Fractions, ratios, and percents

URL: http://www.learner.org/channel/courses/learningmath/number/session9/index.html

1007936

In this workshop session, elementary and middle school teachers work with an area model for multiplication and division with fractions and examine operations with decimals. They also explore percents and the relationships among various representations of percentages. Finally, they consider Fibonacci numbers and the place of the golden rectangle as an architectural element throughout history. These ideas are investigated through interactive applets, problem sets, and video. This is session 9 of Learning Math: Number and Operations, a free online course.

Summary

Subject keyword(s)	Arithmetic, Decimals, Division, Education, Fractions, Mathematics, Multiplication, Number and operations, Percent, Process skills, Real world applications, Representation
Grade level	Elementary School, Middle School, Vocational/Professional Development Education
Intended audience	Educator, Professional/Practitioner
Resource type	Instructional Material
Resource format	text, text/html
Rights	1997-2007 Annenberg Media. All rights reserved.

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Title	Middle School Portal: Math and Science Pathways (MSP2)
Link	http://msteacher2.org/
Description	The Middle School Portal 2: Math and Science Pathways (MSP2) supports middle grades educators with high-quality, standards-based resources and promotes collaboration and knowledge-sharing among its users. Educators use MSP2 to increase content knowledge in science, mathematics, and appropriate pedagogy for youth ages 10 to 15. MSP2 employs social networking and digital tools to foster dynamic experiences that promote creation, modification, and sharing of resources, facilitate professional development, and support the integration of technology into practice. MSP2 is a project of the Ohio State University College of Education and Human Ecology, National Middle School Association, and Education Development Center, Inc., and is funded by the National Science Foundation. The partners integrate resources, tools, and services across projects, and support multiple methods of resource discovery to meet the needs of this audience.
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Content contained within the resource

      In this session, we'll look at several topics related to fractions, percents, and ratios. As in earlier sessions, we'll look at graphical and geometric representations of these topics, as well as some of their applications in the physical world. As you work through the activities in this session, reflect on how mathematics is reasonable and logical, and how it is helpful to look for the logical patterns that emerge when you think about a mathematical situation. For information on required and/or optional material, see Note 1 Part A: Models for the Multiplication and Division of Fractions Part B: Decimals and Percents Part C: Fibonacci Numbers Homework     In this session, you will do the following: •  Understand how to use area models for computation with fractions and decimals •  Use benchmarks to estimate the "reasonableness" of answers to percent problems •  Understand the meaning of "percent" •  Solve percent problems with proportions •  Explore Fibonacci numbers Throughout the session you will be prompted to view short video segments. In addition to these excerpts, you may choose to watch the full-length video of this session. Previously Introduced: New in This Session:   quotative division area model for multiplication common denominator model for division Fibonacci sequence golden mean golden rectangle percent proportion ratio Next > Part A: Models for the Multiplication and Division of Fractions Learning Math Home | Number Home | Glossary | Map | © Session : Index | Notes | Solutions | Video Home | Catalog | About Us | Search | Contact Us| Site Map Tweet | © Annenberg Foundation 2012. All rights reserved. Privacy Policy