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Transcript
Revised Geometry Pacing Calendar
2013-2014, Trimesters 2 and 3
DATES
February 4-7 (4 days)
UNITS/TOPICS
UNIT 5:TRANSFORMATIONAL
GEOMETRY (cont’n)
 Mastery Quiz: Feb. 7
 ISOMETRIES: Line Reflections,
Translations, Glide Reflections,
Rotations.
 DILATIONS
 COMPOSITION OF ISOMETRIES
AND DILATIONS
February 10-14
24-28
(10 days)
 Computer Lab: 2days
[once/week]
 Midwinter Recess:
[Feb.17-21]
 Mastery quiz: Feb. 25
 Review for Unit test:
[Feb. 26]
 CUMULATIVE UNITS 5
and 6 TEST: Feb. 27.
 Feedback: Feb. 28.
UNIT 6: SIMILAR TRIANGLES
 SIMILARITY OF TRIANGLES,AA
 SIMILAR TRIANGLESCorresponding sides are in
proportion
 PROPORTIONAL SIDES OF A
TRIANGLE-overlapping similar
triangles
 SIMILAR RIGHT TRIANGLES
AIMS/LESSONS
•
•
•
•
•
•
•
•
How do we find the image of a figure under a
translation or a dilation?
How do we find the image of a figure under a rotation?
How do we find the image of a figure under a
composition of transformations?
When are two triangles similar? How are similar
triangles different than congruent triangles?
How do we find missing sides of similar triangles?
How do we find missing sides of overlapping similar
triangles?
How do we use the right triangle altitude rule?
How do we use the right triangle leg rule?
March 3-7
10-14
17-21 24 days
24-28
April 1- 4
 Computer Lab:
4days[once/week]
 Mastery Quiz: March 14
 End of Marking Pd 2
Trimester 2
[March 14]
 Parent Teacher
conference [March 2728]
 Unit Review: April 2
 Unit Test : April 3
 Feedback: April 4
April 7-11
23-25
28-30
UNIT 7: PROPERTIES OF POLYGONS
AND COORDINATE GEOMETRY
 SUM OF INTERIOR AND
EXTERIOR ANGLES OF
POLYGONS-including regular
polygons
 EACH INTERIOR AND
INTERIOR ANGLES OF
POLYGONS
 MIDPOINTS AND CENTROIDS
OF TRIANGLES
 PARALLELOGRAMS
 SPECIAL PARALLELOGRAMS
 SLOPES OF PARALLEL AND
PERPENDICULAR LINES
 FINDING EQUATIONS OF A
LINE PARALLEL OR
PERPENDICULAR TO A
GIVEN EQUATION OF A LINE
OR A GIVEN POINT ON THE
LINE.
 SOLVING QUADRATIC
LINEAR-SYSTEM OF
EQUATIONS
 PROVING PROPERTIES OF
QUADRILATERALS IN THE
COORDINATE PLANE
 EQUATIONS OF CIRCLES
 GRAPHING/SKETCHING LOCI
UNIT 8: SOLID FIGURES
11 days
 TYPES OF PRISMS AND
THEIR PROPERTIES
•
•
•
•
•
•
•
•
•
•
•
•
•
•
•
•
•
What strategies can we use to determine the sum of
the interior angles of any polygon?
What is the sum of the exterior angles of any polygon?
What is the relationship between the midsegments and
the sides of a triangle? (Extension to trapezoids)
What are the properties of a parallelogram?
How can we compare the properties of special
parallelograms: rhombi, rectangles, and squares?
What are the properties of isosceles trapezoids?
How do we write a linear equation in slope-intercept
form?
What is the relationship between equations of parallel
lines?
What is the relationship between equations of
perpendicular lines?
How do we write the equation of a line that is parallel
or perpendicular to a given line and that passes
through a given point?
How do we solve a quadratic-linear system of
equations?
How do we prove properties of figures in the
coordinate plane?
How do we write the equation of a circle?
How do we find the center of a circle or the endpoints
of the diameter?
What are the 5 types of loci? How do we sketch a
locus?
What are the features of different types of prisms?
How do we find the volume of different types of
prisms? Review what B represents in the regents
 Computer Lab : 2days
( 1/week)
 Mastery Quiz: April 11
 VOLUMES OF PRISMS
 SURFACE AREA OF
PRISMS AND CYLINDERS
 VOLUMES OF CYLINDERS,
CONE AND SPHERES
 LINES AND PLANES
 Spring Recess:
[Apr14-22]
•
•
•
•
•
 April 28: Review
formula sheet.
How do we find the volume of a cylinder?
How do we find the volume of a cone?
How do we find the volume of a sphere?
How is surface area different than volume? How do
we find the surface area of a prism and a cylinder?
How do we determine if the lines are
parallel/perpendicular to planes or if a line is coplanar
with another line?
 April 29: Unit Test
 April 30: Feedback
May 1- 2
5- 9
12-16
19-23
17 days
 End of Marking Pd
1/Trimester 3
[May 1]
 Computer Lab: 3 days
[1/week]
 Mastery Quiz : Angles
formed in a circle
[ May 15]
MAY 20 : END OF UNIT
 Unit Review: May 21
 Unit Test:
May 22
UNIT 9: MEASUREMENT IN
CIRCLES
 CENTRAL AND INSCRIBED
ANGLES
 ANGLES FORMED BY TWO
CHORDS
 ANGLES FORMED BY TWO
TANGENTS, TWO SECANTS, A
TANGENT AND A SECANT
 ANGLES IN COMBINATIONS
 PARALLEL AND CONGRUENT
CHORDS
 LENGTHS OF TANGENTS AND
SECANTS, TWO CHORDS AND
TWO SECANTS
 PARALLEL AND
PERPENDICULAR LINES IN
CIRCLES
 COMMON EXTERNAL AND
INTERNAL TANGENTS
•
•
•
•
•
•
•
•
•
•
What are the parts of a circle? What terms involving
lines/segments are associated with circles?
What is a central angle? What is the relationship
between the measure of a central angle and its
intercepted arc?
What is an inscribed angle? What is the relationship
between the measure of an inscribed angle and its
intercepted arc? What is relationship between
inscribed angles that intercept the same arc?
What is relationship between arcs that are between
two parallel chords?
What is relationship between the arcs of two congruent
chords?
What are the properties of tangents?
How do we measure an angle formed by a tangent and
a chord?
What is the relationship between angles formed by
intersecting chords?
What is the relationship between angles formed by two
intersecting secants or an intersecting secant and
tangent?
What is the relationship between segments of
intersecting chords?
 Feedback :
•
May 23
•
•
May 26-30 } 4 days
REVIEW FOR COMPREHENSIVE
FINAL EXAMS
 May 26: Memorial dayno school
 May 26-27 Review for
finals
 Comprehensive Final
Exam
[May 28-29]
 May 30 : MAKE-UP
DAY/FEEDBACK
June 2-16 } 14 days
 June 5: PD day – No
Students
REGENTS PREP
What is the relationship between segments of
intersecting secants?
What is the relationship between segments of an
intersecting tangent and secant?
What happens to a chord when a radius is
perpendicular to it?