Lesson 7: Explicit and recursive equations of sequences Objectives Given a table, description, graph, or diagram, students will express an arithmetic or geometric sequence using an explicit and recursive formula (**this objective will be spiraled into many lessons, students should be building on their ability to do this throughout the unit) Focused Mathematical Practices MP 4: Model with mathematics MP 7: Look for and make use of structure Vocabulary Geometric sequence, arithmetic sequence, constant ratio, constant difference, explicit formula/equation/function, recursive formula/equation/function Common Misconceptions/struggles Understanding the notation of recursive formulas Concepts Skills Material/ Suggested Assessment CCSS What students will know What students will be able to do Resource Pacing Check Point 3.7 Set #5-8 F.BF.1a: Write a Review Review MVP 3.7 1 block function that describes Geometric sequences Represent a sequence as a relationship between change by a constant a table, graph, and two quantities. ratio between each equation Determine an explicit consecutive term Interpret parts of an expression, a recursive Arithmetic sequences equation in terms of the process, or steps for change by a constant context they represent calculation from a difference between Identify the common context. each consecutive term ratio of a sequence in any New representation F.LE.1: Distinguish Defend whether between situations that something is a geometric can be modeled with or arithmetic sequence linear functions and based on its with exponential characteristics functions. Write explicit and
Lesson 7: Explicit and recursive equations of sequences Objectives Given a table, description, graph, or diagram, students will express an arithmetic or geometric sequence using an explicit and recursive formula (**this objective will be spiraled into many lessons, students should be building on their ability to do this throughout the unit) Focused Mathematical Practices MP 4: Model with mathematics MP 7: Look for and make use of structure Vocabulary Geometric sequence, arithmetic sequence, constant ratio, constant difference, explicit formula/equation/function, recursive formula/equation/function Common Misconceptions/struggles Understanding the notation of recursive formulas CCSS Concepts What students will know Skills What students will be able to do Material/ Resource Suggested Pacing Assessment Check Point F.BF.1a: Write a function that describes a relationship between two quantities. Determine an explicit expression, a recursive process, or steps for calculation from a context. F.LE.1: Distinguish between situations that can be modeled with linear functions and with exponential functions. Review Geometric sequences change by a constant ratio between each consecutive term Arithmetic sequences change by a constant difference between each consecutive term New Review Represent a sequence as a table, graph, and equation Interpret parts of an equation in terms of the context they represent Identify the common ratio of a sequence in any representation Defend whether something is a geometric or arithmetic sequence based on its characteristics Write explicit and MVP 3.7 1 block 3.7 Set #5-8
Function%20and%20Modeling%20Unit%202%20Curriculum%20Guide.docx