Westside High School 2014-2015 Geometry Prep: Unit 2: Reasoning and Proof Stage 1 – Desired Results TEKS/SEs: G.7.A use one- and two-dimensional coordinate systems to represent points, lines, rays, line segments, and figures; Supporting Standard G.7.C [derive and] use formulas involving length, slope, and midpoint. Readiness Standard G.5.B use numeric and geometric patterns to make generalizations about geometric properties, including properties of polygons, ratios in similar figures and solids, and angle relationships in polygons and circles; Supporting Standard G.5.A use numeric and geometric patterns to develop algebraic expressions representing geometric properties; Readiness Standard G.2.A use constructions to explore attributes of geometric figures and to make conjectures about geometric relationships; and Supporting Standard G.1.C compare and contrast the structures and implications of Euclidean and non-Euclidean geometries. Supporting G.1.A Develops an awareness of the structure of a mathematical system, connecting definitions, postulates, logical reasoning, and theorems. Supporting Standard Enduring Understandings: Students will be able to analyze conditional statements and rewrite them in carious forms Students can use deductive reasoning to review logic statements Students can describe the properties used to solve algebraic equations. Essential Question(s): Student objectives (outcomes): Explain how changed SWBAT: in the conditional statement effect the real world application How can understanding logic help you in your life choices? How does understanding postulates help us solve geometric problems? How does the ability to prove angle and segment length relate to the world around us? Stage 2 – Assessment Evidence Performance Task(s) and Other Evidence: Formative SO2.2 SO 2.5 Exit Ticket Math Quick Write Summative (Attach copy) Quiz 2.1, Quiz 2.2, section on Unit 3 Exam Quiz 2.2, section on Unit 3 Exam Stage 3 – Learning Plan DIFFERENTIATION (I-3) There are several ways to individualize instruction for your students How will I scaffold and/or accelerate learning? For whom? How will I group my students? SCAFFOLD: Will not start the differentiation process until beginning of 3 rd week of school when 2 exit tickets and a quiz has been gathered. ACCELERATE: There will always be extension puzzles; challenges question cards, and worksheets accessible to my faster learners. Also enlisting them in the anchor chart making process or helping other students will also increase the rigor because being able to teach or explain a concept to another person demonstrates true mastery of an objective. GROUP: Exit ticket scores will dictate what needs to be retaught whole group or small group. Will try to start pulling small groups on block days, buts if not conducive with planning, will circulate during independent practice time to my Tier 3 students and also pull them from small group tutorials during lunch. Day 1: 9.22.14 Day 2: 9.23.14 Day 3: 9.24.14 & 9.25.14 Day 4: 9.26.14 Day 5: 9.29.14 Day 6: 9.30.14 Day 7: 10.1.14 10.2.14 Day 8: 10.3.14 3.1 – Identifying Pairs of Lines and Angles HW- WS 3.1 3.1 – Identifying Pairs of Lines and Angles HW- WS 3.1 3.2 – Use of Parallel Lines and Transversals Do First (10 min) o Essential Question Post-it Notes Stations!!! Students will participate in rotating stations to prepare for assessment and preview Unit 3 material o Slope Station o Combining Like Terms Station o Isolating the variable station o Order of Operations Station o Conditional Statement Station o Reason Using Properties from Algebra Homework: Review WS 3.2 and 3.2 B, HW from the week Quiz/Spiral Day Students will demonstrate mastery on Unit 2 skills via Unit 2 Extended Quiz Students will also have an Algebra Basic Skills Section on Extended Quiz to spiral in important Algebra skills Review – Test #3 Warm Up Quiz 3.1-3.2 Test #3 3.4 Slope, Slope of Parallel & Perpendicular Lines HW WS 3.4 Fall Holiday