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Interactive
Scholastic

Study Jams! Number Patterns

For Students 3rd - 5th Standards
Finding patterns is an essential skill for mathematicians of all ages. Follow along with Zoe as she walks step-by-step through the process of identifying and completing number patterns. Work through the Try It! problems as a whole class...
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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.
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Lesson Plan
EngageNY

Arithmetic and Geometric Sequences

For Students 9th - 10th Standards
Arithmetic and geometric sequences are linear and geometric patterns. Help pupils understand the relationship and see the connection with an activity that asks them to write the rules and classify the patterns correctly. A sorting...
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Activity
101 Questions

Pixel Pattern

For Teachers 9th - 12th Standards
Any vintage video game users in the room? Young scholars use a video presentation to analyze patterns in pixel arrangements. By writing an arithmetic sequence, they make predictions about the size of the image.
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Worksheet
Curated OER

Comparing Arithmetic and Geometric Sequences

For Students 9th - 11th
In this algebra worksheet, students analyze patterns and identify it as arithmetic, geometric, or neither.  There are 30 questions with answers.
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Worksheet
Curated OER

Arithmetic Patterns

For Students 1st - 3rd
Introduce your young math scholars to functions. Because the answer is explained at the bottom of the page, consider projecting this and covering it up until you hear the class responses. They observe a rule (in this case to add 15) and...
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Worksheet
Curated OER

Arithmetic Patterns

For Students 2nd - 4th
When one number goes in, another comes out. Scholars are introduced to math functions as they multiply, subtract, and divide numbers to get new ones. There are three functions and tables of numbers here; pupils apply the rule to each...
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Worksheet
Curated OER

Arithmetic Patterns

For Students 2nd - 3rd
Pupils experience math functions as they practice their addition and subtraction skills, and fill in each table based on a given rule. There are two columns in each of the four tables. The in column is already completed and the out...
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Interactive
CK-12 Foundation

Sums of Finite Arithmetic Series: Triangular Numbers

For Students 11th - Higher Ed
Using a slider, scholars build triangular numbers and their associated rectangles and use the geometric display to find the pattern to determine the next triangular number. They then relate that number to the area of the rectangle to...
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Lesson Plan
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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...
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Lesson Plan
West Contra Costa Unified School District

Arithmetic Series

For Teachers 9th - 12th
Fall for a series. Learners determine how to find out how far a skydiver falls in the first 20 seconds. The Algebra II lesson introduces the idea of adding up the terms of an arithmetic sequence. Pupils learn how to use Sigma notation to...
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Lesson Plan
Kenan Fellows

Dinner Party: Using Pattern Trains to Demonstrate Linear Functions

For Teachers 9th - 12th Standards
Nothing fancy here ... just your run-of-the-mill Algebra party! Learners explore the patterns of linear functions while designing seating arrangements for a dinner party. Comparing the number of tables to the perimeter of the combined...
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Lesson Plan
Project Maths

Introduction to Patterns

For Teachers 6th - 8th Standards
The world is full of patterns. Help learners quantify those patterns with mathematical representations. The first Algebra lesson in a compilation of four uses a series of activities to build the concept of patterns using multiple...
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Lesson Plan
K20 LEARN

Didn’t We Already Learn That Pattern? Functions/Arithmetic Sequences

For Teachers 9th Standards
Just how many toothpicks does the pattern take? After watching a video of someone building a pattern with toothpicks, groups create methods to find the number of toothpicks needed to accomplish that task. Groups either use explicit...
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Lesson Plan
West Contra Costa Unified School District

Connecting Arithmetic Sequences to Linear Equations

For Teachers 8th - 10th Standards
Common difference is to arithmetic sequences as what is to linear equations? (Answer: slope) Pupils learn how arithmetic sequences can be considered as linear patterns. They then write linear equations to represent arithmetic sequences...
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Worksheet
Curated OER

Arithmetic Sequences

For Students 9th - 11th
Twenty-eight problems, two pages, and an answer key all related to number patterns, recursive formula, and arithmetic sequence. Leaners find the next number in the pattern or sequence and determine the arithmetic formula to go with the...
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Lesson Plan
Curated OER

Arithmetic Sequences

For Teachers 8th - 10th
Find the sequence of an equation with your math super stars. They differentiate between arithmetic and geometric sequences and then calculate the sum of finite and infinite sequences.
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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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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.
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Unit Plan
Mathematics Vision Project

Module 3: Arithmetic and Geometric Sequences

For Teachers 8th - 10th Standards
Natural human interest in patterns and algebraic study of function notation are linked in this introductory unit on the properties of sequences. Once presented with a pattern or situation, the class works through how to justify...
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Lesson Plan
Curated OER

Geometric & Arithmetic Patterns

For Teachers 8th
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...
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Lesson Plan
Curated OER

Patterns Here, There, and Everywhere!

For Teachers 4th - 6th
Upper graders access the Microsoft Word program and create patterns by utilizing certain keys on the keyboard. They create picket fences, smiley faces, and hearts. It seems that this lesson has as much to do with keyboarding skills as it...
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Lesson Plan
Alabama Learning Exchange

Pattern and Practice

For Teachers K - 3rd Standards
Young scholars learn how to make patterns. Students first display their prior knowledge of patterns before delving into the instructional activity. They complete a worksheet and participate in a web-based class activity. They work in...
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Worksheet
Curated OER

Arithmetic Sequences 1.6

For Students 9th - 12th
For this arithmetic sequences worksheet, students solve 45 short answer, multiple choice, and graphing problems. Students find the nth term of an arithmetic sequence. Students solve systems of equations using elimination. Students find...

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