Download 11-18 PPT

5 Minute Check
Complete in your notebook.
1. 7 · 7 · 7 =
2. 2 · 2 · 2 =
3. 9 · 9 · 9 · 9 =
4.
5.
4
5
1
10
3
1
2
5
-26
5 Minute Check
Complete in your notebook.
1.
7·7·7=
5 Minute Check
Complete in your notebook.
1.
7 · 7 · 7 = 343
5 Minute Check
Complete in your notebook.
2. 2 · 2 · 2 =
5 Minute Check
Complete in your notebook.
2.
2·2·2=8
5 Minute Check
Complete in your notebook.
3.
9·9·9·9=
5 Minute Check
Complete in your notebook.
3.
9 · 9 · 9 · 9 = 6561
5 Minute Check
Complete in your notebook.
4.
4
5
-
1
2
5 Minute Check
Complete in your notebook.
4.
4
5
-
1
2
4· 2
5· 2
-
8
10
5
10
-
1· 5
2· 5
=
3
10
5 Minute Check
Complete in your notebook.
5.
1
10
3
5
-26
5 Minute Check
Complete in your notebook.
5.
1
10
3
5
-26
31
10
17
6
-
=
31 · 3
10 · 3
17 · 5
6· 5
-
93
30 -
85
30
=
8
30
=
4
15
Monday, Nov 18
Lesson 6.1
Powers and Exponents
Powers and Exponents
Objective: To understand how to represent
numbers using exponents.
Powers and Exponents
At the end of this lesson you should be able
to answer the following question.
How is using exponents helpful?
Powers and Exponents
Fitness Fortress recycles plastic water
bottles. On Saturday, 8 bottles were placed
in the bins. On Sunday, 8 bottles were
recycled.
Powers and Exponents
You can use bar diagrams to represent the
number of bottles recycled. Use a second
bar to represent the number of bottles
recycled on Sunday.
Powers and Exponents
You can use bar diagrams to represent the
number of bottles recycled. Use a second
bar to represent the number of bottles
recycled on Sunday.
Saturday
8 bottles
Sunday
8 bottles
Powers and Exponents
We can also write this as an addition
expression. How many terms are in the
expression?
8+8=
Saturday
8 bottles
Sunday
8 bottles
Powers and Exponents
We can also write this as an addition
expression. How many terms are in the
expression? 2
8+8=
Saturday
8 bottles
Sunday
8 bottles
Powers and Exponents
We can also write this as an addition
expression. Would the answer represent a
sum, product or quotient?
8+8=
Saturday
8 bottles
Sunday
8 bottles
Powers and Exponents
We can also write this as an addition
expression. Would the answer represent a
sum, product or quotient? Sum
8+8=
Saturday
8 bottles
Sunday
8 bottles
Powers and Exponents
We can also write this as an multiplication
expression. Would the answer represent a
sum, product or quotient?
2x8=
Saturday
8 bottles
Sunday
8 bottles
Powers and Exponents
We can also write this as an multiplication
expression. Would the answer represent a
sum, product or quotient? Product
2x8=
Saturday
8 bottles
Sunday
8 bottles
Powers and Exponents
Some expressions can be written as the
product of a sum.
For example, 2 x (1 + 4).
The expression 2 x (1 + 4) can be thought of
as having two factors, 2 and (1 + 4).
Powers and Exponents
The expression 2 x (1 + 4) can be thought of
as having two factors, 2 and (1 + 4).
Which factor is a sum?
Powers and Exponents
The expression 2 x (1 + 4) can be thought of
as having two factors, 2 and (1 + 4).
Which factor is a sum? 1 + 4
Powers and Exponents
Using a bar diagram 2 x (1 + 4) can be written
as follows.
1
1
4
4
Powers and Exponents
Complete questions 7- 21 on pages 431-432
with a partner. You have 15 minutes.
Reminders-factors are something you multiply to get a
product.
Powers and Exponents
Powers and Exponents
Powers and Exponents
Powers and Exponents
Powers and Exponents
Powers and Exponents
Powers and Exponents
Powers and Exponents
Powers and Exponents
Powers and Exponents
Powers and Exponents
Powers and Exponents
Powers and Exponents
Powers and Exponents
Powers and Exponents
Powers and Exponents
Powers and Exponents
Powers and Exponents
Powers and Exponents
Powers and Exponents
Powers and Exponents
Powers and Exponents
Numbers expressed using exponents are
called powers.
e.g. 100 is a power of 10 because it can be
written as 10².
Powers and Exponents
Numbers expressed using exponents are
called powers.
A perfect square is a number that is made by
squaring a whole number.
e.g. 100 is a perfect square because 10²=100
Powers and Exponents
To write powers as products, determine the
base and the exponent.
e.g. The base of 10² is 10 and the exponent
is 2.
10² is read ten squared.
10³ is read ten cubed.
Powers and Exponents
What is the difference between an expression
and an equation?
Powers and Exponents
What is the difference between an expression
and an equation?
An equation has an equal sign.
An expression has no equal sign, but has an
operation.
Powers and Exponents
A number that is “squared” represents a two
dimensional shape.
Powers and Exponents
A number that is “cubed” represents a three
dimensional shape.
Powers and Exponents
Write 6 · 6 · 6 using an exponent.
Powers and Exponents
Write 6 · 6 · 6 using an exponent.
6 · 6 · 6 = 6³
Powers and Exponents
Write 4 · 4 · 4 · 4 · 4 using an exponent.
Do this on your own.
Powers and Exponents
Write 4 · 4 · 4 · 4 · 4 using an exponent.
4 · 4 · 4 · 4 · 4 = 4⁵
Powers and Exponents
Write 7 · 7 · 7 · 7 using an exponent.
Powers and Exponents
Write 7 · 7 · 7 · 7 using an exponent.
7 · 7 · 7 · 7 = 7⁴
Powers and Exponents
Write 5² as an expression with the same
factors.
Powers and Exponents
Write 5² as an expression with the same
factors.
5·5
What is the product?
Powers and Exponents
Write 5² as an expression with the same
factors.
5 · 5 = 25
Powers and Exponents
Write 2⁴ as an expression with the same
factors and then find the product.
Do this on your own.
Powers and Exponents
Write 2⁴ as an expression with the same
factors and then find the product.
2·2·2·2
Powers and Exponents
Write 2⁴ as an expression with the same
factors and then find the product.
2 · 2 · 2 · 2 = 16
Powers and Exponents
( )³
1
2
Write
as an expression with the same
factors and then find the product.
Do this on your own.
Powers and Exponents
( )³
1
2
Write
as an expression with the same
factors and then find the product.
1
2
·
1
2
·
1
2
Powers and Exponents
( )³
1
2
Write
as an expression with the same
factors and then find the product.
1
2
·
1
2
·
1
2
=
1
8
Powers and Exponents
Write 1.5² as an expression with the same
factors and then find the product.
Do this on your own.
Powers and Exponents
Write 1.5² as an expression with the same
factors and then find the product.
1.5 · 1.5
Powers and Exponents
Write 1.5² as an expression with the same
factors and then find the product.
1.5 · 1.5 = 2.25
2
1.5
x 1.5
75
150
2.2 5
Powers and Exponents
Write 10⁵ as an expression with the same
factors and then find the product.
Do this on your own.
Powers and Exponents
Write 10⁵ as an expression with the same
factors and then find the product.
10 · 10 · 10 · 10 · 10
Powers and Exponents
Write 10⁵ as an expression with the same
factors and then find the product.
10 · 10 · 10 · 10 · 10 = 100,000
Powers and Exponents
How is using exponents helpful?
Powers and Exponents
Agenda Notes
Homework –
Homework Practice 6-1
Due Tuesday, Nov 19
Show all work!
Mid-Chapter 6 Quiz–Friday, Nov 22