Geometry Pacing Guide
Common Core – Fairchild Wheeler magnet
Textbook: Holt McDougal
Date
Date Taught
Planned
1
2
Textbook
Section
3-5/3-6
1-6
10-3
Topic
NC SCOS Standard
Slopes of Lines
G.GPE.5 Use coordinates to prove simple
geometric theorems algebraically
Lines in the
Coordinate Plane
Prove the slope criteria for parallel and perpendicular
lines and use them to solve geometric problems (e.g.,
find the equation of a line parallel or perpendicular to a
given line that passes through a given point).
Midpoint and
Distance in the
Coordinate Plane
G.GPE.7 Use coordinates to prove simple
geometric theorems algebraically
Formulas in Three
Dimensions
Supplementary Materials
Use coordinates to compute perimeters of polygons and
areas of triangles and rectangles, e.g., using the distance
formula.*
G.GMD. 1,3 Explain Volume Formulas and
Use Them to Solve Problems
3
1-1
Understanding
Points, Lines, and
Planes
3. 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.
7. Use volume formulas for cylinders, pyramids, cones,
and spheres to solve problems.*
Know precise definitions of angle, circle, perpendicular
line, parallel line, and line segment, based on the
undefined notions of point, line, distance along a line,
and
distance around a circular arc.
4
1-2
Measuring Segments
G.CO.12 Make geometric constructions
Make formal geometric constructions with a variety of
tools and methods (compass and straightedge, string,
reflective devices, paper folding, dynamic geometric
software, etc.).
5
1-3
Measuring Angles
G.CO.12 Make geometric constructions
??Construct segment and
segment bisector using
compass and straightedge,
string, reflective devices,
paper folding, dynamic
geometric software, etc.
??Construct angle and angle
bisector using compass and
Make formal geometric constructions with a variety of
tools and methods (compass and straightedge, string,
reflective devices, paper folding, dynamic geometric
software, etc.).
6
1-4/1-5
7
8
9
Test
2-5
2-1/2-2
10
2-3-2-5
11
2-6/2-7
12
3-1
Pairs of Angles
G.CO.1 Experiment with transformations in
the plane
Using Formulas in
Geometry
Know precise definitions of angle, circle, perpendicular
line, parallel line, and line segment, based on the
undefined notions of point, line, distance along a line,
and distance around a circular arc.
G.C.1 Understand and apply theorems about circles.
1. Prove that all circles are similar.
Algebraic Proofs
Conditional,
Converse,
Biconditional
Negation, Inverse,
Contrapositive
Geometric Proofs
(Proving Angles)
G.CO.10 Prove Geometric Theorems
G.CO.10 Prove Geometric Theorems
Lines and Angles
G.CO.9 Prove Geometric Theorems
straightedge, string,
reflective devices, paper
folding, dynamic geometric
software, etc.
G.CO.10 Prove Geometric Theorems
G.CO.10 Prove Geometric Theorems
Prove theorems about lines and angles. Theorems
include: vertical angles are congruent; when a
transversal crosses parallel lines, alternate interior
angles are congruent and corresponding angels are
congruent; points on a perpendicular bisector of a line
segment are exactly those equidistant from the
segment’s endpoints.
13
3-2/3-3
Angles Formed by
parallel Lines and
Transversals
Proving Parallel
Lines
14
3-4
Perpendicular Lines
G.CO.9 Prove Geometric Theorems
Prove theorems about lines and angles. Theorems
include: vertical angles are congruent; when a
transversal crosses parallel lines, alternate interior
angles are congruent and corresponding angels are
congruent; points on a perpendicular bisector of a line
segment are exactly those equidistant from the
segment’s endpoints.
G.CO.1 Experiment with transformations in
the plane
??Construct Parallel and
Perpendicular Lines
Know precise definitions of angle, circle, perpendicular
line, parallel line, and line segment, based on the
undefined notions of point, line, distance along a line,
and distance around a circular arc.
15
16
Test
4-1
Classifying Triangles
G.CO.1 Experiment with transformations in
the plane
Know precise definitions of angle, circle, perpendicular
line, parallel line, and line segment, based on the
undefined notions of point, line, distance along a line,
and distance around a circular arc.
17
4-2
Angle Relationships
in Triangles
G.CO.1 Experiment with transformations in
the plane
Know precise definitions of angle, circle, perpendicular
line, parallel line, and line segment, based on the
undefined notions of point, line, distance along a line,
and distance around a circular arc.
18
4-3
Congruent Triangles
G.CO.6, 7 ,8 Understand Congruency in Terms
of Rigid Motion
6. Use geometric descriptions of rigid motions to
transform 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.
7. Use the definition of congruence in terms 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.
8. Explain how the criteria for triangle congruence
(ASA, SAS, and SSS) follow from the definition of
congruence in terms of rigid motions
19
4-4/4-5
Triangle Congruence:
SSS and SAS
G.CO.6, 7 ,8 Understand Congruency in Terms
of Rigid Motion
Triangle Congruence:
ASA, AAS, and HL
6. Use geometric descriptions of rigid motions to
transform 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.
7. Use the definition of congruence in terms 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.
** Introduce Congruent
Postulates**
8. Explain how the criteria for triangle congruence
(ASA, SAS, and SSS) follow from the definition of
congruence in terms of rigid motions
20
4-5/4-6
Triangle Congruence:
ASA, AAS, and HL
G.CO.6, 7 ,8 Understand Congruency in Terms
of Rigid Motion
**Use Congruent
Postulates **
6. Use geometric descriptions of rigid motions to
transform 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.
7. Use the definition of congruence in terms 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.
8. Explain how the criteria for triangle congruence
(ASA, SAS, and SSS) follow from the definition of
congruence in terms of rigid motions
Triangle Congruence:
CPCTC
*Complete Formal
Proofs**
21
4-7
Intro to Coordinate
Proofs
G.GPE 4, 7 Use coordinates to prove simple
geometric theorems
algebraically
4. Use coordinates to prove simple geometric theorems
algebraically.
7. Use coordinates to compute perimeters of polygons
and areas of triangles and rectangles, e.g., using the
distance formula.*
22
23
24
25
4-8
Review
Test
5-1
Isosceles and
Equilateral Triangles
G.CO.10 Prove Geometric Theorems
Perpendicular and
Angle Bisectors
G.CO.9 Prove Geometric Theorems
Prove theorems about triangles. Theorems include:
measures of interior angles of a triangle sum to 180°
base angles of isosceles triangles are congruent; the
segmeny joining midpoints of two sides of a triangle is
parallel to the third side and half the length; the
medians of triangle meet at a point.
Prove theorems about lines and angles. Theorems
include: vertical angles are congruent; when a
transversal crosses parallel lines, alternate interior
angles are congruent and corresponding angels are
congruent; points on a perpendicular bisector of a line
segment are exactly those equidistant from the
segment’s endpoints.
??Construct Perpendicular
Bisectors
26
5-2
Bisectors of Triangles G.CO.10 Prove Geometric Theorems
Prove theorems about triangles. Theorems include:
measures of interior angles of a triangle sum to 180°
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.
27
5-3
Medians and
G.CO.10 Prove Geometric Theorems
Altitudes of Triangles Prove theorems about triangles. Theorems include:
measures of interior angles of a triangle sum to 180°
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.
28
29
30
5-4
5-5/5-6
5-5
The Triangle
Midsegment
Theorem
G.CO.10 Prove Geometric Theorems
Indirect Proof and
Inequalities in One
Triangle
G.CO.10 Prove Geometric Theorems
Inequalities of Two
Triangles
Indirect Proofs
Prove theorems about triangles. Theorems include:
measures of interior angles of a triangle sum to 180°
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.
Prove theorems about triangles. Theorems include:
measures of interior angles of a triangle sum to 180°
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.
G.CO.10 Prove Geometric Theorems
Prove theorems about triangles. Theorems include:
measures of interior angles of a triangle sum to 180°
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.
31
5-7
32
5-8
The Pythagorean
Theorem
Applying Special
Right Triangles
G.SRT.8 Define Trigonometric Ratios and
Solve Problems Involving Right Triangles
Use trigonometric ratios and the Pythagorean Theorem
to solve right triangles in applied problems.*
33
34
Review
Test
35
36
6-1
6-2/6-3
Properties and
Attributes of
Polygons
G.CO.11 Prove Geometric Theorems
Properties of
Parallelograms
G.CO.11 Prove Geometric Theorems
Conditions of
Parallelograms
37
6-4/6-5
Properties of Special
Parallelograms
Conditions of Special
Parallelograms
38
39
40
41
6-6
Review
Test
7-1/7-2
Properties of Kites
and Trapezoids
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.
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.
G.CO.11 Prove Geometric Theorems
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.
G.CO.11 Prove Geometric Theorems
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.
Ratio and Proportions G.SRT. 4, 5 Prove Theorems Involving
Similarity
4. Prove theorems about triangles. Theorems include: a
Ratios in Similar
line parallel to one side of a triangle divides the other
Polygons
two proportionally, and conversely; the Pythagorean
Theorem proved using triangle similarity.
5. Use congruence and similarity criteria for triangles to
solve problems and to prove relationships in geometric
figures.
42
7-3
Triangles Similarity
G.SRT. 4, 5 Prove Theorems Involving
Similarity
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.
5. Use congruence and similarity criteria for triangles to
solve problems and to prove relationships in geometric
figures.
43
7-4
Applying Properties
of Similar Triangles
G.SRT. 4, 5 Prove Theorems Involving
Similarity
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.
5. Use congruence and similarity criteria for triangles to
solve problems and to prove relationships in geometric
figures.
44
7-5
Using Proportional
Relationships
G.SRT. 4, 5 Prove Theorems Involving
Similarity
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.
5. Use congruence and similarity criteria for triangles to
solve problems and to prove relationships in geometric
figures.
45
46
Test
8-1
Similarity in Right
Triangles
G.SRT.6, 7, 8 Define Trigonometric Ratios
and Solve Problems Involving Right Triangles
6. Understand that by similarity, side ratios in right
triangles are properties of the angles in the triangle,
leading to definitions of trigonometric ratios for acute
angles.
7. Explain and use the relationship between the sine and
cosine of complementary angles.
8. Use trigonometric ratios and the Pythagorean
Theorem to solve right triangles in applied problems.*
G.SRT. 2, 3 Understand similarity in terms of similarity
transformations.
2. Given two figures, use the definition of similarity in
terms of similarity transformations to decide 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.
3. Use the properties of similarity transformations to
establish the AA criterion for two triangles to be similar.
47
8-2
Trigonometric
Rations
G.SRT.6, 7, 8 Define Trigonometric Ratios
and Solve Problems Involving Right Triangles
6. Understand that by similarity, side ratios in right
triangles are properties of the angles in the triangle,
leading to definitions of trigonometric ratios for acute
angles.
7. Explain and use the relationship between the sine and
cosine of complementary angles.
8. Use trigonometric ratios and the Pythagorean
Theorem to solve right triangles in applied problems.*
48
8-3
Solving Right
Triangles
G.SRT.6, 7, 8 Define Trigonometric Ratios
and Solve Problems Involving Right Triangles
6. Understand that by similarity, side ratios in right
triangles are properties of the angles in the triangle,
leading to definitions of trigonometric ratios for acute
angles.
7. Explain and use the relationship between the sine and
cosine of complementary angles.
8. Use trigonometric ratios and the Pythagorean
Theorem to solve right triangles in applied problems.*
49
8-4
Angles of Elevation
and Depression
G.SRT.6, 7, 8 Define Trigonometric Ratios
and Solve Problems Involving Right Triangles
6. Understand that by similarity, side ratios in right
triangles are properties of the angles in the triangle,
leading to definitions of trigonometric ratios for acute
angles.
7. Explain and use the relationship between the sine and
cosine of complementary angles.
8. Use trigonometric ratios and the Pythagorean
Theorem to solve right triangles in applied problems.*
50
Review 83/8-4
G.SRT.6, 7, 8 Define Trigonometric Ratios
and Solve Problems Involving Right Triangles
6. Understand that by similarity, side ratios in right
triangles are properties of the angles in the triangle,
leading to definitions of trigonometric ratios for acute
angles.
7. Explain and use the relationship between the sine and
cosine of complementary angles.
8. Use trigonometric ratios and the Pythagorean
Theorem to solve right triangles in applied problems.*
51
8-5
52
Law of Sines/Law of
Cosines
G.SRT.10, 11 Apply Trigonometry to General
Triangles
10. (+) Prove the Law of Sines and Cosines
and use them to solve problems.
11. (+) Prove the Law of Sines and Cosines
and use them to solve problems
(+)Understand and apply the Law of Sines and
the Law of Cosines to find unknown
measurements in the right and nonright
triangles (e.g. surveying problems, resultant
forces)
Derive and use A = ½ G.SRT.9 Apply Trigonometry to General
ab sin c
Triangles
(+) Derive the formula A = ½ ab sin(c) for the
area of a triangle by drawing an auxiliary line
from a vertex perpendicular to the opposite
side
53
54
55
56
Test
9-1
9-2
9-3
Developing Formulas
for Triangles and
Quadrilaterals
G.GPE.7 Using Coordinates to Prove Simple
Geometric Theorems Algebraically
Developing Formulas
for Circles and
Regular Polygons
G.GPE.7 Using Coordinates to Prove Simple
Geometric Theorems Algebraically
Composite Figures
G.GPE.7 Using Coordinates to Prove Simple
Geometric Theorems Algebraically
Use coordinates to compute perimeters of polygons and
areas of triangles and rectangles, e.g., using the distance
formula.*
Use coordinates to compute perimeters of polygons and
areas of triangles and rectangles, e.g., using the distance
formula.*
Use coordinates to compute perimeters of polygons and
areas of triangles and rectangles, e.g., using the distance
formula.*
57
9-4
Perimeter and Area in G.GPE.7 Using Coordinates to Prove Simple
the Coordinate Plane Geometric Theorems Algebraically
Use coordinates to compute perimeters of polygons and
areas of triangles and rectangles, e.g., using the distance
formula.*
58
Test
59
10-4
Surface Area of
Prisms and Cylinders
G.GMD. 1,3 Explain Volume Formulas and
Use Them to Solve Problems
3. 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.
7. Use volume formulas for cylinders, pyramids, cones,
and spheres to solve problems.*
G.MG.1Apply geometric concepts in modeling
situations
Use geometric shapes, their measures, and their
properties to describe objects (e.g., modeling a tree
trunk or a human torso as a cylinder)
60
10-5
Surface Area of
Pyramids and Cones
G.GMD. 1,3 Explain Volume Formulas and
Use Them to Solve Problems
3. 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.
7. Use volume formulas for cylinders, pyramids, cones,
and spheres to solve problems.*
G.MG.1Apply geometric concepts in modeling
situations
Use geometric shapes, their measures, and their
properties to describe objects (e.g., modeling a tree
trunk or a human torso as a cylinder)
61
10-6
Volume of Prisms,
Cylinders, Pyramids,
and Cones
G.GMD. 1,3, 4 Explain Volume Formulas and
Use Them to Solve Problems
3. 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.
7. Use volume formulas for cylinders, pyramids, cones,
and spheres to solve problems.*
4. Identify the shapes of two-dimensional cross-sections
of three dimensional objects, and identify threedimensional objects generated by rotation of two
dimensional objects.
G.MG.1Apply geometric concepts in modeling
situations
Use geometric shapes, their measures, and their
properties to describe objects (e.g., modeling a tree
trunk or a human torso as a cylinder)
62
10-8
Spheres
G.GMD. 1,3 Explain Volume Formulas and
Use Them to Solve Problems
3. 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.
7. Use volume formulas for cylinders, pyramids, cones,
and spheres to solve problems.*
63
64
Test
11-1
Lines that Intersect
Circles
G.C.2, 4 Understand and Apply Theorems
About Circles
2. Identify and describe relationships among inscribed
angels, 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.
4. (+) Construct a tangent line from a point outside a
given circle to the circle.
65
11-2
Arcs and Chords
G.C.2, 4 Understand and Apply Theorems
About Circles
2. Identify and describe relationships among inscribed
angels, 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.
4. (+) Construct a tangent line from a point outside a
given circle to the circle.
G.CO.13 Make geometric constructions
Construct and equilateral triangle, a square, and a
regular hexagon inscribed in a circle
66
11-3
Sector Area and Arc
Length
G.CO.1 Experiment with transformations in
the plane
Know precise definitions of angle, circle, perpendicular
line, parallel line, and line segment, based on the
undefined notions of point, line, distance along a line,
and distance around a circular arc.
G. C. 5 Find arc lengths and areas of sectors of circles.
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.
67
11-4
Inscribed Angles
G.GC.2, 3 Understand and Apply Theorems
About Circles
2. Identify and describe relationships among inscribed
angels, 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.
3. Construct the inscribed and circumscribed circles of
a triangle, and prove properties of angles for a
quadrilateral inscribed in a circle.
68
11-5
Angle Relationships
in Circles
G.GC.2 Understand and Apply Theorems
About Circles
Identify and describe relationships among inscribed
angels, 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.
69
70
71
72
11-6
11-7
Review
Test
Segment
Relationships in
Circles
G.GC.2 Understand and Apply Theorems
About Circles
Circles in the
Coordinate Plane
**Not teaching
completing the square
–leaving in Algebra
II)
G.GPE.1Translate between the geometric
description and the
equation for a conic section
Identify and describe relationships among inscribed
angels, 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.
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
73
7-6/12-7/12- Dilations/Translation
2
s
**Enrichment –
Matrices Addition
and Scalar
Multiplication**
G.SRT.1 Understand Similarity in Terms of
Similarity Transformations
Verify experimentally the properties of dilations given
by a center and a scale factor:
a. A dilation takes a line not passing through the
center of the dilation to a parallel line, and leaves a
line passing through the center unchanged.
Verify experimentally the properties of dilations given
by a center and a scale factor:
b. The dilation of a line segment is longer or shorter in
the ratio given by the scale factor.
G.CO.6 Understand Congruency in Terms of
Rigid Motion
6. Use geometric descriptions of rigid motions to
transform 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.
74
75
12-1
12-3
Reflections
G.CO. 2, 3, 4, 5 Experiment with
Transformation in the Plane
**Enrichment –
Matrix
Multiplication**
Represent transformations in the plane using, e.g.,
transparencies and geometry software; describe
transformations as functions that take points in the plane
as inputs and give other points as outputs. Compare
transformations that preserve distance and angle to those
that do not (e.g. translation versus horizontal stretch).
Given a rectangle, parallelogram, trapezoid, or regular
polygon, describe the rotations and reflections that carry
it onto itself.
Develop definitions of rotations, reflections, and
translations in terms of angles, circles, perpendicular
lines, parallel lines, and line segments.
Given a geometric figure and a rotation, reflection, or
translation, draw the transformed figure, e.g. graph
paper, tracing paper, or geometry software. Specify a
sequence of transformations that will carry a given
figure onto another.
Rotations
G.CO. 2, 3, 4, 5 Experiment with
Transformation in the Plane
**Enrichment –
Matrix
Multiplication**
Represent transformations in the plane using, e.g.,
transparencies and geometry software; describe
transformations as functions that take points in the plane
as inputs and give other points as outputs. Compare
transformations that preserve distance and angle to those
that do not (e.g. translation versus horizontal stretch).
Given a rectangle, parallelogram, trapezoid, or regular
polygon, describe the rotations and reflections that carry
it onto itself.
Develop definitions of rotations, reflections, and
translations in terms of angles, circles, perpendicular
lines, parallel lines, and line segments.
Given a geometric figure and a rotation, reflection, or
translation, draw the transformed figure, e.g. graph
paper, tracing paper, or geometry software. Specify a
sequence of transformations that will carry a given
figure onto another.
76
77
78
12-4/12-5
Compositions of
Transformations
Symmetry
G.CO. 2, 3, 4, 5 Experiment with
Transformation in the Plane
Represent transformations in the plane using, e.g.,
transparencies and geometry software; describe
transformations as functions that take points in the plane
as inputs and give other points as outputs. Compare
transformations that preserve distance and angle to those
that do not (e.g. translation versus horizontal stretch).
Given a rectangle, parallelogram, trapezoid, or regular
polygon, describe the rotations and reflections that carry
it onto itself.
Develop definitions of rotations, reflections, and
translations in terms of angles, circles, perpendicular
lines, parallel lines, and line segments.
Given a geometric figure and a rotation, reflection, or
translation, draw the transformed figure, e.g. graph
paper, tracing paper, or geometry software. Specify a
sequence of transformations that will carry a given
figure onto another.
Test
Subsets/Unions/Inters S.CP. 1-9 Understand Independence and
ections/Complements Conditional Probabilities and Use Them to
of Events
Interpret Data
S.MD. 6 Use Probability to Evaluate
Outcomes of Decisions
(+) Use probabilities to make fair decisions (e.g.,
drawing by lots, using a random number generator).
S.MD. 7 Use Probability to Evaluate
Outcomes of Decisions
(+) Analyze decisions and strategies using probability
concepts (e.g., product testing, medical testing, pulling a
Supplement with materials
involving probability and
statistics
**Old Math 3 Book –
Charles Mann has in room
hockey goalie at the end of a game).
79
Simple
S.CP. 1-9 Understand Independence and
Probabilities/Compou Conditional Probabilties and Use Them to
nd Events
Interpret Data
S.MD. 6 Use Probability to Evaluate
Outcomes of Decisions
Supplement with materials
involving probability and
statistics
**Old Math 3 Book –
Charles Mann has in room
(+) Use probabilities to make fair decisions (e.g.,
drawing by lots, using a random number generator).
S.MD. 7 Use Probability to Evaluate
Outcomes of Decisions
Independent/Depende (+) Analyze decisions and strategies using probability
concepts (e.g., product testing, medical testing, pulling a
nt Events
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hockey goalie at the end of a game).
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Permutations/Combin S.CP. 1-9 Understand Independence and
ations
Conditional Probabilties and Use Them to
Interpret Data
S.MD. 6 Use Probability to Evaluate
Outcomes of Decisions
(+) Use probabilities to make fair decisions (e.g.,
drawing by lots, using a random number generator).
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Test
Review for
Exams
Review for
Exams
Review for
Exams
Review for
Exams
Review for
Exams
Review for
Exams
Exam 1
Exam 2
Exam 3
Supplement with materials
involving probability and
statistics
**Old Math 3 Book –
Charles Mann has in room
Supplement with materials
involving probability and
statistics
**Old Math 3 Book –
Charles Mann has in room
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Exam 4