Monday, April 9 th
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Transcript of Monday, April 9 th
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Monday, April 9th
Please complete Warm up
Find the quotient
1. 12.44 ÷ .2 2. 101.5 ÷ 5
Warm UP
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Direct Variation Test
Reteach
TOMORROW
Retest
WEDNESDAY
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Homework for the next two weeks
Signature by WEDNESDAY This is your homework for the next
two weeks! If you would like to work ahead then you may do so!
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When is the MathSuperbowl
Wednesday, April 25th
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Morning Tutoring Get pass from me if you want
to come in and review!
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0011 0010 1010 1101 0001 0100 1011CRCT Review
• Everyday for two weeks we will be covering 1-2 topics from this
semester. • You will have a daily classwork
grade.• Every Friday will be game day!
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Decimals and Fractions
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Part 1: Decimals
What rules do you remember?
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Place Value Review
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Comparing & Ordering DecimalsSteps
1.Compare any TWO decimals at a time
2. fill in zeroes so that each number has the same amount of place values
3. Start at the left and compare the digits
4. Look for the first place where they are different and rank them.
5.Compare the next numbers using steps 1-4
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Real Life Application
1. 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?
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Take the cards and put them from least to
greatest
Partner Work
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Addition and Subtraction Riddle….
“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”
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Adding
1. 3.45 + 6.12 + 12.09
2. 14.56 + 6.7912
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Subtracting
1. 14.03 – 6
2. 10.07 - 8.456
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Problem Solving
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?
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MultiplyingDecimals
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0011 0010 1010 1101 0001 0100 1011Recipe
1. Write your decimals vertically2. Multiply your two numbers 3. Add up the decimal places to the
right of each number.4. Answer to step 3 is the amount of
places you move your decimal to the left.
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0011 0010 1010 1101 0001 0100 1011Just WatchFind the product.
0.5 0.2
Multiply, Then place the decimal point.
0.5 0.2
1 decimal place + 1 decimal place
2 decimal places 0.10
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0011 0010 1010 1101 0001 0100 1011You Try!
1. 12.6 x 2.1 1. Write your decimals vertically
2. Multiply your two numbers
3. Add up the decimal places to the right of each number.
4. Answer to step 3 is the amount of places you move your decimal to the left.
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0011 0010 1010 1101 0001 0100 1011Practice makes perfect
2. .3 x .4
3. 1.34 x 2.5
4. .07 x .8
Complete and then help others in your
group!
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What did Aladdin do wrong?
Find the Product 3.4 x .03
3.4.03
=102=1.02
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Dividing Decimals
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Are you Ready for Some…
DividingA Monday Morning
Party….We’ve got Ms. Evans, the
PP, and your minds,Let’s get these quotients
started! M
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Divisor
Quotient
Remember!
0.150.755
Dividend
Vocab Review
.75 5
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0011 0010 1010 1101 0001 0100 1011Recipe
1. Set up divisor and Dividend2. Look at the Divisor, move
decimal place over to make a whole number
3. However many places you moved the decimal in step 2, you move the decimal in the dividend
4. Divide as you would with a whole number
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0011 0010 1010 1101 0001 0100 1011Find the quotient.0.84 ÷ 3
3 0.84– 6
24– 24
0
Place a decimal point in the quotient directly above the decimal point in the dividend. Divide as you would with whole numbers.
0.28
Just Watch #1
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0011 0010 1010 1101 0001 0100 1011Find the quotient.5.2 ÷ 1.3
1.3 5.2 Move decimal place over once for divisor
Move decimal place over once for dividend
Divide.
13 524
–520
5.2 ÷ 1.3 = 4
Dividend=5.2 1.3=Divisor
Just Watch #2
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0011 0010 1010 1101 0001 0100 1011Find the quotient.
1. 6.6 ÷ 1.1
1.1 6.6 Move decimal over once in divisor
Move decimal over once in dividend1
Divide.
11 666
-660
6.6 ÷ 1.1 = 6
Let’s Try Together!
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0011 0010 1010 1101 0001 0100 1011Practice makes perfect
b. 0.72 ÷ .3
c. 2.96 ÷ .04
d. .32 ÷ 8
Complete and then help others in your group!
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What did Johnny Depp do wrong?
Estimate
22.15 ÷ 5
4.43
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Part 2Fractions
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0011 0010 1010 1101 0001 0100 10113 types of fractions
1. Simple: value less than 1
2. Mixed: whole number and simple fraction. Value is greater than 1
3. Improper: Numerator is greater than the denominator. No whole numbers. Value greater than 1.
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0011 0010 1010 1101 0001 0100 1011What did mickey do wrong?
10 812 12
20
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How do we add when we don’t have common denominators?!?
1 32 4
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Make EQUIVALENT Fractions!!!
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Fractions that represent the same value are equivalent.
Remember!
To add or subtract unlike fractions, first rewrite them
as equivalent fractions with a common denominator.
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0011 0010 1010 1101 0001 0100 1011• You can use any common denominator. But it will be easier to find the least common denominator to add and subtract unlike fractions.
• The least common denominator (LCD) is the least common multiple of the denominators.
How do we do this?
1 32 4
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0011 0010 1010 1101 0001 0100 1011Time to + and -!!! Steps for unlike denominators
1. Find the LCD for the two denominators by looking for LCM
2. Make equivalent fractions by multiplying both the numerator and denominator by the same number (to get LCD)
3. Add the numerators, leave your denominator
4. If needed, simplify
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1112__ 3
8__
–1112__ 3
8__
–2224__ 9
24__
Multiples of 8: 8, 16, 24, … The LCD is 24. Write equivalent fractions with a common denominator.
Subtract. 1324__
Multiples of 12: 12, 24, … -
Just Watch
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47__ 1
3__
–47__ 1
3__
–1221__ 7
21__
Multiples of 3: 3, 6, 9, 12, 15, 18, 21, …The LCD is 21. Write equivalent fractions.
Subtract. 521__
Multiples of 7: 7, 14, 21, …
-
Let’s Try Together!
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0011 0010 1010 1101 0001 0100 1011What did CL do wrong?
3 14 6
6 3 1 46 4 6 4x xx x
20 424 24
1824
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0011 0010 1010 1101 0001 0100 1011Add 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?
38__ 1
6__ 1
2__ 1
8__
512__ 1
6__ 1
6__ 1
8__
34__
13__
1324__ 3
8__
14__ 7
24__
512__ cup
Pick 3
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How do we add and subtract Mixed numbers?
1 36 32 4
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Add your bigsThen
Add your smalls
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23__ 1
4__
5 23__ 5 8
12__ The LCD of 3 and 12 is 12.
–1 14__ – 1 3
12__
______ ______Write equivalent fractions with a denominator of 12.
4 512__ Subtract the fractions and
then the whole numbers.
5 – 1
Just Watch
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12__ 3
7__
4 12__ 4 7
14__ The LCD of 2 and 7 is 14.
–1 37__ – 1 6
14__
______ ______Write equivalent fractions with a denominator of 14.
3 114__ Subtract the fractions and
then the whole numbers.
4 – 1
You try!
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0011 0010 1010 1101 0001 0100 1011Who did the problem correctly?
1 16 32 6
2312
133
1 16 32 6
1 16 32 6
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0011 0010 1010 1101 0001 0100 1011Regrouping
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Renaming fractions
I need to rename to have enough fourths to take away from
Here’s how you do it! 1. Subtract 1 from your big 2. add your numerator to your
denominator3. Answer to step 2 is your new
numerator
1 24 24 4
1 54 34 4
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Lace up your shoes and let’s get ready to
PRACTICE!!!!!!
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16__ 5
6__
7 16__ 6 7
6__ Rename 7 as 6 + 1 = 6 + + .
–2 5
6__ –2 5
6__
______ ______
4 26__
Subtract the fractions and then the whole numbers.
16__ 1
6__ 6
6__ 1
6__
Write the answer in simplest form.
= 4 13__
7 – 2
#1
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25__ 7
10__
8 410__ 7 14
10__
Rename 8 as 7 + 1 = 7 + + . –6 710__ –6 7
10__
______ ______
1 710__ Subtract the fractions and then the
whole numbers.
410__ 4
10__ 10
10__ 4
10__
10 is a multiple of 5, so 10 is a common denominator.
8 – 6
#2
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0011 0010 1010 1101 0001 0100 1011Summary
In your groups, fill in the blanksIf 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 _______________________________.
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Multiplying & dividing
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Criss Cross SimplifyYou can simplify
before you multiply!
It’s called: Criss cross simplify
http://www.youtube.com/watch?v=010KyIQjkTk
23 0
11
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Criss Cross
Challenge25 10
1000 550
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0011 0010 1010 1101 0001 0100 1011Remember what the genie said
Criss-cross multiply will save
you from a headache!
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1. Change mixed to improper2. Criss-Cross Simplify3. Multiply numerators 4. Multiply denominators5. Simplify if needed
1. The RecipeMultiplying Mixed Fractions
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You Try!Change to improper
1. 2.
3. 4.
156
324
1112
479
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• 114__ 1
3__
Write 1 as an improper fraction. 1 =
43__1
3__1
3__1
4__ 4
3__•
1 • 44 • 3_____ Multiply numerators. Multiply denominators.
412__
13__ Write the answer in simplest form.
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3 • 12__ 4
5__
Write 3 as an improper fraction. 3 =
72__1
2__1
2__7
2__ 4
5__•
7 • 42 • 5_____ Multiply numerators. Multiply denominators.
2810__
145__ Write the answer in simplest form. You
can write the answer as a mixed number.
45__= 2
You Try #1!!!
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• 21213__ 3
8__
Write 2 as an improper fraction. 2 =
198__3
8__3
8__12
13__ 19
8__•
3 • 19 13 • 2
______
Use the GCF to simplify before multiplying.
5726__ You can write the answer as a mixed number.
526__= 2
3
21213__ 19
8__•
You Try #2!!!
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0011 0010 1010 1101 0001 0100 1011Recall 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 • =14__ 1
4__ 1
4__ 1
4__ 3
4__++ =
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0011 0010 1010 1101 0001 0100 10111. The Recipe
1. Keep your first fraction the way it is2. “Flip” (find the Reciprocal) the
second fraction3. Change problem to multiplication4. Reduce diagonally if possible5. Multiply Numerator6. Multiply Denominator
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0011 0010 1010 1101 0001 0100 1011KFC
Keep
Flip
Change
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0011 0010 1010 1101 0001 0100 1011
÷ 7 87__
87__ ÷ 7 = •
Rewrite as multiplication using thereciprocal of 7, . 1
7__
Multiply by the reciprocal.
87
__ 17__
8 • 17 • 7____ =
The answer is in simplest form.
=
849__
Just Watch
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0011 0010 1010 1101 0001 0100 1011
÷ 56__
56__ ÷ = •
Rewrite as multiplication using thereciprocal of , .
32__
Simplify before multiplying.
56
__ 32__
5 • 36 • 2____ =
You can write the answer as a mixed number.
=
54__
23__
23__ 2
3__
1
2Multiply.
= 1
14__
Let’s Try Together #1
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0011 0010 1010 1101 0001 0100 1011
You Try! 3.
2.
6 57 49
2 95
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0011 0010 1010 1101 0001 0100 1011
ANY QUESTIONS?!?!?!?!