Determine the Efficiency of
Representing Different
Problems
Lesson
Topic Index | Grade 6 Math | Intermediate Test Prep | StudyZone

Determining the best way of representing a problem can be a challenge. There is more than one way to solve a problem...but...which way is the most effective?

Let's look at a couple of problems and at the possible representations that would help you solve the problem.

In other words...what can I use to help me solve  problems efficiently?

I can make a list, table, or chart. I can draw a picture or a diagram to help me solve the problem.


Example:
Compare 4,843 to 4,456
Strategy 1: You can use a number line.

4,843 is to the right of 4,456 on the number line.  So 4,843 > 4,456

Another way of representing this problem...

Strategy 2: You can look at the place value.


8 hundreds > 4 hundreds
So, 4,843 > 4,456

Creating a number line takes more time than just looking at the place value to compare the number. The most important thing to remember is to use the strategy that not only helps you solve the problem correctly, but the strategy that helps you understand why!

 

Example:

Mason buys candy for $3.89 and pays with a five dollar bill.  How much change does he get?

Strategy 1: Count Up to Find the Change
Count up from $3.89.

Mason's change is 1 dime, 1 penny, and 1 dollar or $1.11

Another way of representing this problem...

Strategy 2: Subtract Cost from Amount Paid


Mason's change is 1 dime, 1 penny, and 1 dollar or $1.11

Let's Practice

 
Topic Index | Grade 6 Math | Intermediate Test Prep | StudyZone

Created by Carol Carroll
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