# 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

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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!

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

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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

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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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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

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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

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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

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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:
Middle School. The results are in the table below.
Explain
the
ra9o
of
brown
hair
to
red
hair
in
Mr.
Chicki’s

Blonde      Red    Brown     Black
Miss
Tongish
5        2       12         4      Explain
the
ra9o
of
blonde
hair
to
total
students
in
Miss

Cervenka’s
Mrs. Stanley       9        1       10         1
Mrs.
VanMeter
13        3        6         2
Explain
the
ra9o
of
black
hair
in
Mrs.
Stanley’s

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
to
blonde
hair
in
Mrs.

VanMeter’s
and
Miss
Tongish’s
November 30, 2012

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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

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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

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