Domain: Creating Equations Enduring Understanding(s) Vocabulary Pearson Cluster Create equations that describe Sequence, term of a sequence, arithmetic You can some sequences with a 4-7 Sequences & Functions numbers or relationships sequence, common difference function rule that you can use to find any Glencoe A-CED.A.2 Create equations in two or more term of the sequence. variables to represent relationships 3-5 Arithmetic Sequences as Linear Functions between quantities; graph equations on Writing in Math Essential Question(s) coordinate axes with labels and scales. Use the following resources to ensure that Use KNWS, SQRQCQ, or UPS√ Strategy to What information can a slope (rate of the intended outcome and level of rigor of complete Chapter 4 Performance Task 1. change) and intercept (constant term) of a Domain: Interpreting Functions the standards are met. linear model provide regarding the context of √ Cluster: Interpret functions that arise in Task(s) a situation? applications in terms of the context. TN Algebra I Task: The Speeding Ticket Objective(s): Recognize that sequences are functions, Problem Compare and Contrast You can use a – Students will identify and extend sometimes defined recursively, whose patterns in sequences. domain is a subset of the integers. For mapping diagram or the vertical line test to tell Additional Resource(s): Students will recognize that sequences example, the Fibonacci sequence is if a relation is a function. Which method do are functions, sometimes defined defined recursively by f(0) = f(1) = 1, you prefer? Explain. recursively, whose domain is a subset f(n+1) = f(n) + f(n-1) for n ≥1. of the integers. Finding the common difference of an PH Algebra I Book Page 280 arithmetic sequence Use KNWS, SQRQCQ, or UPS√ Strategy to Finding the value of the nth term an complete Tasks 1 3. arithmetic sequence Video – √
Domain: Creating Equations Cluster Create equations that describe numbers or relationships A-CED.A.2 Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales. Domain: Interpreting Functions Cluster: Interpret functions that arise in applications in terms of the context. Recognize that sequences are functions, sometimes defined recursively, whose domain is a subset of the integers. For example, the Fibonacci sequence is defined recursively by f(0) = f(1) = 1, f(n+1) = f(n) + f(n-1) for n ≥1. Enduring Understanding(s) You can some sequences with a function rule that you can use to find any term of the sequence. Essential Question(s) What information can a slope (rate of change) and intercept (constant term) of a linear model provide regarding the context of a situation? Objective(s): Students will identify and extend patterns in sequences. Students will recognize that sequences are functions, sometimes defined recursively, whose domain is a subset of the integers. Pearson 4-7 Sequences & Functions Glencoe 3-5 Arithmetic Sequences as Linear Functions Use the following resources to ensure that the intended outcome and level of rigor of the standards are met. Task(s) TN Algebra I Task: The Speeding Ticket Problem Additional Resource(s): Finding the common difference of an arithmetic sequence Finding the value of the nth term an arithmetic sequence Video Vocabulary Sequence, term of a sequence, arithmetic sequence, common difference Writing in Math Use KNWS, SQRQCQ, or UPS√ Strategy to complete Chapter 4 Performance Task 1. √ Compare and Contrast – You can use a mapping diagram or the vertical line test to tell if a relation is a function. Which method do you prefer? Explain. PH Algebra I Book Page 280 Use KNWS, SQRQCQ, or UPS√ Strategy to complete Tasks 1 – 3. √
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