Download List of concepts and skills that the students learned in the second

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)