Lesson 6: Geometric Sequences #2 Objectives After representing a geometric sequence in multiple ways, students will understand that the constant ratio is a defining feature of an geometric sequence and identify it in each representation with at least ___ out of ___ correct on an exit ticket. Given a table, description, graph, or diagram, students will express a 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, constant (or common) ratio, explicit formula/equation/function, recursive formula/equation/function Common Misconceptions/struggles Operations with percentages Understand something that is decreasing by 30% is only retaining 70% of its previous value Understand that repeated multiplication can be represented using exponents Concepts Skills Material/ Suggested Assessment CCSS What students will know What students will be able to do Resource Pacing Check Point F.BF.1a: Write a Review Review MVP 3.6 ½ - 1 block function that describes Geometric sequences Represent a geometric a relationship between change by a constant sequence as a table, two quantities. ratio between each graph, and equation Determine an explicit consecutive term (common ratio is expression, a recursive between zero and 1) process, or steps for New Interpret parts of an calculation from a equation in terms of the context. context they represent Identify the common F.LE.1: Distinguish ratio of a geometric
Lesson 6: Geometric Sequences #2 Objectives After representing a geometric sequence in multiple ways, students will understand that the constant ratio is a defining feature of an geometric sequence and identify it in each representation with at least ___ out of ___ correct on an exit ticket. Given a table, description, graph, or diagram, students will express a 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, constant (or common) ratio, explicit formula/equation/function, recursive formula/equation/function Common Misconceptions/struggles Operations with percentages Understand something that is decreasing by 30% is only retaining 70% of its previous value Understand that repeated multiplication can be represented using exponents 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 Review Geometric sequences change by a constant ratio between each consecutive term New Review Represent a geometric sequence as a table, graph, and equation (common ratio is between zero and 1) Interpret parts of an equation in terms of the context they represent Identify the common ratio of a geometric MVP 3.6 ½ - 1 block
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