Module 1 Unit 3 Notes by kccervenka

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									                                                     November 30, 2012




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                                                                                                                November 30, 2012


 Notes	
  Module	
  2	
  Unit	
  1	
  Day	
  1-­‐G:	
  	
  Conver9ng	
  between	
  frac9ons	
  and	
  decimals

 ~FRACTIONS	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  DECIMALS~
 -­‐ Divide	
  numerator	
  by	
  denominator	
  	
  	
  	
  	
  	
  	
  	
   **TOP	
  drops	
  in	
  the	
  box**

   Termina6ng	
  Decimal-­‐	
  	
  decimal	
  that	
  ____________________or	
  terminates


  Repea6ng	
  Decimal-­‐	
  decimal	
  that	
  ___________________without	
  end


Example 1:                                                      Example 2:            3
                     4                                              Change
    Change                into a decimal.                                             11 into a decimal.
                     25




Example 3:
                     3
    Write        2     as a decimal
                     5




~DECIMALS	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  FRACTIONS~
-­‐ Use	
  last	
  place	
  value	
  in	
  the	
  decimal	
  as	
  the	
  denominator
-­‐ Write	
  all	
  numbers	
  	
  in	
  the	
  numerator

Example 4:                                                       Example 5:
    Change 0.85 into a fraction.                                     Change 4.375 into a fraction.




Example 6:
    In a survey about pets, 2 of students prefer cats, 0.33 prefer dogs, 3 prefer birds, and
                            5                                            25
0.15 prefer fish. List the choices in order of preferences.
                                                       November 30, 2012




                   Welcome to Class!

Write your assignment in your agenda

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Put last night's homework on the top left corner of your desk
                                                                                 November 30, 2012

Notes Module 2 Unit 1 Day 2: Fractions/Decimals to Percents

~Decimals         Percents~
-  Write as a fraction using the place value of the last digit as the
   denominator
-  Write that fraction with denominator of 100
-  Write as a percent

Short-cut::      Move decimal 2 places to the _________________

Example 1:                                        Example 2:
    Write 0.605 as a percent.                         Write 0.06 as a percent.




      ~Percents        Decimals~
      -   Write percent over 100
      -   Divide

      Short-cut::   Move decimal 2 places to the ____________________


 Example 3:
     Write each percent as a decimal.

 a)     35%                     b)   12.5%                   c)   7.8%




  Of- means to___________________



 Example 4:                                  Example 5:
     Find the percent of the number.              During the basketball game you shot
          70% of 900                         90%. If you shot 20 times, how many of those
                                             20 shots did you make?
November 30, 2012
                                                        November 30, 2012




             Welcome to Class!

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Put your homework on the top left corner of your desk
                                                                              November 30, 2012




Notes Module 2 Unit 1 Day 3-G: Converting Fractions and Percents

~Fractions          Percents~
-   Divide numerator by denominator
-   Move decimal
    Short-cut:: If denominator is a factor of 100, write equivalent fraction
         with a denominator of 100



Example 1:                               Example 2:
    Write    4 as a percent.
             5                                During the last two basketball games, you have
                                         made 9 out of 15 free throws. What was your
                                         shooting percentage?




  ~Percents           Fractions~
  -   Write as a fraction with denominator of 100
  -   Simplify



   Example 3:                                Example 4:
       Write 45% as a fraction.                  Write 12.5% as a fraction.




   Example 5:                                 Example 6:
       Find 25% of 200.                           Find 30% of 90.
                                                        November 30, 2012




                  Welcome to Class!

Write down your assignment in your agenda

Put your homework on the top left corner of your desk

Come see me to pass back papers

PROBLEM OF THE WEEK!
                                                                     November 30, 2012




Notes Module 2 Unit 1 Day 4-G, A: Find the Percent of a Number

Of- (in math) means to ______________________


Example 1:
    Order from least to greatest
                7
        15%,      , 0.08, 50%
               20




 Example 2:                           Example 3:
     Find 75% of 140.                     Find 11% of 840.




 Example 4:                        Example 5:
     Find 40% of 2,400.                 The regular price of the video game you
                                   want is $15.98. Today you can buy it on sale for
                                   70% of the regular price. What is the sale
                                   price?
                                                November 30, 2012




              Welcome to class

Write down your assignment in your agenda

Put your homework on the top left corner of your desk

Get ready for your homework quiz

Come see me to pass back papers
                                                                                       November 30, 2012




  Notes Module 2 Unit 1 Day 5-G: Ratios

  Ratio- a comparison of __________ quantities by division.

          Ex: Can be written in 3 ways:


   Example 1:
       A basket of fruit contains 6 apples, 4 bananas, and 3 oranges. Write each ratio in all three
       forms.
       a)    Bananas to apples                         b)    Bananas and apples to oranges




          c)      Oranges to total pieces of fruit




Example 2:
    The keys on a music keyboard have a repeating pattern of five black keys and seven white keys.
    You can use ratios to describe patterns.
    a)    Find ratio of black keys to white keys    b)    Find ratio of white keys to all keys




     c)        Find ratio of white keys to black keys




Example 3:
    At Rensselaer Middle School, there are 252 students in the seventh grade and 9 seventh-grade
    teachers. Write the ratio of students to teachers in simplest form.
                                                        November 30, 2012




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                                                                                                   November 30, 2012

Notes Module 2 Unit 1 Day 6-G: Equivalent Ratios

Equivalent Ratios- two ratios that name the same ______________

               3
    Ex:
               6   =


 Example 1:                           4
     Find a ratio equivalent to       5




 Example 2:
     Tell whether the ratios are equivalent or not equivalent.

                                                                 180   25
      a)       7:3, 128:54                           b)
                                                                 240   34




      c)       6.1 to 7, 30.5 to 35




Example 3:
    Complete the ratio table.

                       x2             x3      x4          x5           x6
           5
           7


Example 4:
     It takes 2 students working together to make 5 caramel apples. If 20 students are available, how
many caramel apples can be made?
     -set up a table:


                             x2

# of students          2               6

# of apples made       5               15
                                                    November 30, 2012




             Welcome to Class!
Write down the assignment in your agenda

Put your homework on the top left corner of your desk

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Study notes for your Homework Quiz

REMEMBER: Try the Problem of the Week
                                                                                                     November 30, 2012

Notes Module 2 Unit 1 Day 7-G: Graphing Ratios on the Coordinate Plane

Coordinate Plane- a grid formed by a horizontal line and a _______________________line

X-axis- horizontal line

Y-axis- ________________________line




 Today we are only going to focus on Quadrant 1 (top right corner) of the coordinate plane!

 Example 1:
     Fill in the rest of the table with equivalent ratios.

                         x2        x3         x4         x5      x6         x7

               2
               3

Example 2:
      Miss Cervenka likes to bake cookies. Her favorite recipe calls for 2 eggs, 1 box of yellow
               1
cake mix, and     bag of chocolate chips to make 2 dozen cookies per batch. Finish the table below
               2
and plot as many points as possible on the coordinate plane.


                              # of bags of
                   # of
                               chocolate      Point
                   eggs
                                 chips

     1 batch         2             0.5       (2, 0.5)
   2 batches
   3 batches
   4 batches
   5 batches

   6 batches
   7 batches


    -     To make cookies with 10 eggs, how many bags of chocolate chips do you need?



    -     To make cookies with 3 bags of chocolate chips, how many eggs do you need?



    -     If you make these cookies with 3 eggs and 2 bags of chocolate chips, are they going
    to taste the same?
                                                        November 30, 2012




                 Welcome to Class!

Write down the assignment in your agenda

Put your homework on the top left corner of your desk

Come see me if you want to pass back papers

Work on Problem of the Week
                                                                                     November 30, 2012




  Notes Module 2 Unit 1 Day 8-G, A: Solving Equal Ratios

  Example 1:                                       Example 2:
      3       x                                        1      4
      8      16                                        5      x




                                                       Example 4:
    Example 3:
                                                           x      2
        27     9
                                                            21     7
         x     7




Example 5:
    You need 4 scoops of mix and 10 cups of water to make lemonade. If you have 12 scoops of mix, how
    many cups of water do you need in order to make lemonade of the same strength?
                                                        November 30, 2012




        Welcome to Class!

Write down the assignment in your agenda

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                                                                                                                   November 30, 2012




Notes Module 1 Unit 1 Day 9: Categorical Data Using Ratios
Categorical Data- data that can be divided into smaller groups

Example 1:
     We performed a questionnaire during advisory about hair color of all the 6th graders at Rensselaer
Middle School. The results are in the table below.
                                                      Explain	
  the	
  ra9o	
  of	
  brown	
  hair	
  to	
  red	
  hair	
  in	
  Mr.	
  Chicki’s	
  
                                                      advisory.

               Blonde      Red    Brown     Black
    Miss
   Tongish
                   5        2       12         4      Explain	
  the	
  ra9o	
  of	
  blonde	
  hair	
  to	
  total	
  students	
  in	
  Miss	
  
                                                      Cervenka’s	
  advisory.
Mrs. Stanley       9        1       10         1
   Mrs.
 VanMeter
                  13        3        6         2
                                                        Explain	
  the	
  ra9o	
  of	
  black	
  hair	
  in	
  Mrs.	
  Stanley’s	
  advisory	
  
 Mr. Chicki        8        2        9         6        to	
  total	
  students	
  with	
  black	
  hair.

   Miss
 Cervenka
                   7        1       11         7

                                                       Explain	
  the	
  ra9o	
  of	
  brown	
  hair	
  in	
  Mrs.	
  VanMeter’s	
  and	
  
   Totals         42        9       48        20
                                                       Miss	
  Tongish’s	
  advisory	
  to	
  blonde	
  hair	
  in	
  Mrs.	
  
                                                       VanMeter’s	
  and	
  Miss	
  Tongish’s	
  advisory.
                                                   November 30, 2012




                  Welcome to Class!

Write down the assignment in your agenda

Put your homework on the top left corner of your desk

Get a blue book

PROBLEM OF THE WEEK!!!
                                                                                          November 30, 2012


 Notes Module 2 Unit 1 Day 10-G: Unit Rates
 Rate- ratio that compares _____________quantities measured in different units

         Ex:   288 miles
                6 hours




 Unit Rate- rate with a denominator of _______________


         HINT: Just divide the numerator by the denominator


        Ex:     288 miles                                      48 miles
                                                                        = 48 mph
                 6 hours       **TOP drops in the box**         1 hour

                     **Rates can be written in several different ways**



                      15 mi                              15 miles per hour
                                      15 mi /h
                       1h

Example 1:                                                 Example 2:
    Write 75 miles in 1 hour in 3 different ways.              Find the unit rate.
                                                                      68 miles
                                                                       4 days




                                                              Example 4:
  Example 3:
                                                                  Find the unit rate.
      Find the unit rate.
                                                                  2 cups in 8 servings
      $58 in 6 hours




  Example 5:
        A package of cheddar cheese contains 15 servings and has a total of 147 grams of fat. Find the
  unit rate of grams of fat per serving.
                                                  November 30, 2012




          Welcome to Class!

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Put your homework on the top left corner of your desk

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                                                                                             November 30, 2012


 Notes Module 2 Unit 1 Day 11-G: Unit Rate Story Problems

 Example 1:                                      Example 2:
      You go to Wal-Mart to buy shampoo.              Your best friend also went to Wal-Mart with
 You buy the 16 oz bottle for $6.19. What is     you and bought the 13.5 oz bottle shampoo of the
 the unit price of that shampoo?                 same brand for $3.99. What is the unit price of her
                                                 shampoo?




                                   --So who got the better deal?

Example 3:
    Which bottle of apple juice is the better buy: 48 fl oz for $3.05 or 64 fl oz for $3.59?




Example 4:
     While you were at Wal-Mart, you realized you also needed some more cereal. The cereal you
wanted to buy was marked down to $0.31 per ounce and it was an 8 oz box. How much does the box of
cereal cost?




 Example 5:
      A 2-liter bottle of soda costs $2.02. A 3-liter bottle of soda costs $2.79. Which is
 the better deal?
                                                                                                              November 30, 2012

  Notes Module 2 Unit 1 Day 12-G, A: Distance=Rate x Time


    Distance Formula:
         distance = rate x time                    d = rt



             **Always write down the formula first, then substitute into that formula**


  Example 1:                                           Example 2:
      r = 2 feet per second                                d = miles, r = 25 miles per hour, t = ??
      t = 30 seconds




    Example 3:
        d = 72 miles, r = ??, t = 8 hours




   Example 4:
         You and your family are stuck in construction while going to visit your grandma who lives out of
   town and you are still 20 miles from her house. You are traveling at 36 miles per hour. You need to be
   there in 2 hours. How many miles would you travel at that constant speed? Will you make it there in
   time?




 Example 5:
      Karen is in a boat rowing 10 kilometers per hour in still water. If she has been boating for 4 hours,
 how many kilometers has she traveled?




  Example 6:
       A homing pigeon is a bird trained to fly back to its home. Homing pigeons can fly at a speed of
  about 50 miles per hour. About how long would it take for a homing pigeon to fly 300 miles?




Example 7:
     In the 2001 Junior Iditarod rave, one team completed the race in about 18 hours over two days. The
team’s average rate was 8.875 miles per hour. About how long was the race?
                                                        November 30, 2012




                 Welcome to Class!
Write down the assignment in your agenda

Put your homework on the top left corner of your desk

PROBLEM OF THE WEEK!

Come see me if you want to pass back papers

Turn in all missing work
November 30, 2012
                                           November 30, 2012




        Welcome to Class!
Write down the assignment in your agenda

Turn in any missing work BEFORE the test

Review your study guide

GOOD LUCK

								
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