Download Hale County Schools

Survey
yes no Was this document useful for you?
   Thank you for your participation!

* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project

Document related concepts

Multilateration wikipedia , lookup

Topology wikipedia , lookup

Four-dimensional space wikipedia , lookup

Euler angles wikipedia , lookup

Riemannian connection on a surface wikipedia , lookup

Duality (projective geometry) wikipedia , lookup

Trigonometric functions wikipedia , lookup

Analytic geometry wikipedia , lookup

Cartesian coordinate system wikipedia , lookup

Integer triangle wikipedia , lookup

Lie sphere geometry wikipedia , lookup

Rational trigonometry wikipedia , lookup

Space wikipedia , lookup

Pythagorean theorem wikipedia , lookup

History of trigonometry wikipedia , lookup

Compass-and-straightedge construction wikipedia , lookup

Geometrization conjecture wikipedia , lookup

History of geometry wikipedia , lookup

Line (geometry) wikipedia , lookup

Euclidean geometry wikipedia , lookup

Transcript
Hale County Schools
Geometry Pacing Guide
GLENCOE GEOMETRY
Month
Taught
August
September
November
CCRS (2010 COS)
Quality Core
Correlations
GEOMETRY
1. Know precise definitions of angle, circle, perpendicular C.1.a Using Logic and Proof to Reason
Mathematically; Logic and Proof; Use definitions,
line, parallel line, and line segment based on the
basic postulates, and theorems about points,
undefined notions of point, line, distance along a line,
segments, lines, angles, and planes to write proofs
and distance around a circular arc. [G-CO1]
and to solve problems.
STI Achievement Services
Resources
Date
Tested
1-1 3-1
1-2 3-2
1-3 10-1
1-4
Page 1
Hale County Schools
Geometry Pacing Guide
Month
Taught
CCRS (2010 COS)
October
2. 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). [G-CO2]
October
3. Given a rectangle, parallelogram, trapezoid, or regular
polygon, describe the rotations and reflections that carry
it onto itself. [G-CO3]
STI Achievement Services
Quality Core
Correlations
G.1.e Relating Geometric Ideas to the Coordinate
Plane; Coordinate Geometry; Determine the effect
of reflections, rotations, translations, and dilations
and their compositions on the coordinate plane
Resources
Date
Tested
9-2
9-3
9-4
9-6
9-5
Page 2
Hale County Schools
Geometry Pacing Guide
Month
Taught
October
September
October
CCRS (2010 COS)
4. Develop definitions of rotations, reflections, and
translations in terms of angles, circles, perpendicular
lines, parallel lines, and line segments. [G-CO4]
5. Given a geometric figure and a rotation, reflection, or
translation, draw the transformed figure using, e.g., graph
paper, tracing paper, or geometry software. Specify a
sequence of transformations that will carry a given figure
onto another. [G-CO5]
Quality Core
Correlations
C.1.a Using Logic and Proof to Reason
Mathematically; 1. Logic and Proof; Use definitions,
basic postulates, and theorems about points,
segments, lines, angles, and planes to write proofs
and to solve problems.
E.1.e Comparing Congruent and Similar Geometric
Figures; Similarity and Congruence; Identify and
draw images of transformations and use their
properties to solve problems.
E.1.a Comparing Congruent and Similar Geometric
Figures; Similarity and Congruence; Determine points
or lines of symmetry and apply the properties of
symmetry to figures.
E.1.e Comparing Congruent and Similar Geometric
Figures; Similarity and Congruence; Identify and
draw images of transformations and use their
properties to solve problems.
Resources
9-1
9-2
9-3
4-6
9-1
9-2
0-3
9-4
September
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. [G-CO6]
E.1.a Comparing Congruent and Similar Geometric
Figures; Similarity and Congruence; Determine points
or lines of symmetry and apply the properties of
symmetry to figures.
4-6
4-7
September
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. [G-CO7]
C.1.g Using Logic and Proof to Reason
Mathematically; Logic and Proof; Use the principle
that corresponding parts of congruent triangles are
congruent to solve problems.
4-3
4-7
STI Achievement Services
Date
Tested
Page 3
Hale County Schools
Geometry Pacing Guide
Month
Taught
CCRS (2010 COS)
Quality Core
Correlations
Resources
Date
Tested
E.1.b Comparing Congruent and Similar Geometric
Figures; Similarity and Congruence; Identify
congruent figures and their corresponding parts
October
8. Explain how the criteria for triangle congruence, angleside-angle (ASA), side-angle-side (SAS), and side-sideside (SSS), follow from the definition of congruence in
terms of rigid motions. [G-CO8]
September 9. 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 angles are congruent; and
points on a perpendicular bisector of a line segment are
exactly those equidistant from the segment’s endpoints.
[G-CO9]
C.1.f Using Logic and Proof to Reason
Mathematically; Logic and Proof; Prove that two
triangles are congruent by applying the SSS, SAS,
ASA, AAS, and HL congruence statements.
9-6
C.1.a Using Logic and Proof to Reason
Mathematically; Logic and Proof; Use definitions,
basic postulates, and theorems about points,
segments, lines, angles, and planes to write proofs
and to solve problems.
2-7
2-8
3-2
3-5
C.1.e Using Logic and Proof to Reason
Mathematically; Logic and Proof; Read and write
different types and formats of proofs including twocolumn, flowchart, paragraph, and indirect proofs.
D.1.c Identifying, Classifying, and Applying the
Properties of Geometric Figures in Space; Points,
Lines, Planes, and Space; Identify corresponding,
same-side interior, same-side exterior, alternate
interior, and alternate exterior angle pairs formed by
a pair of parallel lines and a transversal and use
these special angle pairs to solve problems (e.g.,
solve equations, use in proofs)
C.1.b Using Logic and Proof to Reason
Mathematically; Logic and Proof; Use inductive
reasoning to make conjectures and deductive
reasoning to arrive at valid conclusions.
STI Achievement Services
Page 4
Hale County Schools
Geometry Pacing Guide
Month
Taught
CCRS (2010 COS)
Quality Core
Correlations
Resources
Date
Tested
D.1.b Identifying, Classifying, and Applying the
Properties of Geometric Figures in Space; Points,
Lines, Planes, and Space; Identify vertical, adjacent,
complementary, and supplementary angle pairs and
use them to solve problems (e.g., solve equations,
use in proofs)
September 10. Prove theorems about triangles. Theorems include
measures of interior angles of a triangle sum to 180º,
October
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, and the
medians of a triangle meet at a point. [G-CO10]
C.1.e Using Logic and Proof to Reason
Mathematically; Logic and Proof; Read and write
different types and formats of proofs including twocolumn, flowchart, paragraph, and indirect proofs.
D.2.b Identifying, Classifying, and Applying the
Properties of Geometric Figures in Space; Polygons;
Identify medians, altitudes, perpendicular bisectors,
and angle bisectors of triangles and use their
properties to solve problems.
D.2.j Identifying, Classifying, and Applying the
Properties of Geometric Figures in Space; Polygons;
Apply the Isosceles Triangle Theorem and its
converse to triangles to solve mathematical and realworld problems.
STI Achievement Services
4-2
4-4
4-5
4-6
4-8
5-1
5-2
5-3
5-4
5-5
5-6
8-1
Page 5
Hale County Schools
Geometry Pacing Guide
Month
Taught
October
CCRS (2010 COS)
11. 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-CO11]
Quality Core
Correlations
C.1.e Using Logic and Proof to Reason
Mathematically; Logic and Proof; Read and write
different types and formats of proofs including twocolumn, flowchart, paragraph, and indirect proofs.
Resources
Date
Tested
6-2
6-3
6-4
C.1.i Using Logic and Proof to Reason
Mathematically; Logic and Proof; Use properties of
special quadrilaterals in a proof.
D.2.g Identifying, Classifying, and Applying the
Properties of Geometric Figures in Space; Polygons;
Identify and classify quadrilaterals, including
parallelograms, rectangles, rhombi, squares, kites,
trapezoids, and isosceles trapezoids, using their
properties.
12. Make formal geometric constructions with a variety of
August
September tools and methods such as compass and straightedge,
November string, reflective devices, paper folding, and dynamic
geometric software. Constructions include copying a
segment; copying an angle; bisecting a segment;
bisecting an angle; constructing perpendicular lines,
including the perpendicular bisector of a line segment;
and constructing a line parallel to a given line through a
point not on the line. [G-CO12]
STI Achievement Services
D.1.a Identifying, Classifying, and Applying the
Properties of Geometric Figures in Space; Points,
Lines, Planes, and Space; Identify and model plane
figures, including collinear and noncollinear points,
lines, segments, rays, and angles using appropriate
mathematical symbols.
D.1.c Identifying, Classifying, and Applying the
Properties of Geometric Figures in Space; Points,
Lines, Planes, and Space; Identify corresponding,
same-side interior, same-side exterior, alternate
interior, and alternate exterior angle pairs formed by
a pair of parallel lines and a transversal and use
these special angle pairs to solve problems (e.g.,
solve equations, use in proofs).
1-2
1-3
1-4
1-5
1-6
2-7
3-5
3-6
4-1
4-6
10-5
Page 6
Hale County Schools
Geometry Pacing Guide
Month
Taught
CCRS (2010 COS)
Quality Core
Correlations
Resources
Date
Tested
D.1.d Identifying, Classifying, and Applying the
Properties of Geometric Figures in Space; Points,
Lines, Planes, and Space; Use construction
techniques, including straightedge and compass, to
bisect and trisect segments and to create parallel
and perpendicular lines, perpendicular bisectors, and
angle bisectors.
November
13. Construct an equilateral triangle, a square, and a
regular hexagon inscribed in a circle. [G-CO13]
10-5 Extend
October
14. Verify experimentally the properties of dilations given
by a center and a scale factor. [G-SRT1]
9-6
14..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. [G-SRT1a]
14.b. The dilation of a line segment is longer or shorter in
the ratio given by the scale factor. [G-SRT1b]
STI Achievement Services
Page 7
Hale County Schools
Geometry Pacing Guide
Month
Taught
October
CCRS (2010 COS)
15. 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. [G-SRT2]
Quality Core
Correlations
C.1.h Using Logic and Proof to Reason
Mathematically; Logic and Proof; Use several
methods, including AA, SAS, and SSS, to prove that
two triangles are similar, corresponding sides are
proportional, and corresponding angles are
congruent
Resources
Date
Tested
7-2
7-6
. E.1.c Comparing Congruent and Similar Geometric
Figures; Similarity and Congruence; Identify similar
figures and use ratios and proportions to solve
mathematical and real- world problems (e.g., finding
the height of a tree using the shadow of the tree and
the height and shadow of a person)
E.1.d Comparing Congruent and Similar Geometric
Figures; Similarity and Congruence; Use the
definition of similarity to establish the congruence of
angles, proportionality of sides, and scale factor of
two similar polygons
October
16. Use the properties of similarity transformations to
establish the angle-angle (AA) criterion for two triangles
to be similar. [G-SRT3]
STI Achievement Services
C.1.h Using Logic and Proof to Reason
Mathematically; Logic and Proof; Use several
methods, including AA, SAS, and SSS, to prove that
two triangles are similar, corresponding sides are
proportional, and corresponding angles are
congruent.
9-6 Extend
Page 8
Hale County Schools
Geometry Pacing Guide
Month
Taught
CCRS (2010 COS)
Quality Core
Correlations
Resources
17. Prove theorems about triangles. Theorems include a
line parallel to one side of a triangle divides the other two
proportionally, and conversely; and the Pythagorean
Theorem proved using triangle similarity. [G-SRT4]
D.2.e Identifying, Classifying, and Applying the
Properties of Geometric Figures in Space; Polygons;
Apply the Pythagorean Theorem and its converse to
triangles to solve mathematical and real-world
problems.
7-3
7-4
7-5
8-1
September 18. Use congruence and similarity criteria for triangles to
solve problems and to prove relationships in geometric
October
figures. [G-SRT5]
D.2.d Identifying, Classifying, and Applying the
Properties of Geometric Figures in Space; Polygons;
Solve problems involving the relationships formed
when the altitude to the hypotenuse of a right
triangle is drawn.
4-3
4-4
4-5
7-3
7-4
7-5
7-6
8-1
October
E.1.e Comparing Congruent and Similar Geometric
Figures; Similarity and Congruence; Identify and
draw images of transformations and use their
properties to solve problems.
Date
Tested
E.1.g. Comparing Congruent and Similar Geometric
Figures; Similarity and Congruence; Determine the
geometric mana between two numbers and use it to
solve problems (e.g., find the lengths of segments in
right triangles.)
October
19. 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. [G-SRT6]
STI Achievement Services
H.1.b Investigating and Applying Basic Ideas of
Trigonometry; Introduction to Trigonometry; Find
the sine, cosine, and tangent rations of acute angles
given the side lengths of right triangles.
8-3
8-4
Page 9
Hale County Schools
Geometry Pacing Guide
Month
Taught
CCRS (2010 COS)
Quality Core
Correlations
Resources
October
20. Explain and use the relationship between the sine and
cosine of complementary angles. [G-SRT7]
H.1.b Investigating and Applying Basic Ideas of
Trigonometry; Introduction to Trigonometry; Find
the sine, cosine, and tangent rations of acute angles
given the side lengths of right triangles.
8-4
October
21. Use trigonometric ratios and the Pythagorean
Theorem to solve right triangles in applied problems.*
[G-SRT8]
D.2.e Identifying, Classifying, and Applying the
Properties of Geometric Figures in Space; Polygons;
Apply the Pythagorean Theorem and its converse to
triangles to solve mathematical and real-world
problems.
8-2
8-5
Date
Tested
H.1.b Investigating and Applying Basic Ideas of
Trigonometry; Introduction to Trigonometry; Find
the sine, cosine, and tangent rations of acute angles
given the side lengths of right triangles.
H.1.c. Investigating and Applying Basic Ideas of
Trigonometry; Introduction to Trigonometry; Use
trigonometric ratios to find the sides or angles of
right triangles and to solve real- world problems (e.g.
use angles of elevation and depression to find
missing measures).
H.1.a Investigating and Applying Basic Ideas of
Trigonometry; Introduction to Trigonometry; Apply
properties of 45-45- 90 and 30-60-90 triangle to
determine lengths of right triangles.
STI Achievement Services
Page 10
Hale County Schools
Geometry Pacing Guide
Month
Taught
October
CCRS (2010 COS)
22. (+) Derive the formula A = ( 1/ 2)
ab sin(C) for the area of a triangle by drawing an auxiliary
line from a vertex perpendicular to the opposite side. [GSRT9]
Quality Core
Correlations
D.2.d Identifying, Classifying, and Applying the
Properties of Geometric Figures in Space; Polygons;
Solve problems involving the relationships formed
when the altitude to the hypotenuse of a right
triangle is drawn.
Resources
Date
Tested
8-6
D.2.f Identifying, Classifying, and Applying the
Properties of Geometric Figures in Space; Polygons;
Identify and use Pythagorean triples in right triangles
to find lengths of the unknown side.
F.2.a Using Length, Area, Perimeter, and Volume to
Find Quantities and Solve Problems; Lateral Area,
Surface Area, and Volume; Find the lateral area,
surface area, and volume of prisms, cylinders, cone,
and pyramids in mathematical and real-world
settings.
October
23. (+) Prove the Law of Sines and the Law of Cosines
and use them to solve problems. [G-SRT10]
STI Achievement Services
D.2.f Identifying, Classifying, and Applying the
Properties of Geometric Figures in Space; Polygons;
Identify and use Pythagorean triples in right triangles
to find lengths of the unknown side.
8-6
Page 11
Hale County Schools
Geometry Pacing Guide
Month
Taught
CCRS (2010 COS)
Quality Core
Correlations
Resources
October
24. (+) Understand and apply the Law of Sines and the
Law of Cosines to find unknown measurements in right
and non-right triangles (e.g., surveying problems,
resultant forces). [G-SRT11]
8-6
November
25. Prove that all circles are similar. [G-C1]
10-1
November
26. 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-C2]
D.3.a Identifying, Classifying, and Applying the
Properties of Geometric Figures in Space; Circles;
Identify and define lines segments associated with
circles (e.g., radii, diameters, chords, secants,
tangents)
Date
Tested
10-2
10-3
10-4
D.3.b Identifying, Classifying, and Applying the
Properties of Geometric Figures in Space; Circles;
Determine the measure of central and inscribed
angles and their intercepted arcs.
D.3.c Identifying, Classifying, and Applying the
Properties of Geometric Figures in Space; Circles;
Find segment lengths, angle measures, and
intercepted arc measures formed by chords, secants,
and tangents intersecting inside and outside circles
November
27. Construct the inscribed and circumscribed circles of
a triangle, and prove properties of angles for a
quadrilateral inscribed in a circle. [G-C3]
STI Achievement Services
D.2.b Identifying, Classifying, and Applying the
Properties of Geometric Figures in Space; Polygons;
Identify medians, altitudes, perpendicular bisectors,
and angle bisectors of triangles and use their
properties to solve problems.
10-4
10-5 Extend
Page 12
Hale County Schools
Geometry Pacing Guide
Month
Taught
CCRS (2010 COS)
Quality Core
Correlations
Resources
Date
Tested
D.3.d Identifying, Classifying, and Applying the
Properties of Geometric Figures in Space; Circles;
Solve problems using inscribed and circumscribed
polygons.
November
28. (+) Construct a tangent line from a point outside a
given circle to the circle. [G-C4]
D.3.c Identifying, Classifying, and Applying the
Properties of Geometric Figures in Space; Circles;
Find segment lengths, angle measures, and
intercepted arc measures formed by chords, secants,
and tangents intersecting inside and outside circles.
10-5
November
29. 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. [G-C5]
F.1.d Using Length, Area, Perimeter, and Volume to
Find Quantities and Solve Problems; Area and
Perimeter; Find arc lengths and circumferences of
circles from given information (e.g., radius, diameter,
coordinates)
11-3
F.1.e Using Length, Area, Perimeter, and Volume to
Find Quantities and Solve Problems; Area and
Perimeter; Find the area of a circle and the area of a
sector of a circle from given information (e.g., radius,
diameter, coordinates)
November
30. 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-GPE1]
G.1.d Relating Geometric Ideas to the Coordinate
Plane; Coordinate Geometry; Write equations for
circles in standard form and solve problems using
equations and graphs
10-8
D.1.e Identifying, Classifying, and Applying the
Properties of Geometric Figures in Space; Points,
Lines, Planes, and Space; Locate, describe, and draw
a locus in a plane or space.
STI Achievement Services
Page 13
Hale County Schools
Geometry Pacing Guide
Month
Taught
CCRS (2010 COS)
Quality Core
Correlations
September 31. Use coordinates to prove simple geometric theorems
algebraically. [G-GPE4] Example: Prove or disprove that
October
a figure defined by four given points in the coordinate
plane is a rectangle; prove or disprove that the point (1,
3) lies on the circle centered at the origin and containing
the point (0, 2).
September 32. 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). [G-GPE5]
Resources
Date
Tested
4-8
6-4
6-5
6-6
C.1.d Using Logic and Proof to Reason
Mathematically; Logic and Proof; Use various
methods to prove that two lines are parallel or
perpendicular (e.g., using coordinates, angle
measures)
3-2
3-4
D.1.f Identifying, Classifying, and Applying the
Properties of Geometric Figures in Space; Points,
Lines, Planes, and Space; Apply properties and
theorems of parallel and perpendicular lines to solve
problems.
G.1.a Relating Geometric Ideas to the Coordinate
Plane; Coordinate Geometry; Use slope to distinguish
between and write equations for parallel and
perpendicular lines.
G.1.c Relating Geometric Ideas to the Coordinate
Plane; Coordinate Geometry; Use coordinate
geometry to solve problems about geometric figures
(e.g., segments, triangles, quadrilaterals)
STI Achievement Services
Page 14
Hale County Schools
Geometry Pacing Guide
Month
Taught
October
November
CCRS (2010 COS)
Quality Core
Correlations
Resources
33. Find the point on a directed line segment between two G.1.c Relating Geometric Ideas to the Coordinate
Plane; Coordinate Geometry; Use coordinate
given points that partitions the segment in a given ratio.
geometry to solve problems about geometric figures
[G-GPE6]
8-7
10-8
34. Use coordinates to compute perimeters of polygons
and areas of triangles and rectangles, e.g., using the
distance formula.* [G-GPE7]
1-6
11-1
Date
Tested
(e.g., segments, triangles, quadrilaterals)
August
And
November
F.2.a Using Length, Area, Perimeter, and Volume to
Find Quantities and Solve Problems; Lateral Area,
Surface Area, and Volume; Find the lateral area,
surface area, and volume of prisms, cylinders, cone,
and pyramids in mathematical and real-world
settings.
G.1.c Relating Geometric Ideas to the Coordinate
Plane; Coordinate Geometry; Use coordinate
geometry to solve problems about geometric figures
(e.g., segments, triangles, quadrilaterals)
August
35. Determine areas and perimeters of regular polygons,
including inscribed or circumscribed polygons, given the
coordinates of vertices or other characteristics.
G.1.c Relating Geometric Ideas to the Coordinate
Plane; Coordinate Geometry; Use coordinate
geometry to solve problems about geometric figures
(e.g., segments, triangles, quadrilaterals)
1-6
November
December
36. Give an informal argument for the formulas for the
circumference of a circle; area of a circle; and volume of
a cylinder, pyramid, and cone. Use dissection
arguments, Cavalieri’s principle, and informal limit
arguments. [G-GMD1]
D.4.a Identifying, Classifying, and Applying the
Properties of Geometric Figures in Space; Solids;
Identify and classify prisms, pyramids, cylinders,
cones, and spheres and use their properties to solve
problems.
11-3
12-4
12-5
12-6
F.2.a Using Length, Area, Perimeter, and Volume
to Find Quantities and Solve Problems; Lateral Area,
Surface Area, and Volume; Find the lateral area,
surface area, and volume of prisms, cylinders, cone,
and pyramids in mathematical and real-world
settings.
STI Achievement Services
Page 15
Hale County Schools
Geometry Pacing Guide
Month
Taught
CCRS (2010 COS)
Quality Core
Correlations
Resources
Date
Tested
F.2.b Using Length, Area, Perimeter, and Volume to
Find Quantities and Solve Problems; Lateral Area,
Surface Area, and Volume; Use cross sections of
prisms, cylinders, pyramids, and cones to solve
volume problems.
E.1.f. Comparing Congruent and Similar Geometric
Figures; Similarity and Congruence; 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.
E.1.h. Comparing Congruent and Similar Geometric
Figures; Similarity and Congruence; Identify and give
properties of congruent or similar solids.
August
December
37. Use volume formulas for cylinders, pyramids, cones,
and spheres to solve problems.* [G-GMD3]
D.4.a Identifying, Classifying, and Applying the
Properties of Geometric Figures in Space; Solids;
Identify and classify prisms, pyramids, cylinders,
cones, and spheres and use their properties to solve
problems.
1-7
12-3
12-5
12-6
F.2.a Using Length, Area, Perimeter, and Volume
to Find Quantities and Solve Problems; Lateral Area,
Surface Area, and Volume; Find the lateral area,
surface area, and volume of prisms, cylinders, cone,
and pyramids in mathematical and real-world
settings.
STI Achievement Services
Page 16
Hale County Schools
Geometry Pacing Guide
Month
Taught
CCRS (2010 COS)
Quality Core
Correlations
Resources
Date
Tested
F.2.c Using Length, Area, Perimeter, and Volume to
Find Quantities and Solve Problems; Lateral Area,
Surface Area, and Volume; Find the surface area and
volume of a sphere in mathematical and real-world
settings.
November
December
38. Determine the relationship between surface areas of
similar figures and volumes of similar figures.
D.4.a Identifying, Classifying, and Applying the
Properties of Geometric Figures in Space; Solids;
Identify and classify prisms, pyramids, cylinders,
cones, and spheres and use their properties to solve
problems.
F.2.a Using Length, Area, Perimeter, and Volume
to Find Quantities and Solve Problems; Lateral Area,
Surface Area, and Volume; Find the lateral area,
surface area, and volume of prisms, cylinders, cone,
and pyramids in mathematical and real-world
settings.
F.2.c Using Length, Area, Perimeter, and Volume to
Find Quantities and Solve Problems; Lateral Area,
Surface Area, and Volume; Find the surface area and
volume of a sphere in mathematical and real-world
settings.
October
December
39. Identify the shapes of two-dimensional cross-sections
of three-dimensional objects, and identify threedimensional objects generated by rotations of twodimensional objects. [G-GMD4]
STI Achievement Services
D.4.b Identifying, Classifying, and Applying the
Properties of Geometric Figures in Space; Solids;
Describe and draw cross sections of prisms,
cylinders, pyramids, and cones
11-1
11-2
11-3
11-4
11-5
12-1
12-2
12-3
12-4
12-5
12-6
12-7
12-8
9-3 Extend
12-1
Page 17
Hale County Schools
Geometry Pacing Guide
Month
Taught
August
October
November
December
CCRS (2010 COS)
40. Use geometric shapes, their measures, and their
properties to describe objects (e.g., modeling a tree trunk
or a human torso as a cylinder).* [G-MG1]
Quality Core
Correlations
D.1.a Identifying, Classifying, and Applying the
Properties of Geometric Figures in Space; Points,
Lines, Planes, and Space; Identify and model plane
figures, including collinear and noncollinear points,
lines, segments, rays, and angles using appropriate
mathematical symbols.
Resources
Date
Tested
1-7 Extend
6-1
11-5
12-3
E.1.h. Comparing Congruent and Similar Geometric
Figures; Similarity and Congruence; Identify and give
properties of congruent or similar solids.
November
41. Apply concepts of density based on area and volume
in modeling situations (e.g., persons per square mile,
British Thermal Units (BTUs) per cubic foot).* [G-MG2]
11-2 Extend
September
October
November
December
42. Apply geometric methods to solve design problems
(e.g., designing an object or structure to satisfy physical
constraints or minimize cost, working with typographic
grid systems based on ratios).* [G-MG3]
2-5
3-6
5-1
5-2
5-5
11-2
6-6
STI Achievement Services
7-1
7-7
8-2
10-3
11-4
12-2
13-4
Page 18
Hale County Schools
Geometry Pacing Guide
Month
Taught
December
CCRS (2010 COS)
STATISTICS AND PROBABILITY
43. Understand the conditional probability of A given B as
P(A and B)/P(B), and interpret independence of A and B
as saying that the conditional probability of A given B is
the same as the probability of A, and the conditional
probability of B given A is the same as the probability of
B. [S-CP3]
Quality Core
Correlations
Resources
13-5
December
44. Construct and interpret two-way frequency tables of
data when two categories are associated with each object
being classified. Use the two-way table as a sample
space to decide if events are independent and to
approximate conditional probabilities. [S-CP4]
13-5
December
45. Recognize and explain the concepts of conditional
probability and independence in everyday language and
everyday situations. [S-CP5] Example: Compare the
chance of having lung cancer if you are a smoker with the
chance of being a smoker if you have lung cancer.
13-5
December
46. Find the conditional probability of A given B as the
fraction of B’s outcomes that also belong to A, and
interpret the answer in terms of the model. [S-CP6]
13-5
December
47. Apply the Addition Rule, P(A or B) = P(A) + P(B) - P(A
and B), and interpret the answer in terms of the model.
[S-CP7]
13-6
STI Achievement Services
Date
Tested
Page 19
Hale County Schools
Geometry Pacing Guide
Month
Taught
CCRS (2010 COS)
Quality Core
Correlations
Resources
December
48. (+) Apply the general Multiplication Rule in a uniform
probability model, P(A and B) = P(A)P(B|A) = P(B)P(A|B),
and interpret the answer in terms of the model. [S-CP8]
13-4
December
49. (+) Use permutations and combinations to compute
probabilities of compound events and solve problems.
[S-CP9]
13-2
December
50. (+) Use probabilities to make fair decisions (e.g.,
drawing by lots, using a random number generator). [SMD6]
F.1.c. Using Length, Area, Perimeter, and Volume to
Find Quantities and Solve Problems1. Area and
Perimeter; Use area to solve problems involving
geometric probability.
13-4
December
51. (+) Analyze decisions and strategies using probability
concepts (e.g., product testing, medical testing, pulling a
hockey goalie at the end of a game). [S-MD7]
F.1.c. Using Length, Area, Perimeter, and Volume to
Find Quantities and Solve Problems1. Area and
Perimeter; Use area to solve problems involving
geometric probability.
13-3
STI Achievement Services
Date
Tested
Page 20