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Geometry Pre-AP – FBISD – 3rd 9 weeks 2013 – 2014 (Subject to Change) Monday January 6 Tuesday 7 Campus Staff Dev. Student Holiday Campus Staff Dev. Student Holiday 13 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) Wednesday 8 Parts of Similar Triangles & 5-5 Inequalities in Triangles 14 8.2 Special Rt Triangles Obj: Derive and apply the patterns for special right triangles. Study guide – Case 1 & Case 2 (Begin Wednesday’s notes) Friday 10 5-5 Inequalities in Triangles 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.) 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 March 17th In class page 292 (1-28, 31-32) 15 8.2 Special Rt. Triangles 16 Obj: Apply the special right triangle patterns and Pythagorean Theorem to solve problems. (Define isosceles trapezoid. Do some sample problems.) Worksheet on Right Triangles p. 428 #15-23, 25-26 WS 8.2 A WS 8.2 Special Right Triangles Thursday 9 5-5 Inequalities in Triangles WS – Inequalities in One Triangle & Finish p. 292 (1-28, 31-32) 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 WS - Pythaorgean Theorem More or Less 17 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 Quiz over Special Right Triangles and Pythagorean Theorem Quiz over Parts of Similar Triangles and 5-5 Inequalities in Triangles WS-Inequalities in 2 Triangles 20 M. L. King Day No School 21 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. 22 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, 2829 (in class) WS – Trig Ratios in Right Triangles 27 Review Obj: Compare and contrast methods for solving problems involving right triangles. 28 Test over Right Triangles (chapter 8) Obj: Assess understanding of chapter 8, right triangles. Go over quiz & worksheet. February 3 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 6.1-6.3 p. 437 (53-58) p. 447 #9-18, 23, 28, 29 p. 434 #10, 22, 23 29 6.1 Define Special Quads 6.2 Properties of Parallelograms Obj: Define special quadrilaterals. Derive and apply the properties of parallelograms. HW: p. 308 (1-12, 19-26, 45-48) WS – Parallelograms p. 316 (12-16, 31-33, 41) End of Progress 5 4 6.5 Kites & Coord Work Obj: Derive and apply the properties of a kite. Classify quadrilaterals by coordinate methods. 23 8.5 Angles of Elevation & Depression Obj: Apply all of the trigonometric techniques to solve problems. Assess understanding of the Pyth. Thm. in 3D and trig ratios. WS – Angles of Elevation & Depression p. 441 #10, 17, 22, 24, 31, 33 Class Activity – Too Tall to Measure (daily grade) 30 6.3 Prove Quad. is a Parallelogram Obj: Derive and apply the ways of proving that a quad. is a parallelogram. Verify that a quad. is or is not a parallelogram by coordinate methods. Introduce verifying parallelogram from coord. of 4 points 24 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. 31 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) WS – 6.3 Parallelograms (front & back) Page 325 (14-19, 26) 5 6 7 6.6 Placing Figures in the Coord. Plane Obj: Analyze the best placement of figures in the coordinate plane. 6.7 Proofs using Coord Geom. Obj: Prove properties of Comparing & Contrasting Quads. Obj: Compare and contrast quadrilaterals and their properties. Work a couple more coord. examples in class WS – Kites & Coord Work with Quadrilaterals Use Practice 6-6 as a study guide Introduce Kite Project (daily grade) Due March 7th Teach 6.7 today Pg. 344 (2-7, 9-15, 22-27) 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 & Trapezoids Pg. 309 (29-41, 50-53, 56-59) WS –Quadrilateral Relationships Fill in Chart of properties of quadrilaterals 10 11 12 13 14 Midpt. Quads. Review Test on Quadrilaterals 10-2 Area of Trapezoids, Rhombuses & Kites Obj: Analyze quadrilaterals formed by connecting the midpoints of consecutive sides. Obj: Review quadrilaterals, their properties, and coordinate methods for verifying each. Obj: Assess understanding of Quadrilaterals, chapter 6. 10-1 Area of Parallelograms & Triangles (include geoboard methods) Obj: Develop and apply the formulas for area of a trapezoid and for quadrilaterals with perpendicular diagonals – rhombus, kite, square, and others. 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) Obj: Analyze and apply methods for finding the area of parallelograms and triangles, including the dissection and surround methods. HW: p. 536 (1-9; 12-14; 19-27; 32-39) Geoboard Worksheet HW: pg. 542 (4, 8-18, 22-32, 35) 17 18 19 20 10-6 Circles and Arc 21 10-4 Perimeters and 10-3 Area of Regular Polygons and 10-5 Trigonometry and Area Continue 10-3 and 10-5 Obj: Review Heron’s Formula and review circumference and area of a circle. and 10-7 Areas of Circles & Sectors Obj: 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. Areas of Similar Polygons Obj: Apply ratios to find perimeters and areas of similar polygons. 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) 2410-8 Geometric Probability Obj: Find area of triangles by trig. Find shaded areas by applying all of the area formulas. Worksheet with Heron’s Theorem and Circle Area/Perimeter pg. 561 (2, 11-17, 25) Quiz on 10-1 and 10-2 End of Progress 6 25 1-2 Drawings, Nets, District Assessment 26 and Other Models p. 571 (57-59) p. 578 (22, 25-28, 30, 32, 35, 40) Worksheet – Arc Length, Sector Area, Segment Area 27 p. 584 (1-6, 15-20, 23-26, 32-35, 47) Worksheet – Shaded Areas March 3 4 5 6 1-2 continued 11-1 Space figures and Cross Sections 11-2 Surface Areas of Prisms and Cylinders 11-3 Surface Areas of Pyramids and Cones In groups of 2 or 3, find 8 different nets for a pyramid with a square base. Use polyhedrons (clicktogethers). Obj: Describe and analyze cross sections of solid figures. Use plastic cubes with colored water to “see” cross sections. Obj: Derive and apply the formulas for lateral area and surface area of right prisms and cylinders. Obj: Derive and apply formulas for lateral area and surface area of regular pyramids and cones. p. 13 (11-16, 23-30, 34) “Packet” of pattern folding, etc. In class using cubes p. 603 (46-54) HW: p. 601 (1-19, 21-29, 36) WS - Chapter 10 Review Quiz 10-3 & 10-5 28 Chapter 10 HW: Worksheet – Algebra & Areas p. 13 (1-9, 18-20, 35) Worksheet Isometric dot paper & square dot paper provided for book work Review (Homework due Monday) Obj: Apply concepts of probability to distance and area. p. 555 (2, 3, 5-10, 13-16, 19-22, 2832, 35-37, 41-44) Obj: Compare and contrast methods for finding the perimeter and area of polygons, circles, sectors, segments, and composite figures. Test on Ch. 10 Obj: Assess understanding of Area and Perimeter – Chapter 10. Obj: Apply algebraic skills to find area. Finish the homework on 1-2 from Tuesday 2/25 p. 612 (5-12, 16, 19, 21, 22, 24, 27-30, 33-35) p. 253 (1-4) 7 Kite Day! p. 620 (1, 2, 4, 5, 9-11, 18, 19, 21, 23, 27-30) Spring Break—March 10-14 17 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 11.3 18 19 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, 3135, 37-40, 43) 11-4 Volumes of Prisms & Cylinders Quiz 1-2, 11-1, 11-2, & Algebra and Areas 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) 20 Extra day to review Come up with additional review sheet or activity 21 Review for Test Obj: Solve lateral area and surface area problems, including some nonformula problems. End 3rd Nine Weeks