Sphere: Measuring its Surface Area and Volume

Introduction

Measurement is one of the topics that pupils do not perform well. This is reflected in the results of the Trends in International Mathematics and Science Study (TIMSS). In this international assessment, Filipino pupils performed way behind their counterparts in other countries and in this content domain that their performance is the least.  There could be a lot of reasons for our pupils’ performance. One of which could be the lack of instructional materials and resources that could be used by the pupils as well as by the teachers.

This material is meant for teaching the surface area and volume of a sphere.  The activities presented may be used as supplementary materials in introducing these topics. Surface area and volume of a sphere are new additions to the K to 12 curriculum for the elementary grades mathematics.  The concepts being address in this material are built from those that have been taught in their previous lessons.

Volume of a Sphere (PowerPoint)
Guide for the Teacher (Word)

Surface Area of a Sphere (PowerPoint)
Guide for the Teacher (Word)

Curriculum entry point

  • Grade level: 6
  • Main topic: Measurement
  • Specific topic: Surface area, Volume

Science/Math Key Ideas and Processes

  • The area (A) of a circle can be obtained by the formula Acircle = pr2, where r stands for the radius of the circle.
  • The surface area (SA) of a sphere can be obtained by the formula SAsphere=4pr2, where r stands for the radius of the sphere.
  • The surface area of a sphere is four times greater than the area of its great circle.
  • The volume (V) of a sphere may be obtained using the formula Vsphere=r3, where r represents the radius of the sphere.
  • The sphere may be cut into several pyramid-like solids with heights equal to the radius of the sphere. The sum of the volumes of these pyramid-like solids approximates the volume of the sphere.

Features of the resource

  • This resource material includes a powerpoint presentation and an accompanying teaching guide.
  • The concept addressed in this resource material is built from what have been taught to the pupils in their past lessons.
  • The materials allowed for both discussion and hands-on activity.

Questions for reflection (engaging the teachers)

  • How is the presentation of the lesson the same or different from how you typically teach the topic?
  • Which part of the resource material did you find difficult/easy to present to the pupils?
  • What difficulties have you encountered in using this resource material? Why?
  • If you were to revise this resource material, what revision/s would you do?

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