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# Monday, April 9 th - PowerPoint PPT Presentation

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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### Monday, April 9th

Warm UP

Find the quotient

1. 12.44 ÷ .2 2. 101.5 ÷ 5

Reteach

TOMORROW

Retest

WEDNESDAY

Signature by WEDNESDAY

This is your homework for the next two weeks! If you would like to work ahead then you may do so!

Superbowl

Wednesday, April 25th

### Morning Tutoring

Get pass from me if you want to come in and 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!

### Part 1: Decimals

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 1-4

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?

### Partner Work

Take the cards and put them from least to greatest

1.

3.45 + 6.12 + 12.09

2.

14.56 + 6.7912

1.

14.03 – 6

2.

10.07 - 8.456

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

• Add up the decimal places to the right of each number.

• Answer to step 3 is the amount of places you move your decimal to the left.

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

• Add up the decimal places to the right of each number.

• Answer to step 3 is the amount of places you move your decimal to the left.

2. .3 x .4

3. 1.34 x 2.5

4. .07 x .8

Complete and then help others in your group!

Find the Product

3.4 x .03

3.4

.03

=102

=1.02

Dividing Decimals

### Are you Ready for Some…

Dividing

A Monday Morning Party….

We’ve got Ms. Evans, the PP, and your minds,

Let’s get these quotients started!

M

Vocab Review

Quotient

0.15

0.75

5

Divisor

Dividend

• Set up divisor and Dividend

• Look at the Divisor, move decimal place over to make a whole number

• However many places you moved the decimal in step 2, you move the decimal in the dividend

• Divide as you would with a whole number

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

Practice makes perfect decimal point in the dividend. Divide as you would with whole numbers.

b. 0.72 ÷ .3

c. 2.96 ÷ .04

d. .32 ÷ 8

Complete and then help others in your group!

What did Johnny Depp do wrong? decimal point in the dividend. Divide as you would with whole numbers.

Estimate

22.15 ÷ 5

4.43

### Part 2 decimal point in the dividend. Divide as you would with whole numbers.

Fractions

3 types of fractions decimal point in the dividend. Divide as you would with whole numbers.

• Simple: value less than 1

• Mixed: whole number and simple fraction. Value is greater than 1

• Improper: Numerator is greater than the denominator. No whole numbers. Value greater than 1.

What did mickey do wrong? decimal point in the dividend. Divide as you would with whole numbers.

How do we add when we don’t have common denominators?!? decimal point in the dividend. Divide as you would with whole numbers.

Make decimal point in the dividend. Divide as you would with whole numbers.

EQUIVALENT

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

• 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.

Time to + and -!!! equivalent fractions with a

Steps for unlike denominators

• Find the LCD for the two denominators by looking for LCM

• Make equivalent fractions by multiplying both the numerator and denominator by the same number (to get LCD)

• If needed, simplify

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.

What did equivalent fractions with a CL do wrong?

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

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?

How do we equivalent fractions with a add and subtract Mixed numbers?

Then

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

Who did the problem correctly? equivalent fractions with a

Regrouping equivalent fractions with a

Renaming fractions equivalent fractions with a

I need to rename to have enough fourths to take away from

Here’s how you do it!

• Subtract 1 from your big

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

Summary equivalent fractions with a

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

Criss equivalent fractions with a

Cross

Challenge

Remember what the genie said equivalent fractions with a

Criss-cross multiply will save you from a headache!

1. The Recipe equivalent fractions with a Multiplying Mixed Fractions

• Change mixed to improper

• Criss-Cross Simplify

• Multiply numerators

• Multiply denominators

• Simplify if needed

You Try! equivalent fractions with a Change to improper

• 1. 2.

• 3. 4.

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 • =

=

+

+

1. The Recipe equivalent fractions with a

• Keep your first fraction the way it is

• “Flip” (find the Reciprocal) the second fraction

• Change problem to multiplication

• Reduce diagonally if possible

• Multiply Numerator

• Multiply Denominator

KFC equivalent fractions with a

Keep

Flip

Change

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

You Try! equivalent fractions with a

3.

2.

Any Questions?!?!?!?! equivalent fractions with a