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In this section, students learn about sequences. Focusing on geometric and arithmetic sequences, students determine missing values, calculate growth factors and rates of change, and represent sequences using tables and graphs.
The last lesson of this section is optional. It provides activities to teach students how to use spreadsheets and graphing technology, which are useful for working with sequences and...
In this section, students learn that sequences are functions and how to use function notation to define sequences recursively. To strengthen their understanding of recursive definitions, students practice representing sequences in familiar ways with tables and graphs. Throughout this section, students exchange questions, ideas, and strategies with their classmates.
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In the final section, students study the domain of a function, explore types of equations, and write equations to define sequences given tables, visual patterns, and situations.
Students begin by moving from recursive to explicit definitions of sequences and continue making connections between sequences and functions. Students also explore how changing the domain can change the equation for the sequence,...