Mid-Term Review 2017.notebook - Mrs. Wheaton's …...Mid Term Review 2017.notebook 3 October 09, 2017 Oct 4 3:56 PM Oct 4 3:58 PM Oct 4 3:58 PM 21. A weight-lifter's maximum amount

MidTerm Review 2017.notebook

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October 09, 2017

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Mid-Term Study Guide Review

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Fraction Word Problems

fractionwordproblems.ppt

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Oct 43:52 PM Oct 68:45 AM

FractionDecimalsPercentsPPT.pptx


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October 09, 2017

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October 09, 2017


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21. A weight-lifter's maximum amount he can lift is 300 pounds. Write and solve an inequality to find the number of 50-pound weights he can possibly lift.

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October 09, 2017


Oct 99:43 AM

Attachments

Fraction Check.docx

fractionwordproblems.ppt

FractionDecimalsPercentsPPT.pptx

1)

2)

3)

4)

SMART Notebook

Fraction Word

Problems

M/J Math 1

EETT Lesson #6

Math 2: 6-6 Dividing Fractions & Mixed #’s

Sunshine State Standards: MA.A.3.3.1-1, MA.A.3.3.1-3, MA.A.3.3.2-1, MA.A.4.3.1-2

When reading word problems containing fractions,

certain phrases can indicate the operation that you need to do in order to solve the word problem.



Subtraction −

“How much more is needed?”

“How much further than?”

“How much is left?”

“How bigger than?”

Addition +

“How much together?”

“How far will she travel

from home to the park,

then to the library?”



Division ÷

“Find the quotient…”

“Divided into to pieces…”

“How many will fit?”

“How many can be split from?”

Multiplication ×

“Times longer...”

“The product of…”

“A fraction of something…”



In the recent Student Government elections, Larry received of the votes for treasurer and Leah received of the votes.

What fraction of the votes did both candidates earn together?

1

3

1

15



Solution:

×5

=

+

×5

=

+

=

=

1

15

1

3

1

15

5

15

5+1

15

6

15

2

5

Together they received of the votes.

2

5



One tree is 6 feet tall. Another one is only 3 feet tall. How much taller is the larger of two trees.

1

4



Solution:

=

− 3

6

5

2

1

4

4

4

3

4

1

4

The larger tree is

feet taller than the smaller one.

2



Sean swam 2 miles at swim team practice. If Becky swam 1 times as far as Sean, then how many miles did Becky swim?

1

3

1

2



Solution:

2

×

=

×

=

=

1

3

=

3

7

3

1

2

Becky swam

miles at swim

team practice.

3

1

2

3

2

1

3

21

6

3

6

1

2



Charlie works at a livery and uses a 60 pound bag of oats to feed the horses. If each horse gets

pounds of food, then how many horses can Charlie feed with one bag of oats?

4

5



Solution:

60

÷

=

×

=

=

75

÷

=

One bag of oats can feed 75 horses.

4

5

5

4

60

1

300

4

4

5

60

1



SMART Notebook

and Percents

Learning to Juggle

with:

Decimals,

Fractions,

I juggled

Granny’s china

teacups…

once!

A Bundled Unit

© Created by Mike Walker

Introduction

Not that kind of introduction, big fella!

Hi!

My name’s Sparky!

Fractions, Decimals, and Percents

Fractions, decimals, and percents are different ways of

representing the same number.

= 0.5 = 50%

These numbers look different, but they all have the exact same value.

Fraction Decimal Percent

Hopefully, you just had an off day!


Because we use fractions, decimals, and percents in everyday life, it’s helpful if we can juggle or change between each form…

…making these

numbers easier

to understand.

I understand

that ¼ pound of cheesy bacon burger is good!

I don’t understand how I got a 25% on my last math test.


When do we use

Decimals?

Sports

0.375 – baseball

batting average

Prices

$299.99

Gas Quantities

18.8959 gal

Pi

3.141592…

What are some other decimal uses?


When do we use

Percents?

Grades

25%

Thanks

for reminding me!

Retail Sales

60% off!

Tipping Rates

15% to 20%

Statistics

100% of students choose

shorter school days!

Where else do we find percentages?

0.25

110%

40%

Changing Decimals to Percents

Part 1:

Pondering the Percent

A percent represents

an amount out of 100.

So, for example,

instead of saying Sparky

got 25 out of 100 on his last

math test, we say Sparky got a 25%.

We use the (%) symbol instead of writing fractions with a denominator of 100.

Why

does this

number haunt me?

Decimals to Percents

Because a percentage represents

an amount out of 100, to turn a decimal into a percent, all we do is

multiply the decimal by 100.

Let’s change 0.62 to a percent!

100

× 0.62

200

+ 600

62.00

= 62

Don’t forget the percent sign!

62%


Someone

told me that when

you multiply by 100, it’s

just like moving the

decimal point 2 places

to the right!

That someone was right!

Moving

the decimal

seems waaaaay easier to me!

It is! Just don’t forget to add the percent sign after you move the decimal!

Got it!


So, let’s use Sparky’s method to easily change some decimals into percents.

0.45

= 45%

→ 45.0

0.7

Before we can move the decimal 2 places to the right, we have to add a zero.

Example 1:

Example 2:

0

→ 70.0

= 70%

00


Example 3:

1.25

→ 125.0

= 125%

Example 4:

2

An “understood” decimal comes after the 2.

.

Add two zeros so we can move the decimal!

→ 200.0

= 200%

I’m pretty sure I have this!

We better practice just in case!


Change the following decimals into percents.

1) 0.75

2) 0.11

3) 0.8

4) 0.333

5) 1.45

= 75%

= 11%

= 80%

= 33.3%

= 145%

6) 0.2

7) 0.615

8) 4

9) 0.5

10) 0.99

= 20%

= 61.5%

= 400%

= 50%

= 99%

Part 2:

Changing Percents back to Decimals

I’m getting dizzy!

This won’t be bad. Trust me!

Percents to Decimals

If we move the decimal 2 places to the right to change a decimal to a percent, what do you suppose we do to change a percent back to a decimal?

Move the

decimal 2 places

to the left?

Pure genius!

It

runs in the

family!

Check this out, Professor!

%

%


Example 1:

85

Locate the “understood” decimal after the 5 and remove the percent sign.

%

.

Then, move the decimal 2 places to the left.

→ .85

= 0.85

Example 2:

30

.

→ .30

= 0.3

Example 3:

115

.

= 1.15

Your turn!


Change the following percents into decimals.

1) 18%

2) 100%

3) 5%

4) 12.9%

5) 88%

6) 7.43%

7) 150%

8) 11%

9) 316.2%

10) 7.7%

= 0.18

= 1

= 0.05

= 0.129

= 0.88

= 0.0743

= 1.5

= 0.11

= 3.162

= 0.077

Part 3:

Changing Decimals to Fractions

Head…

going…to…

explode!

Stay with me Sparticus!

When do we use


Fractions?

Cooking/Recipes

cups flour

Measuring Length

inches

Telling time

after four

(a quarter after four)

Reading Music

note

Can you think of other ways we use fractions?

19

Focusing on Fractions

A fraction is formed by two numbers; a top number, the numerator, over a bottom number, the denominator.

or

→

→

Proper fractions, like this one, represent numbers less than 1.

Decimals to Fractions

Before we start changing decimals into fractions, we need a good understanding of how to properly say decimals.

Believe it or not, when you

properly say a decimal,

you are automatically

creating the fraction.

I’ll believe

it when I see it…

or hear it!

At least the crazy face is gone!


0. 3927

(Sample number)

Can you name the following decimal place values?

tenths

hundredths

thousandths

ten thousandths

Now let’s try to properly

“say” some decimals?


Practice saying the following decimals to yourself:

1) 0.7 →

2) 0.23 →

3) 0.034 →

4) 9.8 →

say “seven tenths”

say “twenty-three hundredths”

say “thirty-four thousandths”

say “nine and eight tenths”


1) 0.8

3) 0.052

=

=

2) 0.16

4) 4.4

=

= 4

What work still needs to be done with all of these fractions?

If you said “simplify,” you’re right!

As you say each decimal, think about the fraction you’re saying to yourself:


1) 0.8

2) 0.16

=

=

3) 0.052

4) 4.4

=

= 4

Simplify.

=

=

=

= 4

I get it!

But I better

do some more practice.

I like your attitude!

Change the following decimals into fractions.


Don’t forget to simplify!

1) 0.2

2) 1.32

3) 0.124

4) 0.5008

=

= 1

=

=

=

= 1

=

=

Changing Fractions to Decimals

1

Part 4:

Fractions to Decimals

Decimals are related to fractions because they also represent numbers

less than 1.

Does anyone know how to turn a

fraction into a decimal?

If you said to divide

the numerator by the denominator, you’re right!

But how

does that give you a decimal?

Check this out!


Let’s use as an example.

To turn into a decimal, we divide the numerator, 3, by the denominator, 4.

3.0

4

-2 8

2

0

0

.

0

7

5

-20

0

So 0.75

Hint: you can think of a fraction bar like a division (÷) symbol.


Can someone guess what the decimal form of would be?

If you said 3.75, you’re right! Notice how the whole

number stays the

same in both forms.

I think

I get it, but can

we do one more

to be sure?

Absolutely!


Let’s change into a decimal!

Remember! The whole number will stay the same, so we just need to divide 2 by 3.

2.0

3

0

.

6

-1 8

0

2

0

6

-18

2

0

0

At this point, you can see the division problem will never end, and the 6 will keep repeating.

So 5.6

I’m

still iffy!

Let’s practice!

= 0.3

= 1.5

= 2.6

= 9.625


Change the following fractions into decimals.

1)

2)

3)

4)

5)

6) 1

7) 2

8) 9

= 0.25

= 0.4

= 0.83

= 0.7

SMART Notebook

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Mid-Term Review 2017.notebook - Mrs. Wheaton's …...Mid Term Review 2017.notebook 3 October 09, 2017 Oct 4 3:56 PM Oct 4 3:58 PM Oct 4 3:58 PM 21. A weight-lifter's maximum amount