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Knott County Schools
2012-2013 Mathematics Curriculum
Grade: Geometry
Days
Topic
KCAS
Student Friendly Learning
Target(s)
2
Algebraic
Properties
Pre-requisite
skills
2
Solving
Equations
Slope
Pre-requisite
skills
Pre-requisite
skills
Pre-requisite
skills
I can use algebraic properties
(commutative, associative,
distributive, identity, inverse,
substitution)
I can solve single step and multistep equations
I can calculate slope from two
points, graph and equation
I can write linear equations given
two points, a point and the
slope, or the graph of the
equation
2
4
Linear
Equations
G.GPE.5
5
Probability
S.CP.1
I can graph linear equations
using table of values, x- and yintercepts or slope-intercept
form
I can calculate the probability of
a simple event
S.CP.2
S.CP.3
S.CP.4
S.CP.5
S.CP.6
S.CP.7
I can use permutations and
combinations to compute
probabilities of compound
events and solve problems
Activities
Assessments
Bell Ringer
on algebraic
properties
Individual
Practice
Knott County Schools
2012-2013 Mathematics Curriculum
Grade: Geometry
S.CP.8
S.CP.9
S.MD.6
S.MD.7
2
3
Quiz
Definitions
3
Inductive and
Deductive
Reasoning
2
Conditional and
Bi-conditional
Statements
2
Parallel and
Perpendicular
Lines
G.CO.1
I can use definitions, basic
postulates and theorems about
points, segments, lines, angles,
and planes to write proofs and
to solve problems
Pre-requisite
skills
I can use inductive reasoning to
make conjectures
G.CO.9
I can use deductive reasoning to
arrive at valid conclusion
I can identify and write
conditional and biconditional
statements along with converse,
inverse, and contrapositive of a
conditional statement and use
these statements to form
conclusions
I can use various methods to
prove that two lines are parallel
or perpendicular (using
coordinates or angle measures)
Graphic Organizer
– WB p183
TB 1.3-1.4
WB p 189
Vocabulary Review
Puzzle
basic geometric
graphic organizer
Knott County Schools
2012-2013 Mathematics Curriculum
Grade: Geometry
3
Proofs
G.CO.9
G.C0.10
3
3
2
1
1
1
Congruent
Triangles
G.CO.11
G.CO.7
I can read and write different
types and formulas of proofs
including two-column, flowchart,
paragraph, and indirect proofs
I can prove triangles are
congruent by SSS, SAS, ASA, AAS,
and HL
I can use the principle that
corresponding parts of
congruent triangles are
congruent to solve problems
Similar Triangles
G.SRT.2
I can use several methods to
G.SRT.3
prove similarity, including AA,
G.SRT.5
SAS, SSS, corresponding sides are
proportional, and corresponding
angles are congruent
Quiz on congruent and similar triangles – 10 MC
Benchmark 1
Plane Figures
G.CO.1
I can identify and model plane
figures, including collinear and
noncollinear points, lines,
segments, rays and angles using
appropriate mathematical
symbols
Angles
G.CO.9
I can identify vertical, adjacent,
complementary, and
supplementary angles and use
Congruent
Triangles Graphic
Organizer
Knott County Schools
2012-2013 Mathematics Curriculum
Grade: Geometry
them to solve problems
3
Transversals
G.CO.9
I can identify corresponding,
same-side interior, same-side
exterior, alternate interior, and
alternate exterior angles formed
by a pair of parallel lines and a
transversal. Use these angles to
solve problems
I can apply properties and
theorems of parallel and
perpendicular lines to solve
problems
2
Constructions
G.CO.12
I can use construction
techniques, including ruler and
compass, to bisect and trisect
segments and to create parallel
and perpendicular lines,
perpendicular bisectors, and
angle bisectors
1
Locus
2
1
I can locate, describe and draw a
locus in a plane or space
Quiz on Transversals – 15 MC, 1 CR
Triangles
G.CO.10
G.CO.13
I can identify and classify
triangles by their sides and
angles
Knott County Schools
2012-2013 Mathematics Curriculum
Grade: Geometry
2
Triangles
G.CO.10
I can identify medians, altitudes,
perpendicular bisectors, and
angles bisectors of triangles and
use their properties to solve
problems (find points of
concurrency, segment length, or
angle measure)
1
Triangles
G.CO.10
I can apply Triangle Inequality
Theorem to determine if a
triangle exist and the order of
sides and angles
1
Triangles
G.CO.10
I can solve problems involving
the relationships formed when
the altitude to the hypotenuse of
a right triangle is drawn
2
Pythagorean
Theorem
G.SRT.8
I can apply the Pythagorean
Theorem and its converse to
triangles to solve mathematical
and real world problems
I can identify and use
Pythagorean triples in right
triangles to find lengths of the
unknown side
2
5
Quiz on Triangles and Pythagorean Theorem – 20 MC, 2 CR
Quadrilaterals
Identify and classify
quadrilaterals, including
Knott County Schools
2012-2013 Mathematics Curriculum
Grade: Geometry
parallelograms, rectangles,
rhombi, squares, kites,
trapezoids, and isosceles
trapezoids and their properties
2
1
Quiz on Quadrilaterals – 15 MC, 1 CR
Polygons
I can identify and classify regular
and non-regular polygons
(pentagons, hexagons,
heptagons, octagons, nonagons,
decagons, dodecagons) based on
the number of sides, the angle
measures, and the side length
1
Angle Sum
Theorem
G.CO.10
I can apply the Angle Sum
Theorem for triangles and
polygons to find interior and
exterior angles measures given
the number of sides, to find the
number of sides given angle
measures and to solve real
1
Isosceles
Triangle
G.CO.13
I can apply the Isosceles Triangle
Theorem and its converse to
triangles to solve mathematical
and real
2
5
Quiz on Polygons – 10 MC, 1CR
Circles
G.C.1
I can identify and define line
segments associated with circles
Knott County Schools
2012-2013 Mathematics Curriculum
Grade: Geometry
G.C.2
G.C.3
2
2
Quiz on Circles – 10 MC, 1 CR
Prisms
G.MG.1
G.MG.2
(radii, diameters, chords,
secants, tangents)
I can determine the measure of
central and inscribed angles and
their intercepted arcs
I can find segment lengths, angle
measures, and intercepted arc
measures formed by chords,
secants, and tangents
intersecting inside and outside
circles
I can solve problems using
inscribed and circumscribed
polygons
I can identify and classify prisms
I can describe and draw cross
sections of prisms
G.MG.3
G.MG.4
1
1
Benchmark 2
Symmetry
1
Congruent
Polygons
G.CO.4
I can determine points or lines of
symmetry and apply the
properties of symmetry to
figures
G.SRT.5
I can identify congruent figures
Knott County Schools
2012-2013 Mathematics Curriculum
Grade: Geometry
G.SRT.4
and their corresponding parts
G.CO.8
5
Similar Polygons
G.CO.11
G.SRT.2
G.SRT.3
G.SRT.6
2
2
I can identify similar figures and
use ratios and proportions to
solve mathematical and realworld problems
I can use the definition of
similarity to establish the
congruence of angles,
proportionality of sides, and
scale factor of two similar
polygons
I can apply relationships
between perimeters of similar
figures, areas of similar figures,
and volumes of similar figures, in
terms of scale factor, to solve
mathematical and real-world
problems
Quiz on Similar Figures – 15 MC, 1 CR
Transformations
G.CO.4
I can identify and draw images of
transformations and use their
G.CO5
properties to solve problems
G.CO.3
G.CO.6
Knott County Schools
2012-2013 Mathematics Curriculum
Grade: Geometry
1
Geometric
Mean
Pre-requisite
skills
I can determine the geometric
mean between two numbers and
use it to solve problems
2
Similar Solids
G.SRT.5
I can identify and give properties
of congruent or similar solids
G.SRT.4
G.CO.8
2
1
5
2
G.CO.11
Quiz on Transformations – 15 MC, 2 CR
Benchmark 3
Area and
G.MG.1
I can find the perimeter and area
Perimeter
of common plane figures,
including triangles,
quadrilaterals, regular polygons,
and irregular polygons
I can manipulate perimeter and
area formulas to solve problems
(find missing length)
I can use area to solve problems
involving geometric probability
I can find the area of a circle and
the area of a sector of a circle
Arc Length and
Circumference
G.C.1
G.C.2
I can find arc lengths and
circumferences of circles from
given information (radius,
diameter, coordinates)
Knott County Schools
2012-2013 Mathematics Curriculum
Grade: Geometry
2
10
Quiz on Area and Perimeter – 15 MC, 2 CR
Surface Area
G.GMD.1
I can find the lateral area,
and Volume
surface area and volume of
G.GMD.3
prisms, cylinders, cones and
pyramids
I can use cross sections of
prisms, cylinders, pyramids, and
cones to solve volume problems
I can find the surface area and
volume of a sphere in
mathematical and real-world
settings
2
10
Quiz on Surface Area and Volume – 20 MC, 2 CR
Trigonometric
G.SRT.7
I can apply properties of 45-45Ratios
90 and 30-60-90 triangles to
G.SRT.8
determine lengths of sides of
triangles
G.SRT.11
I can find the sine, cosine, and
tangent ratios of acute angles
G.SRT.10
given the side lengths of right
G.SRT.9
triangles
I can use trigonometric ratios to
find the sides or angles of right
triangles and to solve real-world
problems (angles of elevation
and depression)
2
1
Quiz on Trigonometric Ratios – 15 MC, 2 CR
Benchmark 4
Knott County Schools
2012-2013 Mathematics Curriculum
Grade: Geometry
3
Slope
G.GPE.5
I can use slope to distinguish
between and write equations for
parallel and perpendicular lines
2
Midpoint and
Distance
Formulas
G.GPE.4
I can apply midpoint and
distance formulas to points and
segments to find midpoints,
distances, and missing
information
G.GPE.7
G.GPE.6
2
Coordinate
Geometry
G.GPE.4
G.GPE.7
G.GPE.6
1
Circles
G.C.1
G.C.2
G.GPE.1
4
Transformations
G.CO4
G.CO.5
G.CO.3
2
1
I can use coordinate geometry to
solve problems about geometric
figures (segments, triangles,
quadrilaterals)
I can write equations for circles
in standard form and solve
problems using equations and
graphs
I can determine the effect of
reflections, rotations,
translations, and dilations and
their compositions on the
coordinate plane
G.CO.6
Quiz on Coordinate Geometry – 10 MC, 1 CR
Benchmark 5
Knott County Schools
2012-2013 Mathematics Curriculum
Grade: Geometry