MATH EXTENDED LEARNING STUDENT MODULE GRADE 7 SESSION 10 CURRICULUM AND INSTRUCTION OFFICE OF ACADEMICS 2011-2012 AND TRANSFORMATION 2013-2014
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 Volume Activities Home Learning Assignment Today I learned: Office of Academics and Transformation, Mathematics Page 1 of 16
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CENTIMETER GRID PAPER Office of Academics and Transformation, Mathematics Page 5 of 16
Activity I: Team Problem-Solving: Rectangular Prisms Problem 1: A rectangular tank, 30 cm long and 20 cm wide, is filled with water to a depth of 8 cm. When a stone was put in, the water level rose to 11 cm. Find the volume of the stone. (Assume that the stone was completely under water.) Problem 2: A rectangular tank, 32 cm long and 30 cm wide, contained some water and a stone. When the stone was taken out, the water level dropped by 2 cm. Find the volume of the stone. (Assume that the stone was completely under water.) Office of Academics and Transformation, Mathematics Page 6 of 16
Activity I: Team Problem-Solving: Rectangular Prisms Name Problem 1: A rectangular tank, 30 cm long and 20 cm wide, is filled with water to a depth of 8 cm. When a stone was put in, the water level rose to 11 cm. Find the volume of the stone. (Assume that the stone was completely under water.) Problem 2: A rectangular tank, 32 cm long and 30 cm wide, contained some water and a stone. When the stone was taken out, the water level dropped by 2 cm. Find the volume of the stone. (Assume that the stone was completely under water.) Show all work below: Team Name: Conjecture (in a complete sentence): Picture: Math Work: Reflection on our Conjecture: Office of Academics and Transformation, Mathematics Page 7 of 16
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Activity II: Team Problem-Solving: Cylinders How Many Jelly Beans Fill A One-Liter Bottle? A one-liter bottle in the shape of a cylinder is filled with jelly beans. An examination of a jelly bean reveals that it is approximately the size of a small cylinder that measures about 2 centimeters long by about 1.5 centimeters in diameter. The irregular shape of jelly beans result in them not being tightly packed; therefore, approximately 80% of the volume of the bottle is filled. About how many jelly beans fill the one-liter bottle? Office of Academics and Transformation, Mathematics Page 9 of 16
Activity II: Team Problem-Solving: Cylinders Name Problem: A one-liter bottle in the shape of a cylinder is filled with jelly beans. An examination of a jelly bean reveals that it is approximately the size of a small cylinder that measures about 2 centimeters long by about 1.5 centimeters in diameter. The irregular shape of jelly beans result in them not being tightly packed; therefore, approximately 80% of the volume of the bottle is filled. About how many jelly beans fill the oneliter bottle? Show all work below: Team Name: Conjecture (in a complete sentence): Picture: Math Work: Reflection on our Conjecture: Office of Academics and Transformation, Mathematics Page 10 of 16
Reinforcement Activity Identify the choice that best completes the statement or answers the question. 1 A local theater company is redesigning its popcorn containers. The current container is a rectangular prism, and the new container will be a right, circular cylinder. The dimensions of the containers are shown below. Which of the following is closest to the difference in volume between the cylinder and rectangular prism? A 237 cm 3 C 3693 cm 3 B 3456 cm 3 D 7149 cm 3 Office of Academics and Transformation, Mathematics Page 11 of 16
2. A construction company has a contract to build a memorial. The memorial will be a right, circular, cylinder with a radius of 12 yards and a height of 10 yards. The entire interior of the cylinder will filled with steel. How much steel will be needed to fill the memorial, to the nearest cubic yard? Office of Academics and Transformation, Mathematics Page 12 of 16
3. Mrs. Washington's class is collecting cans of soup for a local food drive. The class plans to package the cans in boxes before distributing them. They want to find the volume of a soup can so they figure out how many will fit in each box. A diagram of one soup can is shown below. What is the best approximation of the volume, in cubic inches, of the soup can in the diagram? F. 75.4 in 3 H. 150.7 in 3 G. 113.0 in 3 I. 301.4 in 3 Office of Academics and Transformation, Mathematics Page 13 of 16
End of Instruction Assessment Identify the choice that best completes the statement or answers the question. 1. Curtis is helping his parents make holiday gifts to donate to charity. From a piece of wood, he is cutting out a wooden block that is in the shape of a rectangular prism and would like to know the volume of the block. What is the volume of the block, to the nearest cubic centimeter, shown in the diagram above? Office of Academics and Transformation, Mathematics Page 14 of 16
2 Juan is installing a pool in his yard. Based on the shape and size of his yard, he is considering either a rectangular or a cylindrical pool. The dimensions of each pool type are shown below. Which of the following is closest to the difference in volume between the two pools? A 826 ft 3 C 2352 ft 3 B 1526 ft 3 D 3878 ft 3 3 Shrewsberry's local gas station plans on installing a new cylindrical storage tank. The gas station owner wants to know how much earth the new tank will displace by calculating its volume. What is the volume, in cubic feet, rounded to the nearest foot, of the cylindrical gas tank shown in the diagram? Office of Academics and Transformation, Mathematics Page 15 of 16
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) Office of Academics and Transformation, Mathematics Page 16 of 16