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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


Grade 7 Session 8

Transparency: Net: Rectangular Prism


Grade 7 Session 8

Transparency: Sample Problem


Grade 7 Session 8

Activity I: Surface Area and Nets

Find the surface area of each rectangular prism using the nets.


Grade 7 Session 8


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


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


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).


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:


Grade 7 Session 8

CUBE


Grade 7 Session 8

OCTAHEDRON


Grade 7 Session 8

SQUARE PYRAMID


Grade 7 Session 8

TRIANGULAR PYRAMID


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.


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.


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?


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


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)


Grade 7 Session 8

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