Download 1.1 Estimation/1.2 Exponents

Estimating With Whole Numbers
1-1
Pages 6-9
Warm Up Problems
1. 3,214 + 5,490 8,704
2. 9,225 + 8,652 17,877
3. 3,210+ 1,200
4,410
4. 8,774 + 2,156 10,930
Definitions
Estimate: Is close to the exact number but not
exact.
Underestimate: is a number that is LESS THAN
the exact number
Overestimate: is a number that is MORE THAN
the exact number
Problem Starter
Mrs. Crawford is trying to plan a party for all entire 6th grade at Green
Acers. The 1st. Class has 22 students, the 2nd. class has 25 students ,
and the third class has 23 students. Estimate how many cups she will
need to buy for the party.
Would it be better to overestimate, or underestimate in
this situation? Why?
When estimating, we sometimes round to a PLACE VALUE. Estimate
the Sum, or difference by rounding to the place value indicated.
4, 6 8 9
+ 2, 4 6 9
Let’s list all the place values to the left of the decimal:
10,000 1000 100 10 1
s
’s
When estimating, we sometimes round to a PLACE VALUE. Estimate
the Sum, or difference by rounding to the place value indicated.
5 0, 4 9 8
- 3 5, 7 9 8
When estimating, we sometimes round to a PLACE VALUE. Estimate
the Sum, or difference by rounding to the place value indicated.
#6.
Thousand
+
6, 5 7 0
3, 6 0 9
When estimating, we sometimes round to a PLACE VALUE. Estimate
the Sum, or difference by rounding to the place value indicated.
#7.
4 9, 8 2 1
- 1 1, 5 6 7
Ten Thousand
Solve Problems #8 and #9 with your partner, then
share your answers.
______________
# 10. The recreation center has provided
softballs every year to the city league. Use
the table to estimate the number of softballs
the league will use in 5 years?
What is this problem about?
What operation are we using?
What numbers are we using?
# 11. Solve The recreation center has a girls golf
team with 8 members. How many golf balls will
each girl on the team get?
What is this problem about?
What operation are we using?
What numbers are we using?
# 12. Solve The recreation center loses 4 table
tennis balls every year. Estimate how many years
will it take until the center has no balls left?
What is this problem about?
What operation are we using?
What numbers are we using?
Homework
Page 8
Due: Wed. October 12th
13-18
Exponents
1-2
Pages 10-13
Warm Up Problems
1. 3 x 3 x 3 =
27
2. 4 x 4 x 4 =
64
3. 2 x 2 x 2 x 2 = 16
4. 5 x 5 x 5 x 5 = 625
Definitions
Base: is the larger number we raise to a
“multiple power”.
Exponent: tells us how many times we multiply
the “base” number as a factor.
Base Number
Exponent
Problem Starter
If Green Acers were to have a fire, a phone tree would be issued to
contact each family. The secretary will call 3 families, then each of
those families would call 3 other families, and so on. How many
families would be notified after 6 rounds of calls?
Are we gaining more, or less calls?
Is there a recurring pattern?
If Green Acers were to have a fire, a phone tree would be issued to
contact each family. The secretary will call 3 families, then each of
those families would call 3 other families, and so on. How many
families would be notified after 6 rounds of calls?
We call
This
is written
this 3 to
inthe
EXPONENTAIL
6th power form
How many times we repeat
Number of things
(3 x 3 x 3 x 3 x 3 x 3)
#1
Write in EXPONENTAIL form
8x8x8
#2
Write in EXPONENTAIL form
7x7
Write in exponential form, and solve.
#3
6x6x6x6x6
#4
4x4x4x4
#7
Find each Value
4
2
#8
Find each Value
3
3
# 12. One person will text 4 people and each of those
people will text 4 more people, and so on. How many
people will be texted the message after 5 rounds?
What is this problem about?
Will we have/want more or less after?
What numbers are we using?
Number of things
How many times
is it repeating?
Homework
Page 12
 13-18
due Wed. October 12th