# Module 1 Unit 1 Notes

Document Sample

```					                                                      November 30, 2012

Welcome to class!

Get a marker board, marker, and eraser from the green table

November 30, 2012

Dividing Whole Numbers Notes
REMEMBER~ Top drops in the box!!

Solve.

148÷4 418÷21

256÷8 178,932÷6

721÷6 1,944÷27

The record for the largest attendance for a 7-game World Series is 394,716 in 1957 for the series
between the Milwaukee Braves and New York Yankees. What is the average attendance per game of the
series?
November 30, 2012

Welcome to Class!

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

Prime Factorization Notes
Divisibility Rules:

Number                          Test for Divisibility

2      Number ends in 0, 2, 4, 6, or 8

3      Sum of the digits is divisible by 3

4      The number formed by the last 2 digits is divisible by 4

5      Number ends in 0 or 5

6      Number is even and divisible by 2 AND 3

8      The number formed by the last 2 digits are divisible by 8

9      Sum of the digits is divisible by 9

10     Number ends in 0

Test these numbers to see if they are divisible by 2, 3, 4, 5, 6, 8, 9, and 10.
a) 456 b.) 100

Factors- whole number that divides another whole number with a remainder of _____________

Prime number- whole number with exactly _______________factors

Composite number- whole number that has more than 2 __________________________

List all the factors for each of these numbers.
a.) 27 b.) 48

Tell whether these numbers are prime or composite.
a) 14 c.) 13

b)   11 d.) 35

Prime Factorization- writing a composite number as the product of its _________________factors

Example 1:
Example 2:
Use a factor tree to write the prime
Use a step diagram to write the prime
factorization of 60.
factorization of 72.

Example 3:
Your class of 36 students is on a field trip at the zoo. The teacher wants to break the class into
groups of the same size. Find all the possible group sizes.
November 30, 2012

Welcome to Class!

Get a blue math book

Pass back papers

PROBLEM OF THE WEEK!
November 30, 2012

Greatest Common Factor Notes
Factor-whole number that _______________another whole number evenly

Common Factor- whole number that is a ____________factor of more than 1 number.

Greatest Common Factor (GCF)- the _________________of all the common factors.

Two Methods for finding the GCF:
1.    Listing the ___________________

2.   Prime Factorization

Example 1:                                            Example 2:
Find the GCF of 16 and 28 by listing the factors.     Find the GCF of 18 and 32 by listing the factors.

Factors of 16:                                        Factors of 18:

Factors of 28:                                        Factors of 32:

Example 3:                                            Example 4:
Find the GCF of 10 and 85 by using a factor tree.     Find the GCF of 20, 55, 65 by using factor trees.

Example 5:
Find the GCF of 12, 24, 60 by using a step diagram

Example 6:
A science class with 15 girls and 12 boys is divided into groups where each group has the same
number of boys and the same number of girls. What is the greatest number of groups that can be formed?
How many boys and girls are in each group?
November 30, 2012

Welcome to Class!

Come see me to pass back papers

PROBLEM OF THE WEEK!
November 30, 2012

Least Common Multiple Notes
Multiple- _____________________of the number and a nonzero _______________number.
HINT: Count by that number!

Common Multiple- multiple that is _____________________by 2 or more numbers.

Least Common Multiple (LCM)- the ________________________of the common multiples.

Find the least common multiple (LCM) by listing the multiples.
Example 1:                             Example 2:
Multiples of 4:                                Multiples of 7:

Multiples of 6:                                Multiples of 8:

Use prime factorization to find the LCM.
Example 3: Example 4:
24               30                             36                    72

Example 5: Find the least common multiple of 5, 8, and 12 by using factor trees.

Example 6:
Three tour buses leave the visitor’s center at 9:00 AM. Bus A returns to the visitor’s center every 2
hours, Bus B returns every 6 hours, and Bus C returns every 14 hours. How many hours will it be until all
November 30, 2012
November 30, 2012

Welcome to Class

Today is the last day to turn in Problem of the Week!!
November 30, 2012

Steps:
1. Get a common ________________________________

3.   Simplify (reduce)

1 5                                                           4 2
+                                                             +
8 8                                                           5 3

3           5
+ X; X =
8          12

Subtracting Fractions:
1. Get common _________________________________

2.   _________________the numerators **Can write VERTICALLY!**

3.   Simplify (reduce)

13 9                                                              3   1
-                                                                 -
16 16                                                             4   6

7   9                                                            4   5                  2
-                                                                +                -
8 16                                                             9   9                  9

Example 8: Mark made a pizza with pepperoni covering            of the pizza and

onions covering another       . What fraction of the pizza is covered by pepperoni
and onions?
November 30, 2012

Welcome to Class!
Write down the assignment in your agenda

Get a blue math book

Come see me to pass back papers

PROBLEM OF THE WEEK!
November 30, 2012

Adding and Subtracting Mixed Numbers Notes
1. Get a common ______________________________

4.     Simplify

Solve.
2
2           3
3                             2       +4
1           2
3           4

+2     3

5          3
4     6
+3     4

Subtracting Mixed Numbers:
1. Get a common ________________________________

2.    Subtract the ____________________________________

3.    Subtract the ______________________number

Solve.

7          1
6     9
-4     9                               6   1
-2   1
2        5

5                        1
You bought 6 yards of ribbon and used 2 yards to make a pillow. How many yards of
6                        9
ribbon did you have left?
November 30, 2012

Welcome to Class!
Write down the assignment in your agenda

Come see me if you want to hand out papers

REMEMBER: Try Problem of the Week!!

Get a Bell Work Quiz from the back table
November 30, 2012

Renaming to Subtract Mixed Numbers Notes

1           3                    1             2
17        - 12                  6             - 3
8           8                    6             3

1           3                        1
8        - 6                  8-5
6           4                        8

3
3               You have 4 cups of flour, and you need to use 1 4
15 - 3
4               cups for a cookie recipe. How much flour will you
have left?
November 30, 2012

Welcome to Class!
Write down the assignment in your agenda

Review your notes for the homework quiz

Come see me if you would like to pass back papers
November 30, 2012

Multiplying Fractions and Mixed Numbers Notes
Multiplying Fractions:
1. Multiply ____________________________

2.   Multiply ____________________________

5 2
x
8 3
1 7
6 9
.

3
7
. 28
Multiplying Mixed Numbers:
1. Change to ____________________fraction

2.   Multiply ___________________________

3.   Multiply ___________________________

1   2                                             1   5
5     4
x                                          2      4
x
4   3                                             3   8

1                      1
The length of a track around a field is   4
miles. You jog 3       times around the track. How far
2
do you jog?
November 30, 2012
November 30, 2012

Welcome to Class!
Write down the assignment in your agenda

Get a blue math book

Get a Bell Work Quiz from the back table

Come see me if you want to pass back papers
November 30, 2012
November 30, 2012

Welcome to Class!
Write down the assignment in your agenda

Get a blue book

Come see me if you want to pass back papers

PROBLEM OF THE WEEK!!!
November 30, 2012

Order of Operations Notes

Order of Operations:
1.    Parentheses
2.    Exponents
3.    Multiply/Divide   (Left to Right)

Evaluate each expression.

27 - 18 ÷ 6 30 ÷ 3 - 4 . 2

(8 + 4) ÷ 4 - 2 5 + 62 . 10

(3 + 7) (6 - 3)2 8 . 3
4+2
November 30, 2012

Welcome to Class!
Write down the assignment in your agenda

Review Order of Operations (PEMDAS) for your homework quiz!

Come see me if you want to hand back papers
November 30, 2012

Order of Operations with Fractions and Mixed Numbers Notes
4   .3÷9
5       8     10

5
9
-    7
+
18 6
1
(
1
+
2 3 )
2
÷1
1
2

(   5
2
3
+3
1
2
÷8
3
5)            3  3
+ ÷
2 7
4 20 5 8
. -1
November 30, 2012

Welcome to Class!

Write down the assignment in your agenda

Come see me if you want to pass back papers

PROBLEM OF THE WEEK!
November 30, 2012

Word Problems Notes

Example 1:
7
The gas in your family's car was        full8when you left your house. When you arrived
1
at your destination,the tank was   4   full. What fraction of a tank of gas did you use during
the trip?

Example 2:
3                                     1
On Saturday you hiked 4    miles. On Sunday, you hiked 3
8                                  miles. How far did you
2
hike during the weekend?

Example 3:
1
To make a fruit punch drink, you use           of
cup 3 water. You want to make 6 drinks.
How many cups of water do you need?

Example 4:
1
Joanne has 13    yards of material to make costumes. Each complete costume
2
1                       3
requires 1 2 yards for the top and 4 yard for the bottom. How many complete costumes
can she make?
November 30, 2012

Welcome to Class!
Write down the assignment in your agenda

Put your homework on the top left corner of you desk

Come see me if you want to pass back papers

PROBLEM OF THE WEEK!

Turn in all missing assignments
November 30, 2012

Welcome to Class!
Write down the assignment in your agenda

Turn in all missing assignments BEFORE the test

GOOD LUCK
November 30, 2012

Adding & subtracting fraction--get a COMMON DENOMINATOR

Dividing Fractions-- Leave me alone, Change my sign, Flip me over

Prime Factorization--Use factor trees

Order of Operations--PEMDAS

Turn mixed numbers into improper fractions on gridded response