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Making Sense of Percents

Published on Nov 19, 2015

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PRESENTATION OUTLINE

MAKING SENSE

OF PERCENTS
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COMMON CORE

GRADE 6 MATHEMATICS


FEAR! ANXIETY!

These are common reactions to having to think about mathematics.

How do you feel when you hear the word MATH?

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RELAX,LET'S DO

SOME MENTAL MATH!


RELAX!

We're going to work through this together.
Photo by Steven Leith

NO PENCILS!

LET'S USE OUR HEADS.


Maybe this is one of those times when a pencil can slow you down.

Let's think about this.
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THE PROBLEM:

FIND 65% OF 80.


We are being asked to find 65% of 80.

The fortune cookie tells us that you are a deep thinker with a knack for problem solving.

100% MEANS

THE WHOLE THING


100% means the entire quantity.


100% of 10 is 10.

100% of 1 is 1.

100% of 1/2 is 1/2.
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50% MEANS

HALF


50% means half of the whole? It could be a half-moon, or half of a pizza.

50% of 10 is 5.

50% of 1 is 1/2.

50% of 1/2 is 1/4.

10% MEANS

A TENTH, DIVIDE BY 10


10% means a tenth of the whole.

A tenth of one dollar is a dime.

10% of 10 is 1.

10% of 1 is 0.1.

10% of 1/2 is 1/20 or 0.05.
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5% MEANS

5 OUT OF EVERY 100; OR HALF OF 10%.


5% is half of 10%. 5% of a dollar is a nickel.

5% of 100 is 5.

5% of 10 is 0.5.

5% of 1 is 0.05.

THE WHOLE

IS 80!


In this problem, the whole is 80.

CHUNK THE WHOLE!

50% + 10% + 5% = 65%


We'll break this down and deal with smaller and friendlier pieces called chunks.

We'll think about 50% of 80, 10% of 80, and 5% of 80.
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40 + 8 + 4 = ?

50% + 10% + 5%


Do you know where the 40, 8, and 4
came from?
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DO YOU KNOW

THE ANSWER?


If you can add these numbers correctly, you have the answer.

Add: 40 + 8 + 4

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AND THE ANSWER IS

52
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COMMON CORE MATH

6.RP.A.3C; FIND PERCENT OF NUMBERS
Photo by SalFalko