Algebra II
(7 Units, 80 Lessons)
Big Idea:
Detecting patterns in numbers helps students see the mathematical relationships that underlie real world phenomena. In this colorful lesson, students look at patterns of numbers and uncover the rule used to generate them.
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Big Idea:
There are easier ways to generate the 100th term of an arithmetic sequence than listing all 99 terms before it. In this lesson, students learn to work flexibly with explicit and recursive expressions of an arithmetic sequence.
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Big Idea:
There are easier ways to generate the 100th term of a geometric sequence than listing all 99 terms before it. In this lesson, students learn to work flexibly with explicit and recursive expressions of a geometric sequence.
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Big Idea:
Arithmetic and geometric sequences can be used to model real quantities and gain useful information.
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Big Idea:
Big Idea #1 Students show what they know about sequences on this quiz Big Idea #2 Sigma notation is a concise way of expressing the sum of terms.
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Big Idea:
A series is the sum of terms of a sequence.
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Big Idea:
Arithmetic sums can be used for estimation. How many seats are in a stadium? How many tiles in a work of art? What's the total profit made by a business?
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Big Idea:
The first proof in Algebra 2! Students learn to derive the formula for the sum of the first n terms of a finite geometric sequence.
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Big Idea:
Show me the money! Allow students to engage in a productive struggle with the geometric series formula by using it to model various financial situations like car loans, interest bearing accounts, and periodic savings.
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Big Idea:
Show me the money! Allow students to engage in a productive struggle with the geometric series formula by using it to model various financial situations like car loans, interest bearing accounts, and periodic savings.
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Big Idea:
Mix it up! Now I put several types of application problems together and make sure students know when to model with a sequence and when to use a series.
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Big Idea:
Help students assess their own understanding of sequences and series with a concept checklist. Students will organize and practice what they have learned about arithmetic and geometric sequences and series in preparation for the next day's test.
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Big Idea:
This is the chance for students to demonstrate that they know how to apply the concepts of sequences and series and work flexibly with the formulas.
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