Download Geometry - Renaissance Learning

Scope and Sequence
AM™ CC Geometry Library
The Accelerated Math™ scope and sequence is based on extensive mathematics and standards research and
consultation from mathematics educators, mathematicians, and university researchers. You're sure to find objectives that
reinforce the skills you are teaching, regardless of what instructional materials you use. Accelerated Math makes it easy to
select and organize objectives to suit your textbook and your own teaching approach. This Accelerated Math library
provides the following scope and sequence of objectives
Topic 1 - Congruence, Proof,
and Constructions
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Identify a function that describes a
transformation
Determine the graph of a
transformation given a function that
describes the translation
Determine the rotations or reflections
that carry a rectangle, parallelogram,
trapezoid, or regular polygon onto
itself
Determine the coordinates of the
image of a figure's vertex after two
transformations of the same type
Determine the coordinates of the
image of a figure's vertex after two
transformations of different types
Determine a sequence of
transformations that will carry a given
figure onto another figure
Identify corresponding parts of
congruent triangles in terms of rigid
motion
Solve a problem using inequalities in a
triangle
Topic 2 - Similarity, Proof, and
Trigonometry
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Identify similar triangles using triangle
similarity postulates or theorems
Determine the length of a side or the
measure of an angle given two similar
triangles and numeric values for side
lengths or angle measure
Determine the length of a side or the
measure of an angle given two similar
triangles and algebraic expressions for
side lengths or angle measures
Determine a length in a triangle using
a midsegment and given numeric
values for lengths
Determine a length in a triangle using
a midsegment and given algebraic
expressions for lengths
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Determine a length in a triangle using
parallel lines and proportional parts
Determine a length given the
perimeters of similar triangles or the
lengths of corresponding interior line
segments
Determine a length using similar
triangles formed by the altitude to the
hypotenuse of a right triangle
WP: Determine a length in a triangle
using similarity
Complete a proof using congruence
and similarity theorems
Determine a length using the
properties of a 45-45-90 degree
triangle or a 30-60-90 degree triangle
WP: Determine a length using the
properties of a 45-45-90 degree
triangle or a 30-60-90 degree triangle
Solve a multi-step problem using the
properties of a 45-45-90 degree
triangle and/or a 30-60-90 degree
triangle
Determine a sine, cosine, or tangent
ratio in a right triangle
Determine a length using a sine,
cosine, or tangent ratio in a right
triangle
Determine the measure of an angle
using a sine, cosine, or tangent ratio in
a right triangle
Solve a problem using the
Pythagorean theorem and a sine,
cosine, or tangent ratio in a right
triangle
WP: Solve a problem involving a
complex figure using the Pythagorean
theorem
WP: Determine a length in a right
triangle using a sine, cosine, or
tangent ratio
WP: Determine the measure of an
angle in a right triangle using a sine,
cosine, or tangent ratio
P.O. Box 8036|Wisconsin Rapids, WI 54495-8036|(800) 338-4204|www.renlearn.com
© 2014 Renaissance Learning, Inc. All rights reserved.
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R56475.140114
Scope and Sequence
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Determine the area of an oblique
triangle
Solve a problem using the law of sines
for non-ambiguous cases (ASA and
AAS)
Solve a problem using the law of sines
for the ambiguous case (SSA)
Solve a problem using the law of
cosines
WP: Solve a problem using the law of
sines or the law of cosines
WP: Solve a problem involving density
and area
Topic 3 - Extending to Three
Dimensions
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Determine the volume of a right
pyramid or a right cone
Determine a measurement given the
volume of a right pyramid or a right
cone
WP: Determine a measurement given
the volume of a right pyramid or a
right cone
Determine a measurement given the
volume of a sphere
WP: Determine a measurement given
the volume of a sphere
WP: Solve a problem involving the
volume of a complex solid figure
WP: Solve a problem involving density
and volume
Determine the shape of a 2dimensional cross section of a 3dimensional object
Identify the 3-dimensional object
generated by a rotation of a 2dimensional object
Topic 4 - Connecting Algebra
and Geometry Through
Coordinates
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Determine whether lines through
points with given coordinates are
parallel or perpendicular
Determine the coordinates of a point
through which a line must pass in
order to be parallel or perpendicular to
a given line
AM™ CC Geometry Library
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Determine whether two lines are
perpendicular or parallel given the
equations of the lines
Determine an equation of a line in
slope-intercept form that goes through
a given point and is parallel or
perpendicular to a given line
Determine an equation of a line in
standard form that goes through a
given point and is parallel or
perpendicular to a given line
Determine the midpoint of a line
segment given the coordinates of the
endpoints
Solve a problem involving the midpoint
formula
Determine the point on a line segment
that divides the segment into a given
ratio
Determine the perimeter of a polygon
given the coordinates of the vertices of
the figure
Determine the area of a right triangle
or a rectangle given the coordinates of
the vertices of the figure
Derive the equation of a vertically
oriented parabola given a focus and a
directrix
Derive the equation of a horizontally
oriented parabola given a focus and a
directrix
Topic 5 - Circles With and
Without Coordinates
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Determine the length of a line
segment, the measure of an angle, or
the measure of an arc given a tangent
to a circle
Determine a length using the
relationship between chords and radii
Determine the measure of an arc or an
angle using properties of an inscribed
triangle or quadrilateral
Determine the measure of an angle
using the relationship between
inscribed angles, circumscribed angles,
and/or central angles
Determine the length of an arc
Determine the area of a sector of a
circle
Determine an equation of a circle
P.O. Box 8036|Wisconsin Rapids, WI 54495-8036|(800) 338-4204|www.renlearn.com
© 2014 Renaissance Learning, Inc. All rights reserved.
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R56475.140114
Scope and Sequence
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Determine the radius or center of a
circle given an equation
Complete the square to determine the
center or radius of a circle given the
equation
Topic 6 - Applications of
Probability
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Determine the probability of
independent events
Represent data using a two-way
frequency table
Approximate conditional probabilities
using a two-way table as a sample
space
Determine the conditional probability
of an event A given an event B
Determine the probability of an event
using the addition rule of probability,
P(A or B) = P(A) + P(B) - P(A and B)
AM™ CC Geometry Library
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Determine the probability of an event
using the multiplication rule of
probability, P(A and B) = P(A)P(B|A) =
P(B)P(A|B)
WP: Determine the number of
permutations possible in a given
situation
Determine a probability using
permutations
WP: Solve a probability problem
involving permutations
WP: Determine the number of
combinations possible in a given
situation
Determine a probability using
combinations
WP: Solve a probability problem
involving combinations
Analyze a decision or a strategy using
simple probability concepts
P.O. Box 8036|Wisconsin Rapids, WI 54495-8036|(800) 338-4204|www.renlearn.com
© 2014 Renaissance Learning, Inc. All rights reserved.
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R56475.140114
Scope and Sequence
Accelerated Math Libraries include an almost
unlimited supply of dynamic algorithm-generated
problems for both assisted-response (multiplechoice) and free-response assignments. Twenty
libraries are available:
Kindergarten
Grade 1
Grade 2
Grade 3
Grade 4
Grade 5
Grade 6
Grade 7
Grade 8
Algebra 1
Algebra 2
Geometry
Math 1
Math 2
Math 3
Probability & Statistics
Pre-Calculus
Calculus
Financial Literacy Math 1
Financial Literacy Math 2
AM™ CC Geometry Library
Please call us toll-free at 1-800-338-4204 to order
this Accelerated Math library or to request the
Scope and Sequence for other libraries.
Accelerated Math Library
AM CC Geometry Library
P.O. Box 8036|Wisconsin Rapids, WI 54495-8036|(800) 338-4204|www.renlearn.com
© 2014 Renaissance Learning, Inc. All rights reserved.
Page 4 of 4
R56475.140114