REVISED 3/9/16 Carol Draper lesson elements for Week of 2/3/14 Grade 8 Algebra I Check all that apply: Language Arts Algebra I Social Science Science Technology Elective: 1. Common Core Learning Standards Addressed: F.IF.1 Know the definition of a function, Know the components of a function (domain, range, element, input, output) Perform the vertical line test to identify a function F.IF.2 Know that the graph of f is the graph of the equation y = f(x) Evaluate functions Use function notation. Interpret a function in context (intercepts, coefficients) F.IF.4 Given a function, identify key features in graphs and tables Sketch a graph of a function given a verbal description (ex. intercepts, end behavior) F.IF.5 Determine the practical domain of a function F.IF.7 Graph functions. Graph linear functions, show intercepts F.IF.9 Compare properties of two functions represented in different ways (algebraic, graph, table, verbal description) Functions Unit Lesson 1.8, 4.3, 4.6, 4.7, 5.1, 5.2, 5.3, 5.4 Math Practice: Standard 1: Make sense of problems & persevere on solving them (CCSS domain 1) Standard 3: Construct viable arguments & critique the reasoning of others (CCSS domain 3) 2a. Learning Targets: (What will students know & be able to do as a result of this lesson?) Essential Questions: (What will students know & be able to do as a result of this week lessons?) 2a. I can statements: Mon: The learner will graph the solution set for a given domain (Lesson 4.4) Mon: The learner will use an equation to solve and graph solutions sets Mon: I can solve and graph solution sets using equations Tues: The learner will graph linear equations (lesson 4.5) Tues.: The learner will select values for domain, make a table & graph linear equations Tues.: I can represent relations of sets, make a table and graph linear equations like this… (Demo per EXIT PASS) New Bloom’s REVISED 3/9/16 Weds.: The learner will determine if a relation is a function (lesson 4.6) Wed: The learner will represent Weds.: I can represent relations of sets using ordered relations of sets like this… pairs, tables, mapping and graphs (Demo per EXIT PASS) Thurs: The learner will determine whether a relation is a function (lesson 4.6) Thurs: The learner will identify functions, determine equations as functions Thurs: I can identify functions and equations as functions like this… (Demo per EXIT PASS) Fri.: The learner will complete a quiz and determine arithmetic sequence (lesson 4.7) Fri: The learner will complete a quiz & determine arithmetic sequence Fri: I complete a quiz with___% accuracy & determined arithmetic sequence like this… (Demo per EXIT PASS) 3. Formative Assessment Criteria for Success: (List examples in box below) Summative Assessment for Success: (How will you & your students know if they have successfully met the outcomes? What specific criteria will be met in a successful product/process? What does success on this lesson’s outcomes look like?) Monday-Friday Comments: Monday-Friday Comments: Formative (Ideas:) Thumbs up/down Exit ticket Zero to five Anecdotal notes Teacher observation Checklist Oral summary Extended Response Other: KWL, CAI, Small white boards checkpoint Summative (Suggestions:) End of Unit Test Extended Response End of Unit Project Technology quiz ---classzone Oral/visual presentation Math Discourse QUIZ Written summary DIFFERENTIATION REVISED 3/9/16 4. Gradual Release of Learning: (What learning experiences will students engage in? How will you use these learning experiences or their student products as formative assessment opportunities? How and where will you differentiate?) Focus Lesson, Guided Instruction, Collaborative Instruction, Independent Tasks Components Day 1 Mon Day 2 Tues Day 3 Wed Day 4 Thur. Day 5 Fri. of Gradual Release: JJIP (word parts & JJIP (word parts JJIP (word parts JJIP (word parts JJIP (word parts Focus Lesson context clue) and context clue) and context clue) and context and context clue) (I do) clue) Activity: Activity: Activity: 1. Present the Activity: Activity: 1. Present the 1. Present the lesson goal 1. Present the 1. Present lesson goal lesson goal and wordlist lesson goal and the lesson and wordlist and wordlist including JJIP wordlist goal and including JJIP including and warm-up including JJIP wordlist and warm-up JJIP and problems using Cornell including problems warm-up using Cornell notes to JJIP and using Cornell problems notes to determine warm-up notes on using Cornell determine whether a problems graphing a notes whether a relation is a using solution set (represent relation is a function Cornell for a given relations) function notes domain Guided Instruction (We do) 2. Launch lesson 4.4 by guiding learners in completing examples 1-4 (pg, 213 2. Launch lesson 4.5 by guiding learners in completing page 218-219 Examples # 1-4 2. Launch lesson 4.6 by guiding learners in completing page 233 maintaining your skills 2. Launch 4.6 page 226 determining relations as functions. Examples 1-3 2. Launch 4.6 page 230 Examples #4 & 5 (nonstandard & nonlinear function values) REVISED 3/9/16 Collaborative (We do together) Independent (You do) 2. Checking for understanding Pg. 214 # 1-13 Learners will move into expert groups and complete: EXP Problem # 1 # 14 2 #15 3 #20 4 #21 3. Checking for understanding #1-15 4. Divide into assigned tiered groups (will switch) Group I Page 221 #16-31 4. Checking for 3. Checking for understanding understanding Graphing page228 # 1-16 linear equations using a graphing calculator Homework: page 217 Homework page 209 # 56-76 (Maintain # 18 - 25 your skills) 4. Intro samples of arithmetic sequences and discuss patterns 5. SLC practice & update Group II graphing equations using a graphing calculator 3. direct learners to return to home team and peer teach their assigned problem 3. Page 215 # 32 -41 5. Skill practice worksheet page 259 # 1-9 Summary & I Can Summary & I Can statements (student statements (student lead) with EXIT PASS lead) with EXIT PASS 3. Checking for understanding pg. 230 #29- 37 odd 5. Page 225 exercise # 1-15 5. Assign # 17-28 Summary & I Can (student lead) statements with EXIT PASS Summary & I Can (Student lead) statements with EXIT PASS Homework: TBA Homework: TBA Summary & I Can (Student lead) statements with EXIT PASS REVISED 3/9/16 5. Resources/Materials: (What texts, digital resources, & materials will be used in this lesson?) Day 1 Day 2 Day 3 Day 4 Notebook Notebook Notebook Notebook Textbook Textbook Textbook Textbook Computer Computer Graphing Computer Small white boards Small white boards calculators Small white board Graphing calculators Graphing Computers Graphing calculators calculators EXIT PASS EXIT PASS EXIT PASS Exit pass Day 5 Notebook Textbook Computer Small white boards Graphing calculators EXIT PASS Family Connection (How will you communicate with and extend into the home?) Parents as Partners newsletter (Chapter 4/5) check that learners are having it signed and placed in their binders Teacher Reflection: Quarter 3 Q3 Week 1: This week marks the beginning of 2nd semester. Learners will begin Chapter 8. In this chapter student will solve problems involving monomials and polynomials. We will begin by identifying monomials and connect the multiplication and division of monomials and exponents. We will need additional practice using negative exponents (new concept presented this year) and simplifying expressions. Students will be expected to apply their knowledge of multiplying and dividing monomials and polynomials to factoring polynomials in chapter 9 We will be working in groups that change frequently pending assessment of daily EXIT PASSES. During assigned independent activities learners may work with a partner, independently or with me in DI activities. This is a fun chapter and a big boost for student confidence. JJIP: I will be reviewing and re-enforcing semester 1 concepts and then moving to inference next week. Learners will practice and review the lesson next week (I will be attending a week-long conference.) Q3 week 2: This week learners will work more with polynomials. Lesson 8.5 & 8.6 which will introduce them to identifying polynomials, arranging terms in ascending and descending order, as well as adding & subtracting. Lesson have been designed to assure additional guided practice and to allow for an easy transition for the guest teacher. REVISED 3/9/16 Last week learners worked in three-tier level groups. One small group was able to gain additional assistance with difficult concepts (as reflected per data). We did have some technology difficulty that interrupted the flow of the activity. Student transition from whole group focus lesson to collaborative work was very good. I was listening for verbal justification but was also pleased with their skill in modeling their solutions and use of peer teaching. Voice volume levels remained appropriate for learning. Everyone who attempted EXIT PASSES completed them with 100% accuracy---I lost the engagement of three leaners after having to address behavioral concerns, I may have waited to long and should have sent them to a Buddy room but I was striving to keep them in class. LOOKING AHEAD: Complete cyber-bullying lessons DI book study—chapter 1 is complete-- moving to Chapter 2-4 Update SLC artifacts Q3 Week 4: Learners have completed their study of polynomials and now they will begin to study functions. In prior chapters, they learned that a relation is a set of ordered pairs. Now they will see that a relation can also be presented as a table, graph, or a mapping. Mapping will demonstrate how each element of the domain is paired with elements of the range using arrows. Students will identify ordered pairs, variables, relations, functions, the domain and range as well as the inverse of a relation. Students will explore graphing linear relations using intercepts and tables This unit of study incorporates lessons from various chapters as it is aligned to CCSS. Learners will review and practice previous chapters in preparation for ISAT per classzone and independent study groups. The daily use of exit pass data reflects learners are reaching their goals but they experience difficulty applying multiple concepts on formal assessments. The pacing is very rigorous. Q3 Week 5: