2 nd grade math property of transivity created by joanne whitley june 18, 2008

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2 nd Grade MATH Property of Transivity Created by Joanne Whitley June 18, 2008

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Page 1: 2 nd Grade MATH Property of Transivity Created by Joanne Whitley June 18, 2008

2nd Grade MATHProperty of Transivity

Created by Joanne Whitley

June 18, 2008

Page 2: 2 nd Grade MATH Property of Transivity Created by Joanne Whitley June 18, 2008

This property relates to linear measurement This means it has to do with the measurements of lines.

If line A is longer than line B, and line B is longer than line C, then A is longer than C.

Line A

Line B

Line C

Let’s take this apart and see what it means.

Page 3: 2 nd Grade MATH Property of Transivity Created by Joanne Whitley June 18, 2008

You could also state its opposite

If line A is longer than line B, and line B is longer than line C, then A is longer than C.

Line A

Line B

Line C

Let’s take this apart and see what it means.

Page 4: 2 nd Grade MATH Property of Transivity Created by Joanne Whitley June 18, 2008

You must keep up with what the line letters are. In your mind make a mental picture of the length. The line could be other things that you measure the length….like a pencil or a log.

Page 5: 2 nd Grade MATH Property of Transivity Created by Joanne Whitley June 18, 2008

Let’s try an example.

• You know that pencil A is too long to fit in your pencil box.

• Pencil B is longer than pencil A.

• Will pencil B fit in the pencil box?

Page 6: 2 nd Grade MATH Property of Transivity Created by Joanne Whitley June 18, 2008

Pencil

Box

Pencil A is too long to fit in the pencil box.

Page 7: 2 nd Grade MATH Property of Transivity Created by Joanne Whitley June 18, 2008

Pencil B is longer than pencil A.

Pencil A

Pencil B

If pencil A can’t fit in because it is too long, will pencil B fit in?

Page 8: 2 nd Grade MATH Property of Transivity Created by Joanne Whitley June 18, 2008

Pencil A

Pencil B

If pencil A can’t fit in because it is too long, will pencil B fit in? Of course not! It is even longer than pencil A!!!

Pencil

Box

Page 9: 2 nd Grade MATH Property of Transivity Created by Joanne Whitley June 18, 2008

These logs are 7 feet long.

Page 10: 2 nd Grade MATH Property of Transivity Created by Joanne Whitley June 18, 2008

These logs are 5 feet long.

Page 11: 2 nd Grade MATH Property of Transivity Created by Joanne Whitley June 18, 2008

These logs are 5 feet long.

The log truck’s bed is shorter than these logs.

Page 12: 2 nd Grade MATH Property of Transivity Created by Joanne Whitley June 18, 2008

Will the truck carry the 7 foot logs?

Page 13: 2 nd Grade MATH Property of Transivity Created by Joanne Whitley June 18, 2008

NO! If it cannot carry the 5’ logs, it cannot carry the 7’ logs because they are even LONGER!

Page 14: 2 nd Grade MATH Property of Transivity Created by Joanne Whitley June 18, 2008

If A is longer than B, and B is longer than C, then A is longer than C.

The 7’ logs were A, the 5’ logs were B, and the truck bed was C. So the 7” (A) longs are longer than the truck bed (C).

= A

= B

= C

Page 15: 2 nd Grade MATH Property of Transivity Created by Joanne Whitley June 18, 2008

Make up a problem of your own, using pictures, that will help illustrate this property so that others will understand it better.

Page 16: 2 nd Grade MATH Property of Transivity Created by Joanne Whitley June 18, 2008