CCGPS Coordinate Algebra Day 1 (TASK 1) Wed, October 31 Unit 3 Lesson Plan LEQ Lesson Differentiation LFS How do we tell if an equation is a function? Intro to Functions: Defining Functions Given Graphs and Tables Parallel tasks – Pair-Share: Teacher demo of each concept then pair share for student practice. UEQ1: How can we use functions to represent data and information? •Definition of a function should be able to determine by definition, vertical line test, and t-table ᴥVocab and applications. •Define function notation. Summarize with Function Frayer, Linear Function GO in HW Day 2 Thurs, November 1 Day 3 Fri, November 2 How do we determine the domain and range of a function? How do we determine the value(s) of the ‘x’ and ‘y’ coordinates of a function? Functions: Domain and Range •Definition of domain & range •Determining from tables •Determining from graphs Summarize with GO and TOD at end of notes. UNIT 3 MINI QUIZ 1 ~(U3MQ1) Functions: Determining ‘x’ and ‘y’ in Context •Determining ‘x’ and ‘y’ from graphs and tables given a scenario – answers should use associated units Summarize by creating graph with appropriate labels and scale. Use of verbal, visual, and kinesthetic tests for functions Kinesthetic – may use pencil as vertical line, may mark tables where the same ‘x’ produces more than one ‘y’, may mark graph at x and y intercepts (use colored pencils or highlighters) Multiple representations of functions to promote student understanding of domain and range. Multiple representations for functions. Open-ended questions about context of functions and graphs. Complete Function Frayer KWL for functions. Pair Share after teacher demo. Start creating GO “How Do I” for domain/range, independent/dependent, continuous/discrete Pair share after teacher demo throughout lesson. CCGPS Coordinate Algebra Day 4 Mon, November 5 LEQ Lesson Differentiation LFS What is a function’s rate of change? Functions: Rate of Change Day 1 (over intervals) • REVIEW: Writing equations in slope intercept form from a table. Graph. Compare rates of change. •ROC of intervals •Increasing, decreasing over intervals Summarize with GO and integrated TOD. Voting ~U3MQ2 Return U3MQ1 and remediate most missed for student groups. KWL for slope. Functions: Rate of Change Day 2 •Warm-up: evaluating with exponents / Exponents GO •Intro growth & decay and relate to pos/neg, inc/dec, constant % change •Intro compound interest formula connecting to simple interest Summarize with GO and integrated TOD. Function: Rate of Change Day 3 – Applications Summarize with poster. CHOOSE as needed for class remediation: 1. Complete function “How do I” GO 2. Interval GO/WS Multiple representations: graphs, tables, real world problems. (Blood Drive) Tues, Nov. 6th Day 5 Wed, November 7 Day 6 Thurs, November 8 Unit 3 Lesson Plan FURLOUGH DAY How do we determine what functions have the greatest rate of change? What data and information can be represented with a function? Choice of slope formulas. GO “How Do I” for increasing / decreasing, ROC over intervals, maximum/minimum Multiple representations: ordered pairs, graphs, tables Parallel tasks. Exponents GO with lesson warm-up. Integrated GO for compound interest. Connect old knowledge of simple interest to new concept of compound interest. Teacher demo, group work and then students produce posters to present/display to class – incorporate student choice of how to represent work. Use of GO’s for review. CCGPS Coordinate Algebra Day 7 11/12 Unit 3 Lesson Plan LEQ Lesson Differentiation LFS How can I prepare for U3Q1? Unit 2 Quiz 1 REVIEW Day 1 •Students start Quiz 1 review using notes and GO’s – complete for homework. Parallel tasks in review. Use Functions Frayer and Graphic Organizes for Review. Class remediation needed based on mini quiz results: (will be different for each class) Day 8 11/13 How can I prepare for U3Q1? Unit 2 Quiz 1 REVIEW Day 2 Warm-up: Review “inventory.” - Encourage students to look at mini quiz results to determine focus of review. Day 9 (TASK 2) Have I answered the question asked and checked my calculator work? ~U3Q1 11/14 UEQ2: How can we use sequences to represent and generate data? Day 10 11/15 Arithmetic Sequences: Introduction •Definition of sequence, arithmetic – connect to the function machine (works for you) and linear functions •Represent as set of #’s and as series of pictures •Arithmetic as linear in y=mx+b Scaffolded Q’s and parallel Students show their tasks. Test will include DMR ability to answer Lesson questions from previous and Unit EQ’s units that have been remediated through daily warm-ups. Sequence frayers for arithmetic and geometric. Sequence frayers for closed and recursive. CCGPS Coordinate Algebra Day 11 11/16 Unit 3 Lesson Plan formArithmetic Sequences as Linear Functions •Arithmetic as linear in y=mx+b form •Move between the 2 formats using equations, t-tables, graphs Thanksgiving Break – November 19-23 – Thank goodness we made it! Sequences: Arithmetic Day 13 Recursive, 𝒂𝒏−𝟏 , Formula 11/26 Switch from recursive to explicit and explicit to recursive Day 14 11/27 ~U3MQ5 Day 15 11/28 Sequences: Putting it Remediation needed based Together (Review Day 1) on mini quizzes. Create a graphic organizer. •Compare two linear functions represented as a) equations b) equation and table c) equation and graph d) table and graph e) explicit sequence f) recursive sequence •Identify rates of change, intercepts, where one function is greater or less than the other in interval Sequences: Fibonacci Sequences Begin creating Arithmetic Sequences Graphic Organizer (Poster size for walls.) CCGPS Coordinate Algebra Unit 3 Lesson Plan notationReview Day 2 Day 16 11/29 Day 17 (TASK 3) 11/30 UEQ3: How can we use functions to represent and generate data? ~U3Q2 Day 18 Geometric Sequences as Exponential Functions •Move between the 2 formats using equations, t-tables, graphs •Sketch domain, end behaviors •Develop equations of asymptotes ~U3MQ6 12/3 Day 19 12/4 Day 20 12/5 Geometric Sequences: Introduction •Definition of geometric sequence – connect to growth and decay with application problems – connect to simple and compound interest problems •Represent as set of #’s and as series of pictures Sequences: Geometric Explicit, 𝒂𝒏 , Formula •Generate sequence formula from a set of numbers and from a set of pictures •Applications Sequences: Geometric Recursive, 𝒂𝒏−𝟏 , Formula Switch from recursive to Include recovery for U3Q1 Continue work on sequences graphic organizer. CCGPS Coordinate Algebra Day 21 12/6 Day 22 12/7 Unit 3 Lesson Plan explicit and explicit to recursive ~U3MQ7 Geometric Sequences: Putting it Together Day 1 Construct linear and exponential functions given a graph, 2 points, or a verbal description. Geometric Sequences: Putting it Together Day 2 Create a graphic organizer. •Compare two functions (linear and exponential) represented as tables and graphs •Identify rates of change, intercepts, where one function is greater or less than the other in interval notation Day 23 12/10 REVIEW Remediate based on mini quiz results: Day 24 12/11 ~U3Q3 Include recovery for U3Q2. (TASK 4) Will be Review for Final started after break. Review for Final Thurs, December 11 Review for Final CCGPS Coordinate Algebra Unit 3 Lesson Plan Fri, December 12 Finals Mon, December 15 Finals Tues, December 16 Finals Wed, December 17 Finals Thurs, December 18 LEQ Lesson Differentiation LFS