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Lesson Plan
EngageNY

Recursive Formulas for Sequences

For Students 9th - 10th Standards
Provide Algebra I learners with a logical approach to making connections between the types of sequences and formulas with a lesson that uses what class members know about explicit formulas to develop an understanding of recursive formulas.
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Instructional Video26:23
2
2
Flipped Math

Sequences

For Students 9th - 12th Standards
To say it explicitly—put the terms in order. Pupils learn about the two main sequences, arithmetic and geometric and discover the general explicit formulas for both types. Using the formulas, learners then calculate specific terms of the...
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Lesson Plan
EngageNY

Recursive Challenge Problem—The Double and Add 5 Game

For Students 9th - 10th Standards
As a continuation of a previous lesson, this activity builds on the concept of calculating the terms of a sequence. Pupils are challenged to determine the smallest starting term to reach a set number by a set number of rounds. Notation...
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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
Curated OER

Guess That Sequence!

For Teachers 3rd - 5th
Students explore number sense by completing problems in class. In this patterns lesson, students examine a group of numbers and identify what the pattern is and how it should correctly continue. Students practice utilizing number values...
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Worksheet
Curated OER

2.1 Arithmetic Series

For Students 9th - 12th
In this arithmetic series activity, students solve 30 short answer problems. Students find the sum of a given arithmetic series. Students find arithmetic means between two terms in an arithmetic 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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Lesson Plan
Virginia Department of Education

Arithmetic and Geometric Sequences and Series

For Students 9th - 12th Standards
Examine the importance of sequence and series through contextual situations. Here, learners partake in a five-day unit that begins with the basics of arithmetic and geometric sequences and series. As it progresses, pupils apply the...
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Unit Plan
Mathematics Vision Project

Module 1: Sequences

For Teachers 9th - 10th Standards
Take steps into sequences. An 11-lesson unit builds upon pupils' previous understanding of writing expressions to develop the idea of sequences. The resource explores both arithmetic and geometric sequences using recursive and explicit...
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Lesson Plan
West Contra Costa Unified School District

Search and Rescue Activity

For Students 8th - 10th Standards
Get your classes moving and practicing sequences at the same time! Learners move about the room solving problems and finding their solutions. Problems include both recursive and explicit formulas and both geometric and arithmetic sequences.
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Worksheet
1
1
Curated OER

Arithmetic and Geometric Sequences

For Students 11th
In this arithmetic and geometric sequences worksheet, 11th graders solve and complete 34 various types of problems. First, they find the described term in each sequence. Then, students complete the geometric sequences and find the value...
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Worksheet
Curated OER

Arithmetic and Geometric Sequences

For Students 11th
In this arithmetic and geometric sequences worksheet, 11th graders solve and complete 37 various types of problems. First, they determine the term of each sequence shown. Then, students find the given term number using sigma notation....
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Lesson Plan
West Contra Costa Unified School District

Geometric Sequences

For Teachers 8th - 10th Standards
Place a instructional activity on sequences in your sequence of lessons. Scholars first learn the basics of geometric sequences, such as common ratios and then they write recursive and explicit formulas for geometric sequences.
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Lesson Plan
EngageNY

Geometric Sequences and Exponential Growth and Decay

For Teachers 10th - 12th Standards
Connect geometric sequences to exponential functions. The 26th installment of a 35-part module has scholars model situations using geometric sequences. Writing recursive and explicit formulas allow scholars to solve problems in context.
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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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Lesson Plan
Curated OER

Patterns and Sequences

For Teachers 6th
Sixth graders explore pattern recognition and sequencing. They create arithmetic and geometric sequences with colors, shapes, and numbers. Students write expressions of arithmetic sequences and geometric sequences to find the nth term.
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Worksheet
Curated OER

Seven Sequences and Series Activities

For Students 11th - Higher Ed
In this sequences and series worksheet, students complete seven activities covering arithmetic sequences, geometric sequences, and series.  Fully worked out examples, formulas, and explanations are included.
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Worksheet
Curated OER

Finding Sums and Terms for Geometric and Algebraic Sequences

For Students 11th - 12th
In this sequences activity, learners solve for the sum of ten sequences.  Students solve for a specified term of the geometric or arithmetic sequence in fourteen other problems.
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Worksheet
Curated OER

Honors Algebra 2 Reivew: Practice with Sequences

For Students 9th - 11th
In this practice with sequences worksheet, students find the arithmetic sequence and geometric sequence of given problems.  They determine the percent of change and solve exponent problems.  This one-page worksheet contains 11 problems.
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Lesson Plan
TryEngineering

Recursion: Smaller Sibling Pyramids

For Teachers 3rd - 6th Standards
Get siblings to do your work. Scholars learn how to perform summations of arithmetic sequences in an innovative lesson. They use iterations, smaller siblings (tail-end recursion), and the divide-and-conquer approach.
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Worksheet
Curated OER

Family Letter - Order of Operations and Sequences

For Students 6th - 8th
In this order of operations and sequences worksheet, students solve 16 short answer problems. Students create an arithmetic sequence by adding seven to a number. Students perform operations on numbers in various order to see the...
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Interactive
Curated OER

Geometric and Arithmetic Sequences

For Students 6th - 10th
In this geometry worksheet, students answer questions about geometric and arithmetic sequences. This lesson is an online interactive lesson.
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Worksheet
1
1
Curated OER

Arithmetic or Geometric Series

For Students 11th
In this Algebra II/Trigonometry worksheet, 11th graders evaluate arithmetic and geometric series.  The two page worksheet contains ten multiple-choice problems.  Answers provided. 
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Worksheet
Curated OER

Sum of an Arithmetic Series

For Students 9th - 11th
In this algebra worksheet, students are asked to add up the integers from 1 to 100.  They use Gauss method to find the sum of this arithmetic series. There is an answer key with this problem.

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