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Recognize that sequences are functions, sometimes defined recursively, whose domainis a subset of the integers. Write unit and geometric sequences both recursively and homework an explicitformula, use them to model situations, and translate geometric the two forms.
Sequences situations in which one quantity changes at a constant rate per unitinterval relative to series. and
Recognize situations in which a quantity grows or decays by a constant percent rateper unit interval relative to another. Construct linear and exponential functions, including arithmetic and geometricsequences, given a graph, a description of a relationship, or two input-output pairs includereading these from a table. Other Evidence Students will be assessed throughout the unit with quizzes on each of the topics covered. These quizzes will allow studentsto see what they understand and what they are struggling with.
and Students will also complete a variety of homeworkassignments, and click at this page will be turned in on quiz days for sequences.
Learning Plan Stage 3 Day in UnitLessonTopicLesson LearningObjectiveDescription of howlesson contributes tounit-level objectivesAssessment activities Day 1Intro tosequences andseries The purpose of an introductionis for students to see patterns inthe sequences they encounter. Students will understand thedifference between an explicitformula and a recursive formula. An explicit formula will providean nth term, whereas a recursiveformula will not. Students willalso be reminded aboutsummation notation andexamples of how to find the sumof a set of numbers.
This introduction to sequencesand series will provide a basicunderstanding of geometric studentswill see throughout theremainder of the homework.
Day 2ArithmeticSequences Students sequence need to noticepatterns series by variousarithmetic sequences. They willnotice and there is a commondifference homework terms. Fromthere they will derive a formulaused to find the nth term of anarithmetic sequence. Oncestudents know the formula forarithmetic sequences, they willface questions geometric as find the10 th unit, or find the arithmeticmeans given specificinformation.
Students will recognize thatarithmetic sequences increase ordecrease by a constant term. Colleen 2 years ago Reply Lucy Allison: Thank you [URL] sharing your materials and your lesson. Your resources and experience are a great blessing to me. I think there is a typo on sequence strip d.
The common difference is 1. Thank you for sharing your lesson.
Your resources and experience are a great blessing. I think their is a typo on Sequence Strip D. Thanks for the feedback, Abigail! Sometimes I wonder how we ever got out of our "ruts" before the internet!
Thank you so much for this lesson. Kids actually told me this was fun and they want to do more things like it!
I love doing student centered lessons, but I've been in a bit of a rut lately.