Mill Creek High School

Ηλεκτρονική - Συσκευές

10 Οκτ 2013 (πριν από 4 χρόνια και 9 μήνες)

145 εμφανίσεις

The syllabus may be updated as needed throughout the semester.

Mill Creek

High School

H
IGH
S
CHOOL
C
OURSE
S
YLLABUS

C
OURSE
T
ITLE

.....
G
EOMETRY CC STRATEGIE
S

T
ERM

.........................
Fall 2013

T
EACHER

.............
Rodney Potter

ROOM

#
.......................
1.6
35

Teacher Web Page

Rodney_potter
@gwinnett.k12.ga.us

Teacher Support

(Help sessions etc.)

ckthe math department tutoring schedule posted in my room
.

C
OURSE
D
ESCRIPTION

Support class for Geometry CC,
the second in a sequence of mathematics courses designed to prepare students to enter
college at the calculus level. It includes complex number
s, quadratic, piece wise, and exponential functions; right triangles,
and right triangle trigonometry; properties of circles; and statistical inference.

Prerequisites
:

Algebra I CC

C
OURSE
C
URRICULUM
C
ONTENT

The entire list of Academic, Knowledge and Skil
ls for each of the following curriculum strands in this course can be accessed through the
www.gwinnett.k12.ga.us

AKS

C
-

Geometry

use geometric descriptions of rigid motions to trans
form figures and to predict the effect of a given rigid motion on
a given figure; given two figures, use the definition of congruence in terms of rigid motions to decide if they are
congruent (CCGPS) (MAGE_C2013
-
25)

use the definition of congruence in ter
ms of rigid motions to show that two triangles are congruent if and only if
corresponding pairs of sides and corresponding pairs of angles are congruent (CCGPS) (MAGE_C2013
-
26)

explain how the criteria for triangle congruence (ASA, SAS, and SSS) follow fr
om the definition of congruence in
terms of rigid motions (CCGPS) (MAGE_C2013
-
27)

prove theorems about lines and angles. Theorems include: vertical angles are congruent; when a transversal
crosses parallel lines, alternate interior angles are congruent an
d corresponding angles are congruent; points on
a perpendicular bisector of a line segment are exactly those equidistant from the segment’s endpoints (CCGPS)
(MAGE_C2013
-
28)

prove theorems about triangles. Theorems include: measures of interior angles of
a triangle sum to 180 degrees;
base angles of isosceles triangles are congruent; the segment joining midpoints of two sides of a triangle is
parallel to the third side and half the length; the medians of a triangle meet at a point (CCGPS) (MAGE_C2013
-
29)

prove theorems about parallelograms. Theorems include: opposite sides are congruent, opposite angles are
congruent, the diagonals of a parallelogram bisect each other, and conversely, rectangles are parallelograms with
congruent diagonals (CCGPS) (MAGE_C20
13
-
30)

make formal geometric constructions with a variety of tools and methods (compass and straightedge, string,
reflective devices, paper folding, dynamic geometric software, etc.). Copying a segment; copying an angle;
bisecting a segment; bisecting an
angle; constructing perpendicular lines, including the perpendicular bisector of a
line segment; and constructing a line parallel to a given line through a point not on the line (CCGPS)
(MAGE_C2013
-
31)

construct an equilateral triangle, a square, and a re
gular hexagon inscribed in a circle (CCGPS) (MAGE_C2013
-
32)

verify experimentally the properties of dilations given by a center and a scale factor: a) a dilation takes a line not
The syllabus may be updated as needed throughout the semester.

passing through the center of the dilation to a parallel line, and leaves a
line passing through the center
unchanged b) the dilation of a line segment is longer or shorter in the ratio given by the scale factor (CCGPS)
(MAGE_C2013
-
33)

given two figures, use the definition of similarity in terms of similarity transformations to d
ecide if they are similar;
explain using similarity transformations the meaning of similarity for triangles as the equality of all corresponding
pairs of angles and the proportionality of all corresponding pairs of sides (CCGPS) (MAGE_C2013
-
34)

use the pr
operties of similarity transformations to establish the AA criterion for two triangles to be similar
(CCGPS) (MAGE_C2013
-
35)

prove theorems about triangles. Theorems include: a line parallel to one side of a triangle divides the other two
proportionally,
and conversely; the Pythagorean Theorem proved using triangle similarity (CCGPS)
(MAGE_C2013
-
36)

use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric
figures (CCGPS) (MAGE_C2013
-
37)

understand tha
t by similarity, side ratios in right triangles are properties of the angles in the triangle, leading to
definitions of trigonometric ratios for acute angles (CCGPS) (MAGE_C2013
-
38)

explain and use the relationship between the sine and cosine of complemen
tary angles (CCGPS) (MAGE_C2013
-
39)

use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems (CCGPS)
(MAGE_C2013
-
40)

prove that all circles are similar (CCGPS) (MAGE_C2013
-
41)

identify and describe relationships
among inscribed angles, radii, and chords (include the relationship between
central, inscribed, and circumscribed angles; inscribed angles on a diameter are right angles; the radius of a circle
is perpendicular to the tangent where the radius intersects th
e circle) (CCGPS) (MAGE_C2013
-
42)

construct the inscribed and circumscribed circles of a triangle, and prove properties of angles for a quadrilateral
inscribed in a circle (CCGPS) (MAGE_C2013
-
43)

construct a tangent line from a point outside a given circ
le to the circle (CCGPS) (MAGE_C2013
-
44)

derive using similarity the fact that the length of the arc intercepted by an angle is proportional to the radius, and
define the radian measure of the angle as the constant of proportionality; derive the formula f
or the area of a
sector (CCGPS) (MAGE_C2013
-
45)

derive the equation of a circle of given center and radius using the Pythagorean Theorem; complete the square to
find the center and radius of a circle given by an equation (CCGPS) (MAGE_C2013
-
46)

derive th
e equation of a parabola given a focus and directrix (CCGPS) (MAGE_C2013
-
47)

use coordinates to prove simple geometric theorems algebraically. (CCGPS) (MAGE_C2013
-
48)

give an informal argument for the formulas for the circumference of a circle, area of a

circle, volume of a cylinder,
pyramid, and cone. Use dissection arguments, Cavalieri’s principle, and informal limit arguments (CCGPS)
(MAGE_C2013
-
49)

give an informal argument using Cavalieri’s principle for the formulas for the volume of a sphere and o
ther solid
figures (CCGPS) (MAGE_C2013
-
50)

use volume formulas for cylinders, pyramids, cones, and spheres to solve problems (CCGPS) (MAGE_C2013
-
51)

E
-

Numbers

explain how the definition of the meaning of rational exponents follows from extending the
properties of integer
exponents to those values, allowing for a notation for radicals in terms of rational exponents (CCGPS)
(MAGE_E2013
-
65)

solve quadratic equations with real coefficients that have complex solutions (CCGPS) (MAGE_E2013
-
71)

The syllabus may be updated as needed throughout the semester.

I
N
STRUCTIONAL
M
ATERIALS AND
S
UPPLIE
S

Published Materials

Instructional Supplies

Holt McDougal Analytic Geometry, Georgia Edition

1)

Pen and Pencil

2)

Graph Paper

3) Calculator

E
VALUATION AND
G

Assignments

Class
w
ork

Quizzes

Tests

Performance Final

Final Exam

Class
room

3
5
%

Summative Assessment
s

45
%

Performance Final 5%

Multiple Choice Final

15
%

A:

90 and above

B:

80

89

C:

74

79

D:

70

73

F:

69 or below

O
THER
I
NFORMATION

Expectations

for

1)

Thin
k

2)

Be persisten
t

3)

4)

5)

Participate constructively as a team member

6)

Review multiple sources of information
.

Online textbook

millcreekhighschool.org