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1st QUARTER- Calendar GEOMETRY/ALGEBRA 2 2012-2013 SCHOOL YEAR DAY DATE 1 7/23 M 2 7/24 T 3 4 5 6 7 7/25 W 7/26Th 7/27 F 7/30 M 7/31 T TOPIC Syllabus, Course Overview Textbooks 1.1 Building blocks of Geometry S4C1PO4 Apply properties, theorems, & constructions about parallel lines, perpendicular lines, & angles to prove theorems. Euclid’s 5 postulates ALGEBRA SKILLS 1: Midpoint S4C3PO1 Determine how to find the midpoint between two points in the coordinate plane. 1.2 Poolroom math (angles) *NEED PROTRACTOR S4C1PO4 Apply properties, theorems, & constructions about parallel lines, perpendicular lines & angles to prove theorems. 1.3 What’s a widget (writing definitions) S5C2PO8 Use inductive reasoning to make conjectures, use deductive reasoning to analyze & prove a valid conjecture, and develop a counterexample to refute an invalid conjecture. AND S4C1PO4 1.4 Polygons S4C1PO4 Apply properties, theorems, & constructions about parallel lines, perpendicular lines & angles to prove theorems. 1.5 Triangles and Special Quadrilaterals S4C1PO4 Apply properties, theorems, & constructions about parallel lines, perpendicular lines & angles to prove theorems. S4C1PO7 Use the hierarchy of quadrilaterals in deductive reasoning. Quiz #1: 1.1-1.5 1.6 Circles S4C1PO1 Use the basics properties of a circle (relationships between angles, radii, intercepted arcs, chords, tangents, & secants) to prove basic theorems & solve problems. Go over quiz 1.7 Using Pictures to solve problems and Activity S4C1PO4 Apply properties, theorems, & constructions about parallel lines, perpendicular lines & angles to prove theorems 1.8 Activity 1.8 Space Geometry/Nets S4C1PO2 Visualize solids & surfaces in 3-dimensional space when given 2-dimensional representations and create 2-dimensional representations for the surfaces of 3-dimensional objects Homework – Subject to change Algebra Review Packet Supplies Puzzle Paper Signatures P. 33-35 #1-33 odd P. 37 #1-8 P. 42-45 #1-35 odd, 36-38 P. 51-53 #1-31 odds P. 56-58 #1-27 odd, 35-38 P. 64-66 #1-31 odd Puzzle Paper DUE Algebra Review Packet DUE P. 70-72 #1-8, 9, 13-33 odd P. 76-77 #1-10 odd, 15, 17 P. 83-85 # 1-7 odd, 13-29 Review 1 Worksheet 8 8/1 W Chapter 1 Review Book S4C1PO5 Explore Euclid’s five postulates in the plane and their limitations. Chapter 1 Test/CLICK P. 88 #1-55 odd 9 8/2 Th 10 8/3 F 2.1 Inductive Reasoning 2.2 Deductive Reasoning S4C1PO3 Create & analyze inductive and deductive arguments concerning geometric ideas & relationships. P 96-99 #1-17odd, 23-38 NO #27 P. 103-105 #1-7 odd, 11-19 odd, & 20-33 Algebra Review 2 DUE CLICK Essay DUE 11 8/6 M 12 8/7 T Go over Chapter 1 Test 2.3 Finding the Nth Term S4C1PO3 Create & analyze inductive and deductive arguments concerning geometric ideas & relationships. ALGEBRA SKILLS 2: SLOPE review 2.4 Mathematical Modeling S4C1PO3 Create & analyze inductive and deductive arguments concerning geometric ideas & relationships. 2.5 Angle Relationships S4C1PO4 Apply properties, theorems, & constructions about parallel lines, perpendicular lines & angles to prove theorems. Converse, Inverse, Contrapositive, & Truth Values If…then statements: logical order & draw a conclusion from if…then & minor premise…ACTIVITY S5C2PO9 State the inverse, converse, & contrapositive of a given statement and state the relationship between the truth-value of these statements & the original statements. S5C2PO10 List related if…then statements in logical order. AND S5C2PO11 Draw a simple valid conclusion from a given if…then statement and a minor premise. Introduction of Proofs: Word Chains, Given to Conclusion, Beginning Proofs S4C1PO4 Apply properties, theorems, & constructions about parallel lines, perpendicular lines & angles to prove theorems. Quiz #2: 2.1-2.4 and Vocabulary 2.6 Special Angles on Parallel Lines S4C1PO4 Apply properties, theorems, & constructions about parallel lines, perpendicular lines & angles to prove theorems. 13 8/8 W 14 8/9 Th 15 8/10 F 16 8/13 M 16 8/13 M Proofs: Parallel Lines and Vertical Angles and Reasoning with Rules & Form A S4C1PO4 Apply properties, theorems, & constructions about parallel lines, perpendicular lines & angles to prove theorems. ALGEBRA SKILLS 3: Slope Review Perpendicular and Parallel – In Class WKS Go over Quiz P. 109-111 #1-7, 10-14 P. 134 #1-10 P. 115-117 #1-7, 11-19 odd P. 122-125 #1-11, 13-15, 19 Converse, Inverse, Contrapositive WKS Given to Conclusion WKS Beginning Proofs WKS P. 129-132 #1-7, 9-15 Algebra Review 3 DUE Proofs: Parallel Lines and Vertical Angles Worksheet Form B P. 165 #1-13 odd 17 8/14 T Chapter 2 Review Book Review Chapter 2 Worksheet 18 8/15 W Chapter 2 Test 19 8/16 Th Constructions: Segment Angle, Angle Bisector, Perpendicular Bisector Constructions: Erecting Perpendiculars and Dropping Perpendiculars Go over Chapter 2 Test Basic Construction Quiz Constructions: Triangles, Medians, Inscribed, Circumscribed, Angle Bisectors, Perpendicular Bisectors, Altitudes WKS 3.1-3.2 WKS Go over Quiz Constructions: BIG Triangle WKS…Euler Segment 4.1 Triangle Sum Conjecture S5C2PO10 Solve problems using right triangles, including special triangles. 4.2 Properties of Special Triangles S5C2PO10 Solve problems using right triangles, including special triangles 4.3 Triangle Inequalities 4.4 SAS, SSS S4C1PO8 Prove similarity and congruence of triangles 4.5 ASA, AAS BIG Congruent Triangle Packet S4C1PO8 Prove similarity and congruence of triangles Quiz #3: 4.1-4.3 and Vocabulary Proofs: Congruent Triangles S4C1PO4 Apply properties, theorems, & constructions about parallel lines, perpendicular lines, & angles to prove theorems Finish Definitions Go over Quiz 4.6 CPCTC/Proofs S4C1PO8 Prove similarity and congruence of triangles T-Shirt DUE 20 21 8/17 F 8/20 M 22 8/21 T 23 8/22 W 24 8/23 Th 25 8/24 F 26 8/27 M 27 8/28 T 28 29 8/29 W 8/30 Th 4.8 Proving Isosceles Triangles Conjectures Investigation S4C1PO4 Apply properties, theorems, & constructions about parallel lines, perpendicular lines, & angles to prove theorems Algebra Skills 4: Writing Linear Equations Review Chapter 4 Test 30 8/31 F 5.1 Polygon Sums (using algebra) P. 138-140 #1-25 odd & 26 3.1-3.5 WKS Constructions WKS Algebra Review 4 DUE P. 201-203 #2-8, 10-12, 17-22 P. 206-207 #1-6, 10-11, 15-19, 22-21 P. 216-218 #1-16 odd, 19-23 P. 222-224 #1-6, 8-15, 20, 21, 23 P. 227-229 #1-16 T-SHIRT Project Concurrent Triangle Proofs WKS Algebra Review 5 DUE Write congruency conj. P. 231-233 #1-11, 13-15, 18, 23 P. 243 #1-3, 11 P. 249-252 #7-31 P. 212 # 1-14 Review Packet 5.2 Exterior Angles of a Polygon P. 257 #1-14, 18, 20, 22 P. 262 # 2-16 S4C1PO6 – Solve problems using angle and side length relationships and attributes of polygons. Algebra Review 6 DUE 31 9/4 T Go over Test 32 9/5 W Quiz #1: 5.1-5.3 5.3 Kite and Trapezoid Conjectures S4C1PO6 – Solve problems using angle and side length relationships and attributes of polygons. 5.4 Properties of Midsegments P. 269 #1-9, 17 Definitions Chapter 5 Midsegment WKS 33 9/6 Th 34 9/7 F S4C1PO6 – Solve problems using angle and side length relationships and attributes of polygons. S4C3PO4 – Verify characteristics of a given geometric figure using coordinate formulas, for distance, midpoint, and slope to confirm parallelism, perpendicularity, and congruence. Go over quiz 5.5 Properties of Parallelograms S4C1PO6 – Solve problems using angle and side length relationships and attributes of polygons. S4C1PO7 – Use the hierarchy of quadrilaterals in deductive reasoning. Algebra Skills - Solving Systems of Linear Equations 5.6 Properties of Special Parallelograms S4C1PO6 – Solve problems using angle and side length relationships and attributes of polygons. S4C3PO4 – Verify characteristics of a given geometric figure using coordinate formulas, for distance, midpoint, and slope to confirm parallelism, perpendicularity, and congruence. S4C1PO7 – Use the hierarchy of quadrilaterals in deductive reasoning. CLICK Geometry Riddle P. 281 #1-6, 11, 15-20 P. 286 #1-8 P. 290 #1-16, 20, 25, 27-29 Algebra Review 7 DUE 35 9/10M 5.7 Proving Quadrilateral Properties S4C1PO6 – Solve problems using angle and side length relationships and attributes of polygons. S4C3PO4 – Verify characteristics of a given geometric figure using coordinate formulas, for distance, midpoint, and slope to confirm parallelism, perpendicularity, and congruence. S4C1PO7 – Use the hierarchy of quadrilaterals in deductive reasoning. 36 9/11 T Chapter 5 Review 37 9/12 W Chapter 5 Test 38 9/13 Th P. 310 1-12, 19, 22 P. 315 1-5 17-19, 20, 22 39 9/14 F 6.1 Chord Properties 6.2 Tangent Properties S4C1PO1 – Use the basic properties of a circle to solve basic theorems and solve problems. 6.3 Arcs and Angles Circle packet - AIMS Reference Sheet Circles S4C1PO1 – Use the basic properties of a circle to solve basic theorems and solve problems. 6.4 Proving Circle Conjectures 6.5 The Circumference/Diameter Ratio S4C1PO1 – Use the basic properties of a circle to solve basic theorems and solve problems. Quiz 6.1-6.4 6.6 Problem Solving - Conversions More Circle packet - AIMS Reference Sheet Circles S4C1PO1 – Use the basic properties of a circle to solve basic theorems and solve problems. Go through Quiz 6.7 Arc Length S4C4PO2 – Find the length of a circular arc. Chapter 6 Review P. 327 2-9 p. 333 1-13, 15, 19 40 9/17 M 41 9/18 T 42 9/19 W 43 9/20 Th District Benchmark Test ? Chapter 6 Review WKS P. 296 #2-10 CLICK Geometry Riddle – DUE P. 300 #7-13, 15, 17, 25-27 P. 322 1-17, 22 Algebra Review 8 DUE Definitions/Conjectures Circle Packet 2-7 P. 338 1-6, 13-15 p. 343 1-8, 15 P. 349 5-19, 25, 26, 31-32 44 9/21 F Chapter 6 Test Semester Final Review Packet Algebra Review 9 DUE 45 9/24 M Translation and Reflections WKS Rotation WKS 46 9/25 T 47 9/26 W Translation and Reflections - Problems w/in 1.7 Rotation S4C2PO1 – Determine whether a transformation of a 2dimensional figure on a coordinate plane represents a translation, reflection, rotation, or dilation and whether congruence is preserved. S4C2PO2 – Determine the new coordinates of a point when a single transformation is performed on a 2-dimensional figure. Dilation Compound Transformations and Transformation Review S4C2PO1 – Determine whether a transformation of a 2dimensional figure on a coordinate plane represents a translation, reflection, rotation, or dilation and whether congruence is preserved. S4C2PO2 – Determine the new coordinates of a point when a single transformation is performed on a 2-dimensional figure. Final Review 48 9/27 Th Geometry Semester 1 Final Exam 49 9/28 F Hamiltonian Paths and Euler Circuits Weighted Graphs and Matrices Who is the Winner? S2C4PO1 – Solve network problems using graphs and matrices. Dilation WKS All Transformations WKS Worksheet #1 Worksheet #2 Worksheet #3 Algebra Review 10 DUE