

Analyzing Numeric and Geometric Patterns of Paper Pool

For Teachers 5th - 8th
Students use concrete and pictorial representation of geometric patterns to extend patterns. In this geometric patterns lesson plan, students identify patterns and extend them.
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
Curated OER

Hop To It!

For Teachers 4th - 5th
Students determine patterns. In this mathematics lesson, students act out a skit, play a sequence game, and complete patterns. Students use problems solving skills.
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Curated OER

Patterns, Relations, and Functions: Geometric Shapes

For Teachers 3rd - 4th
Students explore patterns involving objects or figures and geometric shapes. They identify the missing shapes in patterns and discuss what would come next in the pattern, analyze patterns using different objects, and complete a...
Lesson Plan
Willow Tree

Patterns - Numbers, Shapes, etc.

For Students 8th - 11th Standards
Find the pattern is the name of the game! Learners examine different patterns represented by numbers, shapes, and words. They must describe the pattern, predict the result in a given position, and find an equation that...
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
Curated OER

Patterns Everywhere!

For Teachers 4th - 5th
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.
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Curated OER

Cheerios Number Patterns

For Teachers 3rd - 5th
Young scholars, following a provided worksheet, use Cheerios to explore number patterns.
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Curated OER

Patterns

For Teachers 9th
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. ...
Lesson Plan
Curated OER

Tessellations: Geometric Patterns

For Teachers 7th - 12th
Students create tessellation drawings using repeating geometric shapes.
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
Scholastic

Adding and Subtracting Ten

For Teachers K - 2nd Standards
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...
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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...
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University of Colorado

Patterns and Fingerprints

For Teachers 6th - 8th Standards
Human fingerprint patterns are the result of layers of skin growing at different paces, thus causing the layers to pull on each other forming ridges. Here, groups of learners see how patterns and fingerprints assist scientists in a...
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...
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Curated OER

Representing and Extending Patterns

For Teachers Pre-K - 2nd
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...
Lesson Plan
Curated OER

Middle-East Reflections

For Teachers K - 12th
Practice symmetry and patterns with this Mid-Eastern art project. Your class will create beautiful, reflective mosaics that will brighten up the classroom! A list of necessary materials is included.
Lesson Plan
EngageNY

Understanding Three-Dimensional Figures

For Teachers 7th Standards
You can't judge a book by its cover ... or a cube structure by just one face. A creative lesson looks at the shape of several cube structures described by level slices. The 20th lesson of the 29-part series expects young mathematicians...
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...

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