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ExplorA-Pond:2nd Grade Shapes & Fractions

Life Skills:

  • Thinking & Reasoning

Time Frame:
1 class period that runs 45 minutes.

Group Size:
Small Groups



 

 

Summary:
Students will represent the shape of the pond using simple geometric shapes or fractions of those shapes.

Main Curriculum Tie:
Oral Language-Students develop language for the purpose of effectively communicating through listening, speaking, viewing, and presenting.

Materials:
A Map, drawing, or airplane view of your pond. If you are unable find a drawing of a pond, use the printout of the virtual pond; Sample circle, square, rectangle etc. shape cutouts. Note: These should be sized to match the scale of the pond you wish to represent; Overhead transparency of the pond map. Overhead projector

Background For Teachers:
Students should have already created the following shapes in previous lessons: circles, squares, rectangles, trapezoids, and triangles. Students should have the dexterity to fold a shape in half.

Intended Learning Outcomes:
Students will explore the folding of shapes as a means of creating congruent parts. Students will apply fractions such as 1/2 and 1/4 to problem situations.

Instructional Procedures:
A fun construction paper activity is to fold a piece of paper in half and cut a half circle out with the center along the fold. Unfold the halfcircle to create a full circle. This technique is frequently used to create the hearts used on Valentine's Day. Demonstrate the reverse process by taking a Square of construction paper and folding in half (creating a triangle if folded on the diagonal). Unfold the paper to show how the two halves are congruent (same size and shape). 1. Display the overhead transparency of the pond. Place several shapes on the pond trying to match the shape of the pond. Note the undercoverage or overcoverage created by complete shapes. 2. Fold another shape in half, cut it, and see if it creates a better approximation of the pond shape when used in combination with the other shapes. Demonstrate how to create four congruent areas from a shape. Have the students note that generally the overcoverage or undercoverage decreases as you use smaller portions of the shapes to cover the pond. 3. Assign the students into small groups, each group with a pair of scissors, a set of shapes, and a handout showing the map of the pond. Let the group work to discover what combination of shapes and shape halves or shape quarters best represents the shape of the pond. 4. Let several groups share the combination of shapes and/or shape fractions that they think best represent the shape of the pond. Be prepared to accept several solutions to matching the shape of the pond. 5. When the presentations are complete, ask the groups to list any advantages gained by cutting the shapes into halves and quarters. Some may feel that they were able to more closely match the shape of the pond using the fractional shapes. Others may feel that this just 'created too many pieces to track'.

Extensions:
1. You may wish to explore the use of half in the English Language. Ask the students to watch to see if the word half is used in a mathematical sense. Some common terms may be half wit, better half, half back, half hearted, half a mind, half dollar, and halfway.

Created Date :
Mar 19 1999 13:38 PM