Hearne ISD
Course: Geometry
Chapters: 3, 4, 5, 6
TEKS
Guiding Questions/
Specificity
Mathematics
Assessment
Designated Six Weeks: 2nd
Days to teach: 28
Vocabulary
Instructional
Strategies
G.4 Geometric Structure: The student uses a variety of representations to describe geometric relationships and solve problems.
Every class day, every unit throughout the course.
G.7 Dimensionality and the geometry of location. The student understands that coordinate systems provide convenient and efficient
representing geometric figures and uses them accordingly. The student is expected to:
G.7(B) use slopes and
Use slopes to determine
The equation of a line
Point-Slope Form
Link to ELPS
equations of lines to
whether the lines are
containing one leg of a
Rise
Instructional Strategies:
http://ritter.tea.state.tx.us/rul
investigate geometric
parallel, perpendicular or
right triangle is y=-4x.
Run
es/tac/chapter074/ch074a.ht
relationships,
neither.
Which of the following
Slope
ml
including parallel
equations could
Slope-Intercept Form
Comparing equations of
lines, perpendicular
represent the line
1A
lines, determine whether
lines, and special
containing the other leg
lines are parallel, intersect of this triangle?
Review slope, and equations
segments of triangles
1
or coincide.
of lines.
and other polygons
F. y  x
4
Be able to classify
Use slopes to determine
Readiness Standard
1
G. y  x 2
polygons by parallel and
whether the lines are
4
perpendicular properties.
parallel, perpendicular or
College Readiness
H. y 4x
neither.
Standard:
http://www.thecb.state.tx.us/
J. y 4x 2
collegereadiness/crs.pdf
Comparing equations of
Correct answer: G
lines, determine whether
Released EOC 2013
Geometric C.1.b,c
lines are parallel, intersect
Q#14
or coincide.
The graph of line g is
Investigate polygons on the
shown below.
coordinate plane and use
properties such as parallel
and perpendicular segments
to determine shape.
Resources/
Web-links
ways of
Holt Geometry
3.5, 3.6
5.4
6.2
Laying The
Foundation
What equation
describes a line parallel
to g that has a y-
7/13/2014
Page 1
Hearne ISD
Mathematics
Course: Geometry
Chapters: 3, 4, 5, 6
TEKS
Guiding Questions/
Specificity
Assessment
Designated Six Weeks: 2nd
Days to teach: 28
Vocabulary
Instructional
Strategies
Resources/
Web-links
intercept at (0,-1)?
Correct answer:
1
y  x 1
2
G.7(A) use one- and
two-dimensional
coordinate systems to
represent points, lines,
rays, line segments,
and figures
Use distance formula to
find the distance between
2 points.
Find coordinates of the
midpoint of a segment on
a coordinate plane.
Answer: B
Supporting Standard
College Readiness
Standard:
http://www.thecb.state.tx.us/
collegereadiness/crs.pdf
Geometric C.1.a
Released EOC 2013
Q#25
Which point is the
farthest from (-5, 2)?
A. (0,0)
B. (3,2)
C. (1,-3)
D. (-5,-5)
Find endpoint given an
endpoint and a midpoint.
Draw a triangle with the
points (-5, 6), (-8, -3)
and (7, 3). Find the
midpoint of each of the
three sides.
Answer: midpoints are
(-6.5, 1.5), (1, 4.5),
(-.5, 0)
7/13/2014
Coordinate Plane
Hypotenuse
Leg
Midpoint
Slope
Link to ELPS
Instructional Strategies:
http://ritter.tea.state.tx.us/rul
es/tac/chapter074/ch074a.ht
ml
1E, 3B, 4F, 3F, 1C, 4C
Holt Geometry
6.2
Laying the
Foundation
Use distance formula to find
the distance between 2
points.
Find coordinates of the
midpoint of a segment on a
coordinate plane.
Find endpoint given an
endpoint and a midpoint.
Demonstrate through use
and problem solving.
Page 2
Hearne ISD
Mathematics
Course: Geometry
Chapters: 3, 4, 5, 6
TEKS
Guiding Questions/
Specificity
G.7(C) derive and use
formulas involving
length, slope, and
midpoint
Readiness Standard
College Readiness
Standard:
http://www.thecb.state.tx.us/
collegereadiness/crs.pdf
Measurement C.1.c
7/13/2014
Use distance formula to
find the distance between
2 points.
Find coordinates of the
midpoint of a segment on
a coordinate plane.
Find endpoint given an
endpoint and a midpoint.
Assessment
CD has an endpoint at
(2, -1) and a midpoint at
(8, 3). Which measure
is closest to the length
of CD ?
Designated Six Weeks: 2nd
Days to teach: 28
Vocabulary
Instructional
Strategies
Coordinate Plane
Hypotenuse
Leg
Midpoint
Slope
Link to ELPS
Instructional Strategies:
http://ritter.tea.state.tx.us/rul
es/tac/chapter074/ch074a.ht
ml
1E, 3B, 4F, 3F, 1C, 4C
A 20.4 units
B 3.9 units
C 14.4 units
D 11.7 units
Correct answer: C
Released EOC 2013
Q#1
Use distance formula to find
the distance between 2
points.
The slope of a line
passing through
H(-2, 5) is  3 . Which
4
ordered pair represents
a point on this line?
A (6, -1)
B (2,8)
C (-5,1)
D (1,1)
Correct answer: A
Released EOC 2013
Q#29
Find endpoint given an
endpoint and a midpoint.
Resources/
Web-links
Holt Geometry
6.2
Laying the
Foundation
Find coordinates of the
midpoint of a segment on a
coordinate plane.
Demonstrate through use
and problem solving.
Page 3
Hearne ISD
Mathematics
Course: Geometry
Chapters: 3, 4, 5, 6
TEKS
Guiding Questions/
Specificity
Assessment
Designated Six Weeks: 2nd
Days to teach: 28
Vocabulary
Instructional
Strategies
Resources/
Web-links
G.1 Geometric structure. The student understands the structure of, and relationships within, an axiomatic system. The student is expected to:
Holt Geometry
G.1(A) develop an
Develop verbal
How should Anna
Special Right Triangles Link to ELPS
4.1
awareness of the
descriptions to define
classify a triangle with
Right Triangle
Instructional Strategies:
http://ritter.tea.state.tx.us/rul 4.2
structure of a
geometric terms
angles measuring 55°,
Postulates
es/tac/chapter074/ch074a.ht
mathematical system,
throughout the curriculum 35 °, and 90 °?
Laying the
ml
1E, 3B
connecting definitions,
Foundation
Use number line and
postulates, logical
A. Straight
Develop verbal descriptions
reasoning, and
coordinate plane to
B. Right
to define geometric terms
theorems
represent points, lines,
C. Obtuse
throughout the curriculum
rays, line segments and
D. Acute
Use manipulatives and
geometric figures.
College Readiness
technology to draw
Answer: B
Standard:
conclusions and discover
http://www.thecb.state.tx.us/
relationships about
collegereadiness/crs.pdf
geometric shapes and their
Geometric D.2.a
properties.
G.1(B) recognize the
historical
development of
geometric systems
and know
mathematics is
developed for a
variety of purposes.
Supporting Standard
A historical discussion of
Euclid’s elements and
how they are used in the
development of modern
geometry
A time line of geometry’s
developments
Use Patty paper to develop
vocabulary. Use
spreadsheet to define
vocabulary terms and
represent pictorial and
symbolic representations.
Link to ELPS
Instructional Strategies:
http://ritter.tea.state.tx.us/rul
es/tac/chapter074/ch074a.ht
ml
1E, 3B, 4C
Research of Mathematicians
that contributed to geometry
Library/
Computer
Lab/Internet
Geometry
Activities Kit
(Geometers)
Story of 1 DVD
Laying the
Foundation
Safari Montage
7/13/2014
Page 4
Hearne ISD
Course: Geometry
Chapters: 3, 4, 5, 6
TEKS
Guiding Questions/
Specificity
Mathematics
Assessment
Designated Six Weeks: 2nd
Days to teach: 28
Vocabulary
Instructional
Strategies
Resources/
Web-links
G.10 Congruence and the geometry of size. The student applies the concept of congruence to justify properties of figures and solve problems. The
student is expected to:
Justify and use SAS, SSS,
Holt Geometry
G.10(B) justify and
Corollary
4.2
ASA, AAS, HL.
apply triangle
Corresponding
Angles
B
C
4.8
congruence
Use pictures and drawings
Corresponding
relationships
with appropriate
Polygons
Laying the
congruence markings.
Corresponding Sides
E
Foundation
Included Angle
Readiness Standard
Included Side
A
D
Interior
College Readiness
Standard:
Triangle Rigidity
http://www.thecb.state.tx.us/
Use AAS to explain
SAS
collegereadiness/crs.pdf
why the triangles are
SSS
congruent.
ASA
Geometric B.3.a
AAS
AL
Answer: A D,
BEA CED,
BE CE
G.3 Geometric structure. The student applies logical reasoning to justify and prove mathematical statements. The student is expected to:
Holt Geometry
G.3(B) construct and
5.1, 5.2, 5.3, 5.5, 5.6
justify statements
6.2
about geometric
figures and their
Laying the
properties
Foundation
Supporting Standard
College Readiness
Standard:
http://www.thecb.state.tx.us/
collegereadiness/crs.pdf
Geometric D.1
7/13/2014
Page 5
Hearne ISD
Mathematics
Course: Geometry
Chapters: 3, 4, 5, 6
TEKS
Guiding Questions/
Specificity
G.3(E) use deductive
reasoning to prove a
statement
Supporting Standard
College Readiness
Standard:
http://www.thecb.state.tx.us/
collegereadiness/crs.pdf
Communication A.3. a
Draw a conclusion from
given information.
Determine if a conjecture
is valid by Law of
Detachment and Law of
Syllogism.
Assessment
Does the conclusion use
inductive or deductive
reasoning?
The sum of the angle
measures of a triangle is
180°. Two angles of a
triangle measure 40°
and 60°, so Kandy
concludes that the third
angle measures 80°.
Designated Six Weeks: 2nd
Days to teach: 28
Vocabulary
Instructional
Strategies
Deductive reasoning
Link to ELPS
Instructional Strategies:
http://ritter.tea.state.tx.us/rul
es/tac/chapter074/ch074a.ht
ml
4C, 5B
Resources/
Web-links
Holt Geometry
5.5
5.6
Laying the
Foundation
Use facts definitions
postulates theorems and
properties to prove
statements true or false.
Analyze and produce proofs
Answer: Deductive
to solve problems
Reasoning
G.8 Congruence and the geometry of size. The student uses tools to determine measurements of geometric figures and extends measurement concepts to
find perimeter, area, and volume in problem situations. The student is expected to:
Pythagorean triple
Holt Geometry
G.8(C) derive, extend, Given a right triangle,
Two motorcycles start
Link to ELPS
5.7
at the same point. One
and use the
Instructional Strategies:
prove
.
http://ritter.tea.state.tx.us/rul
motorcycle travels 15
Pythagorean Theorem
Laying the
es/tac/chapter074/ch074a.ht
km due north and stops.
Solve for side lengths.
Readiness Standard
Foundation
ml
4F
The second motorcycle
travels 32 km due west
Given the side lengths of
College Readiness
Use activities such as
a right triangle, classify as and stops. Which value
Standard:
http://www.thecb.state.tx.us/
learning centers to explore
is closest to the distance
acute, obtuse or right.
collegereadiness/crs.pdf
Pythagorean theorem to
between the motorcycles
solve problems and
when
they
stop?
Geometric A.3.a, b
application problems from
F. 28.3 km
various figures and shapes
G. 47.0 km
including 2D and 3D
H. 35.5 km
J. 21.9 km
Use patty paper activity to
Correct answer: H
develop Pythagorean
Released EOC 2013
Theorem
Q#48
7/13/2014
Page 6
Hearne ISD
Mathematics
Course: Geometry
Chapters: 3, 4, 5, 6
TEKS
Guiding Questions/
Specificity
Assessment
Designated Six Weeks: 2nd
Days to teach: 28
Vocabulary
Instructional
Strategies
Resources/
Web-links
G.5 Geometric patterns. The student uses a variety of representations to describe geometric relationships and solve problems. Student is expected to:
Holt Geometry
G.5(D) identify and
Connect the 30-60-90
Within a square section Angle of Depression
Link to ELPS
5.8
apply patterns from
right triangle relationships of land, a landscaper
Angle of Elevation
Instructional Strategies:
http://ritter.tea.state.tx.us/rul
right triangles to solve
to the equilateral triangle
will build a path, as
Cosine
Laying the
es/tac/chapter074/ch074a.ht
meaningful problems,
and the Pythagorean.
represented by the
Sine
Foundation
ml
including special right
Theorem.
shaded section in the
Tangent
triangles (45-45-90
diagram below.
Trigonometric Ratio
1A, 2D
Connect the 45-45-90
and 30-60-90) and
right triangle relationship
Be able to identify special
triangles whose sides
rights and solve problems
are Pythagorean triples to the square and to the
Pythagorean. Theorem.
using special rights ratios.
Readiness Standard
College Readiness
Standard:
Identify the relationships
of trig functions.
http://www.thecb.state.tx.us/
collegereadiness/crs.pdf
Geometric A.3.a
G.5(B) use numeric
and geometric patterns
to make
generalizations about
geometric properties,
including properties of
polygons, ratios in
similar figures and
7/13/2014
Note: the skill should be
ongoing throughout the
curriculum like G.4(A)
Which measure is
closest to the value of
y?
A. 5.5 ft
B. 3.1 ft
C. 4.3 ft
D. 7.5 ft
Correct answer: A
Released EOC 2013
Q # 41
The table below
contains a pattern
formed by the number
of sides and the
measure in degrees of
each exterior angle of
several regular convex
polygons.
Write trigonometric ratios
as a fraction and as a
decimal rounded to the
nearest hundredth.
Concave
Convex
Diagonal
Regular Polygon
Side of a Polygon
Vertex of a Polygon
Link to ELPS
Instructional Strategies:
http://ritter.tea.state.tx.us/rul
es/tac/chapter074/ch074a.ht
ml
4F
Holt Geometry
6.1
Assessment Items
Spiral
Laying the
Foundation
Page 7
Hearne ISD
Course: Geometry
Chapters: 3, 4, 5, 6
TEKS
Guiding Questions/
Specificity
solids, and angle
relationships in
polygons and circles
Supporting Standard
College Readiness
Standard:
http://www.thecb.state.tx.us/
collegereadiness/crs.pdf
Algebraic D.1.b
Geometric A.2
7/13/2014
Mathematics
Assessment
Designated Six Weeks: 2nd
Days to teach: 28
Vocabulary
Instructional
Strategies
Resources/
Web-links
If the pattern in the
table continues, which
statement is true?
A. As the number of
sides in the polygon
increases by 1, the
measure of each
exterior angle decreases
by 25%.
B. The product of the
number of sides in the
polygon and the
measure of each
exterior angle is a
constant.
C. The measure of each
exterior angle is a
multiple of 6 degrees.
D. If the number of
sides in the polygon is
even, the measure of
each exterior angle is a
multiple of 3 degrees.
Correct answer: B
Released EOC 2013
Q#19
Page 8
Hearne ISD
Course: Geometry
Chapters: 3, 4, 5, 6
TEKS
Guiding Questions/
Specificity
Mathematics
Assessment
Designated Six Weeks: 2nd
Days to teach: 28
Vocabulary
Instructional
Strategies
G.9 Congruence & the Geometry of size. The student analyzes properties & describes relationships in geometric figures.
G.9(B) Formulate & test
How does a triangle
(a) Can you use ASA to
Link to ELPS
conjectures about the
congruence statement
Instructional
prove RST TUR?
properties and attributes
indicate corresponding
Strategies:
http://ritter.tea.state.tx.us
of polygons based on
parts?
(b) If yes, what
/rules/tac/chapter074/ch0
explorations.
theorem(s),
74a.html
Supporting Standard
postulate(s), or
4F
property(ies) did you
use besides ASA? If
College Readiness
Use angle legs to
no, what other
Standard:
demonstrate triangles
information would
congruence theorems
make it possible to
http://www.thecb.state.tx.us/col
prove the triangles
legereadiness/crs.pdf
Geometric A.2.d, e
congruent by ASA?
Resources/
Web-links
Holt Geometry:
4.5
4.7
Discovering Geometry
Geometry to Go
Laying the Foundations
Khan Academy.com
Brightstorm.com
Purplemath.com
Geometry Sketchpad
7/13/2014
Page 9
Hearne ISD
Mathematics
Course: Geometry
Chapters: 3, 4, 5, 6
TEKS
Guiding Questions/
Specificity
Assessment
Designated Six Weeks: 2nd
Days to teach: 28
Vocabulary
Instructional
Strategies
G.4 Geometric Structure. The student uses a variety of representations to describe geometric relationship and solve problems.
G.4(A) select an
Tell whether figures are Lines r, t, n, and v
Diagonal
Link to ELPS
appropriate
polygons. If so, name
intersect as shown to
Convex
Instructional Strategies:
http://ritter.tea.state.tx.us/rul
representation (concrete) it.
form isosceles trapezoid Concave
es/tac/chapter074/ch074a.ht
pictorial, graphical,
ABCD.
Interior angles
ml
verbal, or symbolic in
Also explain if a
Exterior angles
order to solve problems.
polygon is convex or
4F
concave.
Supporting Standard
Resources/
Web-links
Holt Geometry:
6.1
Assessment Items
Spiral
Laying the
Foundation
Find the sum of interior
angles for different
polygons.
Which expression
represents the measure
of 1in degrees?
F. 180 (7y 
4) G. 180 
2(7y 4) H.
(7y 4)
J. 180 (7y 
4)
Correct answer: G
Released EOC 2013
Q#32
7/13/2014
Page 10