Lesson Plan

Scaling Principal for Areas and Volumes

How does the ratio of lengths of corresponding edges of similar solids compare with the ratio of their volume
Julio S.
Classroom teacher
The cobble hill school of American Studies
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My Grades 10
My Subjects Math
Objectives

Students will be able to determine and explain why the scale factor (ratio 0f Side-Length) is the magnitude-squared or the magnitude-cubed according to the area or volume of similar polygons in 2 and 3-dimensions.  

Subjects
Math
Grades 10
All Notes
Teacher Notes
Student Notes

1 Scaling Principal for Areas and Volumes

The scaling Principal for Areas and Volumes mini lesson takes students through the procedure of finding how the scale factor (ratio 0f Side-Length) is the magnitude-squared or the magnitude-cubed respectively when working with similar polygons and solids. 

Student Instructions

Inventory for Area of Polygons:

DIRECTIONS: FIND 2-OTHER STUDENTS IN YOUR CLASS WHO CAN EASILY GIVE THE area OF A RECTANGLE AND TRIANGLE. WRITE THE NAME OF THE PERSON WHOM YOU ASKED ABOUT THE AREA OF A RECTANGLE IN THE 1ST BOX AND THE NAME OF THE 2ND PERSON YOU ASKED HOW TO FIND THE AREA OF A TRIANGLE IN THE SECOND BOX.

 

 

 

 

_______________________

           his or her name

 

2nd

The following  NAMED STUDENT  in my class can easily find the AREA of any type of TRIANGLE.

 

 

__________________

    her or his name