*
* Central Tendency:
-methods of finding the average of a set of numbers
-3 methods: mean, median, mode
What is the difference between MEAN, MEDIAN and MODE?
You can use these numbers as an example:
What is RANGE?
1, 3, 5, 7, 9, 9, 11
*
* Central Tendency:
-methods of finding the average of a set of numbers
-3 methods: mean, median, mode
Example set of numbers:
1, 3, 5, 7, 9, 9, 11
Mean:
-the sum of the values divided by the number of values
Ex. 1+3+5+7+9+9+11 = 45 ÷ 7 = 6.42… or 6
*
* Central Tendency:
-methods of finding the average of a set of numbers
-3 methods: mean, median, mode
Example set of numbers:
1, 3, 5, 7, 9, 9, 11
Mean:
-the sum of the values divided by the number of values
Ex. 1+3+5+7+9+9+11 = 45 ÷ 7 = 6.42… or 6
Median:
-the middle value when the values are written in numerical order
Ex. 7 is the middle of the range of numbers above
*
* Central Tendency:
-methods of finding the average of a set of numbers
-3 methods: mean, median, mode
Example set of numbers:
1, 3, 5, 7, 9, 9, 11
Mean:
-the sum of the values divided by the number of values
Ex. 1+3+5+7+9+9+11 = 45 ÷ 7 = 6.42… or 6
Median:
-the middle value when the values are written in numerical order
Ex. 7 is the middle of the range of numbers above
Mode:
-the value that occurs the most often
Ex. 9 (from the range above)
Range:
-the difference of the greatest value and the least value in a
set of values
Ex. 11 – 1 = 10
The range is 10.
Checkpoint:
Find the mean, median, mode and range of the following set of
data:
85, 96, 72, 88, 95, 80, 86, 72
(Don’t forget to put them in numerical order first!)
* Answers:
Data: 85, 96, 72, 88, 95, 80, 86, 72
Numerical Order: 72, 72, 80, 85, 86, 88, 95, 96
Mean: 84
Median: 86
Mode: 72
Range: 96 - 72
Record today’s title and Goal Statement into your notebook:
1.7 Multiplying and Dividing
Integers
- will multiply and divide positive
and negative integers
*CAN YOU FIND THE MULTIPLYING AND DIVIDING PATTERN?
Can you identify a pattern in the second column to complete the column?
Check your answers on the next slide to see if you’re correct.
*CAN YOU FIND THE MULTIPLYING AND DIVIDING PATTERN?
Pattern: You are subtracting 3 each time.
*CAN YOU FIND THE MULTIPLYING AND DIVIDING PATTERN?
Can you write a rule for when positive integers are multiplied with
negative integers?
*CAN YOU FIND THE MULTIPLYING AND DIVIDING PATTERN?
Can you write a rule for when positive integers are multiplied with
negative integers?
Answer: The product of a positive and negative integer is negative.
*CAN YOU FIND THE MULTIPLYING AND DIVIDING PATTERN?
Try: 2(-3) =
1(-3) =
0(-3) =
*CAN YOU FIND THE MULTIPLYING AND DIVIDING PATTERN?
Answer: The product of a positive and negative integer is negative.
Try: 2(-3) = -6
1(-3) = -3
0(-3) = 0
*CAN YOU FIND THE MULTIPLYING AND DIVIDING PATTERN?
Use your answers from the previous slide to fill
in the first 3 rows in the table below.
*CAN YOU FIND THE MULTIPLYING AND DIVIDING PATTERN?
Use your answers from the previous slide to fill
in the first 3 rows in the table below.
*CAN YOU FIND THE MULTIPLYING AND DIVIDING PATTERN?
Use your answers from the previous slide to fill
in the first 3 rows in the table below.
Now find a pattern in the table and
complete the rest of the answers.
*CAN YOU FIND THE MULTIPLYING AND DIVIDING PATTERN?
Use your answers from the previous slide to fill
in the first 3 rows in the table below.
*CAN YOU FIND THE MULTIPLYING AND DIVIDING PATTERN?
Use your answers from the previous slide to fill
in the first 3 rows in the table below.
How would you complete the
following statement?
The product of two negative
integers is ____________.
*CAN YOU FIND THE MULTIPLYING AND DIVIDING PATTERN?
Use your answers from the previous slide to fill
in the first 3 rows in the table below.
How would you complete the
following statement?
The product of two negative
integers is positive.
*
Multiplying 2 different signs produces a
negative answer.
positive x negative = negative
notebook
Multiplying 2 different signs produces a
negative answer.
positive x negative = negative
Multiplying 2 same signs produces a
positive answer.
positive x positive = positive
negative x negative = positive
*OYO: Green: 1-9.
Blue: 1-10 (p.#41)
*You will Check your answers on the next
slide.
*Solutions to OYO
* 1) -9
3) -15
5) -20
7) 40
* 10) The opposite of the opposite of ab is ab;
ab.
What is the pattern for dividing?
Notebook
Dividing 2 different signs produces a
negative answer.
positive ÷ negative = negative
Dividing 2 same signs produces a
positive answer.
positive ÷ positive = positive
negative ÷ negative = positive
*
Try the problems above and then come and show me the answers when you are
done.
*
Green Challenge: (You can use a calculator, but you will need to
decide if the answer is positive or negative.)
Pgs 44 – 46: 2, 3-25odd, 26, 29-33odd, 47-51odd
Green Worksheet Choice: Famous Farming Expression
or Zorna and the Pygmy sheet
* Blue Challenge:
Pg 46: 29-33odd, 37-41odd, 42, 44
1.7 Blue WS
* Black Challenge:
Pg 46: 29-33odd, 37-41odd, 42, 44
1.7 Black WS