Geometry Quarter 4 Curriculum Map
2014-15
CCSS for Mathematical Practice:
1. Make sense of problems and persevere in solving them
2. Reason abstractly and quantitatively
3. Construct viable arguments and critique the reasoning of others
4. Model with mathematics
5. Use appropriate tools strategically
6. Attend to precision
7. Look for and make use of structure
8. Look for and express regularity in repeated reasoning
Similarity
Unit 8: Similarity
7 days
G.SRT.2 Given two figures, use the
for
definition of similarity in terms of
instructio similarity transformations to decide if they
n and
are similar; explain using similarity
review
transformations the meaning of similarity
for triangles as the equality of all
1 day for corresponding pairs of angles and the
assessme proportionality of all corresponding pairs of
nt
sides.
G.SRT.3 Use the properties of similarity
transformations to establish the AA
criterion for two triangles to be similar.
G.SRT.4 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.
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Review Standards
(M)ajor Content,
(S)upporting Content
(A)dditional Content
(+) Honors
Textbook Resource: Pearson’s Geometry Common Core Pearson’s online resource: www.pearsonsuccess.net Insert Constructions as appropriate throughout. 4th Quarter
Find side lengths in similar
polygons using proportions
Prove that triangles are similar
Identify corresponding parts of
similar triangles
Compare perimeters and areas
of similar polygons
Compare surface areas and
volumes of similar solids
Suggested Instructional Days:
Page 282
5-1 Midsegments of
Midsegment of a
Triangles
triangle
7-1 Ratios and
Proportions
Page 430
7-2 Similar Polygons
Extremes of a
7-3 Proving Triangles
proportion
Similar
Geometric mean
7-4 Similarity in Right
Indirect
Triangles
measurement
7-5 Proportions in
Means of a
Right Triangles
proportion
10-4 & 11-7 Areas and
Proportion
Volumes of Similar
Ratio
Solids
Scale drawing
Scale factor
Similar
Similar polygons
Similar solids
G.SRT.5 Use congruence and similarity
criteria for triangles to solve problems and
to prove relationships in geometric figures.
G.SRT.1 Verify experimentally the
properties of dilations given by a center and
a scale factor:
Revised 6/12/14
Geometry Quarter 4 p. 1
Geometry Quarter 4 Curriculum Map
2014-15
Unit 9: Circles
Circles
Conics
6 days
for
instructio
n and
review
1 day for
assessme
nt
G.C.1 Prove that all circles are similar.
G.C.2 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 the circle.
G.C.5 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 for
the area of a sector.
4th Quarter
Prove relationships between
angles and arcs in a circle
Find the measure of angles,
arcs, and segments when lines
intersect a circle
Find the equation of a circle in
the coordinate plane
Suggested Instructional Days:
Pg. 760
chord
inscribed angle
intercepted arc
locus
point of tangency
secant
standard form of an
equation of a circle
tangent of a circle
12-1 Tangent Lines
12-2 Chords and Arcs
12-3 Inscribed Angles
12-4 Angle Measures
and Segment Lengths
12-5 Circles in the
Coordinate Plane
Supplement completing
the square into the
circle’s coordinate
geometry.
G.GPE.1 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.
G.GPE.2 Derive the equation of a parabola
given a focus and directrix.
(+)G.GPE.3(+)Derive the equation of a
parabola given a focus and directrix.
Quarter 4 Assessment
Additional Resources:
Inscribing and Circumscribing Right Triangles: http://map.mathshell.org/materials/lessons.php?taskid=403&subpage=problem
Geometry Problems: Circles & Triangles: http://map.mathshell.org/materials/lessons.php?taskid=222&subpage=problem
Circles in Triangles: http://map.mathshell.org/materials/tasks.php?taskid=256&subpage=apprentice
Temple Geometry: http://map.mathshell.org/materials/tasks.php?taskid=261&subpage=apprentice
Solving Quadratic Equations: Cutting Corners: http://map.mathshell.org/materials/lessons.php?taskid=432&subpage=problem
Equations of Circles 2: http://map.mathshell.org/materials/lessons.php?taskid=425&subpage=concept
Arcs & Tangents with rt. Triangle trig (satellite): http://www.illustrativemathematics.org/illustrations/41
Revised 6/12/14
Geometry Quarter 4 p. 2
Geometry Quarter 4 Curriculum Map
2014-15
NOTES/REFLECTIONS:
Revised 6/12/14
Geometry Quarter 4 p. 3