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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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Worksheet
Curated OER

Geometric Sequences

For Students 8th - 10th
Explore geometric sequences with this 30 problem worksheet. Upper graders determine if the sequences shown are geometric and find the common ratio. Then, given the explicit formula for a geometric sequence find the first five terms and...
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Worksheet
Curated OER

Geometric Sequences - Bacterial Growth

For Students 8th - 10th Standards
Bring algebra to life with scientific applications. Math minded individuals calculate and graph the time it takes a bacterium to double. They discuss geometric sequences and use a chart to graph their findings. There are 38 questions all...
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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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Worksheet
Curated OER

Comparing Arithmetic and Geometric Sequences

For Students 9th - 11th
For 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
EngageNY

Modeling from a Sequence

For Teachers 9th - 10th Standards
Building upon previous knowledge of sequences, collaborative pairs analyze sequences to determine the type and to make predictions of future terms. The exercises build through arithmetic and geometric sequences before introducing...
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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
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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Worksheet
Curated OER

Geometric Sequences Puzzle

For Students 9th - 12th
In this geometric sequences worksheet, students solve a geometric sequence puzzle.  Students fill in the missing terms of various geometric sequences.
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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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Worksheet
Lane Community College

Review Sheets: College Algebra

For Students 9th - 12th
A jam-packed worksheet has all the topics you would teach in an Algebra II class with a variety of question styles. Starting with function notation and ending with geometric sequences, there really is something for everyone. Each topic...
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Interactive
CK-12 Foundation

Geometric Sequences: Bacteria Colony

For Students 11th - Higher Ed Standards
Show budding mathematicians how to model a diminishing bacteria colony two ways—graphically and algebraically. Using the coordinate axis, pupils create a graph to represent the decay of a bacteria colony. They determine the number of...
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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
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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eBook
Rice University

Intermediate Algebra

For Students 9th - 12th Standards
Algebra concepts are all wrapped up in one nice bow. The resource combines all the concepts typically found in Algebra I and Algebra II courses in one eBook. The topics covered begin with solving linear equations and move to linear...
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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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Unit Plan
Mathematics Vision Project

Module 1: Sequences

For Students 8th - 10th Standards
Sequences are all about recognizing patterns. A module of 11 lessons builds pupils' understanding of sequences through pattern analysis. The practice connects the analysis to linear and exponential equations. This is the first module in...
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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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Lesson Plan
Curated OER

Geometric Sequences and Series

For Teachers 9th - 12th Standards
Learn to calculate the nth term of a sequence defined by an algebraic expression. They examine geometric sequences and series, relate geometric sequences to their explicit forms, find the partial sums of a sequence in a table, and...
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Assessment
EngageNY

Mid-Module Assessment Task - Algebra 1 (Module 3)

For Teachers 9th - 10th Standards
Having trouble finding performance task questions? Here is an assessment that uses all high-level thinking questions. It includes questions to assess sequences, linear functions, exponential functions, and increasing/decreasing intervals.
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eBook
Rice University

College Algebra

For Students 9th - Higher Ed Standards
Is there more to college algebra than this? Even though the eBook is designed for a college algebra course, there are several topics that align to Algebra II or Pre-calculus courses. Topics begin with linear equation and inequalities,...
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eBook
Rice University

Algebra and Trigonometry

For Students 10th - Higher Ed Standards
Move on into trigonometry. An informative eBook takes the content of a College Algebra course and adds more relating to trigonometry and trigonometric functions. The content organization allows pupils to build upon their learning by...
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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...