WOODLAND HILLS HIGH SCHOOL LESSON PLAN SAS and Understanding By Design Template Name Witon Date 1-26-15 Length of Lesson 15 days Content Area Algebra 3 Edline was updated this week: Yes My class website was updated this week: Yes STAGE I – DESIRED RESULTS LESSON TOPIC: BIG IDEAS: Logarithms Properites MM11.D.1.1.1 Analyze a set of data for the existence of a pattern and represent the pattern algebraically and/or graphically. UNDERSTANDING GOALS (CONCEPTS): Students will understand: the term logarithm to solve for a variable that appears as an exponent.They will explore the relationship between exponents and logarithms, and they they will use logarithms with two special bases, base 10 or common and base e or natural. Students will be able to apply the Change of Base Formula to rewrite a logarithm using a different base, and they apply appropriate formulas to solve problems involving exponential growth and deca VOCABULARY: change of base formula, common logarithm, exponential decay, exponential equation, exponential growth, logarithm, natural base, e, Properties of Logarithm PERFORMANCE TASK: Students will participate in class discussions, guided practice, computer work, and activities M11.D.3.1.1 Identify, describe and/or use constant or varying rates of change. ESSENTIAL QUESTIONS: What are logarithms? What are the properties of logarithms? How are exponential functions and logarithms related STUDENT OBJECTIVES (COMPETENCIES/OUTCOMES): . 1) Graph exponential and logarithmic functions. 2) Identify domain and range of exponential and logarithmic functions. 3) Simplify logarithmic expressions using the common logarithm (Change-of-Base formula). 4) Simplify and evaluate logarithmic expressions using properties of logarithms. 5) Solve exponential and logarithmic equations. 6) Evaluate expressions involving the natural base and natural logarithms. 7) Use logarithms to solve problems involving exponential growth and de OTHER EVIDENCE: Students will actively participate in class examples, discussion, classwork, open ended assessments, graphic organizers, exit tickets, daily warm ups, homework, Study Island and, unit tests, quizzes, and other formative assessments. Think pair share Thumbs up Portfolio STAGE III: LEARNING PLAN INSTRUCTIONAL Do NOW will include a spiraling review of prior knowledge as well as the upcoming lesson. We will use Collins writing 1 and 2 daily Support Daily: Warm up will include a MATERIALS AND RESOURCES: reference PSSA Coach Glencoe Algebra 2 Text Calculators Computers Supplemental Materials Warm ups & Exit polls Study Island A+ Math Math Lab Truly struggling students will be referred to guidance/SAP (RTI)Small group/ flexible grouping will occur if necessary. Students will be encouraged to stay for math lab, or find help ASSIGNMENTS: Open ended question Multiple choice practice worksheets enrichment Quiz sections 10-1 and 10-2. Section 10-3 Text problems spiraling review of prior knowledge to include the upcoming lesson Daily: Check for understanding using warmup, homework, or formative assessment questioning to determine whether to continue as needed or do interventions as needed. ( model, spiral scaffolding, instruct/reteach, as needed) MINI LESSONS Mini lessons will vary daily based upon student needs and informal assessments. We will use Active Engagement and Scaffolding within each lesson. Examples: Exponent rules Properties of logs Convert exponents Note Taking, Modeling, Whole Class Response, Partnering, Higher Level Thinking Skills Guided Notes, Chunking, Build on prior Knowledge, Teacher Prompting, Visual Support Independence Practice: Check for understanding using practice pages and text as well as school/SAS developed activities. Summative/Formative Assessments: Quizzes as needed for understanding. Unit test is summative as well as cumulative for constant knowledge retention. Students will actively participate in class examples, discussion, class work, whiteboards, open ended assessments, graphic organizers, exit tickets, daily warm ups, homework, Study Island and, unit tests, quizzes, and other formative assessments. Reflections: Check for understanding using do now, homework, or formative assessment questioning to determine whether to continue as needed or do interventions as needed. Guided practice and Enrichment remidal work Additional materials as needed Reading vocabulary and terminology with a math teacher. Skills practice and practice sheet enrichment (Model, spiral scaffolding, instruct/teach as needed)