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Adding and Subtracting Integer Extra Practice   

https://learnzillion.com/lesson_plans/4790-subtract-integers-using-number-lines/


Check the file manager tab for extra notes!  

 


Integer and Absolute Value Notes   
1) Integers are the set of whole numbers and their opposite. No fractions or decimals! 

Examples:  9, -1, -2, 2, 19, -12, 3 

 

Non- Examples: 1.2, -.3 -1/2, .4/ -.6987

 

2)   

The opposite of a number is the  same  number but with the  different  sign.
Example one: The opposite of 3 is -3. The opposite of -3 is 3. 

Example opposite of -6 is 6. 

 

 

3)

The opposite of the opposite of a number is the original number. It can be illustrated as follows: −(−n) =n

The  double  negatives cancel each other out.

"Bye Negative, Hello Positve" 

 

a)    -(-2) = 2 

b)     -(-3) = 3

 

c)     opposite of opposite of 4: The expression is:    -(-4)

         Simplified: 4 (double negative makes a positive) 

 

 

d)      opposite of opposite of 5 

        1)  I start with 5 

       2)   the opposite is -5

      3)   the opposite of that is 5 

 

 

Absolute Value 

the distance (spaces)  away from zero on a number line 

(count the spaces not the lines on a number line)

"Absolute Value is ALWAYS Absolutely Positive"

 

Example One:

Find the absolute value of |-3|.

I know that this is still only 3 spaces away from zero on a number line.

The answer is still positive 3.

I also know for absolute value only the answers will always be positive.

 

Example Two:

 |3|

I know this is still postive three because it is three spaces away from zero on the number line.

 

Example Three:

 

|-4|  + -(-5)

4 +  5

 (absolute value of -4, which becomes 4)

(The opposite of opposite of -5, which becomes 5 because a double negative makes a positve.)

 

= 9


Box and Whisker Plot Notes   

Box and Whisker Plots

9 , 15 , 19 , 5 , 20 , 15• First things first order my data from Least to Greatest

59, 15, 15, 1920
• Put your hands up (Five things to create a Box and Whisker Plot)

1. Mrs. Hurst- Minimum

Tell Mrs. Hurst (Whisper) - Mrs. Hurst the minimum is the number with the lowest value in my data

Minimum: 5

2. Mrs. Lantrip - Maximum

Tell Mrs. Lantrip (High Pitch Voice) - Mrs. Lantrip the maximum is the number with the highest value in my data

Maximum: 20
3. Mrs. Hill - Median

Tell Mrs. Hill (Serious Voice )- Mrs. Hill I got to find my median
-Median- The number in the middle when they’re all lined up from the least to the most

-Two in the middle so I find the mean

- I think can I have two medians absolutely NOT!  


Median- 15 [15+15= 30 30 / 2 (divide by the numbers of numbers I added) = 15 ]5,9,15,{15} 15,19,20

4. Mrs. Murdock - Lower Quartile

Tell Mrs. Murdock (Low Pitch Voice) - Mrs. Murdock the lower Quartile is the median of my lower half

Lower Quartile: Lower half: 5, 9, 15
5. Mr. Sartain - Upper Quartile
Tell Mr. Sartain (Southern Accent) - Mr. Sartain, the upper quartile is the median of my upper halfUpper Quartile- 19 Upper half: 15, 19, 20

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Midpoint Review (1st Nine Weeks):  

Midpoint Review (1st Nine Weeks):

Review Factors 

    Example: How many factors does 40 have? 

                  What are all of the factors of 40?

                 

Exponents

     1. How to evaluate (solve) them: 24 

             = 16  

 

     2. Equivalent expression for exponents 

        = 2 x 2 x 2 x 2

        

Writing Expressions (Key Terms)

     Example: The sum of x and 4 

                             x + 4 

                    The difference of x and 4

                              x - 4

Product

Quotient   

 

-How to Interpert Histograms and understand Intervals  

-How to Interpert Dot Plots

 

**Mean, Median, Mode, and Range

 

Always line your data up from least to greatest first

 

Mean - average is mean

- add all the numbers in your data set then divide by the total amount of numbers you have

Mode -most often is the mode

Range - all you do is subtact the smallest from the largest

Median- the number in the middle when their all lined up from the least to the most

      -remember what to do when you have two medians find the mean 

 

 

Area: Length x Width

A=L+W 

Perimeter: (Adding All of the Sides around the outside)

P= L+L+W+W

 

Area and Perimeter of Complex Figures

 

Box and Whisker Plots 

    Identify the Five-Number Summary values

  1. Mrs. Hurst- Minimum/ Lower Extreme
  2.  Mrs. Lantrip - Maximum/ Upper Extreme

  3.  Mrs. Hill - Median

  4. Mrs. Murdock - Lower Quartile (median of my lower half)

  5. Mr. Sartain - Upper Quartile (median of my upper half)


*Interquartile Range:  Upper Quartile - Lower Quartile
Things to remember:
Key words
Read your directions more than once 
(Select all that Apply usually means more than one answer)
Great websites for Review: commoncoresheets.com (search topic)
                                        khanacademy.com 
                                        kahoot.com (search topic) 

 


Chapter 3 Review Skills   

Adding, Subtracting, Multiplying, Dividing Decimals

1)   77.2 - 43.778 =

 

2) 2.072 ÷ 5.6 = 

 

3) 4.23 (9) = 

 

4) 97.68 - 32.3 = 

 

5)         4.4(.727) =

 

6)       0.6144 ÷ 1.6 = 

 

7)         (4.4) 2.727 = 

 

8)          5, 8 5 2 ÷ 4 = 

 

9)           2, 2 8 0 ÷ 38 = 

 

10)          4 6 5   ÷ 31 = 

 

11)           6, 2 0 0

             _________   

                 40 

11 - (What operation is this? Is it a fraction? Can it be simplified using my Giant One?)

*How can I check my work for division? (By doing te inverse opperation: Multiplication)

 

Adding Fractions with unlike denominators by finding the least common denominator.

https://www.khanacademy.org/math/arithmetic/fraction-arithmetic/arith-review-common-denominators/v/finding-common-denominators

 

https://www.khanacademy.org/math/arithmetic/fraction-arithmetic/arith-review-add-sub-fractions/v/adding-small-fractions-with-unlike-denominators

  

 

12)       6                    1 

         ____      +      ____

           8                    2

 

 

 

13)        2                   6 

         ____      +      ____

           4                    10

 

 

14)        2                   4 

         ____      +      ____

           3                   10

 

 

Area and Perimeter: 

Area: L x W
Perimeter: Adding All the Sides Around the OUTSIDE 

P= L+L+W+W
P= 2L +2W
P= 2(L+W)

 

14)  Length: 8cm Width: 4cm

 

    Area:

    Perimeter: 

 

 

15)    Length: 9cm Width: 2cm

     Area:

    Perimeter: 

 

15)    Length: 12cm Width: 4cm

          Area:

          Perimeter: 

 

16)  Length: 12cm Width: 4cm

          Area:

          Perimeter: 

17)  Length: 6

 

           Area: 

           Perimeter: 

 

 

 

 

 Creating Equilivant Fractions using Giant One 

(I need to think whatever I do to bottom, I do to the top)
( If I do not know my multiplication facts what can I do? 

       1. Divide 

       2. List out my multiples

       *How can I check my work? I can do the inverse opperation and ask myself are they the same? 

 

18)

 4

__ x    ____       =    _____

6                                 48

 

 

 

 

19)

 5

__ x    ____       =    _____

7                             35

 

 

20) 

 8                              80

__ x    ____       =    _____

9                            

 

 

21)

 

 20                             2

__  ÷  ____       =    _____

70       

 

 

 Least Common Multiple: (List them out)

22)              Find the least common Multiple:

                    7: 

                    11: 

 

23)              Find the least common Multiple:

                    8: 

                    4: 

 

24)              Find the least common Multiple:

                    9: 

                    5: 

 

 

                    

25)              Find the least common Multiple:

                    11: 

                    8: 

 

 

26)              Find the least common Multiple:

                    12: 

                      9: 

 

 

 

 

 

Percent 

 

Whole ($ I can think of it as money in my bank)                Missing 

______   =                                                                            _______

100%                                                                                     Part %

 

Cross Multiply:

 

27) What is 10% of 140?

(I can think if I have a total of $140 in my bank account, what is 10% of it)

 

 

1. 140                    missing ( I am looking for the 10% of 140) I represent this with a variable: x

    ____          =  ___________________________________

    100%                        10%

 

Cross multiply

 

 

2. 140 x 10%

 

  = 1400

 

3.  100 (x times) x 

   = 100x

 

So now I have 

 

1400 = 100x     

 

And I need to think how can I get my "x" or " missing"  (what I looking for the 10% of 140) by itself? How can I isolate it. 

I know that 100x means 100 multiplied by x  and if I am trying to get x by its self, I need to think how can I reverse multiplication? 

I can do the opposite operation or the inverse? 


The opposite of multiplication is division.

 

4. So I divide 100x by 100

 

               100x

 1400=   _____

              100

 

5. Whatever I do to one side I do to the other 

 

     1400          100x

     

   ___       =   _____

    100             100

   

 

6. 14 = x 

 

7. 10% of 140 is 14

 

28) What is 10% of 130?

 

 

29)   ) What is 25% of 24?

 

 

 

30) 80 percent of what number is 20?

 

 


Chapter 2 Review Skills   

Please Review the Following for Chapter 2 Test September 12:

1. Area: Length x Width

A= L x W 

square units

Perimeter = L + L + W + W 

P= 2(L+W)
P=2L + 2W

(Adding all of the sides around the outside)

 

2.   Adding 

    Subtracting

    Multiplying

    Dividing Decimals

 

 

3. Reading and Interperting Data on a Histogram (commoncoresheets.com has great examples) 

 

 

4. Greatest Common Factor 

For example: 


-What is the GCF of 12 and 36?

  Which set of numbers has a GCF of 8? Select all that apply.

 

  A. 8 and 24

  B. 16 and 2

  C. 48 and 72

  D. 16 and 24

 

5. LCM Least Common Multiple (commoncoresheets.com)

-What is the LCM of 5 and 3?

 

-Select all numbers that have a LCM of 15. 

A) 5 and 15

B) 3 and 20

C) 3 and 5

D) 18 and 32

 

 

6. Area of Complex Figues 

(Khan Academy) (commoncoresheets.com)

 

7. Dot Plot Word Problems 

 

8. Mean, Median, Mode, and Range

(Khan Academy) (commoncoresheets.com)

 

9. What is the lower quartile

What is the lower extreme?

 

What is the upper quartile?

What is the upper extreme?

 

 

10. GCF AND LCM