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October 6, 2014
S-Sit and organize materials for the lesson… Get your journal,
Springboard book and a sharpened pencil.
E-Examine and follow teacher’s directions… On your next
blank page, write today’s date at the top. Title this page ~
Lesson 4-1 Rational Numbers.
T-Take the challenge! Write the CQ in jour journal below
the title: Challenge Question: What is the difference
between whole numbers, integers and rational numbers?
Can a number be more than one of these?
Take a minute to think about the CQ and write your answer
in your journal.
SET-UP (Activate Prior Knowledge & Connect to Challenge Question)
Noise level 0
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Presentation
Our goal:
Given a rational number, determine whether the number is a whole number, an integer, or a rational number
that is not an integer.
Describe relationships between sets of rational numbers.
Noise level 0
Score Description
4 Exemplary –
(100 %)
I understand it so well, I can explain it
3 Proficient –
(85 %)
I get it
2 Emerging –
(70%)
I’m starting to get it, but still need help
1 Beginning
(55 %)
I don’t get it at all
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Presentation
Our goal:
Given a rational number, determine whether the number is a whole number, an integer, or a rational number
that is not an integer.
Describe relationships between sets of rational numbers.
Noise level 0
-7 – (-5)
Keep Change Add the Opp.
-7 + 5 = C
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Presentation
Our goal:
Given a rational number, determine whether the number is a whole number, an integer, or a rational number
that is not an integer.
Describe relationships between sets of rational numbers.
Noise level 0
- - -
+ + + +
- - -
+ +
3 Negative and 4
Positive
Remove 2 positive
and combine to
make zero pairs
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Presentation
Our goal:
Given a rational number, determine whether the number is a whole number, an integer, or a rational number
that is not an integer.
Describe relationships between sets of rational numbers.
Noise level 0
Start at 0
1 hour the temp is at -5
2 hours the temp is at -10
3 hours the temp is at -15
4 hours the temp is at -20
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Presentation
Our goal:
Given a rational number, determine whether the number is a whole number, an integer, or a rational number
that is not an integer.
Describe relationships between sets of rational numbers.
Noise level 0
l(-7) x 5l
l(-35)l
35
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Presentation
Our goal:
Given a rational number, determine whether the number is a whole number, an integer, or a rational number
that is not an integer.
Describe relationships between sets of rational numbers.
Noise level 0
First +second + third = total
20 + (-5) + 12 = total
15 + 12 = total
27 = total
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Presentation
Our goal:
Given a rational number, determine whether the number is a whole number, an integer, or a rational number
that is not an integer.
Describe relationships between sets of rational numbers.
Noise level 0
Answ
er
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Presentation
Our goal:
Given a rational number, determine whether the number is a whole number, an integer, or a rational number
that is not an integer.
Describe relationships between sets of rational numbers.
Noise level 0
225 – ( 6.8 x 3) = amount left
225 – ( 20.4) = amount left
225 – ( 6.8 x 3) = amount left
225.00
– 20.40
204.60 pounds
Multiply 6.8 x 3
Subtract 20.4
from 225
Line up the
decimals and add
zero if needed
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Presentation
Our goal:
Given a rational number, determine whether the number is a whole number, an integer, or a rational number
that is not an integer.
Describe relationships between sets of rational numbers.
Noise level 0
6+22= 28
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Presentation
Our goal:
Given a rational number, determine whether the number is a whole number, an integer, or a rational number
that is not an integer.
Describe relationships between sets of rational numbers.
Noise level 0
6 – 7 = temp
6 + (-7)= temp
Keep change add opp= temp
-1 = temp
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Presentation
Our goal:
Given a rational number, determine whether the number is a whole number, an integer, or a rational number
that is not an integer.
Describe relationships between sets of rational numbers.
Noise level 0
20 is the answer
20
20
20
30
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Presentation
Our goal:
Given a rational number, determine whether the number is a whole number, an integer, or a rational number
that is not an integer.
Describe relationships between sets of rational numbers.
Noise level 0
Keep Change Add opp = difference
108 – (-52) = difference
High – low = difference
108 + 52 = difference
160 = difference
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Presentation
Our goal:
Given a rational number, determine whether the number is a whole number, an integer, or a rational number
that is not an integer.
Describe relationships between sets of rational numbers.
Noise level 0
Zero
Pairs
-2 is
your
answer
=2
=2 = -2
=6
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Presentation
Our goal:
Given a rational number, determine whether the number is a whole number, an integer, or a rational number
that is not an integer.
Describe relationships between sets of rational numbers.
Noise level 0
-25 50 -15 -5 25 -45
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Presentation
Our goal:
Given a rational number, determine whether the number is a whole number, an integer, or a rational number
that is not an integer.
Describe relationships between sets of rational numbers.
Noise level 0
+7
-10
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Presentation
Our goal:
Given a rational number, determine whether the number is a whole number, an integer, or a rational number
that is not an integer.
Describe relationships between sets of rational numbers.
Noise level 0
Warmest to coldest
Largest to smallest
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Presentation
Our goal:
Given a rational number, determine
whether the number is a whole number,
an integer, or a rational number that is
not an integer.
Describe relationships between sets of
rational numbers.
Noise level 0
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Presentation Noise level 0
Our goal:
Given a rational number, determine whether the number is a whole number, an integer, or a rational number that is not an integer.
Describe relationships between sets of rational numbers.
![Page 20: October 6, 2014...October 6, 2014 S-Sit and organize materials for the lesson…Get your journal, Springboard book and a sharpened pencil. E-Examine and follow teacher’s directions…](https://reader033.vdocuments.site/reader033/viewer/2022050605/5fac6c707524295540465624/html5/thumbnails/20.jpg)
Presentation Noise level 0
Our goal:
Given a rational number, determine whether the number is a whole number, an integer, or a rational number that is not an integer.
Describe relationships between sets of rational numbers.
https://www.khanacademy.org/math/pre-
algebra/order-of-operations/rational-irrational-
numbers/v/introduction-to-rational-and-irrational-
numbers
https://www.youtube.com/watch?v=m94WTZP14SA
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An irrational number is any real number
that cannot be expressed as a ratio of
integers.
Presentation Noise level 0
Would
Be a rational or
irrational
number?
Our goal:
Given a rational number, determine whether the number is a whole number, an integer, or a rational number that is not an integer.
Describe relationships between sets of rational numbers.
NO! The square
root of 16 = 4
and 4 is a whole
number
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Learning Together
Our goal: I can:
1. Determine whether the number is a whole
number, an integer, or a rational number that is
not an integer
2. Describe relationships between sets of rational
numbers
3. Decide whether a number is rational or
irrational
Noise level 0
Our goal:
Given a rational number, determine whether the number is a whole number, an integer, or a rational number that is not an integer.
Describe relationships between sets of rational numbers.
![Page 23: October 6, 2014...October 6, 2014 S-Sit and organize materials for the lesson…Get your journal, Springboard book and a sharpened pencil. E-Examine and follow teacher’s directions…](https://reader033.vdocuments.site/reader033/viewer/2022050605/5fac6c707524295540465624/html5/thumbnails/23.jpg)
Learning Together Group demonstration of using the information taught
through presentation
Noise level 2
How long do we have to complete the
activity: 25 minutes
What do we do? With a partner,
complete Lesson 4-1 on pgs. 34-35
(#s 1 – 6). We will discuss the correct
answers in 25 minutes.
Our goal:
Given a rational number, determine whether the number is a whole number, an integer, or a rational number that is not an integer.
Describe relationships between sets of rational numbers.
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Learning Together Group demonstration of using the information taught
through presentation
Noise level 2
Our goal:
Given a rational number, determine whether the number is a whole number, an integer, or a rational number that is not an integer.
Describe relationships between sets of rational numbers.
27
1
75
100 =
𝟑
𝟒
−9
1
14
3
−43
100 −1
8
10 = −
𝟏𝟖
𝟏𝟎
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Learning Together Group demonstration of using the information taught
through presentation
Noise level 2
Our goal:
Given a rational number, determine whether the number is a whole number, an integer, or a rational number that is not an integer.
Describe relationships between sets of rational numbers.
False, all whole numbers are integers, but not all integers are whole
numbers.
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Learning Together Group demonstration of using the information taught
through presentation
Noise level 2
Our goal:
Given a rational number, determine whether the number is a whole number, an integer, or a rational number that is not an integer.
Describe relationships between sets of rational numbers.
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Learning Together Group demonstration of using the information taught
through presentation
Noise level 2
Our goal:
Given a rational number, determine whether the number is a whole number, an integer, or a rational number that is not an integer.
Describe relationships between sets of rational numbers.
False, some rational numbers are also whole numbers. For example, 3
is a rational number that is also a whole number.
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Learning Together Group demonstration of using the information taught
through presentation
Noise level 2
Our goal:
Given a rational number, determine whether the number is a whole number, an integer, or a rational number that is not an integer.
Describe relationships between sets of rational numbers.
False. All integers are rational numbers, but some rational numbers are not
integers. For example: 0.75 is a rational number because it can be expressed
as the ratio 3
4 .
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Learning Together Group demonstration of using the information taught
through presentation
Noise level 2
Our goal:
Given a rational number, determine whether the number is a whole number, an integer, or a rational number that is not an integer.
Describe relationships between sets of rational numbers.
False. Whole numbers are a subset of the rational numbers
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Learning Together Group demonstration of using the information taught
through presentation
Noise level 2
Our goal:
Given a rational number, determine whether the number is a whole number, an integer, or a rational number that is not an integer.
Describe relationships between sets of rational numbers.
![Page 31: October 6, 2014...October 6, 2014 S-Sit and organize materials for the lesson…Get your journal, Springboard book and a sharpened pencil. E-Examine and follow teacher’s directions…](https://reader033.vdocuments.site/reader033/viewer/2022050605/5fac6c707524295540465624/html5/thumbnails/31.jpg)
Learning Together Group demonstration of using the information taught
through presentation
Noise level 2
Our goal:
Given a rational number, determine whether the number is a whole number, an integer, or a rational number that is not an integer.
Describe relationships between sets of rational numbers.
√
√
√
√
√
√ √ √
√
√ √
√ √
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Learning Together Group demonstration of using the information taught
through presentation
Noise level 2
Our goal:
Given a rational number, determine whether the number is a whole number, an integer, or a rational number that is not an integer.
Describe relationships between sets of rational numbers.
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Just For Me
How long do we have to complete the activity: 20 minutes
What do I do? You will complete:
Show that each number is a rational number by expressing it as a ratio of two integers.
a. 72
b. 0.50
c. 33
4
d. -19
e. -0.34
f. -8.1
Independent demonstration of comprehension of
the material or concepts presented
Noise level 0
Our goal:
Given a rational number, determine whether the number is a whole number, an integer, or a rational number that is not an integer.
Describe relationships between sets of rational numbers.
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Assessment
How long do we have to complete the activity:
20 minutes
What do I do? Activity 4 Practice (pg. 45): You
will work Lesson 4-1 problems # 1-5. Please
tear out this page, put your name on it, and
turn it into your class bin when finished.
**If you still have time left in class, read quietly!!**
Noise level 0
Our goal:
Given a rational number, determine whether the number is a whole number, an integer, or a rational number that is not an integer.
Describe relationships between sets of rational numbers.
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Wrap-up (Closure where students ensure they are prepared for
the next day and rate their performance for that class)
W- Write homework assignment in planner (You will have a
quiz at the beginning of class on Wednesday over the
concepts from Lesson 4-1… STUDY your notes from
today!)
R- Return materials and organize supplies
A-Assess how well you worked in a group or individually
Did I/we maintain operating standards?
Did I/we work toward learning goals?
Did I/we complete tasks?
P- Praise one another for high quality work:
Tickets for a “P” performance overall
Noise level 0
Our goal:
Given a rational number, determine whether the number is a whole number, an integer, or a rational number that is not an integer.
Describe relationships between sets of rational numbers.