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Authentic Learning Activities in Middle School Mathematics: Geometry

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 geometry 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 1Activity 1 opens with a review of the concept of congruence. Students are challenged to divide a 3 3 grid into two congruent halves in as many ways as possible. To provide a transition from two-dimensional shapes to three-dimensional figures, students are guided to visualize a truncated cube and cuboctahedron and to enumerate their edges, faces, and vertices. Activity 1 culminates in the students construction of the truncated cube and the cuboctahedron from provided templates. In Activity 2, students construct frame structures of pyramids and prisms of various types and are guided to the discovery of Eulers Theorem for these figures. Activity 3 provides templates for the construction of each of the five Platonic solids. By counting the edges, faces, and vertices of their models, students extend Eulers theorem to these figures. Then in Activity 4, they construct their own classroom geodesic dome and test Eulers Theorem for this structure. Unit 2Activity 1 involves students in selecting a point B on Front Street and a point C on Main Street so that the perimeter of DABC, a subway connection network, is a minimum. Students do this by using a string on a geoboard, by employing trial-and-error on grid paper, or by using dynamic software such as Sketchpad. In Activity 2, students count squares on a grid and apply the Pythagorean theorem to calculate (rather than estimate) the perimeter of DABC for various choices of grid points B and C. Then in Activity 3, students discover how to find the optimum locations for B and C by reflecting in two different lines. Finally, Activity 4 involves students in the application of the sum of the angles in a triangle theorem to determine the measures of the angles in DABC. All their findings are consolidated in a report to the City Planner indicating where subway stations B and C should be located.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: Geometry. To get started finding Authentic Learning Activities in Middle School Mathematics: Geometry, you are right to find our website which has a comprehensive collection of manuals listed.
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ISBN: 1895997178

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 geometry 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 1Activity 1 opens with a review of the concept of congruence. Students are challenged to divide a 3 3 grid into two congruent halves in as many ways as possible. To provide a transition from two-dimensional shapes to three-dimensional figures, students are guided to visualize a truncated cube and cuboctahedron and to enumerate their edges, faces, and vertices. Activity 1 culminates in the students construction of the truncated cube and the cuboctahedron from provided templates. In Activity 2, students construct frame structures of pyramids and prisms of various types and are guided to the discovery of Eulers Theorem for these figures. Activity 3 provides templates for the construction of each of the five Platonic solids. By counting the edges, faces, and vertices of their models, students extend Eulers theorem to these figures. Then in Activity 4, they construct their own classroom geodesic dome and test Eulers Theorem for this structure. Unit 2Activity 1 involves students in selecting a point B on Front Street and a point C on Main Street so that the perimeter of DABC, a subway connection network, is a minimum. Students do this by using a string on a geoboard, by employing trial-and-error on grid paper, or by using dynamic software such as Sketchpad. In Activity 2, students count squares on a grid and apply the Pythagorean theorem to calculate (rather than estimate) the perimeter of DABC for various choices of grid points B and C. Then in Activity 3, students discover how to find the optimum locations for B and C by reflecting in two different lines. Finally, Activity 4 involves students in the application of the sum of the angles in a triangle theorem to determine the measures of the angles in DABC. All their findings are consolidated in a report to the City Planner indicating where subway stations B and C should be located.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: Geometry. To get started finding Authentic Learning Activities in Middle School Mathematics: Geometry, 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: Geometry

Authentic Learning Activities in Middle School Mathematics: Geometry

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