Math diversification within and without, lesson plan
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Describe a lesson in which you were required to integrate mathematical concepts across content areas. How is this different than using integration within mathematical concepts?
Develop a lesson plan that incorporates the use of manipulatives and technology.
· Include all components of an effective lesson plan, including the following:
o A list of manipulatives and technology under materials and resources
o An explanation of the integration of another subject in your topic and objectives
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Solution Summary
Diversification of math concepts both withinmath and across subject areas, authentic activities, and a lesson plan for elementary using manipulatives and symmetry in shapes. Web-references.
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Describe a lesson in which you were required to integrate mathematical concepts across content areas. How is this different than using integration within mathematical concepts?
Integrating math concepts across content areas involves using math in other subject, or academic areas. For instance, if I time students running the 100 yard dash in PE, and then figure out their miles per hour speed, that is using math concepts across subject areas. Figuring out how many square feet of canvas my quart of primer paint will cover, if I give it two coats, is using math concepts in Art class. If I figure out the percentage of the US population that was killed during WWII, that is using math in Social Studies/History.
Integrating within math concepts is combing math concepts, or using more than one function, in problem solving, perhaps using fractions and percentages, or perhaps using measurement and computations. The problem where you time students running the 100 yard dash integrates math concepts within mathematics, since it involves measurement, and computation. Authentic activities,or real-life problems to solve, often involve integrating math concepts within mathematics. Sometimes it also involves integration across subject areas, as well - the PE problem is a good example of both.
A Web-based lesson plan for first grade on this topic of shape symmetry is located at the following Web site: http://www.lessonplanspage.com/MathSymmetryByFoldingShapesAndLetters1.htm, but this one below is for older students, and I modified it somewhat to include an alternate subject activity in Art.
LESSON PLAN - also included in attachment, which preserves formatting:
Name: Leta Roberts, modified by Dianne Stephens for older students and art activities
Grade Level/Subject - Grade 2, 3 and 4/Mathematics
Topic: Folding Shapes: Are the Sides the Same?
Objectives (P.A.S.S.): Standard 4.1.a -Determines figures that are symmetrical by folding.
Instructional Objectives:
The student will be able to:
1. Recall the shapes-circles, squares, triangles, ovals, diamonds, and rectangles in various orientations/positions.
2. Define ...
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