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Unit 2: Assignment
Name: _______________________
Class: _______________________
Assignment Booklet
The following booklet will provide each of you the opportunity to achieve
the appropriate outcomes in this unit.
Work through each page and provide answers on the each page where
space is provided.
Use pencil
Each booklet will remain in the Math classroom
Make sure your name is on the front along with your homeroom class
Contents Covered in Booklet
Patterns
Exponents
Square Roots
Scientific Notation
Create your own questions
Mental Math
Outcomes the booklet addresses:
SCO A1
SCO A2
SCO A3
SCO A4
SCO A5
SCO A6
model and link various representations of square root of a number
recognize perfect squares between 1 and 144 and apply patterns
related to them
distinguish between an exact square root of a number and its decimal
approximation
find the square root of any number, using an appropriate method
demonstrate and explain the meaning of negative exponents for base
ten
represent any number written in scientific notation in standard form,
and vice versa
Patterns
1. What would come next in this pattern? 5, 10, 15, 20, 25, 30 …
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2. If I make the pattern 2, 4, 6, 8, 10, what will come next? And then what?
What is the rule? ____________________________________________
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3. My pattern is 0, 4, 8, 12, 16. What are the next three numbers in my
pattern? How do you know? ___________________________________
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4. My pattern is 1, 4, 7, 10. What are the next five numbers in my pattern?
What is the rule for my pattern? How would you make a table to show that?
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5. What would the pattern be if you started at five and added two each time?
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6. Here is how the Fibonacci pattern begins: 1, 1, 2, 3, 5, 8. What comes next?
Then what? How do you know? Can you state the rule in words?
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The above cartoon (Amend 2005) shows an unconventional sports application of the
Fibonacci numbers (left two panels). (The right panel instead applies the Perrin sequence).
Perfect Squares
List the first 12 perfect squares in the table provided. Use a pattern to fill in the table up to 20.
Use computations in
n
n2
1
1
Pattern
n2
1
the
to write
n2
in a different way
1x1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
Explain the pattern you found between the perfect squares. _____________________________
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Use a drawing (grid) to calculate the approximate value of 6.22
Use the number line to solve:
45
124
149
Scientific Notation
Scientists have a need to express very large (or very small numbers) in some convenient way.
For example, astronomers measure the distance to stars in light years, a unit of distance which
suitably expresses the huge distances which are involved. A light year is the distance which
light travels in one year. Let us see how many meters there are in one light year. Light travels at
a speed of 300000000 m/s (three hundred million meters per second).
Definitions:
Coefficient ___________________________________________________________________
_____________________________________________________________________________
Base 10 Power ________________________________________________________________
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Scientific Notation ______________________________________________________________
_____________________________________________________________________________
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Express the following in scientific notation:
1.
6,000,000,000,000,000,000,000 _____________________________________________
2.
547,000
_____________________________________________
3.
3,500,000,000
_____________________________________________
4.
0.00000000000463
_____________________________________________
5.
0.00090674
_____________________________________________
6.
790,640,000
_____________________________________________
7.
0.000047906
8.
198,000,000,000,000,000,000,000,000,000,000 ________________________________
9.
0.000000049744
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10. 0.0014650
_____________________________________________
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Express the following in standard form:
1.
2.
3.
4.
5.
6.
7.
3.4067 x 107
_____________________________________________
19
_____________________________________________
9
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-6
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-5
_____________________________________________
5.0400 x 10
4.0689 x 10
1.0015 x 10
8.0000 x 10
6.4523 x 10
2
8.213 x 10
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-4
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1a) __________________
b) __________________
c) __________________
d) __________________
2) Draw a line from the
letter side to the roman
numeral side.
3a) __________________
b) __________________
c) __________________
d) __________________
e) __________________
f) __________________
g) __________________
h) __________________
4a) _________________
b) __________________
c) __________________
d) __________________
e) __________________
f) __________________
On this page create three questions that have to do with patterns, exponents, square
roots and/or scientific notation and then answer them. Consideration will be given to
questions that are well thought out, and those questions may be added to an upcoming
assessment. Be creative and come up with examples from area that you are passionate
about. (Example: NBA question I made up last Friday).
1.
2.
3.
4.
5.
6.
Journal Space
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Mental Math Sheet
Date:
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Mental Math Sheet
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Mental Math Sheet
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Grade 8 Math
JMJH