Download Agenda September 4

Agenda September 5
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Warm UP
Go over homework
Exponent Discovery
Negative Exponents
Fine Tune
– Go Over definitions (must be checked off)
– Test corrections
– Homework corrections
Warm Up
Evaluate:
1) 93
2) 26
3) 54
Rewrite in exponent form:
4) 9x9x9x9
5) 7x7x7x7x7 6) 11x11x11
Go Over Homework
Worktext p.101
1) 87
2) (-5)4
5) -64
6) 36
9) 81
10) 144
13) 263 14) 17
17) -92 18) 196
21) 96
22) 64
3) 96
4) 10,000
7) 81
8) 196
11) 81
12) 12
15) 42
16) 43
19) -435 20) -27
23) 8n4 24) 1,728cm3
Exponents Discovery
Repeatedly fold one piece of paper
in half. Fill in the table below to
record the number of folds and
the resulting number of layers of
paper.
Number
of Folds
0
1
Assuming that you could continue
the pattern, how many layers of
paper would there be for…
10 folds? ______
100 folds? _______
n folds? ______
2
3
4
5
Layers of
paper
1
Exponents Discovery
Explain the process that is used to generate
the following patterns.
a) Cup, pint, quart, half gallon, gallon, and
so on. (hint:use ounces or gallon man)
b) Penny, dime, dollar, ten dollars, one
hundred dollars, and so on.
Exponents Discovery
• Look for a pattern with integer exponents
• Worktext page 103
• Integer exponent puzzle
Negative Exponents
Any number except 0 with a negative
exponent equals its reciprocal with the
opposite exponent.
EX 1: 5-3 = (1/5)3 = (1/5)(1/5)(1/5) = 1/125
EX 2: b-n= (1/b)n; where b does not = 0
Definitions
Square Root - of a number x is a number r such that r2 = x,
or in words, a number r whose square (the result of
multiplying the number by itself) is x.
Example:
Radicand – the number or expression under the radical
sign
Example:
Radical – the symbol that tells you to take the nth root of a
number.
Example:
Definitions
Perfect Square – A square of a whole number (a whole
number times itself)
Example:
Irrational Numbers: A number that cannot be expressed as
a fraction or a decimal that repeats or terminates.
Example:
Rational Numbers: Numbers that CAN be expressed as a
fraction or a decimal that repeats or terminates.
Example:
Definitions
Natural Numbers - Counting Numbers
Example: 1, 2, 3, 4, 5, 6, …
Whole Numbers – zero + the counting numbers
Example: 0, 1, 2, 3, 4, 5, …
Integers – zero plus the positve and negative
numbers that are not decimals or fractions
Example: … -4, --3, -2, -1, 0, 1, 2, 3, 4, …
Definitions
Exponent – The number that tells how many times the base
is multiplied by itself (the raised little number)
Example:
Additive Inverses- or opposite, of a number n is the
number that, when added to n, yields zero
Example: 5 + -5 = 0; 5 and -5 are additive inverses
Exponent Notation – a number written with exponents
Example
Definitions
Scientific Notation –A number in scientific notation
is written as the product of a number (integer or
decimal) and a power of 10. The number has
one digit to the left of the decimal point. The
power of ten indicates how many places the
decimal point was moved.
Example:
Standard Notation – a number written without
exponents
Example:
Definitions
Significant Digits - Number of digits in a figure that
express the precision of a measurement instead
of its magnitude.
Example: the figure 239.80 has four significant
digits, 925,000 has three, and 0.030677 has six.
Right Triangle – A triangle with a right angle (90
degree angle)
Example:
Definitions
Legs – the 2 sides of a triangle that form a
right angle
Example:
Hypotenuse – the side opposite the right
angle, also the longest side of a right
triangle.
Example:
Homework
• Homework Check 3 on Monday – you will
not be allowed to go to your locker.
Please organize your notebook over the
weekend.
• Unit 1 Test Corrections are due Monday,
don’t forget they MUST be signed by your
parent / guardian!