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