January 6, 2014“Life is not so much about beginnings and endings as

it is about going on and on and on. It is about muddling through the middle.”

Anna Quindlen

POTD

After a class party 3¼ cartons of orange juice and 2¾ cartons of apple juice remained from the 10 cartons the teacher purchased. How much juice was used?

Write 2 as an improper fraction.25

A. 45

B. 75

D. 27

C. 125

Write as a mixed number.289

A. 39

B. 319

D. 339

C. 93

What does dec- mean?

What words contain the prefix dec-?

What is a decimal?

A decimal is a part of a whole.

One dollar, 4 dimes, and 3 pennies is written in decimal form.

Think about money.

$1.43

One dollar is equal to 10 dimes.

It takes 10 dimes to make 1 dollar, so a dime is one-tenth of a dollar.

One dime is equal to 10 pennies.

It takes 100 pennies to make a dollar, so each penny is equal to one-hundredth of a dollar.

It takes 10 dimes to make 1 dollar, so a dime is one-tenth of a dollar.

$0.10 = one dime

It takes 100 pennies to make 1 dollar, so a penny is one-hundredth of a dollar.

$0.01 = one penny

Practice writing these amounts of money as decimals on a sheet of paper.

71 cents

6 cents

119 cents

215 cents

What are decimals?

Decimals are numbers that include fractional parts using denominators that are powers of ten. As we move to the right of the decimal, every number place is 10 times smaller

thou

sand

s

hun

dre

ds

tens

ones

tent

hs

hun

dre

dth

s

thou

sand

ths

ten-

thou

sand

ths

Everything to the left of the decimal point is a WHOLE number.

Everything to the right of the decimal point is PART of a whole.

What is a decimal point?

A decimal point is to the right of the ones place.

Where is the tenths place?

The tenths place is to the right of the decimal point.

Where is the hundredths place?

The hundredths place is to the right of the tenths place.

Decimal Place Value Chart

thirty-two hundredths

0.32

Thirty-two out of one hundred

are shaded

32100

eighty out of one hundred are shaded

0.80

eighty hundredths

80100

Reading Decimals• Say what you see before the decimal• Say “and” for the decimal• Say what you see after the decimal• Say the place value of the final digit

• To write in words, you write what you say

five hundred eighty

and

5 8 0 . 3 2 4

three hundred twenty-four thousandths

One and

forty-six hundredths

three and forty seven

hundredths

Three and forty seven

thousandths

three and forty seven tenths

Three and forty seven hundred

seventeen thousand eighty

two

seventeenand

eighty-two hundredths

seventeenand

eighty-two tenths

seventeenand

eighty-two thousandths

Additional Information

•1 think of ½ of a dollar… $0.50 2•1 think of splitting a dollar in fourths 4•1 think of 1/5 of 100 5

January 7, 2014“Isn't it nice to think that tomorrow is a

new day with no mistakes in it yet?” ― L.M. Montgomery

POTD

Lia read her new book for 2¾ of an hour on Tuesday. If she read for 1¼ of an hour before lunch, how long did she read for after lunch?

Write 3 as an improper fraction.78

C. 108

A. 318

B. 711

D. 248

Write as a mixed number.346

A. 5 26

B. 4 32

D. 523

C. 613

Homework Review

Comparing Decimals

Using Models• If you are comparing tenths to hundredths, you

can use a tenths grid and a hundredths grid. Here, you can see that 0.4 is greater than 0.36.

The Easy Way

• Line up the numbers vertically by the decimal point.

• Add “0” to fill in any missing spaces.• Compare from left to right.

EX: Compare 43.2 and 43.198

• Compare Sara’s score with Danny’s score.

1. Line Up Decimal Points– Sara: 42.1– Danny: 42.5

2. Start at the left and find the first place where the digits differ. Compare the digits– 1<5 – 42.1<42.5– This means Sara’s score was lower

than Danny’s score.

Sara 42.1

Danny 42.5

Ross 42.0

Bethany

40.7

Jacob 46.1

Half pipe Results

Equivalent Decimals

• Decimals that name the same number are called equivalent decimals.

• 0.60 and 0.6

• Are these the same???

0.60 0.6=

Decimal CardsEach partner will shade their card.

January 8, 2014A journey of a thousand miles begins with a

single step.” – Lao Tzu

POTD

15 friends want to order pizza for dinner. They predict that each person will eat 1/3 of a pizza. How many pizzas should they order? Write as an improper fraction and mixed number.

Write 5 as an improper fraction.1

10

C. 5115

A. 5010

B. 610

D. 5110

Write as a mixed number.235

A. 4 35

B. 5 15

D. 434

C. 425

Homework Review

To add decimals

• Line up the decimal points and add the columns from right to left.

• Place a decimal point in the answer directly below the other decimal points.

Example 10.64 + 0.39

Line up the decimal points.

0.64 + 0.39 __________________________

Add the columns. 0.64

+ 0.39 __________________________

1.03

Adding

Examples:4.55 + 11.3

Put the first number on the top of the second number and line

up the decimals.

4.55 + 11.3

You can add a zero to help

keep everything

lined up0

15.85

When adding or subtracting you

always start from the right and

work left.

6.44 + 16

When there is not a decimal

put onebehind the

number.

Line up the decimal 6.44

+ 16.

Add a zero to line up

everything

22.44

0

Adding to 1

Adding to 1 Continued

January 9, 2014“There will come a time when you believe

everything is finished. That will be the beginning.” – Louis L’Amour

POTD

Tom picked 10 plums from a tree in the garden and ate 3/5 of them before lunch. How many plums did he have left?

Homework Review

Runner’s Log

Venetta and her mother get exercise every morning by going for a walk together. Instead of walking the same amount every day, they decide to have a goal of walking a total of 2 miles every week. In order to keep track they keep a log that looks like this:Monday- 0.5 mileTuesday- 0.6 mileWhat fraction did they walk on Monday? (simplify) What fraction did they walk on Tuesday? (simplify)Did they walk more or less on Tuesday than Monday? Estimate the total distance they walked in those 2 days.

SAB Unit 6 page 52

SAB Unit 6 page 53

January 10, 2014“Take the first step in faith. You don’t have to

see the whole staircase, just take the first step.” – Martin Luther King

POTD

A farmer owns 4 acres of farmland. He grows potatoes on 3/8 of the land. On how many acres of land does the farmer grow potatoes?

Homework Review ODD

Decimal Quiz

Review• Word, standard, model form• Comparing decimals• Writing decimals as fractions• Adding fractions

SAB Unit 6 pages 57-58