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Geometry Accelerated * Syllabus Chapter 1 Ch 1 1.1 1.2 1.3 1.4 1.5 1.6 Students will be able to: 1. Identify points, lines and planes. 2. Identify collinear, coplanar, noncollinear and noncoplanar points 3. Identify intersecting lines and planes in space 1. Measure segments and determine accuracy of measurement. 2. Compute with measures. 1. Find the distance between two points. 2. Find the midpoint of a segment 1. Measure and classify angles. 2. Identify and use congruent angles and the bisector of an angle. 1. Identify and use special pairs of angles. 2. Identify perpendicular lines. 1. Identify and name polygons. 2. Find perimeters of polygons. Assignment P9:13-18,30-35 P17:23-39 odd P25:23-43odd P33:4-8,12-33 P41:1-9 P42:11-35odd P49:12-21,26,29-34 P53-58 chapter review P754-755 extra practice Use online resources as well Review TEST DATE (on or about): October 1 Chapter 2 Ch 2 2.1 2.3 2.4 2.5 2.6 2.7 2.8 Students will be able to: Make conjectures based on inductive reasoning. Find counterexamples. Analyze statements in if-then form. Write the converse, inverse and contrapositive of if-then statements. Use the Law of Detachment. Use the Law of Syllogism Identify and use basic postulates about points, lines, and planes. Start identifying parts of a proof. Use algebra to write two-column proofs. Use properties of equality in geometry proofs. Write proofs involving segment addition. Write proofs involving segment congruence. Write proofs involving supplementary and complementary angles. Write proofs involving congruent and right angles. Review Assignment P64: 11-36, 43,44 P78: 17-45odd P85: 13-27odd P92: 16-28 P97: 4-13 P97: 14-29 P104: 12-17, 21-23, P111: 3-14, 16-24, 27-32, 3839, 46,47 P115-120 chapter review P756-758 extra practice Use online resources as well TEST DATE (on or about): October 15 Geometry Accelerated * Syllabus Chapter 3 Ch 3 3.1 3.2 3.3 3.4 3.5 3.6 Students will be able to: Identify the relationships between two lines or two planes. Name angles formed by a pair of lines and a transversal. Use the properties of parallel lines to determine congruent angles. Use algebra to find angle measures. Find slopes of lines Use slope to identify parallel and perpendicular lines. Write an equation of a line given information about its graph. Solve problems by writing equations. Recognize angle conditions that occur with parallel lines. Prove that two lines are parallel based on given angle relationships. Find the distance between a point and a line. Finthe distance between parallel lines. Review Assignment p130:33-47,56 p136:5-39all p143:15-37odd p148:15-37odd p155:13-31 p162:11-16,19-27 p167-173 chapter review P758-760 extra practice Use online resources as well Test Date (on or about): Thursday, November 3rd MP2 ** Chapter 4 Ch 4 4.1 4.2 4.3 4.4 4.5 4.6 4.7 Students will be able to: Identify and classify triangles by angles. Identify and classify triangles by sides. Apply the Angle Sum Theorem. Apply the Exterior Angle Theorem. Name and label corresponding arts of congruent triangles. Identify congruence transformations. Use the SSS Postulate to test for triangle congruence. Use the SAS Postulate to test for triangle congruence. Use the ASA Postulate to test for triangle congruence. Use the AAS Theorem to test for triangle congruence. Use Right Triangle specific congruence tests Use properties if isosceles triangles. Use properties of equilateral triangles. Review Assignment P181: 9,10,11,26-29,32-34,38,40,41 P189: 5-9,11-38 P195: 3-5,9-16,26,27,38,39 P203: 3,4,6-8,10-13,16-19,22-25,30 P210: P211: P213: P215: 4,5 9-14 write as a 2-column proof 31 10,11 P219:6,8-29,43 SKIP P226: 41-47 P227: 1-25 chapter review P758-760 extra practice Use online resources as well Test Date (on or about): Thursday, November, 18th Geometry Accelerated * Syllabus MP2 ** Chapter 5 Ch 5 5.1 5.2 5.3 5.4 5.5 Students will be able to: Identify and use perpendicular bisectors and angle bisectors in triangles. Identify and use medians and altitudes in triangles. Recognize and apply properties of inequalities to the measures of angles of a triangle. Recognize and apply properties of inequalities to the relationships between angles and sides of a triangle. Skip Apply the Triangle Inequality Theorem. Determine the shortest distance between a point and a line. Apply the SAS Inequality. Apply the SSS Inequality. Review Assignment P243: 11-26,41,42 P252: 17-41odd, 47,55,56 Skip P264: 15-39odd, 41, 52,53 P271: 10-20 P274-277 chapter review P758-760 extra practice Use online resources as well Test Date (on or about): December 21st Geometry Accelerated * Syllabus MP3 ** Chapter 6 Ch 6 6.1 6.2 6.3 6.4 6.5 6.6 Students will be able to: Write ratios Use properties of proportions Identify similar figures Solve problems involving scale factors Identify similar triangles Use similar triangles to solve problems Use proportional parts of triangles Divide a segment into parts Recognize and use proportional relationships of corresponding perimeters of similar triangles Recognize and use proportional relationships of corresponding angle bisectors, altitudes and medians of similar triangles Review Assignment P285: 15-22, 32-35 P293: 11,13,17,19,27-33,36-39 P302: 10-20even, 26-31,41,42,49,50 P312: 14-26, 33,34,46,47 P320: 11-27odd, 39,40 SKIP P323: practice quiz P331:48-54,56-58 P332:1-38 chapter review p764-p766extra practice Use online resources as well Test Date (on or about): after midterm exams 1.17.2011 Geometry Accelerated * Syllabus MP3 ** Chapter 7 Ch 6 7.1 7.2 7.3 Students will be able to: Find the geometric mean between two numbers Solve problems involving relationships between parts of a right triangle and the altitude to its hypotenuse. Use the Pythagorean Theorem Use the converse of the Pythagorean Theorem Use properties of 45˚-45˚-90˚ triangles. Use properties of 30˚-60˚-90˚ triangles. Assignment P343: sketchpad P346: 13-34,49,50 P354:12-18,22-27,42, 43,46,47 P360: 12-26,36-38,43,44 Test Date (on or about): February 24th Chapter 7 continued 7.4 7.5 7.6 7.7 Find trigonometric ratios using right triangles. Solve problems using trigonometric ratios. Solve problems involving angles of elevation. Solve problems involving angles of depression. Use the Law of Sines to solve triangles. Solve problems by using the Law of Sines. Use the Law of Cosines to solve triangles. Solve problems by using the Law of Cosines. Review P365: sketchpad P368: 22-48even, 55-58,63,64 P374: 8-11,14-16,19,25,26,28,29 P381: 16-34even 42 P384: sketchpad P388: 13-39odd P392-396 chapter review P397 chapter test P766-768 extra practice Use online resources as well Test Date (on or about): March 9th Geometry Accelerated * Syllabus MP4 ** Chapter 10 Ch 10 10.1 10.2 10.3 10.4 10.5 10.6 10.7 10.8 Students will be able to: Identify and use parts of circles. Solve problems involving the circumference of a circle. Recognize major arcs, minor arcs, semicircles, and central angles and their measures. Find arc length. Recognize and use relationships between arcs and chords. Recognize and use relationships between chords and diameters. Find the measures of inscribed angles. Find measures of angles of inscribed polygons. Use properties of tangents. Solve problems involving circumscribed polygons. Find measures of angles formed by lines intersecting on or inside a circle. Find measures of angles formed by lines intersecting outside the circle. Find measures of segments that intersect in the interior of a circle. Find measures of segments that intersect in the exterior of a circle. Write the equation of a circle. Graph a circle on the coordinate plane. Review Assignment P525: 3-55odd, 63,64,65 P532: 4-43 all P540: 11-35 odd, 41, 52 P549: 8,9,10, 13-21odd, 22-29, 46 P556: 8-20, 23-26, 33,34 P564: 12-32, 34-36, 47,48 p572: 8-19, 22-28, 34 P578: 11-33odd, 45,46 P581-586 chapter review P773-776 extra practice Use online resources as well Test Date (on or about): Geometry Accelerated * Syllabus MP3 ** Chapter 8 Ch 8 8.1 8.2 8.3 8.4 8.5 8.6 8.7 Students will be able to: Find the sum of the measures of the interior angles of a polygon. Find the sum of the measures of the exterior angles of a polygon. Recognize and apply properties of the sides and angles of parallelograms. Recognize and apply properties of the diagonals of parallelograms. Recognize the conditions that ensure a quadrilateral is a parallelogram. Prove that a set of points forms a parallelogram in the coordinate plane. Recognize and apply properties of rectangles. Determine whether parallelograms are rectangles. Recognize and apply the properties of rhombi. Recognize and apply the properties of squares. Recognize and apply the properties of trapezoids. Solve problems involving the medians of trapezoids. Review Assignment P407: 13-33odd P415: 16-36, 46,50,51 P421:13-24, 26,27,28,45,46 P428:11-24,27,42,49,50 P434;12-20,26-31,41,43,46,47 P442:12-19,22,32,42,43 skip P452-456 chapter review P769-770 extra practice Use online resources as well Test Date (on or about): Thursday, April 14 Geometry Accelerated * Syllabus