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Geometry Rolling Hills Prep School - Math Department nd rd 2009-2010 - 2 and 3 Trimester Teacher : Mr. George PAL List of concepts and skills that the students learned in the second and third trimester, and of assigned homeworks. Chapter 5 – Properties of Triangles Students use properties of special lines and segments related to triangles. Week of Homeworks Day # 01/04 Use properties of perpendicular bisectors Use properties of angle bisectors to identify equal distances. (5-1) 1 2 01/11 HW p.268 #8-13 all, 17,19; p.270 32 Construct the perpendicular bisectors of a triangle to find the circumcenter. Construct the angle bisectors of a triangle to find the incenter. (5-2) HW p. 275-276 10-13all, 15,17,19,22 Use properties of medians (intersect in the centroid) and altitudes (intersect in the orthocenter) of a triangle (5-3) 1 2 3 HW p 282 #8-11all and 17-23 odds Identify the midsegment of a triangle and use the midsegment theorem to solve problems (5-4) HW p 290 #12-16 all and 17-29 odds Use triangle measurements to decide which side is longest or which angle is largest. Use the exterior angle inequality and the triangle inequality(5-5) HW p. 298 #6-19, 24, 25 all 01/18 ML King Day – No school on Monday 1 2 Read and write an indirect proof. Use the hinge theorem and its converse to compare side lengths and angle measures. (5-6) Properties of Triangles and Triangle Inequalities Review HW p.305 #7-15 all 17-23 odds, 24 Geometry Rolling Hills Prep School - Math Department nd rd 2009-2010 - 2 and 3 Trimester Teacher : Mr. George PAL Chapter 6 – Quadrilaterals Students classify special quadrilaterals; use their properties to write proofs. They also learn how to find areas of triangles and quadrilaterals. Week of Day # 1/25/10 2 Lesson Plans Agendas and Homeworks Quadrilaterals Identify, name and describe polygons, use the sum of the measures of the interior angles of a quadrilateral (6-1) HW p. 325-326 12-20 all, 31-45odds Parallelograms - Use properties of parallelograms(6-2) 3 2/1/10 1 HW p. 334 #20-31all and 33-39 odds Parallelograms - Converse theorems to prove that a quadrilateral is a parallelogram. Use coordinate geometry with parallelograms (6-3) HW p. 342, 343 #9-15 all, 17 - 25odds Use properties of sides, angles and diagonals of rhombuses, squares and rectangles (6-4) 2 3 2/8/10 1 2 HW p. 351-352 #12-21 all ; #33-43 odds Find areas of quadrilaterals p. 376 #14-25 all and 27-37 odds Use properties of trapezoids and kites(6-5) HW p. 359-360 #10-18 all #19-37 odds Identify special quadrilaterals. Proofs related to trapezoids and rhombuses (6-6) HW p. 367-368 #8-18 #19-39 odds Geometry Rolling Hills Prep School - Math Department nd rd 2009-2010 - 2 and 3 Trimester Teacher : Mr. George PAL Chapter 8 – Similarity Students prove triangles are similar given information about sides and angles. They solve problems using properties of similar polygons and proportions. Week of Day # 2/22 Lesson Plans Agendas and Homeworks Similarity Use ratios and proportions (8-1) 1 HW p. 461 10-16 all, 17-23, 29, 37-41, 55, 57 odds Use properties of proportions (8-2) 2 HW p. 468 9-14, 17-19 all, 25-29 odds, 30 3 Similar polygons (8-3) Proportionality Statements 3/1 HW p. 476 #8-10 all ; #11-17, 29,39, 41 odds Similar triangles (8-4) 1 HW p. 483 #9-17 all #19-25, 35-43 odds Use similarity theorems (8-5) 2 3 HW p. 492 #6-9 all #11-17 odds Proportions and similar triangles (8-6) Triangle Proportionality Theorem HW p. 502 #11-14 all #15-27 odds Geometry Rolling Hills Prep School - Math Department nd rd 2009-2010 - 2 and 3 Trimester Teacher : Mr. George PAL Chapter 9 – Right Triangles and Trigonometry Students learn properties related to right triangles, similar right triangles and special right triangles and then apply them to solve trigonometry problems. Week of Day # 3/15 2 3 3/22 1 Lesson Plans Agendas and Homeworks Similar Right Triangles (9-1) HW p. 531 #13-18 all Altitude Theorem. Leg Theorem. Use the geometric mean to solve problems HW Complete the checkpoint problems of the guided notes Use the of the Pythagorean Theorem to solve real life problems (9-2) HW p. 538-540 #7-15 all, #17-35 and 39 odds Use the of the Pythagorean Theorem and its converse to solve problems (9-3) 2 HW p. 546-547 #8-13 all, #15-37 odds 3 4/16 1 Quiz The Altitude Theorem, the Leg Theorem and the Pythagorean Theorem Pythagorean Theorem Proofs – In-class project Spring Break: March 26 – April 12 Begin of the Third Trimester Special right triangles (9-4) HW p. 554-556 #12-21, 23, 25, 27, 31 all Trigonometric Ratios (9-5) 2 4/19 1 HW p. 562-563 #10-27 all Solving Right Triangles (9-6) HW p. 570-571 570 #14-24 all, #23-33 odds, #34-38 all Geometry Rolling Hills Prep School - Math Department nd rd 2009-2010 - 2 and 3 Trimester Teacher : Mr. George PAL Chapter 10 – Circles Students learn properties of tangents to circles, properties of arcs and chords of circles. They use angles, arc measures related to circles and properties of inscribed polygons to solve problems. Agenda Agenda’s Date Homework Identify segments and lines related to circles (10-1) Center, radius, diameter, chord, secant, tangent, concentric circles, tangent circles, interior and exterior of a circle. Use properties of a tangent of a circle: point of tangency, congruent tangent segments. HW Due Dates (Blocks) Wed 4/28 C, Fri 4/30 D, Thu 4/29 Fri 4/30 C Mon. 5/3 D Tue 5/4 F HW p. 599 #9-28 all, 37, 39, 47 Congruent tangent segments – Quadratic equations 5/3 C,D (5/4 F) HW. Solve equations Wed5/5 C,D Use properties of arcs and chords of circles (10-2) Central angle, minor arc, major arc, semicircle, the measure of a minor arc, congruent arcs, diameter perpendicular to a chord theorem and its converse, finding the center of a circle Tue 5/4 F, Wed. 5/5 C, D HW p. 607 #12-19 all, #21-47 odds 5/7 C 5/6 F Inscribed Angles (10-3). Intercepted arc, use properties of inscribed polygons Angle relationships in circles (10-4). Angles formed by a tangent and a chord. Thu 5/6 F, Fri 5/7 C, D HW p. 617-618 #9-14 all, #15-35 odds 5/10 C p. 624-625 #8-13 all 5/7 F Geometry Rolling Hills Prep School - Math Department nd rd 2009-2010 - 2 and 3 Trimester Teacher : Mr. George PAL Chapter 11 – Areas Students find measures of interior and exterior angles of polygons, and find areas of polygons and circles. They investigate the circumference, arc length, area of a sector of a circle. Agenda’s Date Agenda Homework Find the measures of interior and exterior angles 5/16 HW Due Dates (Blocks) 5-19 p. 665 #6-19 all, 23, 25, 29-35 odds Find the area of regular polygon. Equilateral triangle: 5/19 5/21 p. 672 #9-15 all, 17-31 odds Find the circumference of a circle and the length of a circular arc. 5/21 5/24 p. 686-687 #15-22 all, 25-29 odds Find the area of a circle and a sector of a circle 5/26 5/24 p. 695-697 #10-13 all, 15-27, 35, 37 odds Chapter 12 – Solids Students investigate the surface area and volume of solids. Agenda Agenda’s Date Homework Surface Areas of Prisms and Cylinders 6/2 HW p.732-733 #13-19 all, #21-37 odds Surface Areas of Pyramids and Cones 6/4 HW p. 738-739 #14-16 all, 17-31 odds Volumes 6/5 HW. p. 746-747 #10-14all, 15-33 odds p. 755 #8-10 all, 11-25 odds, p.762763 #10-12 and 20-22 all HW Due Dates (Blocks)