West Contra Costa Unified School District
Arithmetic Series
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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Patterns and Sequences
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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"Bats on Parade" by Kathy Appelt
Students examine numbers and try to find a pattern in their relationship. They write an algebraic expression for the nth term.
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Sequences and Series: Geometric Sequence
In this geometric sequence worksheet, learners find the next two terms of a geometric sequence. They identify the nth term and complete a sequence statement. Next, they find the geometric means of a given sequence. This one-page...
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Getting Familiar with Fractals
Students use the Internet to answer lab questions about fractals, and then construct fractals using the initial stage and iteration rule. They complete tables and generate rules for the "nth" term and create their own fractals.
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Exploring Infinite Sequences, Part II
In this algebra worksheet, students identify the nth term of the sequence. They find the missing term in the pattern and what theorem justifies their choice. There are 12 questions.
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Sequences, Counting and Probability - Week 4
In this sequence worksheet, students complete problems involving geometric sequences. They identify the nth term in a sequence. Students explore various positions in the Fibonacci sequence. This two-page worksheet contains eight...
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Patterns and Algebra - Modeling
Seventh grade math is so much fun! They solve 10 different problems that include using patterns to complete a table, describe the pattern, and identify the specific term in the pattern for each. Then they give a description of the...
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Finite Geometric Series
In this geometric series learning exercise, students find the nth term in a sequence. They evaluate a given geometric sequence and determine the number of terms in a geometric series. This two-page learning exercise contains 26...
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Finding Patterns and Graphing Functions
Students investigate patters for area and perimeter. In this Algebra I/Geometry lesson, students explore two different patterns as they write a formula for the nth term of each pattern. Students graph their results and determine if the...
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Geometric Series
In this geometric series worksheet, students find the nth term in a geometric series. Explanations and examples are given. This two-page worksheet contains approximately ten problems.
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You Must Know These
In this sequence worksheet, students compute the value of the nth term. They identify a convergent series. This one-page worksheet contains four problems.
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Worksheet 38 - Convergence or Divergence
In this convergence worksheet, students apply tests to determine the convergence or divergence of a series and identify the limit of a sequence of terms. This one-page worksheet contains four multi-step problems.
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Arithmetic and Geometric Progressions
For this arithmetic and geometric progressions worksheet, learners solve and complete 8 different types of progression problems. First, they determine whether each progression is arithmetic, geometric, or neither. Then, students find the...
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Exploration Sequence of Bounces
New skills are developed as students use graphing calculators and ranger technology to capture and graph the sequence of bounces a ball makes when dropped. After recording the height of four or more bounces, they use the collected data...
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Function Tables
Students practice representing problems found in the real world in terms that can be translated into mathematical expressions. The situations are represented in tables and graphs by students.
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Number Patterns and Sequences: Mental Tests
In this number patterns and sequences worksheet, students find multiples and complete terms in sequences. Answers are included on worksheet.
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Geometric Sequences or Progressions
In this Algebra II/Pre-calculus activity, students examine terms to determine if it forms a geometric sequence and, if so, determine the common ration. The one page activity contains thirty-six problems. Answers are not provided.
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Series Review Sheet
Save an infinite amount of time and enjoy this pre-made series formula guide. Arithmetic and geometric formulas are all included as well as Pascal's Triangle and examples of how the Binomial Theorem expands.
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Hop To It!
Students determine patterns. In this mathematics lesson, students act out a skit, play a sequence game, and complete patterns. Students use problems solving skills.
Willow Tree
Patterns - Numbers, Shapes, etc.
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 represents a...
Curated OER
What's Next?
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.
Virginia Department of Education
Arithmetic and Geometric Sequences and Series
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...
Bowland
Alien Invasion
Win the war of the worlds! Scholars solve a variety of problems related to an alien invasion. They determine where spaceships have landed on a coordinate map, devise a plan to avoid the aliens, observe the aliens, and break a code to...
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