Unit 1: Sequences and Functions

Students revisit functions through sequences, seeing arithmetic and geometric sequences as linear and exponential functions restricted to integer domains, and represent and model situations using sequences.

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Unit

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Concept

Start with the core idea.

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Practice

Build fluency with more questions.

Set 1

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Set 2

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Advanced

Try more challenging problems.

Set 1

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Set 2

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What this unit covers

A Sequences · 4 lessons

Goals

• Determine missing terms in arithmetic and geometric sequences.
• Determine the growth factor of a geometric sequence and the rate of change of an arithmetic sequence.

Lessons

1. A Towering Sequence
2. Introducing Geometric Sequences
3. Different Types of Sequences
4. Using Technology to Work with Sequences (Optional)

B Representing Sequences · 3 lessons

Goals

• Create a table, graph, or recursive definition of a sequence from given information.

Lessons

1. Sequences Are Functions
2. Representing Sequences
3. Representing More Sequences

C What’s the Equation? · 3 lessons

Goals

• Create equations for sequences representing situations.
• Identify restrictions on the domain of a sequence based on the context.

Lessons

1. The nth Term
2. Situations and Sequence Types
3. Adding Up