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Authentic Learning Activities in Middle School Mathematics: Measurement

Brendan Kelly

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Description:Authentic Learning Activities in Middle School Mathematics is a series of five outstanding modules designed to capture the spirit and intent of the NCTM's Principles and Standards for School Mathematics 2000. The five modules correspond to the five strands of this Standards document and each module contains the following ten rich learning activities that contain student pages which can be photocopied. teacher notes containing answers to all the exercises, reduced student pages, complete lesson plans and teaching tips. rubrics for assessing student work. samples of student work classified according to the levels in the rubric. Internet-based extensions that refer students to Internet sites for guided exploration. graphing calculator explorations to reinforce and expand concepts. correlations to the expectations in the NCTM's Principles and Standards 2000. discussion of the new trends in mathematics education including NCTM policy statements pertaining to constructivism, assessment, and the use of technology.The first draft of these modules was commissioned by the Ontario Ministry of Education and Training and field tested across Ontario in 1998 and 1999. The overwhelming impact of these materials and the enthusiastic responses from teachers and students provided the impetus for the creation of these modules for American classrooms. This module addresses the expectations for grades 6 through 8 in the measurement strand of the NCTM's Principles and Standards for School Mathematics 2000. There are two units with five activities per unit. The content of the activities in each unit is described below.Unit 1In Activity 1, students are presented with an excerpt from Gullivers Travels in which Gulliver describes his dinner in Laputa. Since Swift confuses 2-D shapes and 3-D figures, this activity invites students to rewrite one paragraph correcting the errors. Students also estimate and calculate perimeters and areas of triangles and quadrilaterals on a grid. In Activity 2, students help the mathematicians escape the Kings new tax on right angles by transforming rectangles into trapezoids of equal area. This leads them to discover inductively the formula for the area of a right-angled trapezoid. Activity 3 builds on the previous explorations and formalizes the area formula for the trapezoid. Finally, in Activity 4, students are thrust into the role of tax appraiser to confront the classical paradox of the four shapes of total area 64 square units that seem to fit together to form a rectangle of area 65 square units.Unit 2Activity 1 presents students with a brief history of the soft-drink industry and the emergence of the aluminum beverage can. A line graph showing the number of aluminum cans produced in the U.S. between 1965 and 1995 reviews graphing concepts. By measuring the diameters and circumferences of various cans, students are led to discover the C = D relationship for circles. In Activity 2, they investigate the formula for the area of a circle to determine how much wastage results when circular disks are punched out of a sheet of aluminum. Activity 3 uses the C = D and A = D2/4 relationships to compare the surface areas of cylindrical cans of the same volume but different height and diameter. Students investigate the ratio that is optimal in minimizing the aluminum needed for a beverage can of capacity 355mL. Finally, in Activity 4, students investigate the amount of aluminum saved by recycling and are led through calculations and Internet investigations to the discovery that conservation is ultimately the most viable way to save the aluminum can from extinction.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Authentic Learning Activities in Middle School Mathematics: Measurement. To get started finding Authentic Learning Activities in Middle School Mathematics: Measurement, you are right to find our website which has a comprehensive collection of manuals listed.
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ISBN: 1895997186

Description: Authentic Learning Activities in Middle School Mathematics is a series of five outstanding modules designed to capture the spirit and intent of the NCTM's Principles and Standards for School Mathematics 2000. The five modules correspond to the five strands of this Standards document and each module contains the following ten rich learning activities that contain student pages which can be photocopied. teacher notes containing answers to all the exercises, reduced student pages, complete lesson plans and teaching tips. rubrics for assessing student work. samples of student work classified according to the levels in the rubric. Internet-based extensions that refer students to Internet sites for guided exploration. graphing calculator explorations to reinforce and expand concepts. correlations to the expectations in the NCTM's Principles and Standards 2000. discussion of the new trends in mathematics education including NCTM policy statements pertaining to constructivism, assessment, and the use of technology.The first draft of these modules was commissioned by the Ontario Ministry of Education and Training and field tested across Ontario in 1998 and 1999. The overwhelming impact of these materials and the enthusiastic responses from teachers and students provided the impetus for the creation of these modules for American classrooms. This module addresses the expectations for grades 6 through 8 in the measurement strand of the NCTM's Principles and Standards for School Mathematics 2000. There are two units with five activities per unit. The content of the activities in each unit is described below.Unit 1In Activity 1, students are presented with an excerpt from Gullivers Travels in which Gulliver describes his dinner in Laputa. Since Swift confuses 2-D shapes and 3-D figures, this activity invites students to rewrite one paragraph correcting the errors. Students also estimate and calculate perimeters and areas of triangles and quadrilaterals on a grid. In Activity 2, students help the mathematicians escape the Kings new tax on right angles by transforming rectangles into trapezoids of equal area. This leads them to discover inductively the formula for the area of a right-angled trapezoid. Activity 3 builds on the previous explorations and formalizes the area formula for the trapezoid. Finally, in Activity 4, students are thrust into the role of tax appraiser to confront the classical paradox of the four shapes of total area 64 square units that seem to fit together to form a rectangle of area 65 square units.Unit 2Activity 1 presents students with a brief history of the soft-drink industry and the emergence of the aluminum beverage can. A line graph showing the number of aluminum cans produced in the U.S. between 1965 and 1995 reviews graphing concepts. By measuring the diameters and circumferences of various cans, students are led to discover the C = D relationship for circles. In Activity 2, they investigate the formula for the area of a circle to determine how much wastage results when circular disks are punched out of a sheet of aluminum. Activity 3 uses the C = D and A = D2/4 relationships to compare the surface areas of cylindrical cans of the same volume but different height and diameter. Students investigate the ratio that is optimal in minimizing the aluminum needed for a beverage can of capacity 355mL. Finally, in Activity 4, students investigate the amount of aluminum saved by recycling and are led through calculations and Internet investigations to the discovery that conservation is ultimately the most viable way to save the aluminum can from extinction.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Authentic Learning Activities in Middle School Mathematics: Measurement. To get started finding Authentic Learning Activities in Middle School Mathematics: Measurement, you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.

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Authentic Learning Activities in Middle School Mathematics: Measurement

Authentic Learning Activities in Middle School Mathematics: Measurement

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