Learning Goal LG Demonstrate an understanding of place value including numbers that are less than one thousandth Kid friendly show that you can name the place value of numbers up to three spots after the decimal point ID: 563127
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Slide1
Small NumbersSlide2
Learning Goal
LG: Demonstrate
an understanding of place value, including numbers that are:
•
less than one thousandth
Kid friendly: show that you can name the place value of numbers up to three spots after the decimal pointSlide3
What do I think I know?
Examples of where I see small numbersSlide4
Whole, Ten
ths
, Hundred
ths
, Thousand
ths
Decimals and fractions are always
pieces of a whole
The first spot after the decimal is called the
ten
ths.
This means the whole has been divided into 10 pieces.
H
undred
ths
have been divided into 100 pieces
T
housand
ths
have been divided into 1000 piecesSlide5
Whole
Tenths
Hundredths
ThousandthsSlide6
Extend the pattern
50 000 = 5 ten thousands
5 000 = 5 thousands
500 = 5 ____
50 = 5 ____
5 = 5 _____Slide7
Extend the Pattern
0.5 = 5 ______
0.05 = 5 ______
0.005 = 5 _______ Slide8
Ways to Think of Decimals
You could think of a decimal number as a whole number plus tenths, hundredths,
etc
:
Example 1: What is 2.3 ?
On the left side is "2", that is the whole number part.
The 3 is in the "tenths" position, meaning "3 tenths", or 3/10
So, 2.3 is "2 and 3 tenths"Slide9
Practice – What’s your partner’s number?
The goal of this game is to create a small number (either to the tenths, hundredths, or thousandths) that your partner will try to figure out. They are allowed to ask you
15
yes or no questions.
Step
One:
Decide if your number will go to one, two or three blanks after the decimal point.
Step
Two: Roll the dice to fill in each blank space.
Step Three: Write the number underneath with commas in the right
spot. Make sure to keep the number hidden from your partner!
Step
Four: Tell your partner you are ready and then answer all of their questions truthfully
Step Five: When your partner guesses the number correctly they need to say it out loud, write it as a number, write it as a fraction and write it in word form. Now switch places!Slide10Slide11Slide12
Small Number Challenge
Create an
EduCreations
video on an
iPad
that demonstrates your understanding of small numbers down to the
thousand
ths
place.Slide13
How?
Instructions:
Choose a number that has three place value spots before a decimal point and three place value points after the decimal
For example
:
789. 123
You must
represent
this number in several ways in your video
Speaking the number out loud
Writing the number in word form
Writing the number in number form
Drawing or creating an image that shows your number
Show your number using base ten blocksExplain what you are doing the entire timeSlide14
First, let's have an example:
Here is the number
"forty-five and six-tenths"
written as a decimal number:
The decimal point goes between units and tenths.Slide15
45.6
has 4 tens, 5 units and 6 tenths, like this:Slide16
As we move left, each position is 10 times bigger!
Example:
Hundreds
are 10 times bigger than
Tens Slide17
As we move right, each position is 10 times
smaller
.
From
Hundreds
, to
Tens
, to
Units
But what if we continue past Units?
What is
10 times smaller
than Units?
1
/10 ths (Tenths) are! Slide18
But we must first write a
decimal point
,
so we know exactly where the Units position is
three hundred twenty seven
and four tenthsSlide19Slide20
17.591
On the left of the decimal point is a
whole number (17 for example)
As we move further left,
every place gets
10 times bigger
.
The first digit on the right means
tenths
(1/10).
As we move further right,
every place gets
10 times smaller
(one tenth as big).