WOODLAND HILLS HIGH SCHOOL LESSON PLAN SAS and Understanding By Design Template Name Michael Barlak Website Update Yes Edline Updated Yes Date 4.22.2014 Length of Lesson 14 days Content Area Algebra 1 STAGE I – DESIRED RESULTS LESSON TOPIC: BIG IDEAS: Patterns & Graphing Functions (Chapter 4) M11.D.1.1 Analyze and/or use patterns or relations. M11.D.2.1 Solve and/or graph linear equations and inequalities using various methods. UNDERSTANDING GOALS (CONCEPTS): This unit connects algebraic equations to geometric models. Students identify coordinates on the axes along with relations, functions, domain, range, and inverses. Students explore the intercepts on the axes and also from tables. They look for patterns and write equations for arithmetic sequences. VOCABULARY: graph, axis, origin, coordinate, quadrant, relation, function, linear equation, arithmetic sequence, function notation, standard form, x and y intercepts. ESSENTIAL QUESTIONS: What is a coordinate system important for locating points? How do archeologists, surveyor, and GPS systems use coordinates? How are statistics represented with relations? What can you tell about a relation or function by its graph? What are ways that scientists use linear equations ? Express how functions and mapping can be used by weathermen. What is an arithmetic sequence ? Are there other types of sequences ? Why is is important to be able to write an equation from a pattern? STUDENT OBJECTIVES (COMPETENCIES/OUTCOMES): Students will be able to: 1. Locate and graph points on the coordinate plane. (section 4-1) 2. Represent relations as ordered pairs, tables, mappings, and graphs. (section 4-3) 3. Determine the domain and range of a relation. 4. Graph a solution to an equation given its domain. 5. Determine whether or not an equation is linear and/or a function, and graph those that are. 6. Recognize arithmetic sequences and write formulae for them (section 4-7). 7. Find the next term/object in any pattern (section 4-8). (2 days review, 1 enrichment, 1 assessment ) STAGE II – ASSESSMENT EVIDENCE PERFORMANCE TASK: Students will participate in class discussions, guided practice, computer work, and whiteboard activities OTHER EVIDENCE: Students will actively participate in class examples, discussion, classwork, whiteboards, open ended assessments, graphic organizers, exit tickets, daily warm ups, homework, Study Island and, unit tests, quizzes, and other formative assessments. STAGE III: LEARNING PLAN INSTRUCTIONAL PROCEDURES: (Active Engagement, Explicit Instruction, Metacognition, Modeling, Scaffolding) Active Engagement Note Taking, Modeling, Whole Class Response, Partnering, Higher Level Thinking Skills Scaffolding Guided Notes, Chunking, Build on prior Knowledge, Teacher Prompting, Visual Support Daily: Warm up will include a 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 LESSON: 4-1 Coordinate Plane 4-1 Picture Graph 4-3 Relations 4-4Equations as Relations 4-5Graphing Linear Equations 4-6 Functions 4-7 Arithmetic Sequences 4-8 Writing Equations from Patterns MATERIALS AND RESOURCES: Unit 2 Chapter 4 : Graphing Relations and Functions ( Glencoe Text ) Unit 4 ( Algebra Rescue Text) Warm ups & Exit polls(daily) Homework (daily) Guided practice and Enrichment from Glencoe Grab & Go workbooks Curriculum Binder: Algebra 1 before books This has very good additional practice for students in these areas INTERVENTIONS: Study Island A+ Math Math Lab Keystone Diagnostic Tool National Library of Virtual Manipulatives is an excellent site for use with promethean boards for this unit. On line activities are very good in this chapter for finding a pattern and making predictions based on your observations. ASSIGNMENTS: Note: all assignment are from the same page, but different questions are assigned based on grouping by teacher. Skills Tutor 4-1 Coordinate Plane 4-1 Picture Graph 4-3 Relations 4-4Equations as Relations 4-5Graphing Linear Equations 4-5 Standard Form 4-5 Graphing using Intercepts 4-5 Finding Points 4-5 Graphing and Charting Functions 4-6 Functions 4-6 Domain and Range 4-7 Arithmetic Sequences 4-8 Writing Equations from Patterns