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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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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 plan that covers sequence notation and function notation. Graphs are used to represent the number patterns.
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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
EngageNY

Recursive Challenge Problem—The Double and Add 5 Game

For Teachers 9th - 10th Standards
Math is all fun and games! Use a game strategy to introduce the concept of sequences and their recursive formulas. The activity emphasizes notation and vocabulary.
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Assessment
EngageNY

End-of-Module Assessment Task - Algebra 1 (Module 3)

For Students 9th - 10th Standards
Looking for higher-level thinking questions? This assessment provides questions that challenge young mathematicians to think and analyze rather than simply memorize. Topics include piecewise functions, linear modeling, exponential...
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Worksheet
Scholastic

Week 19 Questions

For Students 3rd - 5th
Present your young mathematicians with a new challenge each day. Fractions on Monday, Tuesday is 2's Day, Wednesday is for squares, Thursday is 99 cents day, and by Friday it's time to deal with time. In addition, just for fun, there's a...
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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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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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Lesson Plan
Curated OER

What's Next?

For Teachers 5th - 7th
Teach the class how to continue a given number pattern, and have them state a rule to explain their answer. Arithmetic sequences and related worksheets are used to reinforce the concept of numerical patterns using the nthterm.
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Lesson Plan
Virginia Department of Education

Relationships Round Robin

For Teachers 7th
Mathematics is all about patterns. Young mathematicians analyze geometric patterns to write algebraic expressions. They use the expressions to predict future stages of the patterns.
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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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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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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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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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Worksheet
1
1
Curated OER

Arithmetic or Geometric Series

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

Trigonometry Practice Series #3

For Students 7th - 12th
In this trigonometry learning exercise, students calculate the sum of the terms in an arithmetic and geometric series.  This two-page learning exercise contains 5 multi-step problems.  Answers are provided at the bottom of the page.
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Lesson Plan
Curated OER

Difference of Squares

For Teachers 6th - 8th
Students analyze arithmetic statements.  In this difference of squares lesson, students explore patterns and factor the difference of two squares.  They compare quantities with integers.  Students model and solve equations.
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Lesson Plan
Curated OER

Sequence Investigation

For Teachers 11th
Eleventh graders investigate arithmetic sequences.  In this Algebra II lesson, 11th graders create an arithmetic sequence and explore the effect of each variable in the formula of the nth term of an arithmetic sequence.  Students graph...
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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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Worksheet
Curated OER

Arithmetic and Geometric Series

For Students 9th - 12th
In this algebra instructional activity, students calculate the sum of a finite, geometric or arithmetic series. There are 5 multiple choice questions.
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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

Seven Advanced Algebra Problem Sets

For Students 11th - 12th
In this advanced algebra worksheet, students solve seven problem sets covering: linear equations, arithmetic sequence, slope, point-slope, median, linear system, substitution method and the elimination method. 
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Worksheet
Curated OER

Finding Sums and Terms for Geometric and Algebraic Sequences

For Students 11th - 12th
In this sequences instructional 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.