ࡱ> !# { 7)bjbjzz E*+-<@@8PBL:%%%AAAAAAA$>DFA9P)$"%P)P)A@@g A4n9n9n9P) @8An9P)An9n9<xQ<`WCT2<mAB<PB%<,vG3vGQ<vGQ<%/&n9&'%%%AA6%%%PBP)P)P)P)vG%%%%%%%%% : Geometry Pre-AP FBISD 1st 9 weeks 2013 2014 (Subject to Change) MondayTuesdayWednesdayThursdayFridayAugust 26 Review prerequisite skills from Algebra I. Establish classroom norms, hand out Syllabus HW: WS Do You Remember? 27 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 28 2-1Conditional Statements 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 83 #2-58 even Page 84 #59-61 WS Rewriting If Then Statements For odds, write venn diagrams on the back29 2-2 Biconditionals & Definitions Obj: Compare and contrast biconditionals and definitions with airline round trips. HW: Page 90 # 1, 2, 6, 7-17 odd; 18-22 even; 32-38; 45; 47 WS - Big Sky Airlines . 30 5-4 Negate, Inverse, Contrapositive Obj: Negate statements. Identify and construct the inverse and contrapositive of a conditional statement. Determine statements that are equivalent. Quiz over Alg. Review page 6 and Kinds of Reasoning, Conditionals & Converse HW: WS Equivalent Statements Page 283 #1-9; 24-29; 34-36 Pg 85 # 53 September 2 Labor Day No School 3 2-3 Deductive Reasoning & Symbolic Logic Proofs Obj: Understand and apply deductive reasoning in writing symbolic logic proofs. HW: Finish WS Valid/Invalid Reasoning & Error Analysis WS Symbolic Logic Proofs ( Hand out Ad and conditional statement project, Due Friday)4 Chain Rule (Extension of 2-3) Obj: Apply equivalent conditional statements, law of syllogism, and the chain rule to solve logic puzzles Work Luann puzzle in class HW: WS Working Logic Puzzles I & II Work 3 more symbolic logic proofs 5 Review for Test Obj: Review Objectives for Reasoning Test HW: Study for Test 6 Test Reasoning and Algebra Review AD project Due9 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 10 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 11 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 Lines12 1-5 continued Obj: Connect algebraic descriptions to geometric sets of points and review factoring concepts HW: WS Subsets of Lines, Algebraic Connections WS Distance and Segment Measure #1-14 (work 11 & 13 as examples in class)13 Obj: Review multiplying binomials and factoring quadratics. Quiz, 1-3, and 1-4. HW: WS Fun with Factoring16 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) 17 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)18 1-8 Continued Distance Formula & Pythagorean Theorem 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: WS Distance Formula & Pythagorean Theorem (work problems 11 & 13 in class) Quiz over 1-5, Subsets of Lines, factoring, Pythagorean Thm, & simplifying radicals19 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; 30-32 (DUE TUESDAY) 20 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 (DUE TUESDAY) HW: Study! Progress Report 23 Test Unit 1: 1-3, 4, 5, 8 and Pythagorean Theorem HW: Finish pg. 65, pg 40, pg 47, and pg 11224 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 125 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 19) HW: WS Angle Pairs WS Drawing Conclusions 226 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 WS Flow-proofs (substitution & transitive) WS Supplements and Complements 27 Holiday Fort Bend County Fair Day 30 Segment and Angle Proofs Obj: Write flow proofs including segment and angle concepts. Work 2 more sample proofs. HW: WS - Proofs #1, 7, 8 WS Drawing Conclusions 4 October 1 Review for Test Go over Quiz & previous HW Obj: Identify previous definitions, postulates, and theorems in drawing conclusions. HW: WS Proofs 2-5 2 Test 1-9 and Angles HW: Drawing Conclusions 5 Finish flow proofs pick up for a grade3 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 Finding Angle Measures 1 4 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 Drawing Conclusions // lines and proofs Progress Report7 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 1-48 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 5-8 9 Review then quiz Quiz over || lines & angle pairs and a proof Proofs 9-1210 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 WS Test Review 11 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 14 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 15 Test over Chapter 3 Hw: Work on Writing Equations of Lines16 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.17 3-6 Lines in the Coordinate Plane Obj: Graph lines using intercepts, a point and a slope, or the slope and y-intercept. HW: Writing Equations WS and Page 169 (15 32, 38, 54) 18 3-7 More Equations of Lines Obj: Write equations of lines that are parallel or perpendicular to a given line, including bisectors of segments. HW: Page 178 #12-15; 20-23; 39, 45, 46, 48, 49, 50 WS More Writing Equations End of 1st Nine Weeks Geometry Pre-AP FBISD 2nd 9 weeks 2013 2014 (Subject to Change) MondayTuesdayWednesdayThursdayFridayOctober 21 9-1 Translations Obj: Compare and contrast rigid transformations, dilations, and distortions. Hw: Page 473 #1, 2, 3, 9; 11-14; 16-23; 25-29; 31-33; 35 22 9-2 Reflections Obj: Understand and apply properties of reflection, including the reversal of orientation and the line of reflection as the perpendicular bisector of the segment connecting preimage and image. Investigate reflection in 3-D. Hw: p. 480 1-11, 16-22, 24-26, 28-36, 51, 54 56) Reflection application ws23 9-2 Reflections Contd Obj: Understand and apply properties of reflection on the coordinate plane over lines with a variety of slopes. HW: Pg. 480 (12, 13, 15, 37, 46) Reflections on Coordinate Plane Quiz over 3-6 and 3-724 9-3 Rotations Obj: Understand and apply properties of rotation, including center and angle of rotation. p. 485 (1-9 odd, 10-19 all, 27-31, 34, 35, 45-47)25 9-4 Symmetry Obj: understand and identify kinds of reflectional symmetry, rotational symmetry, and point symmetry as a 180 degree rotational symmetry . Hw: Workbook Practice 9-4 Symmetry WS p. 494 (36-40, 54) Study for Quiz28 9-5 Dilations Obj: Understand dilation as an enlargement or reduction which have image figures similar to the preimage figures. HW: p. 500 (1-14, 18-24 even, 42, 43, 47, 48, 54-61) WS-Dilations Practice Assign Transformations Project (Due Friday) 29 9-6 Compositions of Reflections and 9-7 Tessellations Obj: Part I Understand what a composition of two functions looks like how to compare the beginning and the end of a transformation. Part II Discuss what a tessellation is and what figure will and will not tessellate. 9-6 notes over Compositions Define a glide-reflection 9-7 Frieze Patterns in class p. 514 (5-10) together HW: WS Translations, Reflections, and Rotations Review Reflection and Dilations30 9-1 Through 9-7 Review Day Finish yesterday if needed and then use the review material to help the kids begin to prepare for the test. HW: p. 509 (1-3, 10-27, 30, 35-45) Read and do WS-Tessellations More Practice: Slopes & Transformations (OMIT parts D and G) Test Review Transformations Quiz over 9.1-9.5 31 7-1 Ratio and Proportion HW: (Due Wednesday) Page 368 #1-11 all; 12-20 even; 21, 22, 25, 28-33, 38-42, 47, 52-55, 59-61) 7-2 Similar Polygons Obj: Analyze and apply concepts of similarity to triangles and polygons HW: (Due Wednesday) Page 375 #1-6, 9-12, 15-18, 20-28, 31-35, 40-45, 50) November 1 Review Obj: Review transformations, compositions of transformations, symmetry and tessellations. Transformation Project Due!!!!4 Obj: Assess understanding of transformations, compositions of transformations, symmetry, and tessellations. Test Transformations HW: 7-1 Page 368 #1-11 all; 12-20 even; 21, 22, 25, 28-33, 38-42, 47, 52-55, 59-61) 5 7-3 Similar Triangle Patterns Obj: Summarize patterns for similarity in triangles AA~, SAS ~, and SSS~. HW: 7-3 Study guide WS 7.3 Page 385 (16-19, 22b) Worksheet Application problems using similar triangles (OMIT geometric mean and proportions) optional: (1, 2, 4-15, 23-28)6 DAC 7 7-4 Similarity in Right Triangles Obj: Generalize the relationships when the altitude to the hypotenuse of a right triangle is drawn. Apply the three geometric means formed. HW: Worksheet 7.4 Extra Practice: Page 394 #2-8 even; 9-21 all; 23a; 35-38, 49-518 7-5 Proportions in Triangles Obj: Apply the side-splitter theorem and its corollary and the triangle-angle-bisector theorem in problem-solving. Page 400 #1-16; 25, 26, 29, 31-33, 36-38, 41-43 Similarity in Triangles WS (TBC) Chapter 7 Review Problems Quiz over 7.1-7.3 Progress Report11 Review Obj: Synthesize concepts of similarity in triangles and polygons. Study for test. 12 Obj: Assess understanding of similarity in triangles and in polygons. Test Chapter 7 Triangle Menu Create Triangles according to specifications13 4-1 Congruent Figures Obj: Understand and apply concepts of congruence to triangles and use deductive reasoning in proving relationships. Page 200 #3-13; 16-23; 29, 38-40, 46, 47 Drawing Conclusions WS Assign Vehicle Project to be due on November 2014 4-2 SSS and SAS Obj: Generalize SSS and SAS. Apply both in algebraic problems and in prrofs. Work a sample proof in class Page 208 #1, 4-13, 18-19, 26-30, 38, 4015 4-3 ASA and AAS Obj: Generalize ASA and AAS. Apply both in algebraic problems and in proofs. Page 215 #1-4, 7, 10, 11, 13-16, 18, 20-23 Page 219 #2-10 WS Congruent Triangles I 18 Do warm-up problems over 4.1-4.3 4-4 CPCTC Obj: Draw conclusions about the remaining pairs of parts after proving the triangles congruent. Page 222 #1-3, 5, 14, 15 (check for notecard:  EMBED Equation.DSMT4 linear EMBED Equation.DSMT4 s ! EMBED Equation.DSMT4 lines ), 19 WS Congruent Triangles II CPCTC Proofs WS I19 4-5 Isosceles and Equilateral Triangles Obj: Apply the isosceles triangle theorem and its converse in algebraic problems and in proofs. Page 230 #1-13, 19-22, 24, 30- 33, 36 WS 4.5 Isosceles Triangles Proofs with Isosceles triangles Quiz over 4.1-4.3 (patterns of congruency and 2 proofs)20 4-6 Congruence in Right Triangles(LL, LA, HA, HL) Obj: Generalize and apply right triangle patterns for congruence LL, LA, HA, and HL. Worksheet on patterns Page 210 #39 Page 216 #6, 12 Page 224 #16, 18 Page 238 #13, 20, 21 WS Congruent Triangles III Vehicle Project Due!!21 4-7 CPCTC Obj: Separate and compare overlapping triangles to write proofs about their congruence. Go over the example on page 247 and work a sample problem similar to #10 on page 244 Page 243 #1-6, 8, 16, 17 CPCTC Proofs WS II22 More Writing Proofs (2-stage proofs) Obj: Write proofs that have two stages of congruent triangles. Page 244 # 10, 11, 21, 22 Page 247 #1, 2 25 Thanksgiving Break No School 26 Thanksgiving Break No School 27 Thanksgiving Break No School28 Thanksgiving Break No School29 Thanksgiving Break No SchoolDecember 2 2-Stage Proofs Day 2 Reteach for absent kids Begin test review. pg. 243 (1-6, 8, 17) 3 Review Obj: Synthesize concepts of congruence in triangles and in polygons HW: Test Review (TBC) 4 Test over Chapter 4 Obj: Assess understanding of congruence in triangles and in polygons. Worksheet Application problems using similar triangles. Semester Review #1-39 5 5-1 Midsegments of Triangles Obj: Draw conclusions about the midsegment of a triangle. p. 262 #1-10, 13, 20-36, 38 Semester Review #40-52 6 Bisectors in Triangles Obj: Draw conclusions about the perpendicular bisectors, and angle bisectors in triangles. p. 267 #1-4, 6-26 Ws Medians, altitudes, Perpendicular Bisectors (1-19) Semester Review # 53-64 Progress Report9 5-3 Concurrent Lines Obj: Apply the theorems about special segments in triangles in problems p. 267 #34, 35, 37-39, 42, 45, 46 Ws Medians, altitudes, Perpendicular Bisectors (20-24) p. 275 #1-16, 23, 28 Semester Review # 65-7910 Equations of Special Segments WS-Equations of Medians, Altitudes, & Perpendicular Bisectors Semester Review # 80-9411 Review Properties of Special Segments Hw: Study for Quiz Work on Semester Review12 QUIZ 5.1 - 5.3 HW: Semester Review # 95-115 13 Review for Finals Semester Review # 116-14116 Review for final exams Semester Review should be finished! GOOD LUCK!!17 Semester Exams 6th period Exam Full Day18 Semester Exams 2nd period Exam 4th period Exam Full Day19 Semester Exams 3rd period Exam 5th period Exam Day20Semester Exams 7th period Exam 1st period Exam Day End 2nd Nine Weeks End 1st Semester Geometry Pre-AP FBISD 3rd 9 weeks 2013 2014 (Subject to Change) MondayTuesdayWednesdayThursdayFridayJanuary 7 Campus Staff Dev. Student Holiday8 Campus Staff Dev. Student Holiday9 Parts of Similar Triangles & 5-5 Inequalities in Triangles WS Parts of Similar Triangles #1-9 WS Solving Compound Inequalities Inform students that they need to buy a copy of Sphereland and have it by February 9th10 5-5 Inequalities in Triangles In class page 292 (1-28, 31-32) WS Inequalities in One Triangle & Finish p. 292 (1-28, 31-32)11 5-5 Inequalities in Triangles WS - Pythaorgean Theorem More or Less14 5-5 Inequalities in Two Triangles (Hinge Thm.) Obj: Apply theorems about inequalities in triangles. (The sum of any two sides of a triangle is greater than the third. If two sides of a triangle are unequal, then the larger angle lies opposite the longer side. If two angles of a triangle are unequal, then the longer side lies opposite the larger angle.) Discuss Hinge Theorem in class p. 293 #-30 p. 294 (35-37) WS-Inequalities in 2 Triangles15 8.2 Special Rt Triangles Obj: Derive and apply the patterns for special right triangles. Study guide Case 1 & Case 2 Study for TEST Part I Due Wednesday p. 428 #15-23, 25-26 WS 8.2 A WS 8.2 Special Right Triangles16 8.2 Special Rt Triangles Obj: Derive and apply the patterns for special right triangles. TEST 1 (Part I) Parts of Similar Triangles & 5-5 Inequalities in Triangles17 8.2 Special Rt. Triangles Obj: Apply the special right triangle patterns and Pythagorean Theorem to solve problems. (Define isosceles trapezoid. Do some sample problems.) Worksheet on Right Triangles18 Right Triangles Obj: Solve right triangle problems. Apply the Pythagorean Theorem to the rectangular prism and to the regular square pyramid. Worksheet Right Triangle Practice Study for TEST Part II 21 M. L. King Day No School22 Pyth. Thm. in 3D Obj: Apply the Pythagorean Theorem to 3D figures. Assess special right triangles and the Pythagorean Theorem. WS Pythagorean Theorem in Three Dimensions TEST 1 (Part II) Special Right Triangles & Pyth. Thm23 8.3 & 8.4 Trig Ratios Obj: Define and analyze the trig ratios tangent, sine, and cosine. Use the calculator to find segment lengths and angle measures. WS Trig Ratios in Right Triangles24 8.5 Angles of Elevation & Depression Obj: Define and apply angles of elevation and depression to solve problems. p. 447 #1-8 & p. 442 #25, 28-29 (in class) p. 437 (53-58) p. 447 #9-18, 23, 28, 29 p. 434 #10, 22, 2325 8.5 Angles of Elevation & Depression Obj: Apply all of the trigonometric techniques to solve problems. Assess understanding of the Pythagorean Theorem in 3D and trigonometric ratios. WS Angles of Elevation & Depression p. 441 #10, 17, 22, 24, 31, 33 Class Activity Too Tall to Measure28 Review Obj: Compare and contrast methods for solving problems involving right triangles. WS Ch. 8 Extra Practice (with answers) Quiz over Pyth. Thm. in 3D and Trig. End of Progress 529 Review Obj: Compare and contrast methods for solving problems involving right triangles. Go over quiz & worksheet. 30 Test over Right Triangles (chapter 8) Obj: Assess understanding of chapter 8, right triangles. 6.1 Define Special Quads For homework: read pages 306-308 and work the following problems: p. 308 (1-12, 19-26, 45-48) 31 6.2 Properties of Parallelograms Obj: Derive and apply the properties of parallelograms. Study Guide WS Parallelograms p. 316 (12-16, 31-33, 41)February 1 6.3 Prove Quad. is a Parallelogram Obj: Derive and apply the ways of proving that a quadrilateral is a parallelogram. Verify that a quadrilateral is or is not a parallelogram by coordinate methods. Introduce verifying parallelogram from coord. of 4 points Study Guide WS 6.3 Parallelograms (front & back) Page 325 (14-19, 26)4 6.4 Special Parallelograms Obj: Derive the properties of special parallelograms. Extend coordinate methods to the rectangle and the rhombus. Study Guide WS Rectangles, Squares & Rhombi (6.4) (32 problems)5 6.5 Trap. & Isos. Trap. Obj: Analyze isosceles trapezoids and apply their properties to find segment lengths and angle measures. Study Guide WS- Trapezoids (6.5) Quiz over 6.1-6.36 6.5 Kites & Coord Work Obj: Derive and apply the properties of a kite. Classify quadrilaterals by coordinate methods. Work a couple more coord. examples in class WS Kites & Coord Work with Quadrilaterals Introduce Kite Project7 6.6 Placing Figures in the Coord. Plane Obj: Analyze the best placement of figures in the coordinate plane. Use Practice 6-6 as a study guide Pg. 344 (2-7, 9-15, 22-27) Teach 6.7 today8 6.7 Proofs using Coord Geom. Obj: Prove properties of special quadrilaterals by coordinate methods. Use Ex. on page. 349 in class and problem 1 to illustrate choices of coordinates. WS 6.7 Proofs Using Coordinate Geometry Quiz over Special Parallelograms & Trapezoids11 Comparing & Contrasting Quads. Obj: Compare and contrast quadrilaterals and their properties. Pg. 309 (29-41, 50-53, 56-59) WS Quadrilateral Relationships Fill in Chart of properties of quadrilaterals12 Midpt. Quads. Obj: Analyze quadrilaterals formed by connecting the midpoints of consecutive sides. WS-Quad. from Midpoints (in class) WS Connecting Midpoints WS Chapter 6 Review (note: review sheet does not include sections 6.6 & 6.7) Page 359 (30-34)13 Review Obj: Review quadrilaterals, their properties, and coordinate methods for verifying each. 10-1 Area of Parallelograms & Triangles (include geoboard methods) Obj: Analyze and apply methods for finding the area of parallelograms and triangles, including the dissection and surround methods.14 Test on Quadrilaterals Obj: Assess understanding of Quadrilaterals, chapter 6. Homework: p. 536 (1-9; 12-14; 19-27; 32-39) Geoboard Worksheet15 10-2 Area of Trapezoids, Rhombuses & Kites Obj: Develop and apply the formulas for area of a trapezoid and for quadrilaterals with perpendicular diagonals rhombus, kite, square, and others. pg. 542 (4, 8-18, 22-32, 35) End of Progress 618 10-3 Area of Regular Polygons and 10-5 Trigonometry and Area Obj: Derive the formula for finding the area of a regular polygon, including the special cases of equilateral triangle, square, and regular hexagon. Use trigonometry to find any missing parts. pg. 548 (1-3, 10-18, 24-25, 29) pg. 561 (1, 4, 7, 8) 19 10-3 Work Day Have the kids work together in groups to practice finding the area of polygons. Review for 10.1 10.2 Quiz Hw: Study for Quiz 20 Continue 10-3 and 10-5 Obj: Find area of triangles by trig. Find shaded areas by applying all of the area formulas. pg. 561 (2, 25, 11-17) Worksheet with Herons Theorem and Circle Area/Perimeter Quiz on 10-1 and 10-2 21 10-6 Circles and Arc and 10-7 Areas of Circles & Sectors Obj: Review circumference and area of a circle. Apply ratios to find arc length and area of sector. Analyze the area of a segment of a circle as a sector minus a triangle. p. 571 (57-59) p. 578 (22, 25-28, 30, 32, 35, 40) Worksheet Arc Length, Sector Area, Segment Area22 10-4 Perimeters and Areas of Similar Polygons Obj: Apply ratios to find perimeters and areas of similar polygons. p. 555 (2, 3, 5-10, 13-16, 19-22, 28-32, 35-37, 41-44) Quiz 10-3 & 10-52510-8 Geometric Probability Obj: Apply concepts of probability to distance and area. p. 584 (1-6, 15-20, 23-26, 32-35, 47) Worksheet Shaded Areas26 Review Chapter 10 Obj: Compare and contrast methods for finding the perimeter and area of polygons, circles, sectors, segments, and composite figures. WS - Chapter 10 Review27 Test on Ch. 10 Obj: Assess understanding of Area and Perimeter Chapter 10. Obj: Apply algebraic skills to find area. HW: Worksheet Algebra & Areas28 1-2 Drawings, Nets, and Other Models p. 13 (1-9, 18-20, 35) Worksheet Isometric dot paper & square dot paper provided for book work March 1 1-2 continued In groups of 2 or 3, find 8 different nets for a pyramid with a square base. Use polyhedrons (click-togethers). p. 13 (11-16, 23-30, 34) Packet of pattern folding, etc. 4 TAKS ELA 11-1 Space figures and Cross Sections Obj: Describe and analyze cross sections of solid figures. Use plastic cubes with colored water to see cross sections. In class using cubes p. 603 (46-54) HW: p. 601 (1-19, 21-29, 36)5 11-2 Surface Areas of Prisms and Cylinders Obj: Derive and apply the formulas for lateral area and surface area of right prisms and cylinders. p. 612 (5-12, 16, 19, 21, 22, 24, 27-30, 33-35) p. 253 (1-4 6 District Assessment7 11-3 Surface Areas of Pyramids and Cones Obj: Derive and apply formulas for lateral area and surface area of regular pyramids and cones. p. 620 (1, 2, 4, 5, 9-11, 18, 19, 21, 23, 27-30)8 Kite Day! Spring BreakMarch 11-1518 Review Obj: Solve lateral area and surface area problems, including some nonformula problems. HW: Worksheet - Fun with Lateral Area and Surface Area Worksheet - Review of 11.2 and 11.319 11-3 continued Obj: Apply formulas for lateral area and surface area of pyramids, cones, prisms, and cylinders.. p. 620 (3, 6, 8, 12, 17, 31-35, 37-40, 43) Quiz 1-2, 11-1, 11-2, & Algebra and Areas20 Extra day to review 21 Review for Test Obj: Solve lateral area and surface area problems, including some nonformula problems. 22 11-4 Volumes of Prisms & Cylinders Obj: Derive and apply the formulas for volumes of prisms and cylinders. Page 627 (1, 2, 4-6, 10-12, 15, 17-19, 22, 26-35, 37 (part a only), 38) End 3rd Nine Weeks Geometry Pre-AP FBISD 4th 9 weeks 2013 2014 (Subject to Change) MondayTuesdayWednesdayThursdayFriday25 TEST 1.2, 11.1 11.3 Homework: page 75 #1-19 (TAKS Tune-up) 26 11-5 Volumes of Pyramids & Cones Obj: Derive and apply the formulas for volumes of pyramids and cones from models. Page 634 (1, 2, 6, 8, 9, 11, 13-16, 18, 20-25, 27, 29-31) 27 11-6 Surface Area & Volume of a Sphere Obj: Derive and apply the formulas for surface area and volume of a sphere. Describe and draw the intersection of a given plane with a sphere. Page 640 (1, 2, 5, 8, 10, 12, 13, 16-24, 29, 34, 35, 37, 38) Optional Orange Activity28 Composite figures Obj: Apply volume concepts to find the volume of composite figures, including cones made by removing a sector from a circle. Page 642 (40-43, 47) Page 644 (10) WS - More Practice Quiz over 11.4 and 11.529 Good Friday No School April 1 STAAR English I Writing & Reading2 STAAR English I Writing & Reading3 STAAR English II Writing & Reading4 STAAR English II Writing & Reading 5 11.7 Areas & Volumes of Similar Solids Obj: Use ratios to solve problems involving similar figures. Page 648 (1-10, 12-15, 17-18, 20, 22, 24, 29, 34, 35) Worksheet Area and Volume Review 8 Frustums & More Practice Obj: Find the surface area and volume of frustums by applying similar solids. Apply concepts of surface area and volume to solve problems. Page 636 (32, 34) Page 649 (11, 16, 37) Worksheet - Frustums Page 652 (1-2)9 Volume of Rotational Solids Card Deck Matching Activity Volumes of rotation(for a daily grade) Hw: Work on top 10 TAKS strategies Review for Test10 Test Review Finish Card Deck if needed And review for test.11 Test over Surface Area and Volume (11-3 11-7 & WS) Hw: Finish the homework from Friday 12 10-6 Circles and Arcs 12-1 Tangent Lines Obj: a. Understand and apply relationships between central angles and arcs. b. Understand and apply properties of tangent lines. p. 570 (15-26, 42-47, 49-53, 70) p. 665 (1-4, 8-15, 20, 22, 25, 26, 28) End of Progress 715 12-2 Chords and Arcs Obj: Develop and apply relationships between circles, chords, and arcs. p. 673 (3-8, 11-18, 26, 27, 30-32, 34) Hand out Sphereland study sheets. Read through page 26 by Friday, April 1916 12-3 Inscribed Angles Obj: Understand and apply relationships between angles with their vertex on the circle and their intercepted arcs. Find the center of a circle without measurement. p. 681 (5-24, 28, 42-44) 17 12-4 Angle Measures and Circles (exterior) Obj: Understand and apply relationships between angles with their vertex in the interior and in the exterior and their intercepted arcs. p. 691 (1-8) and WS Finding Angle Measures in Circles18 12-4 Segments and Circles (Interior) Obj: Understand and apply relationships between segments and circles. p. 691 (9, 11-28, 36, 40, 41) p. 685 Checkpoint 19 Obj: Apply relationships between circles, arcs, angles, and segments. Quiz on 12-1 through the angle part of 12-4 WS Chapter 12 Assign Sphereland, Part I The Straight World pages 27-8222 Sphereland Obj: Understand the social and mathematical progress through history by an analysis of dimensions in Sphereland. Show Flatland video??? HW: Finish Part I pages 27-82 , start part II pages 83 119 23 TAKS Testing EXIT Math Sphereland Obj: Understand the social and mathematical progress through history by an analysis of dimensions in Sphereland Discuss the introduction through page 26. HW: Finish Sphereland Part I 27-82 and study guide, work on Part II pages 83 - 11924 TAKS Testing EXIT Science Sphereland Obj: Summarize the strands throughout Sphereland: possibility of third dimension, role of women, attitude of society, and kinds of reasoning. Discuss Sphereland through page 82 (Part I) HW: Finish Sphereland, Part II pages 83 -119, start Part III pages 120 170 25 TAKS Testing EXIT Social Studies Sphereland Obj: Understand the social and mathematical progress through history by an analysis of dimensions in Sphereland Discuss Part II HW: Sphereland, Part III pages 120 170 for Monday, Finish the book, pages 170-205 and do Part IV 26 Sphereland Obj: Understand the social and mathematical progress through history by an analysis of dimensions in Sphereland Discuss Part III Assign Sphereland, Part IV pages 170 205 29 Obj: Review relationships between circles, arcs, angles, and segments. Study for the test 30 TEST over Circles 10-6 and 12-1 to 12-4 Obj: Assess understanding of relationships between circles, arcs, angles, and segments.May 1 Sphereland Obj: Examine the rolls of women, social structure and history by Discussing Sphereland Part IV 2 Sphereland Obj: Summarize the strands throughout Sphereland and their relevance to today. Review Sphereland with I have, who has? Card Act 3 Quiz over all of Sphereland (2 daily grades) End of Progress 86 STAAR Algebra I* STAAR Chemistry 7 STAAR World Geography* STAAR Algebra II 8 STAAR Biology* STAAR U.S. History 9 STAAR Geometry* STAAR Physics 10 STAAR World History STAAR Make-ups 13 12-5 Circles in the Coordinate Plane Obj: Derive and apply the equation of a circle in the plane. p. 697 (1, 3, 6, 8, 11, 12, 14, 17, 20, 21, 24, 27, 29, 32, 33, 35, 37, 40, 42-47, 53, 55, 57)14 3D Coordinate System Obj: Understand coordinate geometry from a dimensional viewpoint. Locate points in space. Locate planes in space. WS Coordinate Geometry from a Dimensional Viewpoint; WS- Coordinates in 3D 15 3D Coordinate System Obj: Match equations, pictures, and descriptions of planes in space. 3D Card Matching Activity (counts as a daily grade) WS 2 - Coordinates in Space 16 More Locus work Obj: Understand and describe verbally and algebraically a locus of points that satisfies given condition(s). p. 703 (9-12, 18-20, 26, 31, 32, 33-40, 44) and WS Locus of Points and Intersection of Loci p. 703 (1-8, 14-17) and WS Examples for Locus of Points17 More Locus work Obj: Assess understanding of equation of circle and of 3D coordinate system. Review Locus of Points. Quiz over 12-5 and 3D coordinate system WS Locus of Points 20 More Locus Work Obj: to discuss what happens when two Loci intersect. WS Intersection of Loci21 Review22 Test over 12-5, 3D coordinate system, Locus of Points, and Intersection of Loci 23 Spherical Geometry Obj: To expose student to another type of Geometry, including how the basics of Geometry change when applied to a spherical surface. 24 Taxicab Geometry Obj: To expose students to another type of Geometry, including the new rules of Taxicab Geometry and the history behind it. 27 Memorial Day No School28 Spherical, Taxi and Euclidean Geometry Review. Obj: To review the three types of Geometry and compare and contrast the different rules. 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