Unit 10 - Exponential Graphing Day 1 Day 2 M&M Activity (shared Use a table and the folders) graphing calculator to identify end behaviors of linear and exponential functions Notation: x→ +∞, 𝑓(𝑥) →? ? 𝑥 → −∞, 𝑓(𝑥) →? ? *Discuss constraints Day 6 Use a table, graph, equation, situation and set of values to determine arithmetic/linear, geometric/exponential sequence Day 7 Write arithmetic sequence in slope intercept form after calculating the yintercept Day 3 Identify patterns given a sequence and table of values (linear, exponential, recursive, Fibonacci sequence, etc) Identify patterns given a sequence of pictures Day 8 Write geometric sequences in exponential form 𝑦 = 𝑎 ∙ 𝑏 𝑥−1 Honors: Neither as an option for sequences Day 4 Write an arithmetic function rule based on a pattern ie 𝑓(3) = 𝑓(2)+? Day 12 Apply shifts and growth factors of arithmetic and geometric sequences without technology (sketch functions) Day 13 Filler Day Transition to 𝑓(𝑛) = 𝑓(𝑛 − 1) ∗ ? Transition to 𝑓(𝑛) = 𝑓(𝑛 − 1)+? Day 9 Given an equation determine what the numerical values mean. (slope, yintercept, beginning values, growth factor, coefficients) Day 10 Discussion with growth factors Day 14 Review for Test Day 15 Test Continue to write arithmetic/ geometric function rules based on information given (table, graph, sequence, etc) Day 11 Explore and find patterns using technology to determine shifting and growth factors of arithmetic and geometric sequences (transformations) Day 5 Write an geometric function rule based on a pattern ie 𝑓(3) = 𝑓(2) ∗? *Note in purple and highlighted reflect missed Common Core Standards ie: a penny doubled a day vs. a set amount of money, folding paper, etc. *Discuss factors, exponents, coeffients Unit 10 - Exponential Graphing Day 1 Warm-Up of Writing linear eqtns from table & graph Day 2 Identifying linear vs. exponential growth and decay with tables and graphs Day 3 Write exponential functions from tables and graphs. Day 4 Write exponential functions from situations M&M Activity (shared folders) Discussion with growth factors ** Discussion of (growth vs. decay) constant growth being linear, vs what does non-linear growth look like *Discuss factors, exponents, coeffients Day 6 Quiz Day 5 Given a graph, table, or situation write an exponential or linear equation *Discuss constraints ie: a penny doubled a day vs. a set amount of money, folding paper, etc. Day 7 What is a sequence? Day 8 Write arithmetic sequences Day 9 Write geometric sequences Use a table, graph, equation, situation and set of values to determine arithmetic/linear, geometric/exponenti al sequence Day 9B Honors: Recursively defined arithmetic sequences Could non-honors do this? Honors: Neither as an option for sequences Day 9C Honors: Recursively defined geometric sequences Could non-honors do this? Day 10 Graphing review Day 11 Apply shifts and growth factors to arithmetic/linear, geometric/expone ntial sequences without technology Day 12 Apply shifts and growth factors to arithmetic/linear, geometric/expon ential sequences with technology Day 14 Test *Note in purple and highlighted reflect missed Common Core Standards Day 13 Review for Test