october 6, 2014...october 6, 2014 s-sit and organize materials for the lesson…get your journal,...
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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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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.
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
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
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.
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.
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
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.
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.
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.
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 .
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
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.
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.
√
√
√
√
√
√ √ √
√
√ √
√ √
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.
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.
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.
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.
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