Common Core Mathematics Lesson Sequence Algebra 2 Disclaimer: The following sample unit is intended to provide an example of a possible flow of instruction. Consider this a work in progress. As a sample instructional plan, it should invite discussion and development. It is not intended to be prescriptive, only suggestive. It may provide ideas and guidance in the development of conceptual understanding through a sample sequence of lessons. This UNIT can be adapted, modified, expanded, delivered as-is, or not used at all. Lessons are not time bound and may extend beyond a day. It simply provides an example unit of instruction which incorporates: Integration of the 8 Mathematical Practices Investigative tasks Formative assessment and performance assessments In this unit, you will find that specific standards are NOT listed within each lesson, as lessons integrate multiple standards to better address conceptual understanding. Previous Lesson Students should have completed Algebra 1 and Geometry prior to this course. Therefore, this next UNIT builds on those prior standards of exponents, functions, and equations. Grade Level Standard(s) Central to Lesson Upcoming Concept Extend the properties of exponents to rational exponents N‐ RN 1,2 Extend the domain of the trigonometric functions using the unit circle F‐ TF 1, 2, 2.1(CA) Write expressions in equivalent forms to solve problems (exponential and logarithmic) A‐ SSE 3c, 4 Model periodic phenomena 5, 8 Represent and solve equations and Inequalities graphically(exponential and logarithmic) A‐ REI11 Interpret functions that arise in context (linear and exponential) F‐ IF 4,5 Understand the concept of a function and use function notation F‐ IF 3 Analyze function using different representations F‐ IF 7e, 8b, 9 Build a function that models a relationship between two quantities F-BF 2 Build new functions from existing functions F‐ BF 4a Construct and compare linear, quadratic and exponential models (focus on exponential and logarithmic) F‐ LE 1,2, 3, 4, 5 Rearrange formulas to highlight quantities of interest A‐ CED 4 Analyze functions using different representations (trig functions) F‐ IF 7e Common Core Mathematics Lesson Sequence Algebra 2 ALGEBRA 2 UNIT 1: Suggested Lesson Plans Weeks 1-5: approximately 25 days Topic Topic Title & Description Number Properties & Expressions: Student Team Building Activities to establish classroom expectations, 1 collaborative environment, pre-assessing, student presentations and to frontload for upcoming content. 2 Equations and Relationships: Students 3 Different Representations & Modeling Exponential Functions: Students will discover the exponential decay and growth models by expressing data relationship in tables, graphs and function notation. Materials & Resources *This activities segue to the unit content, but feel free to use your own resources. Handout: Text: Prentice Hall Mathematics-Algebra II Chapter 8. *did not have access to text to assist for section assignment, but teachers can use their best judgment to choose sections of text. Handout: Too Hot to Handle (exponential decay) Website: Too Hot to Handle : http://illuminations.nctm.org/LessonDetail.aspx?id=L852 Exponential Growth and Credit Cards Activity website: http://function-of-time.blogspot.com/2009/11/exponential-growth-andcredit-cards.html National Debt Wars (exponential growth) website: http://illuminations.nctm.org/LessonDetail.aspx?id=L670 Incredible Shrinking Dollar (exponential growth and decay) website: http://mrmeyer.com/threeacts/shrinkingdollar/ 4 Different Representations & Modeling Logarithmic Functions: Students will discover the purpose of logaritmic Handout: Logarithmic Demystified website: lluminations.nctm.org/LessonDetail.aspx?id=L817 Common Core Mathematics Lesson Sequence Algebra 2 5 Inverse Functions: Students 6 Recap, Reflection, Presentations, Assessment, etc… Teachers can choose from the four enclosed performance tasks/projects or create your own. Handout: Algebra II Unit 1 Supplemental Resources: Week 1: Unit/Problems Content Standards (CCSS) Days Too Hot to Handle (NCTM Illuminations) Week 2, 3, 4, 5: UNIT: Exponential Functions N-RN.1,2,3, ASSE.3,4*, FIF.3,7e,8b, F-BF.2,4a, F-LE.1a,1b,1c,2,3,4,5 Wolfram Alpha Real Numbers Investigation (Fred) N-RN.1,2,3 Lost in Recursion (Paul) F-IF.3 25 Common Core Mathematics Lesson Sequence Algebra 2 National Debt and Wars (NCTM Illuminations) F-IF.8c Exponential Growth and Credit Cards (Kate) F-IF.8c Aaron’s Rent-to-buy (Dan) F-IF.8c The Amazing Shrinking Dollar (Dan) F-LE.2 Falling Glowsticks (Dan)https://echo.newtechnetwork.org/?q=ntlp/groups/collections/resources/view/1322010/2 A-CED.1, BF.1, F-LE.3 16666286 Falling Rocks (Dan)https://echo.newtechnetwork.org/?q=ntlp/resource/library/view/207794931/16201 A-CED.1, BF.1, F-LE.3 Modeling: Having Kittens (MARS) F-LE.1,1a,2 Comparing Investments (MARS) A-SSE.1,1b,F-IF.7e,8b Logarithms Demystified (NCTM Illuminations) A-7e Logarithms and Reddit (Science Blogs) A-7e Extension/Differentiation/ Assessment Teacher Notes: 1. Keep in mind the Essential Questions, ten content standards, eight mathematical practice standards when planning lesson outcomes for this unit. See Scope and Sequence and Overview. 2. Use your warm-ups to frontload what is not taught explicitly in the lessons. Common Core Mathematics Lesson Sequence Algebra 2