Name: _______________________________________ Due Date: ________________________

•Periods- Numbers are in groups of three places

•Places within the periods repeat (hundreds, tens, ones).

•Commas are used to separate the periods.

3 WAYS TO

WRITE A NUMBER

• Standard Form- the number written using digits that

represent their value (Ex. 435)

• Expanded Form- the number written where each digit’s

value is shown (Ex. 400 + 30 + 5)

• Written (Word) Form- the number written using words

(Ex. four hundred thirty five)

•Rounding is an estimation strategy.

•Rounding on a number line- When given a number to round, locate

it on the number line. Next, determine the multiple of ten, hundred, or

thousand it is between. Then identify to which it is closer.

•ROUNDING

•COMPARING NUMBERS

•Line up the numbers by place value by lining up the ones.

•Beginning at the left, find the first place value where the

digits are different.

•Compare the digits in this place value to determine which

number is greater (or which is less).

•Use the appropriate symbol > or < or the words greater

than or less than to compare the numbers in the order in

which they are presented.

•If both numbers are the same, use the symbol = or the

words equal to.

DIGIT PLACE VALUE

6

8

4

5

3

2

Directions: Fill in the blanks with the correct value of each digit.

ones

tens

hundreds

thousands

Identify the place value for each digit in 864,253.

ten thousands

hundred thousands

Forty two thousand, six STANDARD

FORM

EXPANDED

FORM

WRITTEN

FORM

Directions: Write to complete the charts below.

3,984 ROUND TO THE

NEAREST TEN

ROUND TO THE

NEAREST HUNDRED

ROUND TO THE

NEAREST

THOUSAND

FYI…

Name: _______________________________________ Due Date: ________________________

• INVERSE, or opposite,

OPERATIONS

• Addition and

subtraction

• Multiplication and

division

What number belongs in the box to make this number sentence true?

÷ 8=9

What number belongs in the box to make this number sentence true?

26=12 +

Create a number sentence related to 42 ÷ 7=6.

42= 6

Directions: Circle the sign and digit that should go in the boxes to complete the related fact.

• Commutative Property (Order

Property)-

• ADDITION- changing the

order of the addends does

not change the sum (e.g.,

4 + 8 = 8 + 4).

• MULTIPLICATION-

changing the order of the

factors does not change

the product (e.g., 2 7 = 7

2).

• Identity Property-

• ADDITION- if zero is

added to a given number,

the sum is the remains the

same as the given number

(e.g., 0 +27= 27, or

45+0=45).

• MULTIPLICATION- if a

given number is multiplied

by one, the product is the

same as the given

number. (e.g., 1 x 5= 5 or

29 x 1= 29)

Which of these belongs in the box to show the use of the commutative property of addition? = 26 + 3 A. 3 + 26 B. 26 +0 C. 3 x 26 D. 26 x 1

Which of these belongs in the box to show the use of the commutative property of multiplication? 8 x 4= A. 32 B. 4 + 8 C. 4 x 8 D. 4 x 1

Look at the counters below. What geometric property is shown? A. Identity property of addition B. Identity property of multiplication C. Commutative property of addition D. Commutative property of

multiplication

Look at the counters below. What geometric property is shown? A. Identity property of addition B. Identity property of multiplication C. Commutative property of addition D. Commutative property of

multiplication

= 0 + =

FYI…

FYI…

Name: _______________________________________ Due Date: ________________________

• Fraction- part of a whole or part of a group; parts

must be equal sized.

• Denominator- the amount of

equal parts are in the whole

or set.

• Numerator- the part of the

whole or shaded part that is being

investigated.

• Proper Fraction- a fraction whose

numerator is less than the denominator;

is always less than one.

• Improper Fraction- a fraction whose

numerator is greater than or equal

to the denominator; is equal to or

greater than one; can also be written

as a mixed number

• Mixed number-. a fraction greater

than one whole; written as a whole

number and a proper fraction.

TIPS FOR COMPARING FRACTIONS

• Which fraction has larger pieces? Which has

smaller pieces? The larger the denominator, the

smaller the pieces.

• Which is close to ½? Which is closer to 1 whole

(how close is the numerator to the denominator?)?

• Which is farthest on the number line?

ADDING FRACTIONS WITH LIKE DENOMINATORS

• If the denominators are both the same (in the same

family; fifths, thirds, etc.), the denominator will not

change.

____

____

Directions: Write to compare these fractions using <, >, or =

Name of the mixed number

Name of the mixed number

Directions: Write the name of the fraction represented below.

This model is shaded to represent one whole.

These two models are each shaded to represent a fraction. What is the difference of these 2 fractions?

Directions: Write the name of the fraction below.

FYI…

Directions: Write the name of the fraction represented below.

Name: _______________________________________ Due Date: ________________________

STRATEGIES FOR

COUNTING MONEY

AND MAKING

CHANGE

• Counting on

• Using coins and

bills, starting with

the amount to be

paid (purchase

price), counting

forward to the next

dollar, and then

counting forward by

dollar bills to reach

the amount from

which to make

change

• Mentally calculating

the difference.

FYI…

FYI…

ADD!

S U B T R A C T !

• Jan took the pictured

coins and bills to the

store to purchase 2

pencils and 5 erasers

which totaled $1.89.

How much change

did she receive from

the cashier?

Nathan has 2 dollars and 3 pennies. He

buys 4 pens at the school store.

Altogether, he spends $0.58. How much

money does he have left?

• Starting Amount: ____________

• Amount Spent: _____________

• Remaining

Amount (Change): __________

Michael received the

picture coins and bills

back after purchasing 5

small items at the grocery

store. If he first had $5.00,

how much did the 5 items

cost?

Joe has $3.75. He spends $2.48 to buy 2

packs of pencils from the school store.

How much money does he have left?

• Starting Amount: ____________

• Amount Spent: _____________

• Remaining

Amount (Change): _______

Leta’s mother drove for 4

hours to visit her friend. She

drove 40 miles each hour.

How many miles did Leta’s

mother travel to her friend’s

house?

April had 234 marbles. She

sold 120 marbles to her

friend Kristyn. Then she

bought58 special edition

marbles from friend

Ashley. How many total

marbles did April have?

8, 245-+ 2,199=? 8,000-2,934=?

Miss Jones loves Chipotle!

She always gets a chicken

bowl with rice. In her rice

bowl, there are 600 little

grains of rice. She ate some

rice, and boy was it good!

Now there are 58 grains of

rice left. How many grains of

rice did she eat?

At our school, there are 126

3rd graders, 101 4th graders,

and 86 5th graders. About

how many students are in

grades 3-5?

Directions: Use scratch paper to solve the problems below. Write the answers in the boxes.

Name: _______________________________________ Due Date: ________________________

•Multiplication is a shortcut for repeated addition

Division is a shortcut for repeated subtraction.

WAYS TO REPRESENT MULTIPLICATION AND

DIVISION

BASE-10 BLOCKS

AREA MODEL

(Uses squares or

rectangles arranged in

rows and columns)

NUMER LINE MODEL

(Uses skip counting and

jumps to represent

multiplication and division)

*Arrows move forward

with multiplication

*Arrows move backwards

with division

SET MODEL (Uses groups of

counters or objects)

MULTIPLICATION

ALGORITHM

4 x3= 12 12 ÷ 3= 4

74

X 3

42

X 8

Directions: Write the fact that is represented by the models below.

Directions: Write the products below.

Which number sentence best represents this set model? A. 9 -3 B. 9 ÷ 3 C. 3 + 3 D. 9 x 3

What number sentence is

represented by this area

model?

____ x ______= _____

Which of the statements below can

be proven with the shaded area of

the figure shown?

A. 8 x 8= 64 B. 4 +6= 10 C. 64 ÷ 8= 8 D. 4 x 6= 24

What number sentence is

represented by this number line

model?

______ x ______= _____

FYI…

Name: _______________________________________ Due Date: ________________________

FYI…

US CUSTOMARY SYSTEM

METRIC SYSTEM

Length Inch, foot, yard

Liquid

Volume

Cup, pint,

quart, gallon

Weight/Mass Ounce, pound

Length Centimeter,

meter

Liquid

Volume

liter

Weight/Mass Gram, kilogram

gallon

quart

pint

c

u

p

pound

ounce

kilogram

gram

quart

liter

Use a ruler to measure the line shown

to the nearest half inch.

_________ in.

Use a ruler to measure the line shown to

the nearest centimeter.

______ cm.

What is the liquid volume of this

container?

__________ cups

Based on the photo, about how many

pounds does the fruit weigh?

__ ________ pounds

Which unit of measure would be best

to determine the length of a 3rd grade

classroom?

A. Inches

B. Centimeters

C. Feet

D. yards

Which unit of measure would be best to

determine the amount of juice to pack for

lunch for a 3rd grader?

A. Gallon

B. Quart

C. Liter

D. Pint

E. cup

Use a ruler to measure the line

segment shown to the nearest half

inch.

_________ in.

Use a ruler to measure the line segment

shown to the nearest centimeter.

______ cm.

Which amounts of weight could best

replace the question mark to make this

photo true?

A. 27 kg

B. 30 kg

C. 5 kg

D. 12 kg

E. 40 kg

Which unit of measure completes this

statement?

___________ > 2 pints

A. 2 cups

B. 1 pint

C. 3 cups

D. 2 quarts

48 kg

21 kg ?

Name: _______________________________________ Due Date: ________________________

• Perimeter – the distance around any

two-dimensional figure; found by

adding the measures of the sides.

• Area -measured in square units; the

number of square units needed to

cover a figure

• Polygon- a closed plane figure with at

least three line segments that do not

cross. None of the sides are curved.

• Repeating Pattern- a pattern that repeats;

identify the basic unit of the pattern and repeat

• (Ex. A B B A B B A B B)

• Growing patterns- a pattern that has a rule

that must be determined and generalized in

order to continue the pattern

• (Ex. 2, 4, 8, 16, 32) • Geometric pattern- a repeating or growing

pattern that uses geometric figures that may

have been rotated or flipped

• (Ex. )

• Numeric pattern- a repeating or growing

pattern that uses numerals and basic

operations

• (Ex. 20, 18, 16, 14, 12)

FYI…

FYI…

2 cm

1 cm

5

4

2

1 2

4

Perimeter: 18 units

Perimeter: 5 cm

Perimeter: 13 units

1 2 3

4 5 6

7 8 9

10 11

12 13

Use an inch ruler to calculate the perimeter

of this polygon. Which is closest to the perimeter

of this painting?

A. 2 meters

B. 4 meters

C. 6 meters

D. 8 meters

What is the area and perimeter of

this polygon?

A. Area = 22 square units,

Perimeter= 17 square units

B. Area = 16 square units,

Perimeter= 22 square units

C. Area = 15 square units,

Perimeter= 22 square units

C. Area = 17 square units,

Perimeter= 22 square units

Use a centimeter rule to calculate

the perimeter of this polygon.

Look at the table below. What is the

rule?

A. Multiply 4

B. Multiply 2

C. Add 6

D. Add 0

Look at the pattern of letters below.

Which part below should be placed

in the missing blanks?

A. L R B A

B. A R L B

C. A B R L

D. R L B A

What numbers should replace the

blanks in the pattern?

3, 9, ___, 81, ______, 729

A. 15, 243

B. 12, 243

C. 27, 243

A R L B A R L B A __ _ __ _ R L B IN OUT

0 0

2 8

3 12

Name: _______________________________________ Due Date: ________________________

• Elapsed Time- the amount of time

that has passed between two given

times; can be found by counting on

from the beginning time to the finishing

time.

EQUAL TIME PERIODS

• METRIC SYSTEM-

Celsius (C)

• US CUSTOMARY-

Fahrenheit (F)

TIPS FOR READING

THEMOMETERS

1. Determine if the

thermometer is counting by

1s, 2s, 5s, or 10s

2. Label the tick marks on the

thermometer based what

interval (1s, 2s, 5s, or 10s)

it counts by

FYI…

FYI… Shade to show

55F.

Shade to show

42 F.

What

temperature is

shown?

_____C

What

temperature is

shown?

__ ___C

80 70 60 50 40 30 20 10 0 -10

60 seconds 1 minute

60 minutes 1 hour

24 hours 1 day

7 days 1 week

About 30 days 1 month

12 months 1 year

365 days 1 year

Write the time shown on the

clock. What time is closest

to the time shown on

the clock?

A. 11:03

B. 11:14

C. 2:11

D. 2:56

Draw the hands on

the clock to show

4: 47.

Jillian went to get her hair

done on Saturday. She was

there for 3 hours and left at

4:25pm. What time did she

arrive at the hair salon?

Look at the clock. What time

will it be in 3 hours?

Jalen gets to school at

8:30am every day. He eats

lunch at 12:45pm and goes

home at 3:30pm. How long is

he in school each day?

If the date is January 2, what

will be the date in 1 week?

How many months are in 9

years?

Jerry has lived in

Virginia for 5 years.

How many months

has he lived here?

• Formed by

2 congruent

c circles and

joined by a curved

surface

Solid,

pointed

figure with a

flat, round, face that

has a sharp point

1 square face

and 4 triangular faces

an exact

location

in space

a collection of

points going

on and on in

both directions

a part of a

line that

continues

only in one

direction

a part of a

line; has 2

endpoints

formed by

two rays

having a

common

endpoint

Congruent same size AND same shape

Noncongruent NOT the same size and not same shape

Name: _______________________________________ Due Date: ________________________

FYI…

I have exactly 4 sides.

I have exactly 4 vertices.

I have 6 square faces.

I have 8 vertices.

I have 12 edges.

I have 1 square face.

I have 4 triangular faces.

I have 6 rectangular faces.

I am a solid figure that is

perfectly round

I am a solid that is formed

by 2 circles and joined

together by a curved

surface.

I have 1 circle and 1

curved surface. My curved

surface bends to make a

sharp point. I don’t have

edges.

Directions: Write the name of the plane or solid figure in the chart.

Directions: Label the pairs of figures as (C) for congruent or (N) for noncongruent.

Name: _______________________________________ Due Date: ________________________

• Probability- the chance of an event occurring.

The probability of an event occurring is

represented by a ratio between 0 and 1.

• Outcomes- the possibilities of the event

happening

PROBABILITY TERMS

FYI…

FYI…

Certain Definite

Likely Probably will happen, but may not

Equally Likely or

As Likely As

50/50 chance that it will happen

Unlikely Probably won’t happen, but it may

Impossible Definitely will NOT happen

What is the probability of

landing on red if using the

spinner below?

A. Likely

B. Unlikely, but possible

C. Certain

D. Equally likely as

spinning yellow

This chart shows the shape

and color choices for

stickers.

Which shows all of the

possible outcomes using

one shape and one color

for stickers?

Complete the chart based

on the spinner below.

Outcome Probability

Landing

on 5

Landing

on 1

Landing

on 0

•Graphs represent an answer to a question.

GRAPHS TO KNOW

• BAR GRAPH (Usually in intervals of 1s,

2s, 5s, or 10s)

• PICTURE GRAPH (Pictograph; uses

symbols to represent the data)

• LINE PLOT (Represents numerical data

on a number line)

Look at the chart below. Use it to add the missing

information to the graph below.

Look at the chart below. Use it to add the missing information to the graph below.

Which choices had 8 or less votes?

A. Orange

B. Yellow

C. Red

D. Purple

Kelly, Jordan, Heaven, and Steve are having

a conversation about their favorite dessert,

right after they voted. They all like the same

thing. What dessert do they probably like?

Create a line plot based on the data from Mrs. Hanson’s recent quiz that was

given to her students.

2, 10, 0, 9, 9, 6, 8, 9, 3, 2, 1, 10

Students’ Favorite Juices

Orange 8 students

Purple 6 students

Red 2 students

Yellow 10 students

Favorite Desserts

Cookies 4 votes

Brownies 3 votes

Fudge Cake 2 votes

Banana Split 8 votes

2 students

X represents 1 student

0 1 2 3 4 5 6 7 8 9 10