4251 30011 0010 1010 1101 0001 0100 1011

Monday, April 9th

Please complete Warm up

Find the quotient

1. 12.44 ÷ .2 2. 101.5 ÷ 5

Warm UP

4251 3

0011 0010 1010 1101 0001 0100 1011

Direct Variation Test

Reteach

TOMORROW

Retest

WEDNESDAY

4251 3

0011 0010 1010 1101 0001 0100 1011

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!

4251 30011 0010 1010 1101 0001 0100 1011

When is the MathSuperbowl

Wednesday, April 25th

4251 30011 0010 1010 1101 0001 0100 1011

Morning Tutoring Get pass from me if you want

to come in and review!

4251 3

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!

4251 30011 0010 1010 1101 0001 0100 1011

Decimals and Fractions

4251 30011 0010 1010 1101 0001 0100 1011

Part 1: Decimals

What rules do you remember?

4251 3

0011 0010 1010 1101 0001 0100 1011

Place Value Review

4251 3

0011 0010 1010 1101 0001 0100 1011

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

4251 3

0011 0010 1010 1101 0001 0100 1011

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?

4251 30011 0010 1010 1101 0001 0100 1011

Take the cards and put them from least to

greatest

Partner Work

4251 3

0011 0010 1010 1101 0001 0100 1011

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”

4251 3

0011 0010 1010 1101 0001 0100 1011

Adding

1. 3.45 + 6.12 + 12.09

2. 14.56 + 6.7912

4251 3

0011 0010 1010 1101 0001 0100 1011

Subtracting

1. 14.03 – 6

2. 10.07 - 8.456

4251 3

0011 0010 1010 1101 0001 0100 1011

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?

4251 3

0011 0010 1010 1101 0001 0100 1011

MultiplyingDecimals

4251 3

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.

4251 3

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

4251 3

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.

4251 3

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!

4251 3

0011 0010 1010 1101 0001 0100 1011

What did Aladdin do wrong?

Find the Product 3.4 x .03

3.4.03

=102=1.02

4251 3

0011 0010 1010 1101 0001 0100 1011

Dividing Decimals

4251 30011 0010 1010 1101 0001 0100 1011

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

4251 3

0011 0010 1010 1101 0001 0100 1011

Divisor

Quotient

Remember!

0.150.755

Dividend

Vocab Review

.75 5

4251 3

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

4251 3

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

4251 3

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

4251 3

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!

4251 3

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!

4251 3

0011 0010 1010 1101 0001 0100 1011

What did Johnny Depp do wrong?

Estimate

22.15 ÷ 5

4.43

4251 30011 0010 1010 1101 0001 0100 1011

Part 2Fractions

4251 3

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.

4251 3

0011 0010 1010 1101 0001 0100 1011What did mickey do wrong?

10 812 12

20

4251 3

0011 0010 1010 1101 0001 0100 1011

How do we add when we don’t have common denominators?!?

1 32 4

4251 3

0011 0010 1010 1101 0001 0100 1011

Make EQUIVALENT Fractions!!!

4251 3

0011 0010 1010 1101 0001 0100 1011

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.

4251 3

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

4251 3

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

4251 3

0011 0010 1010 1101 0001 0100 1011

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

4251 3

0011 0010 1010 1101 0001 0100 1011

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!

4251 3

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

4251 3

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

4251 3

0011 0010 1010 1101 0001 0100 1011

How do we add and subtract Mixed numbers?

1 36 32 4

4251 3

0011 0010 1010 1101 0001 0100 1011

Add your bigsThen

Add your smalls

4251 3

0011 0010 1010 1101 0001 0100 1011

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

4251 3

0011 0010 1010 1101 0001 0100 1011

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!

4251 3

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

4251 3

0011 0010 1010 1101 0001 0100 1011Regrouping

4251 3

0011 0010 1010 1101 0001 0100 1011

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

4251 3

0011 0010 1010 1101 0001 0100 1011

Lace up your shoes and let’s get ready to

PRACTICE!!!!!!

4251 3

0011 0010 1010 1101 0001 0100 1011

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

4251 3

0011 0010 1010 1101 0001 0100 1011

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

4251 3

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 _______________________________.

4251 3

0011 0010 1010 1101 0001 0100 1011

Multiplying & dividing

4251 3

0011 0010 1010 1101 0001 0100 1011

Criss Cross SimplifyYou can simplify

before you multiply!

It’s called: Criss cross simplify

http://www.youtube.com/watch?v=010KyIQjkTk

23 0

11

4251 3

0011 0010 1010 1101 0001 0100 1011

Criss Cross

Challenge25 10

1000 550

4251 3

0011 0010 1010 1101 0001 0100 1011Remember what the genie said

Criss-cross multiply will save

you from a headache!

4251 3

0011 0010 1010 1101 0001 0100 1011

1. Change mixed to improper2. Criss-Cross Simplify3. Multiply numerators 4. Multiply denominators5. Simplify if needed

1. The RecipeMultiplying Mixed Fractions

4251 3

0011 0010 1010 1101 0001 0100 1011

You Try!Change to improper

1. 2.

3. 4.

156

324

1112

479

4251 3

0011 0010 1010 1101 0001 0100 1011

• 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.

4251 3

0011 0010 1010 1101 0001 0100 1011

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!!!

4251 3

0011 0010 1010 1101 0001 0100 1011

• 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!!!

4251 3

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__++ =

4251 3

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

4251 3

0011 0010 1010 1101 0001 0100 1011KFC

Keep

Flip

Change

4251 3

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

4251 3

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

4251 3

0011 0010 1010 1101 0001 0100 1011

You Try! 3.

2.

6 57 49

2 95

4251 3

0011 0010 1010 1101 0001 0100 1011

ANY QUESTIONS?!?!?!?!