Transcript Lesson 6 PPT

Name:________________________________________________________________________________Date:_____/_____/__________
Fill-in-the-Blanks with the rules for MULTIPLYING/DIVIDING:
1)
Evaluate:
2)
5)
-2(40) =
90
−10
=
3)
6)
-4(-9) =
−40
−8
=
4)
8(-3) =
7)
−49
7
=
Spiral Back:
1) Order the following from least to great (change to
decimals when necessary):
2
0.7
66%
0.6
3
Answer:
2) Convert 2,050,000,000 into scientific notation:___________
3) Convert 0.0000004 into scientific notation:______________
NAME:___________________________________________________________________________________Date:_____/_____/__________
Exit Ticket
MULTIPLICATION/ DIVISION
Model the following problem using a number line:
1. 2(-4) = _____ :
Use the below model to answer the next two questions:
2. ___ x ___ = ___
3.
___ ÷ ___ = ___
Evaluate (give answer) the following :
4.
5.
9(-2) = _____
6.
-5(-8) = _____
7.
−24
−3
Identify the problem that the below is a model for:
8.
___ x ___ = _____
−50
10
Today’s Lesson:
What:
Integer applications
(Word Problems)
Why:
To analyze a variety of real-life integer
applications/ scenarios.
Analyzing a “word problem”:
1. Read entire problem first.
highlight
2. Read AGAIN and _______________
key words.
solve
3. Set up the problem and _________.
Key Words:
addition .
SUM means ________________
subtraction .
DIFFERENCE means ____________________
PRODUCT means ________________________
multiplication .
division
QUOTIENT means _______________________
.
Together:
1) What is the product
of 7 and -5?
2) What is the sum of
–30 and -20?
-35
-50
3) What is the
difference between
-5 and 17?
-22
4) What is the quotient
of -100 and -5?
20
On Your Own:
5) What is the quotient
of 24 and -8?
-3
6) What is the
difference between
5 and -20?
25
7) What is the sum of
-120 and 130?
8) What is the product
of -6 and -7 ?
10
42
Word problems:
TOGETHER:
HINT for next problems: Finding the
difference between a positive and a
negative number involves SUBTRACTING a
negative!!!
1. It was a brisk 10°F on a
wintery night in Alaska.
However, the wind-chill
factor made it feel like it
was -8°F. What is the
difference between these
two temperatures?
10 – (-8) = 18 . . . so, the
difference is 18°.
YOUR TURN:
2. The record high
temperature for January
in Augusta, Maine is
45°F, while the record
low temperature is -15°F.
What is the difference
between the record high
and the record low?
45 – (-15) = 60. . . so,
the difference is 60⁰.
YOUR TURN:
HINT: Read carefully, this one is different . . .
3. The temperature on
Monday was 12°F. By
Tuesday, it decreased 20
degrees. What was the
temperature on
Tuesday?
12 + (-20) = -8⁰F
TOGETHER:
HINT for next problems: Add the total points up–
follow your addition rules (Same signs, add. Different
signs, subtract!)
4. Joe ended round 1 with $45,350.
However, Bob ended round 1
with -$3,500. If their money
were combined, how much
would it total?
45,350 + (-3,500) = $41,850
YOUR TURN:
5.
Jason had 15 points in round 1,
-20 points in round 2, and 30
points in round 3. What was his
total points for all 3 rounds?
15 + (-20) + 30 = 25
TOGETHER:
HINT for next problems: The phrase “How
much more . . .” means SUBTRACTION.
These also involve finding the difference
between a positive and a negative . . .
6. Jade’s bank account balance was
$ - 75.00 on Monday. If she
needs $125 by Christmas, how
much more money does she
need to earn?
125 – (-75) = $200
YOUR TURN:
7. Jake owes his parents $60, and
has nothing in his savings. Josh
has $250 in his savings. How
much more money does Jake
need in order to have as much as
Josh?
250 – (-60) = $310
TOGETHER:
HINT for next problems: Group the negative
movements together. Do the same for the
positives. Then, add them.
8. A Navy submarine was 50 ft.
below sea level. It rose 15 ft.,
sank 90 ft., rose 20 ft., and sank
15 ft. Where is the submarine?
(-50 + -90 + -15) = -155
(15 + 20) = 35
(-155 + 35) = -120 ft. below sea level
YOUR TURN:
9. An airplane was at an
elevation of 4000 ft. above the
ground. It descended 450 ft.,
and descended an additional
100 ft. However, it was in the
flight path of another plane,
so it ascended 100 ft. What is
the plane’s altitude?
(4,100) + (-550) = 3,550 ft. above ground.
IXL HOmework
C.5
https://www.ixl.com/signin/jlsms
EARN a Smart Score of 70 & work for at least 10 minutes!
DON’T FORGET TO LOG IN!
(You won’t receive credit for doing your homework if you are not logged in!)
TO LOG IN:
CLICK on the IXL button on the Simpson Home Page (left side)
Username: given to you by your teacher
(Usually your initial of first name, and full last name)
Password: math7
•
• CLICK on MATH
• CLICK on 7th GRADE
CLICK on the skill(s) assigned for homework
EARN a Smart Score of 70 on the assigned skill(s),
then you are done!
(Spend at least 10 minutes practicing.)
END OF LESSON
The next slides are student copies of the notes for this
lesson. These notes were handed out in class and
filled-in as the lesson progressed.
NAME:
Math-7 NOTES
DATE: ______/_______/_______
What: Integer applications (Word Problems)
Why: To analyze a variety of real-life integer applications/ scenarios.
Analyzing a “word problem”:
1. Read entire problem first.
2. Read AGAIN and ____________________ key
words.
3. Set up the problem and ____________!!
Key Words:
SUM means ________________ .
DIFFERENCE means _______________ .
PRODUCT means ___________________ .
QUOTIENT means ___________________ .
Together:
1) What is the product of 7 and -5?
2) What is the sum of -30 and -20?
3) What is the difference between -5
and 17?
4) What is the quotient of -100 and -5?
On Your Own:
5) What is the quotient of 24 and -8?
6) What is the difference between 5
and -20?
7) What is the sum of -120 and 130?
8) What is the product of -6 and -7 ?
Integer word problems:
HINT for next problems: Finding the difference between a positive and a negative
number involves SUBTRACTING a negative!!!
1)
It was a brisk 10°F on a wintery
night in Alaska. However, the
wind-chill factor made it feel like
it was -8°F. What is the
difference between these two
temperatures?
3)
The temperature on Monday was 12°F. By Tuesday, it decreased 20
degrees. What was the temperature on Tuesday?
HINT: Read carefully, this one is different . . .
2)
The record high temperature for
January in Augusta, Maine is
45°F, while the record low
temperature is -15°F. What is the
difference between the record
high and the record low?
HINT for next problems: Add the total points up– follow your addition rules (Same signs,
add. Different signs, subtract!)
4)
Joe ended round 1 with $45,350.
However, Bob ended round 1 with
-$3,500. If their money were
combined, how much would it total?
5)
Jason had 15 points in round 1, -20
points in round 2, and 30 points in
round 3. What was his total points
for all 3 rounds?
HINT for next problems: The phrase “How much more . . .” means SUBTRACTION.
These also involve finding the difference between a positive and a negative . . .
6)
Jade’s bank account balance was
-$75.00 on Monday. If she needs
$125 by Christmas, how much more
money does she need to earn?
7)
Jake owes his parents $60, and has
nothing in his savings. Josh has $250
in his savings. How much more
money does Jake need in order to
have as much as Josh?
HINT for next problems: Group the negative movements together. Do the same for the
positives. Then, add them.
8)
A Navy submarine was 50 ft. below
sea level. It rose 15 ft., sank 90 ft.,
rose 20 ft., and sank 15 ft. Where is
the submarine?
9)
An airplane was at an elevation of
4,000 ft. above the ground. It
descended 450 ft., and descended an
additional 100 ft. However, it was in
the flight path of another plane, so it
ascended 100 ft. What is the plane’s
altitude?
NAME:________________________________________________________________________________DATE: _____/_____/__________
Homework/practice
“Integer Word Problems”
Complete the following IXL assignment:
IXL: C.5
In addition, evaluate the following (SHOW WORK) :
1) What is the product of 12 and -3?
2) What is the sum of -28 and -2?
3) What is the difference between 13
and -3?
4) What is the quotient of -28 and -7?
5) What is the difference between 10
and 2?
6) What is the sum of -6 and 20?
7)
8) What is the quotient of 40 and -2?
What is the product of -50 and -3?
Evaluate the following story problems (SHOW WORK):
1.
Steve is balancing his checkbook for the week. He began the week $15.00 in
debt (- $15.00). However, he received two paychecks– one for $128.00 and
another for $32.00. He also received two bills– one for $84.00 and another for
$66.00. After depositing the checks and paying the bills, how much did Steve
end up with?
2.
Claire entered the elevator on the 8th Floor. She rode the elevator down nine
levels, up six levels, and down four more levels. What floor did she end up on?
3.
Jennifer has $4,500 in her bank account. Oliver is in debt by $200. Since they
are getting married, they will combine their finances. How much money will
they have all together?
4.
It was 10°F on Saturday, but the temperature fell 18° by Sunday. What was the
temperature on Sunday?
5.
On a snowy day in Maine, the temperature was 14°F, but the wind-chill factor
made it feel like it was -4°F. What is the difference between the real
temperature and the wind-chill factor?
NAME:________________________________________________________________________________DATE: _____/_____/__________
Write your own Word Problem/
Poster Project . . .
Directions (may work on your own or with a partner):
1.
Use the space below in order to write your “rough draft” integer word problem.
2.
Get problem approved by teacher.
3.
On a separate piece of “mini-poster” paper (teacher will provide), write final
version of problem (use marker and make sure there are no spelling mistakes).
4.
Draw a picture to support the problem. Posters will be hung/ displayed, so please
be as neat as possible.
Rough Draft: