Monday, April 9 th. Warm UP. Please complete Warm up. Find the quotient 1. 12.44 ÷ .2 2. 101.5 ÷ 5. Direct Variation Test . Reteach TOMORROW. Retest WEDNESDAY. Homework for the next two weeks . Signature by WEDNESDAY
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Signature by WEDNESDAY
This is your homework for the next two weeks! If you would like to work ahead then you may do so!
Get pass from me if you want to come in and review!
What rules do you remember?
Place Value Review
Steps
Compare any TWO decimals at a time
fill in zeroes so that each number has the same amount of place values
Start at the left and compare the digits
Look for the first place where they are different and rank them.
Compare the next numbers using steps 14
Tia reported on a star for her science project that has a magnitude of 11.3. Maven reported on another star that has a magnitude of 11.03. Which star has the smaller magnitude?
2. It takes Pluto 246.7 years to orbit the Sun, and it takes Neptune 164.8 years. Which planet takes longer to orbit the Sun?
Take the cards and put them from least to greatest
“Line up your decimals, add in your zeroes, find the sum, don’t be a bum…..line up your decimals, add in your zeroes, now it’s time to subtract, don’t get this out of wack”
Your mom gave you exactly $20.00 to spend at the Braves Game. One hot dog costs $4.45, a Coke costs$2, Nachos costs $5.60 and Dip’n Dots costs $4.59, what will the bill come to? Will you have enough money to buy all the food?
Decimals
Multiply, Then place the decimal point.
1 decimal place
+ 1 decimal place
2 decimal places
Just Watch
Find the product.
0.5 0.2
0.5
0.2
0.10
1. 12.6 x 2.1
2. .3 x .4
3. 1.34 x 2.5
4. .07 x .8
Complete and then help others in your group!
Dividing Decimals
Dividing
A Monday Morning Party….
We’ve got Ms. Evans, the PP, and your minds,
Let’s get these quotients started!
M
Place a decimal point in the quotient directly above the decimal point in the dividend. Divide as you would with whole numbers.
Just Watch #1
Find the quotient.
0.84 ÷ 3
0.
2
8
3 0.84
– 6
24
– 24
0
Divide. decimal point in the dividend. Divide as you would with whole numbers.
Move decimal place over once for divisor
Move decimal place over once for dividend
Just Watch #2
Find the quotient.
5.2 ÷ 1.3
Dividend=5.2 1.3=Divisor
1.3 5.2
4
13 52
–52
0
5.2 ÷ 1.3 = 4
1 decimal point in the dividend. Divide as you would with whole numbers.
Move decimal over once in divisor
Move decimal over once in dividend
Divide.
Let’s Try Together!
Find the quotient.
1. 6.6 ÷ 1.1
1.1 6.6
6
11 66
66
0
6.6 ÷ 1.1 = 6
b. 0.72 ÷ .3
c. 2.96 ÷ .04
d. .32 ÷ 8
Complete and then help others in your group!
Estimate
22.15 ÷ 5
4.43
Fractions
To add or subtract unlike fractions, first rewrite them as equivalent fractions with a common denominator.
Remember!
Fractions that represent the same value are equivalent.
How do we do this? equivalent fractions with a
Steps for unlike denominators
11 equivalent fractions with a
13
9
3
11
22
3
__
__
__
__
__
__
__
24
12
24
8
8
12
24
Just Watch

Multiples of 12: 12, 24, …
Multiples of 8: 8, 16, 24, … The LCD is 24.
–
Write equivalent fractions with a common denominator.
–
Subtract.
4 equivalent fractions with a
5
7
1
4
12
1
__
__
__
__
__
__
__
21
7
21
3
3
7
21
Let’s Try Together!

Multiples of 7: 7, 14, 21, …
–
Multiples of 3: 3, 6, 9, 12, 15, 18, 21, …The LCD is 21.
–
Write equivalent fractions.
Subtract.
1 equivalent fractions with a
1
3
5
1
1
1
7
3
5
13
1
1
1
3
__
__
__
__
__
__
__
__
__
__
__
__
__
__
__
2
6
4
6
3
12
24
4
8
8
6
24
8
8
12
cup
Pick 3
Add or subtract. Write each answer in simplest form.
1. +2. –
3. – 4. +
5. Bonnie is making oatmeal bars and the recipes calls for cup of brown sugar. If she has cup of brown sugar, how much more does she need?
2 equivalent fractions with a
1
5
8
2
3
1
__
__
__
__
__
__
__
4
12
3
3
12
4
12
Just Watch
5 – 1
The LCD of 3 and 12 is 12.
5
5
Write equivalent fractions with a denominator of 12.
–1
– 1
______ ______
Subtract the fractions and then the whole numbers.
4
1 equivalent fractions with a
3
1
7
1
6
3
__
__
__
__
__
__
__
7
14
2
2
14
7
14
You try!
4 – 1
4
4
The LCD of 2 and 7 is 14.
Write equivalent fractions with a denominator of 14.
–1
– 1
______ ______
Subtract the fractions and then the whole numbers.
3
Regrouping equivalent fractions with a
I need to rename to have enough fourths to take away from
Here’s how you do it!
Lace up your shoes and let’s get ready to PRACTICE!!!!!! equivalent fractions with a
1 equivalent fractions with a
1
5
6
1
5
7
1
2
1
1
5
__
__
__
__
__
__
__
__
__
__
__
__
6
6
6
6
6
6
3
6
6
6
6
6
#1
7 – 2
7
6
Rename 7 as 6 + 1 = 6 + + .
Subtract the fractions and then the whole numbers.
–2
–2
______ ______
Write the answer in simplest form.
4
= 4
2 equivalent fractions with a
4
7
4
7
14
4
10
7
7
4
__
__
__
__
__
__
__
__
__
__
__
10
10
10
5
10
10
10
10
10
10
10
#2
8 – 6
10 is a multiple of 5, so 10 is a common denominator.
8
7
Rename 8 as 7 + 1 = 7 + + .
–6
–6
______ ______
Subtract the fractions and then the whole numbers.
1
In your groups, fill in the blanks
If I go to subtract my fractions and there isn’t a large enough fraction to subtract from I must ____________one of my fractions. To do this I subtract 1 from my _____________ number. Next, I __________my numerator and denominator, this is my new ____________________. This whole process is called _______________________________.
Multiplying & dividing equivalent fractions with a
Criss equivalent fractions with a Cross Simplify
You can simplify before you multiply!
It’s called:
Criss cross simplify
http://www.youtube.com/watch?v=010KyIQjkTk
Remember what the genie said equivalent fractions with a
Crisscross multiply will save you from a headache!
1 equivalent fractions with a
__
Write 1 as an improper fraction. 1 =
•
1
4
1
1
1
4
1 • 4
4
1
__
__
__
__
__
__
__
__
_____
3
12
3
3
4 • 3
3
3
3
4
4
• 1
Multiply numerators. Multiply denominators.
Write the answer in simplest form.
1 equivalent fractions with a
1
7
__
__
__
Write 3 as an improper fraction. 3 =
•
4
1
4
4
7 • 4
28
14
7
2
2
2
__
__
__
__
__
__
_____
__
5
2 • 5
2
5
2
10
5
5
You Try #1!!!
3•
Multiply numerators. Multiply denominators.
Write the answer in simplest form. You can write the answer as a mixed number.
= 2
3 equivalent fractions with a
3
__
__
Write 2 as an improper fraction. 2 =
•
•
12
5
12
19
19
3
57
3 • 19
19
12
8
8
__
__
__
__
__
__
__
______
__
__
26
8
13
8
8
26
13
13
13 • 2
8
You Try #2!!!
• 2
3
Use the GCF to simplify before multiplying.
2
You can write the answer as a mixed number.
= 2
34 equivalent fractions with a
14
14
14
14
__
__
__
__
__
Recall that multiplication by a whole number can be represented as repeated addition. For example, 4 • 5 = 5 + 5 + 5 + 5. You can multiply a whole number by a fraction using the same method.
=
+
+
3 • =
=
+
+
Rewrite as multiplication using the equivalent fractions with a
reciprocal of 7, .
8
8 • 1
8
1
1
8
8
__
__
__
__
__
____
__
7
7
7
7 • 7
7
7
49
Just Watch
÷ 7
÷ 7 = •
=
Multiply by the reciprocal.
=
The answer is in simplest form.
3 equivalent fractions with a
5
2
5
2
5
1
3
2
5
5 • 3
__
__
__
__
__
__
__
____
__
__
__
3
4
6
6 • 2
2
2
4
6
3
6
3
Let’s Try Together #1
÷
Rewrite as multiplication using the
reciprocal of , .
÷ = •
1
=
Simplify before multiplying.
2
Multiply.
=
You can write the answer as a mixed number.
= 1