ࡱ> rtqq` ^*bjbjqPqP 4v::^"////ll/54040404040111U5W5W5W5W5W5W5$6h89{511111{540405Y3Y3Y314040U5Y31U5Y3Y3Y340(0 d`z)/3Y33505Y39!3"9Y39Y3011Y311111{5{5C311151111D&)) FBISD Pre-AP Geometry 1st 9 weeks 2012 - 2013 MondayTuesdayWednesdayThursdayFridayAugust 27 Review prerequisite skills from Algebra I. Establish classroom norms, hand out Syllabus HW: WS Do You Remember? 28 Inductive, Deductive, Intuitive, & Counterexample Obj: Compare and contrast inductive, deductive, and intuitive reasoning. Understand and construct counterexamples. In Class: G5 Questions HW: 1-1 Patterns and Inductive Reasoning: page 6 #1-12; 17-24; 31-39 WS Kinds of Reasoning 29 2-1Conditional Statements Obj: Identify the hypothesis and conclusion of a conditional statement. Construct the converse of a conditional statement. HW: Page 83 #1-36 30 2-1 continued Obj: Identify the hypothesis and conclusion of a conditional statement. Construct the converse of a conditional statement. Add in the idea of a venn diagram. HW: Page 84 #37-52; 54-61 WS Rewriting If Then Statements For odds, write venn diagrams on the back. 31 2-2 Biconditionals & Definitions Obj: Compare and contrast biconditionals and definitions with airline round trips. Quiz over Alg. Review page 6 and Kinds of Reasoning, Conditionals & Converse HW: Page 90 # 1, 2, 6, 7-17 odd; 18-22 even; 32-38; 45; 47 WS - Big Sky Airlines September 3 Labor Day No School 4 5-4 Negate, Inverse, Contrapositive Obj: Negate statements. Identify and construct the inverse and contrapositive of a conditional statement. Determine statements that are equivalent. HW: WS Equivalent Statements Page 283 #1-9; 24-29; 34-36 Pg 85 # 53 ( Hand out Ad and conditional statement project, Due Friday)5 2-3 Deductive Reasoning & Symbolic Logic Proofs Obj: Understand and apply deductive reasoning in writing symbolic logic proofs. Work Luann puzzle in class HW: Finish WS Valid/Invalid Reasoning & Error Analysis WS Symbolic Logic Proofs 6 Chain Rule (Extension of 2-3) Obj: Apply equivalent conditional statements, law of syllogism, and the chain rule to solve logic puzzles. HW: WS Working Logic Puzzles I & II Work 3 more symbolic logic proofs7 Review for Test Obj: Review Objectives for Reasoning Test HW: Study for Test AD project Due10 Test Reasoning and Algebra Review11 1-3 Points, Lines, Planes Obj: Develop an awareness of the structure of a mathematical system, connecting definitions and postulates. HW: Page 19 #2-24 even; 30-44 even; 46-49 all; 55-60 all; 65-67 all 12 1-4 Segments, Rays, Parallel Lines and Planes Obj: Compare and contrast segments, rays, and lines. Define relationships between lines and planes. HW: Page 25 # 4-10 all; 11-35 all; 39, 44, 45 Page 20 #50-54 Assign Scavenger Hunt Due Friday???13 1-5 Measuring Segments and Subsets of Lines Obj: Find length of a segment on a number line. Integrate the terms midpoint and bisect. Apply set theory to extend knowledge of segments, rays, and lines. HW: Page 33 #1-12 all; 29-33 all; 36, 37 WS Subsets of Lines14 Obj: Review multiplying binomials and factoring quadratics. Quiz, 1-3, and 1-4. HW: WS Fun with Factoring 17 1-5 continued Obj: Connect algebraic descriptions to geometric sets of points and review factoring concepts Class Notes/HW: WS Subsets of Lines, Algebraic Connections WS Distance and Segment Measure #1-14 (work 11 & 13 as examples in class) 18 Pythagorean Theorem and Simplifying Radicals Obj: Review Pythagorean Theorem and simplifying radicals. Work an example where the sides of the rectangle are algebraic expressions HW: WS Simplifying Radical Expressions & Pythagorean Theorem WS Distance & Segment Measure #15-20 (more practice over 1-5)19 1-8 The Coordinate Plane Obj: Apply Pythagorean Theorem to find the distance between two points on the coordinate plane. Develop the midpoint formula. Emphasize that the midpoint is the average of the endpoints. HW: Page 56 #3-9 odd; 10-17 all; 19-31 odd; 41-43, 45, 48 (change directions so that answers are exact, not nearest tenth) 20 1-8 Continued Distance Formula & Pythagorean Theorem HW: WS Distance Formula & Pythagorean Theorem (work problems 11 & 13 in class) Quiz over 1-5, Subsets of Lines, factoring, Pythagorean Thm, & simplifying radicals21 Review Obj: Synthesize previous material taught for review. Review perimeter, circumference, and area. Give problems to kids as examples of the types of problems they will be responsible for in the next unit. 1-9 page 65 #6-11 all; 17-23 odd; 26, 27, 29, 31, 37, 38, 39, 47-50, 52, 53, 58-63, 66-70 HW: Study! Progress Report 24 Test Unit 1: 1-3, 4, 5, 8 and Pythagorean Theorem HW: Finish pg. 6525 1-6 Angles and 1-7 Angle Bisector (Example 4) Obj: Compare and contrast concepts for angles with concepts for segments. WS Overlapping Segments & Angles (done in class) Sample clock problems HW: Page 40 #13--40; 42-45; 47 Page 47 #9-12; 21; 25 Page 112 #12, 13; 30-3226 Complementary & Supplementary Angles Obj: Integrate algebra with measures of angle pairs. Understand and apply overlapping segment and overlapping angle theorems. Identify previous definitions, postulates, and theorems in drawing conclusions. HW: WS Comp & Supp. Angles WS Drawing Conclusions 127 Angles (continued) Obj: Integrate solving systems of equations with solving for measures of angles. Identify previous definitions, postulates, and theorems in drawing conclusions. Quiz (over assignments from section 1-9 & Sept 25) HW: WS Angle Pairs WS Drawing Conclusions 228 Segment and Angle Proofs Obj: Write flow proofs including segment and angle concepts. Introduce proofs using substitution and transitive properties. (work 2 of the 4 samples HW: WS Drawing Conclusions 3 (HW due Monday) WS Flow-proofs (substitution & transitive) #1-2(HW due next Wednesday) October 1 Segment and Angle Proofs Obj: Write flow proofs including segment and angle concepts. Work 2 more sample proofs. HW: WS - Proofs #3-52 Review for Test Go over Quiz & previous HW Obj: Identify previous definitions, postulates, and theorems in drawing conclusions. HW: WS Drawing Conclusions 4 (HW due Wednesday)3 Test 1-9 and Angles (Does Not Include Proofs) HW: Drawing Conclusions 54 3-1 Properties of Parallel Lines (angles created by transversals) Obj: Define and identify pairs of angles created by a transversal and two parallel lines. Draw conclusions given parallel lines. HW: Page 131 #1-8; 11-18; 23-25; 30-36 WS - Drawing Conclusions 5 WS Finding Angle Measures 1 5 3-2 Proving Lines Parallel || Line proofs Obj: Determine the conditions to prove two lines are parallel. Write parallel line proofs. 2 sample proofs in class 4 proofs for homework HW: Page 137 #1-8; 10-21 (identify transversal line); 24-26; 41, 43 Progress Report8 3-1 & 3-2 Continued Remember that sum of angles of a triangle is 180 Obj: Apply parallel line concepts in solving algebraic problems and in writing proofs. HW: WS Crook Problems WS Finding Angle Measures 2 Parallel Line Proofs 1-49 3-3 Parallel and Perpendicular Lines Obj: Understand and apply relationships between lines in a plane and in space. Page 143 #4-10; 14-21 WS Parallel Lines & Angles Proofs 2, 5, and 6 10 Review then quiz Quiz over || lines & angle pairs and a proof11 3-4 Parallel Lines & Triangle Angle-Sum Theorem Obj: Prove the sum of the angles of a triangle is 180 and then extend that concept to the exterior angle of a triangle. Page 150 #1-6; 10-20; 23-28; 30-32; 38 Proofs 3, 7, and 8 WS Test Review 12 3-5 The Polygon Angle-Sum Theorems Obj: Use inductive reasoning to understand the theorems about the sum of the interior and the sum of the exterior angles of convex polygons. Page 161 #8-27;32-36; 38-44; 47-53 WS 4-2 Practice & Enrichment 15 Review Obj: Synthesize previous material to create a review for the test over chapter 3. Hand out Equations of Lines Review Sheet HW: Finish test review Graphing Equations of Lines WS and pg. 177 (1-11 odd, 16, 18, 25-28, 40-43) Due Thursday 16 Test over Chapter 3 Hw: Work on Writing Equations of Lines17 PSAT Testing (10th and some 11th ) Sort Them Activity Obj: Compare and contrast four views of a function graph, table, description, and equation. Afternoon Classes: work on homework and do card match activity.18 3-6 Lines in the Coordinate Plane Obj: Graph lines using intercepts, a point and a slope, or the slope and y-intercept. 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