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EXTENDED LEARNING
STUDENT MODULE
OFFICE OF ACADEMICS AND TRANSFORMATION
2013-2014
MATH
GRADE 7 SESSION 8
THE SCHOOL BOARD OF MIAMI-DADE COUNTY, FLORIDA
Ms. Perla Tabares Hantman, Chair
Dr. Lawrence S. Feldman, Vice-Chair
Dr. Dorothy Bendross-Mindingall
Ms. Susie V. Castillo
Mr. Carlos L. Curbelo
Dr. Wilbert “Tee” Holloway
Dr. Martin Karp
Dr. Marta Pérez
Ms. Raquel A. Regalado
Ms. Krisna Maddy Student Advisor
Mr. Alberto M. Carvalho Superintendent of Schools
Ms. Maria L. Izquierdo Chief Academic Officer
Office of Academics and Transformation
Dr. Maria P. de Armas Assistant Superintendent
Division of Academics, Accountability & School Improvement
Mr. Cristian Carranza Administrative Director
Division of Academics, Accountability & School Improvement Department of Mathematics and Science
Department of Career and Technical Education
Ms. Michelle R. White Executive Director
Department of Mathematics and Science
Date: Today’s AGENDA
Topic
Surface Area
Activities
Home Learning Assignment
Today I learned:
Office of Academics and Transformation, Mathematics Page 1 of 20
Grade 7 Session 8
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Grade 7 Session 8
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Grade 7 Session 8
Transparency: Net: Rectangular Prism
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Grade 7 Session 8
Transparency: Sample Problem
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Grade 7 Session 8
Activity I: Surface Area and Nets
Find the surface area of each rectangular prism using the nets.
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Grade 7 Session 8
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Grade 7 Session 8
Activity II – Calculating Surface Area
Name _______________________
____ 1 Find the surface area of the prism.
11 cm
2.4 cm
5 cm
____ 2 Find the surface area of the prism formed by the net.
11.5 m
3.8 m
4 m
11.5 m3.8 m
F. 104.9 m
2 H. 174.8 m
2
G. 209.8 m2 I. 69.2 m
2
Office of Academics and Transformation, Mathematics Page 8 of 20
Grade 7 Session 8
3 Larry has a toy box that he wants to paint for his children. The toy box has a length of 5 ft, a width of 4 ft, and a height of 2 ft. Find the surface area of the toy box. Show your work.
____ 4 Find the surface area of the pyramid. If necessary, round your answer to the nearest hundredth.
15 m
15 m
12 m
F. 81,000 m
2 H. 360 m
2
G. 307.8 m2 I. 585 m
2
Office of Academics and Transformation, Mathematics Page 9 of 20
Grade 7 Session 8
Activity III – Solid Creations
Name _______________________
SOLID CREATIONS Adapted from M-DCPS’s Geometry Measures Up Packet
A Regular Polyhedron is a solid, three-dimensional figure each face of which is a regular polygon with equal sides and equal angles. Every face has the same number of vertices, and the same number of faces meet at every vertex. An inscribed (inside) sphere touches the center of every face, and a circumscribed sphere (outside) touches every vertex. There are five and only five of these figures, also called the Platonic Solids: the tetrahedron, cube, octahedron, dodecahedron, and icosahedron. Before cutting out the following figures, find the measurements of the sides and the heights of the triangles where appropriate. Write the measurements in the table on the next page. If there are four sides that have the same dimensions, indicate the dimensions x 4. Use a separate sheet of paper if needed.
Then, cut out each shape along the exterior sides. Decorate each shape. Fold along the interior segments. Assemble the solids by tucking in the tabs and gluing or taping. Display your solids by hanging them on a hanger or mounting them on a board (i.e., shoe box lid).
Office of Academics and Transformation, Mathematics Page 10 of 20
Grade 7 Session 8
SOLID CREATIONS
Figure
Dimensions
of Each Face
Area of
Each Face
Surface Area
Cube
Octahedron
Square Pyramid
Triangular
Pyramid
Show work in the space below:
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Grade 7 Session 8
CUBE
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Grade 7 Session 8
OCTAHEDRON
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Grade 7 Session 8
SQUARE PYRAMID
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Grade 7 Session 8
TRIANGULAR PYRAMID
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Grade 7 Session 8
Reinforcement Activity
Identify the choice that best completes the statement or answers the question.
____ 1 Rebecca gives gifts to 12 employees. Each gift is in a box that is 12 inches by
10 inches by 3 inches. How much wrapping paper does Rebecca need to
completely the cover the boxes?
A 360 in² C 4,464 in²
B 1,720 in² D 14,400 in²
____ 2 Tameem bought a candle in the shape of a square pyramid. The sides of the base
are 3.5 in. long, and the pyramid has a slant height of 8.8 in. Find the surface area
of the candle to the nearest tenth. Show your work.
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Grade 7 Session 8
____ 3 Carolina wants to paint the following square pyramid. How much paint will she
need?
F. 123.5 in2 H. 663 in
2
G. 494 in2 I. 988 in
2
4 Rebecca gives out 12 gifts. Each gift is in a box that is a rectangular prism that
is 12 in. × 10 in. × 3 in. Rebecca has 4,450 in 2 of wrapping paper. Is this enough
paper to wrap all 12 gifts? Justify your answer.
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Grade 7 Session 8
End of Instruction Assessment
Identify the choice that best completes the statement or answers the question.
____ 1 How much wrapping paper do you need to completely cover a rectangular
box that is 20 inches by 18 inches by 2 inches?
____ 2 The Transamerica Building in San Francisco is a square pyramid with a
metal top. The metal top has a base perimeter of 43 m and a slant height of
65 m. How many square meters of aluminum were required for the top of
the Transamerica Building?
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Grade 7 Session 8
Below is a square pyramid designed by Chinese-American architect I.M. Pei. Use it to answer the questions. Circle the letter of the correct answer.
____ 3 The pyramid’s base area is:
A 35 m C 1,225 m2
B 140 m2 D 122 m
____ 4 The surface area of the glass walls is:
A 1,890 m C 4,114 m2
B 2,112 m2 D 6,028 m
Office of Academics and Transformation, Mathematics Page 19 of 20
Grade 7 Session 8
Non-Discrimination Policy
The School Board of Miami-Dade County, Florida adheres to a policy of nondiscrimination in employment and educational programs/activities and strives affirmatively to provide equal opportunity for all as required by:
Title VI of the Civil Rights Act of 1964 - prohibits discrimination on the basis of race, color, religion, or national origin.
Title VII of the Civil Rights Act of 1964, as amended - prohibits discrimination in employment on the basis of race, color, religion, gender, or national origin.
Title IX of the Educational Amendments of 1972 - prohibits discrimination on the basis of gender.
Age Discrimination in Employment Act of 1967 (ADEA), as amended - prohibits discrimination on the basis of age with respect to individuals who are at least 40.
The Equal Pay Act of 1963, as amended - prohibits gender discrimination in payment of wages to women and men performing substantially equal work in the same establishment.
Section 504 of the Rehabilitation Act of 1973 - prohibits discrimination against the disabled.
Americans with Disabilities Act of 1990 (ADA) - prohibits discrimination against individuals with disabilities in employment, public service, public accommodations and telecommunications.
The Family and Medical Leave Act of 1993 (FMLA) - requires covered employers to provide up to 12 weeks of unpaid, job-protected leave to “eligible” employees for certain family and medical reasons.
The Pregnancy Discrimination Act of 1978 - prohibits discrimination in employment on the basis of pregnancy, childbirth, or related medical conditions.
Florida Educational Equity Act (FEEA) - prohibits discrimination on the basis of race, gender, national origin, marital status, or handicap against a student or employee.
Florida Civil Rights Act of 1992 - secures for all individuals within the state freedom from discrimination because of race, color, religion, sex, national origin, age, handicap, or marital status.
Title II of the Genetic Information Nondiscrimination Act of 2008 (GINA) - Prohibits discrimination against employees or applicants because of genetic information.
Veterans are provided re-employment rights in accordance with P.L. 93-508 (Federal Law) and Section 295.07 (Florida Statutes), which stipulates categorical preferences for employment. In Addition:
School Board Policies 1362, 3362, 4362, and 5517 - Prohibit harassment and/or discrimination against students, employees, or applicants on the basis of sex, race, color, ethnic or national origin, religion, marital status, disability, genetic information, age, political beliefs, sexual orientation, gender, gender identification, social and family background, linguistic preference, pregnancy, and any other legally prohibited basis. Retaliation for engaging in a protected activity is also prohibited.
Revised: (05-12)
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Grade 7 Session 8
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