8 EE 3 L1 scientific notation basics.notebook
September 26, 2015
LT: Today I will learn how to rename numbers using scientific notation and standard form.
Do Now:
1 5 + =
2 8
EQ: How do I rename a number using scientific notation?
4.6 x .51 = n
7.2 x 10 =
7.22 x 100 =
7.222 x 1000 =
7.2 x 101 = C
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voice: L1 task related
C3B4UCME
Do Now
by permisson only
persevere, engaged
task completed
7.22 x 102 =
7.222 x 103 =
Sharing protocol: TPS with elbow partner: What
patterns do you see that you can use to create a
quicker way to solve these?
Sep 13­12:02 PM
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8 EE 3 L1 scientific notation basics.notebook
1 5 + =
2 8
September 26, 2015
4.6 x .51 = n
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voice: L0 except speaker
1 finger, genuine questions
discussion
none
actively listening & taking notes; volunteering ideas
S gain understanding
Sep 20­12:07 PM
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8 EE 3 L1 scientific notation basics.notebook
September 26, 2015
7.2 x 10 =
7.22 x 100 =
7.222 x 1000 =
7.2 x 101 = 7.22 x 102 =
7.222 x 103 =
C
H
A
M
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voice: L0 except speaker
1 finger, genuine questions
discussion
none
actively listening & taking notes; volunteering ideas
S gain understanding
Sharing protocol: TPS with elbow partner: What
patterns do you see that you can use to create a
quicker way to solve these?
Sep 13­12:02 PM
3
8 EE 3 L1 scientific notation basics.notebook
September 26, 2015
Scientific Notation basics
? finite decimal ? 1,234,000,000, 000
0.000038
Your typical number written as a finite decimal.
whole numbers are finite decimals b/c they can be written as a decimal, i.e: 4 = 4.0.
? Scientific notation ?
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voice: L0 except speaker
1 finger, genuine questions
Teacher directed
none (trade pencil w/me)
actively taking notes
gain understanding
a finite decimal times a power of 10 that is greater than 1 and less than 9.
1 ≤ d ≤ 9
Sep 20­12:07 PM
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8 EE 3 L1 scientific notation basics.notebook
? Scientific notation ?
September 26, 2015
a finite decimal times a power of 10 that is greater than 1 and less than 9.
1 ≤ d ≤ 9
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example:
non‐example
4.25 x 106
44.86 x 102
5.4 x 10‐4
0.035 x 10‐3
voice: L0 except speaker
1 finger, genuine questions
Teacher directed
none (trade pencil w/me)
actively taking notes
gain understanding
Sep 20­12:07 PM
5
8 EE 3 L1 scientific notation basics.notebook
September 26, 2015
1) place ^ to make # from 1 through 9
? rename large # to scientific notation ?
5,800,000.
^
2) 6 places from the decimal to the ^
3) write finite decimal
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voice: L0 except speaker
1 finger, genuine questions
Teacher directed
none (trade pencil w/me)
actively taking notes
gain understanding
5.8
4) power is 106 ; ^ moved 6 places; large # = 10p
= 5.8 x 106
Sep 20­12:07 PM
6
8 EE 3 L1 scientific notation basics.notebook
? rename from SN to standard form ?
September 26, 2015
one digit after decimal
4.7 x 106
its a power of 6 so 1 digit plus 5 zeros is a movement of 6 creating a large number.
4,700,000.
^
three digits after decimal
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voice: L0 except speaker
1 finger, genuine questions
Teacher directed
none (trade pencil w/me)
actively taking notes
gain understanding
9.274 x 109
its a power of 9 so 3 digits plus 6 zeros is a movement of 9 creating a large number.
9,274,000,000.
^
Sep 20­12:07 PM
7
8 EE 3 L1 scientific notation basics.notebook
September 26, 2015
Practice:
650,000
48,420,000,000
7,000,000
1.2 x 104
8 x 109
4.59 x 108
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pg. 33‐34 exercise 7
voice: L1 task related
C3B4UCME
A/B partner
by permisson only
persevere, engaged
task completed
Sep 20­12:07 PM
8
8 EE 3 L1 scientific notation basics.notebook
September 26, 2015
Practice:
650,000
6.5 x 105
48,420,000,000
4.842 x 1010
7,000,000
7 x 106
1.2 x 104
8 x 109
4.59 x 108
12,000
8,000,000,000
459,000,000
pg. 33‐34 exercise 7
1.02 x 1012
1 x 1010
1.01 x 1012
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voice: level 1
1 finger, genuine questions
checking answers
by permission only
c's by correct answers, ? by
incorrect answers
S reflect on level of success
Sep 20­12:07 PM
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8 EE 3 L1 scientific notation basics.notebook
September 26, 2015
? rename small decimal 1) place ^ to make # to scientific notation?
from 1 through 9
0.00000086
^
2) 7 places from the decimal to the ^
3) write finite decimal
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voice: L0 except speaker
1 finger, genuine questions
Teacher directed
none (trade pencil w/me)
actively taking notes
gain understanding
8.6
4) power is 10‐7 ; ^ moved 7 places; small # = 10‐n
= 8.6 x 10‐7
Sep 20­12:07 PM
10
8 EE 3 L1 scientific notation basics.notebook
September 26, 2015
? rename from SN to standard form ?
2.8 x 10‐4
Answers with more than one decimal point are wrong.
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voice: L0 except speaker
1 finger, genuine questions
Teacher directed
none (trade pencil w/me)
actively taking notes
gain understanding
its a negative power of 4 so 1 digit plus 3 zeros (in front) is a movement of 4 creating a small number.
.00028.
^
8.5427 x 10‐5
.000085427
^
its a negative power of 5 so 1 digit plus 4 zeros (in front) is a movement of 5 creating a small number.
Sep 20­12:07 PM
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8 EE 3 L1 scientific notation basics.notebook
September 26, 2015
Practice:
0.0034
0.000578
0.00000006
4.4 x 10‐4
3.98 x 10‐3
8 x 10‐7
pg. 40 exercise 1‐3
Sep 20­12:07 PM
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8 EE 3 L1 scientific notation basics.notebook
September 26, 2015
Practice:
0.0034
3.4 x 10‐3
0.000578
5.78 x 10‐4
0.00000006
6 x 108
4.4 x 10‐4
3.98 x 10‐3
8 x 10‐7
0.00044
0.00398
0.0000008
pg. 40 exercise 1‐3
1.67266 x 10­27
9.10938291 x 10­31
1.67266 x 10­27 : 9.10938291 x 10­31
Sep 20­12:07 PM
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8 EE 3 L1 scientific notation basics.notebook
? The finite decimal is not from 1 through 9?
September 26, 2015
54.3 x 105
54.3 = 5.43 x 101 x 105
= 5.43 x 101+ 5
= 5.43 x 106
0.328 x 10‐7
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voice: L0 except speaker
1 finger, genuine questions
Teacher directed
none (trade pencil w/me)
actively taking notes
gain understanding
0.328 = 3.28 x 10‐1 x 10‐7
= 3.28 x 10(‐1 + ‐7)
= 3.28 x 10‐8
Sep 20­12:07 PM
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8 EE 3 L1 scientific notation basics.notebook
September 26, 2015
Practice
48.62 x 105
.2456 x 10‐3
528 x 103
Sep 20­12:07 PM
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8 EE 3 L1 scientific notation basics.notebook
September 26, 2015
Practice
48.62 x 105
.2456 x 10‐3
528 x 103
4.862 x 101 x 105
2.456 x 10‐1 x 10‐3
5.28 x 102 x 103
= 4.862 x 106
2.456 x 10‐4
5.28 x 105
Sep 20­12:07 PM
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8 EE 3 L1 scientific notation basics.notebook
September 26, 2015
Success Criteria
• In scientific notation my finite decimal is from 1 through 9
• My positive power of 10 represents the number of digits that were after the initial digit.
• My negative power of 10 represents the number of digits that were front of the finite decimal. Sep 20­12:07 PM
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8 EE 3 L1 scientific notation basics.notebook
September 26, 2015
Complete work sheet 8.2 Please honor voice level 1 so I can work with individuals.
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voice: L1 task related
C3B4UCME
A/B partner
by permisson only
persevere, engaged
task completed
Oct 3­8:29 PM
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8 EE 3 L1 scientific notation basics.notebook
Exit ticket
rename:
September 26, 2015
scientific notation standard form
scientific notation
3,840,000
340 x 104
5.6 x 10‐3
Close: small numbers have negative exponents. Large numbers have positive exponents. numbers with a finite decimal greater than 9 or less than 1 must be renamed.
You may now pack up
Sep 20­12:07 PM
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8 EE 3 L1 scientific notation basics.notebook
September 26, 2015
Close: We can multiply and divide very large and small numbers in exponential notation by rearranging the factors, then by using the laws of exponents.
Exit Ticket Most English‐speaking countries use the short‐scale naming system, in which a trillion is expressed as 1,000,000,000,000 .Some other countries use the long‐scale naming system, in which a trillion is expressed as
1, 000,000,000,000,000,000,000. Express each number as a single‐digit integer times a power of ten. How many times greater is the long‐scale naming system than the short‐scale? Sep 20­12:07 PM
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8 EE 3 L1 scientific notation basics.notebook
September 26, 2015
Expressions and Equations 8.EE
Work with radicals and integer exponents.
3. Use numbers expressed in the form of a single digit times an integer power of 10 to estimate very large or very small quantities, and to express how many times as much one is than the other. For example, estimate the population of the United States as 3 × 108 and the population of the world as 7 × 109, and determine that the world population is more than 20 times larger.
4. Perform operations with numbers expressed in scientific notation, including problems where both decimal and scientific notation are used. Use scientific notation and choose units of appropriate size for measurements of very large or very small quantities (e.g., use millimeters per year for seafloor spreading). Interpret scientific notation that has been generated by technology.
LT: Today I will learn how to rename numbers using scientific notation and standard form.
EQ: How do I rename a number using scientific notation?
seating: horseshoe
Aug 26­8:40 PM
21
8 EE 3 L1 scientific notation basics.notebook
September 26, 2015
LT: Today I will learn how to rename numbers using scientific notation and standard form.
seating: EQ: How do I rename a number using scientific notation?
•
•
•
•
•
•
•
•
•
•
horseshoe pairs
5 min: Do Now review fraction compuation, multiply decimals, write numbers as a single digit times a power of 10
2 min: define scientific notation and standard form
4 min: write large numbers in scientific notation and standard form
6 min: practice
4 min: write small numbers in scientific notation and standard form
6 min: practice
6 min: how to rename numbers to scientific notation
6 min: practice
4 min: exit ticket
2 min: close
home
Aug 26­8:40 PM
22