Hearne ISD
Course: 7th Grade Mathematics
Unit 7: Two-Dimensional Area
Unit 8: Surface Area and Volume
TEKS
Guiding
Questions/
Specificity
Mathematics
Designated Six Weeks: 4th
Days to teach: 27
Assessment
Vocabulary
Instructional
Strategies
Resources/
Weblinks
7.5 The student applies mathematical process standards to use geometry to describe or solve problems involving proportional relationships.
ELPS
7.5(B) describe π as
Recognize units
In the figure below, the
Pi
http://ritter.tea.state.tx.us/rule
the ratio of the
related to perimeter,
vertices of triangle RST are
Diameter
Illuminations.nctm.org:
s/tac/chapter074/ch074a.html
circumference of a
circumference, &
on a circle
Radius
“The Ratio of
4F
circle to its diameter
area.
Circumference to
Circumference
Diameter”
Construct a table that
Compare equations to
has the following
Supporting Standard see relationships.
columns: radius,
diameter, circumference
College Readiness:
Solve multi-step
 Students use tape
http://www.thecb.state.tx.us/
problems involving
measures or string to
Line
segment
TS
contains
collegereadiness/crs.pdf
perimeter,
measure the radii,
the
center
of
the
circle.
circumference, &
Geometric A.2.c
diameters, and
The
perimeter
of
the
triangle
area.
circumferences of
RST is 24 inches.
several circular
Use pi as 3.14, 22/7
objects
What
is
the
circle’s
radius?
or π to solve
F.
8
inches,
because
d=24-8
 Look for patterns
problems.
and d/2=r
and relationships
G.
32
inches,
because
d=24using a calculator.
Solve application
8
and
d
x
2
=r
problems involving
H. 20 inches, because d=24circles with/without
(8+6) and dx2=r
diagrams.
J. 5 inches, because d=24(8+6) and d/2=r
Correct answer: J
Released STAAR6 2013
Q#40
2014-2015
Hearne ISD
Mathematics
Course: 7th Grade Mathematics
Unit 7: Two-Dimensional Area
Unit 8: Surface Area and Volume
TEKS
Guiding
Questions/
Specificity
Designated Six Weeks: 4th
Days to teach: 27
Assessment
Vocabulary
Instructional
Strategies
7.8 The student applies mathematical process standards to represent linear relationships using multiple representations.
base
Show 3-D figures of the
7.8(A) model the
Emphasize the
In order for a rectangular
base area
prism and pyramid.
relationship between
relationship in the
pyramid and a rectangular
Have students estimate
the volume of a
bases and the heights. prism to have a relationship
rectangular prism and
the relationship.
in their volumes, what
a rectangular pyramid
criteria must they have?
Have students fill the
having both congruent
pyramid with rice to see
bases and heights and
Correct answer:
how many it will take
connect that
Congruent bases and
to fill the prism.
relationship to the
heights.
formulas;
Connect the formulas to
the student’s
discoveries.
Not Tested
ELPS
http://ritter.tea.state.tx.us/rule
s/tac/chapter074/ch074a.html
7.8(B) explain
verbally and
symbolically the
relationship between
the volume of a
triangular prism and a
triangular pyramid
having both congruent
bases and heights and
connect that
relationship to the
formulas
2014-2015
Ensure that students
can explain the
relationship in both
words and symbols.
Jackson calculated the
volume of a triangular prism
to be 40.5 m3. If Susan has
a triangular pyramid with
the same size base and
height of Jackson’s
triangular prism, what is the
volume of Susan’s pyramid?
3
A. 121.5 m , because
40.5x3=121.5
B. 13.5 m3, because 40.5/3
= 13.5.
Base
Base area
Height
Cubic units
2F, 3E, 4F
Have student write the
mathematical
statements that relate
the two relationships.
Resources/
Weblinks
Hearne ISD
Course: 7th Grade Mathematics
Unit 7: Two-Dimensional Area
Unit 8: Surface Area and Volume
TEKS
Guiding
Questions/
Specificity
Not Tested
Mathematics
Designated Six Weeks: 4th
Days to teach: 27
Assessment
Vocabulary
Resources/
Weblinks
C. 20.25 m3, because 40.5/2
= 20.25.
D. Not here.
Correct answer: B
7.8(C) use models to
determine the
approximate formulas
for the circumference
and area of a circle and
connect the models to
the actual formulas.
Not Tested
7.9 The student applies mathematical process standards to solve geometric problems.
7.9(A) solve problems
Include dimensions
A storage trunk is shaped
Prism
involving the volume
that have rational
like a rectangular prism.
Base
of rectangular prisms,
number
The trunk’s volume is 18
Volume
triangular prisms,
measurements.
cubic feet. The length of the Cubic units
rectangular pyramids,
trunk is 6 feet, and the width Base area
and triangular
Have students use
of the trunk is 2 feet. What
pyramids.
rulers to measure the
is the height of this trunk?
dimensions before
F. 12 feet
determining volume.
G. 3 1/3 feet
Readiness Standard
H. 6 feet
Provide the volume
J. Not here
College Readiness
and have students
Correct answer: J
Standard:
http://www.thecb.state.tx.us/
solve for a particular
Released STAAR7 2013
collegereadiness/crs.pdf
dimension.
Q#4
Measurement
A.1.a, c, d, e
2014-2015
Instructional
Strategies
Teacher Tube: Area and
Circumference of Circles
Review what big B
means and how it
relates to the formula
for volume.
Break students into
groups and have them
work together on a
problem, using the
problem solving board
and then present to the
class their results.
Utilize ruler on the
formula chart.
Talk about “1/3 full”,
“2 inches below top”,
Hearne ISD
Mathematics
Course: 7th Grade Mathematics
Unit 7: Two-Dimensional Area
Unit 8: Surface Area and Volume
TEKS
Guiding
Questions/
Specificity
Designated Six Weeks: 4th
Days to teach: 27
Assessment
Vocabulary
Instructional
Strategies
Resources/
Weblinks
etc.
7.9(B) determine the
circumference and area
of circles
Recognize units
related to perimeter,
circumference, &
area.
The diagram below models
the length from the center of
a wind turbine to the tip of
one of its blades.
Readiness Standard
College Readiness
Standard:
Use pi as 3.14, 22/7,
π to solve problems.
http://www.thecb.state.tx.us/
collegereadiness/crs.pdf
Measurement
A.1.a, c, d, e
2014-2015
Which of these is closest to
the total area covered by the
blade when the turbine
makes 1 revolution?
F. 3,215 m2
G. 100 m2
H. 1,024 m2
J. 201 m2
Correct answer: F
Released STAAR7 2013
Q#10
Radius
Diameter
Circumference
Pi
Area
unit
Square unit
ELPS
http://ritter.tea.state.tx.u
s/rules/tac/chapter074/c
h074a.html
2D, 3E, 3I
Introduction: Show
video (Math’s Cool on
Safari Montage) that
provides examples of
finding circumference
and area of a circle.
Guided Practice:
Teacher models using
formulas and pi to solve
for area and
circumference of
circles.
Teacher Tube: Area and
Circumference of Circles
Hearne ISD
Mathematics
Course: 7th Grade Mathematics
Unit 7: Two-Dimensional Area
Unit 8: Surface Area and Volume
TEKS
Guiding
Questions/
Specificity
7.9(C) determine the
area of composite
figures containing
combinations of
rectangles, squares,
parallelograms,
trapezoids, triangles,
semicircles, and
quarter circles.
Use scale models to
solve real world
applications
problems.
College Readiness
Standard:
http://www.thecb.state.tx.us/
collegereadiness/crs.pdf
Measurement
A.1.a, c, d, e
Supporting Standard
2014-2015
Assessment
Use composite
figures to solve real
world application
problems.
Readiness Standard
7.9(D) solve problems
involving the lateral
and total surface area
of a rectangular prism,
rectangular pyramid,
triangular
prism, and triangular
pyramid by
determining the area of
the shape's net.
Designated Six Weeks: 4th
Days to teach: 27
Match the net
representation of 3D
figures of pyramids
and prisms with the
appropriate picture
and/or words.
Vocabulary
Composite Figure
Square unit
Unit
Complex figure
Regular polygon
Manipulatives – Use
Geomodels to allow
students to measure and
calculate areas of nets
(composite figures)
Refer to STAAR
reference formulas to
relate areas back to the
respective shapes on the
composite figure
Which of the following is
closest to the area of the
shaded rectangles of the
figure?
F. 25 cm2
G. 49 cm2
H. 16 cm2
J. 24 cm2
Correct answer: F
Released STAAR7 2013
Q#22
The net of a square pyramid
is shown below.
Instructional
Strategies
Give students word
problems to solve in
pairs (Rally Robin,
Think Pair Share).
Net
Lateral
Square units
Review the differences
between prisms and
pyramids so that
students can correctly
identify the figures to
use with their formula
charts.
Include lateral and
total surface areas.
Have student use
formula chart rulers
Which of the following is
closest to the lateral surface
area of the pyramid?
Allow students to use
Geoshapes and their
nets to measure surface
Resources/
Weblinks
Virtual Nerd Video :
“What is a Composite
Figure?”
Use iPad App for
Geoboards
Hearne ISD
Mathematics
Course: 7th Grade Mathematics
Unit 7: Two-Dimensional Area
Unit 8: Surface Area and Volume
TEKS
Guiding
Questions/
Specificity
College Readiness
Standard:
http://www.thecb.state.tx.us/
collegereadiness/crs.pdf
Measurement
A.1.a, c, d, e
to practice
determining
measurements on
their own.
Associate area of a
net to area of
composite figures.
Designated Six Weeks: 4th
Days to teach: 27
Assessment
F. 2.5 in2
G. 3.3 in2
H. 6.6 in2
J. 1.6 in2
Correct answer: F
Released STAAR8 2013
Q#28
Vocabulary
Instructional
Strategies
area without formulas.
Explain the use of P
and B. By having
students calculate the P
and B of various
geometrical solids.
Note: students often
confuse “h” height of a
triangle with the height
of the entire object.
2014-2015
Resources/
Weblinks
Manipulative: Use
Geoshapes and Nets.