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Name:_________________________________
Math
Notebook
Teacher:______________________________
L.1 – L.30
Math Notebook Rules:
1. Keep this notebook in your binder when you are
not using it. It has a lot of important
information!
2. Use this Math Notebook to help you with your
homework.
Today’s Topic is: L.1 – Addition • Missing Addends – Part 1
Today’s Date: _______________________
Important Words:
• Addition – combining two groups into one group
• Addends – the numbers that are added.
• Sum – the answer in addition.
• Number Sentence – a complete sentence that
uses numbers and symbols instead of words.
• Commutative Property of Addition – if the
order of the addends is changed, the sum
remains the same.
• Identity Property of Addition – when we add a
zero to a number, the number is not changed.
4 + 3 > addends
7 - sum
Steps:
• Subtract to find a missing addend.
Example:
(1)
P + 6 1 4
1 4 ─ 6
P =
(2)
N + 2 1 0
1 0 ─ 2
N =
Today’s Topic is: L.2 Missing Addends – Part 2
Today’s Date: _______________________
Important Words:
Steps:
1. Add if there are more than 2 addends.
2. Subtract
Example:
Add 5
+ 3 8
5 3
+ W 1 2
8 + W
1 2
12 - 8
W = ___
Today’s Topic is: L.3 Sequences • Digits
Today’s Date: _______________________
Important Words:
1. Sequence ~ a counting pattern.
2. Digits ~ are the numerals 0, 1,
2, 3, 4, 5, 6, 7, 8 and 9.
Steps:
Study a counting sequence to find the rule.
We use digits to write numbers.
Example:
1) Counting Sequence:
Rule: -1
10, 9, 8, 7, ___, ___, ___
2) How many digits?
a. 5,280 - ___ digits
b. 18 - ___ digits
c. 1,567,890 - ___ digits
Today’s Topic is: L.4 Place Value
Today’s Date: _______________________
Important Words:
Place Value – The value of a digit based on
its position in a number.
Steps:
Hundreds Tens Ones
3 1 5
The digit 3 is in what place? __________
Example:
To show $315, we use:
3 hundreds 1 ten 5 ones
Today’s Topic is: L.5 Ordinal Numbers • Months of the Year
Today’s Date: _______________________
Important Words:
Ordinal Numbers – Numbers that tell
position.
Steps:
• Draw a diagram and label it to find a
person’s position in line.
Example:
Sam is 2nd in line. Joe is 5th in line. How
many children are between them?
Sam Joe
2nd 5th
_____ children
Date:
Month / day / year
7 / 8 / 89
____________ ___ , ________
___ / ___ / ______
May 16, 2002
Today’s Topic is: L.6 Subtraction • Fact Families
Today’s Date: _______________________
Important Words:
6 - 2
4 - difference
Steps:
6 - 2
4
4 + 2
6
Check subtraction by adding up.
Example:
A fact family is a group of 3 numbers that can form 4 facts.
3, 5 and 8
___ + ___
8
___ + ___
8
___ – ___
3
___ – ___
5
Today’s Topic is: L.7 Writing Numbers Through 999
Today’s Date: _______________________
Important Words:
Whole Numbers – 0, 1, 2, 3, 4, 5, …
*(Counting numbers and zero.)
Steps:
Use a hyphen when writing the names of:
• two-digit numbers
• that are greater than 20
• and do not end in 0.
Example:
a) 93 ________ - ________
b) 543 _______ hundred forty- __________
c) 18 ____________
d)
100 + 20 + 3 =
* Do not use the word ‘and’ when writing whole numbers.
*(no ‘u’)
Today’s Topic is: L.8 Adding Money
Today’s Date: _______________________
Important Words:
Steps:
1. Line digits up correctly.
2. Add the digits in the ones place.
3. Add the digits in the tens place.
4. Include the dollar sign in the answer.
Example:
(1) Add $32 + $7
$ 3 2
+ $ 7
$ 3 9
(2) Add $53 + $4
Today’s Topic is: L.9 Adding with Regrouping
Today’s Date: _______________________
Important Words:
Steps:
1. Add the digits in the ones place.
2. Carry over to the tens place if needed.
Example:
(1)
$ 3 6
+ $ 2 9
$ __ __
(2)
$ 5 7
+ $ 1 3
$ __ __
Today’s Topic is: L.10 Even and Odd Numbers
Today’s Date: _______________________
Important Words:
Even numbers – numbers that can be
_________ by 2 without a _______
(0,2,4,6,8,10…)
Odd numbers – numbers that have a
_________of 1 when divided by 2
(1,3,5,7,9,11…)
Steps:
Even numbers end with: 0, 2, 4, 6 or 8
Odd numbers end with: 1, 3, 5, 7 or 9
Example:
(1) Write “odd” or “even”:
a) 563
_______
b) 328
________
c) 0
________
(2) Can 48 be divided equally into 2 groups?
Yes, because it is an ________ number and ________ can be divided by ___
without a remainder.
(3) List the five three-digit odd numbers that have a 7 in the hundreds place and a 5 in the
tens place.
7 5 ___
7 5 ___
7 5 ___
7 5 ___
7 5 ___
Today’s Topic is: Inv. 1 – Number Lines
Today’s Date: _______________________
Important words:
A ______: continues in opposite directions
without end.
The arrowheads show that the line
___________.
________________: is a part of a line.
Steps:
To make a number line:
1. ______ a line.
2. ____________ at equal distances
apart.
3. _______ the marks with numbers.
Example:
Negative Numbers Positive Numbers
-5 -4 -3 -2 -1 0 1 2 3 4 5
*Numbers to the _______ are greater than numbers to the ________ on the number line.
a) −3 < −2 (The symbol points to the smaller number.)
• Negative _________ is less than negative _______.
b) 3 > 2
• ________ is greater than ________.
Today’s Topic is: L.11 – Addition Stories with Missing Addends
Today’s Date: _______________________
(Solve story problems with missing addends just like arithmetic problems ~ subtract)
Important Words:
Pattern:
Some
+ Some More > addends
Total (sum)
Steps:
1. Put the numbers into the pattern.
2. ____________ to find the missing
addend.
Example:
(1) Max had 5 marbles.(some) Tom gave him
some more.(missing addend) Max has 12
marbles(Total) now. How many marbles did
Tom give max?
5 marbles + N marbles
12 marbles
__ __ marbles ─ __ marbles
___ marbles
(2) Sue picked some(N) flowers on Monday.
She picked 6 more.(some more) flowers on
Tuesday. Now Sue has 10 flowers.(Total)
How many flowers did Sue pick on
Monday?
N flowers + 6 flowers 10 flowers
__ __ flowers ─ __ flowers
___ flowers
Check: __ flowers
+ __ flowers ___ ___ flowers
Today’s Topic is: L.12 Missing Numbers in Subtraction
Today’s Date: _______________________
Important Words:
B ─ 5
Add Up
7 7 + 5 = 12
Steps:
• If the missing number is first in a
subtraction problem ~ __________!
Example:
(1)
1 4 ─ N
6
__ __ ─ __
___
N = ___
(2) Add Up!
N ─ 8
6
___ + ___
__ __
N = ___
Today’s Topic is: L. 13 Adding Three-Digit Numbers
Today’s Date: _______________________
Important Words:
Steps:
1. Add the digits in the ones column..
2. Keep moving one column at a time to the
left.
3. Remember to carry over if needed.
Example:
4 5 6
+ 3 7 4
__ __ __
Today’s Topic is: L.14 Missing Two-Digit Addends
Today’s Date: _______________________
Important words:
Subtract 123 from 365.
• This means to start with 365 and
subtract 123.
__ __ __
─ __ __ __
__ __ __
Steps:
____________ to find missing two-
digit addends.
Example:
2 4
+ Q 6 5
__ __
─ __ __ __ __
Q = _____
First subtract ones.
Then subtract tens.
Today’s Topic is: L. 15 Subtracting Two-Digit Numbers with Regrouping
Today’s Date: _______________________
Important Words:
Regrouping – borrowing
________ - the answer
in a subtraction
problem.
Steps:
1. Write the __________ number on
top.
2. Borrow if needed -
Zap it
Shrink it
Give yourself a point
Example:
5 6
─ 2 9
__ __
6 is less than 9 ~ borrow!
Today’s Topic is: L.16 Expanded Form • Missing Numbers in Subtraction
Today’s Date: _______________________
Important Words:
Expanded form – a way of writing a number
that shows the value of each digit.
Steps:
The number 365 means “3 hundreds, 6 tens
and 5 ones”.
We can write this as
_____ + ____ + ___
Example:
Missing Numbers in Subtraction
Subtract
5 6 ─ W
1 4
__ __ ─ __
__ __
W = ___
Add Up
N ─ 3 6
4 3
__ __ + ___
__ __
N = ___
Today’s Topic is: L.17 Adding Columns of Numbers with Regrouping
Today’s Date: _______________________
Important Words:
Steps:
1. Line up the numbers ______________.
2. Add the digits in the ________ column.
3. Keep moving one column at a time to the
________.
4. Carry over when needed.
Example:
4 7 2 9 4 6
+ 9 5 __ __ __
Today’s Topic is: L.18 Reading Scales
Today’s Date: _______________________
Important Words:
Scale: a type of number line used for
measuring.
Fahrenheit: (F)
Celsius: (C)
Steps:
1. Figure out the distance between
the marks on the scale.
2. Find the values of all the marks.
3. On many thermometers, the
distance between the tick marks
is two degrees.
Example:
Thermometer
What temperature is
shown by the
thermometer?
____ C
—4˚C Water freezes at
___C and ____F.
Water boils at
_____C and _____F
Speedometer
• Shows speed in miles per hour (mph).
The needle points to _____ mph.
Today’s Topic is: L.19 Reading Time
Today’s Date: _______________________
Important Words:
Minute hand - _________ hand
Hour hand - __________ hand
Steps:
a.m. ~ for the 12 hours __________ noon.
p.m. ~ for the 12 hours __________ noon.
noon = 12:00 p.m.
midnight = 12:00 a.m.
Example:
____ seconds = 1 minute
60 minutes = ___ hour
____ hours = 1 day
____ minutes = half an hour
____ minutes = a quarter of an hour
6:15 ~ quarter _________ six
3:45 ~ quarter ______ four
Today’s Topic is: L.20 Rounding to the Nearest Ten and to the Nearest Dollar
Today’s Date: _______________________
Rounding to the Nearest Ten
• Rounded numbers usually end with a
________.
• Choose the closest number that ends
in zero that we say when we count by
tens.
Rounding to the Nearest Dollar
• Round up if the number of cents is
50₵ or more.
• Do not include a decimal point or
cents.
Example:
Round 82 to the nearest ten.
70 80 82 85 90
82 is closer to ____ than ____, so we round
82 to ____.
(If the number is halfway – round up – 85 is
rounded to 90.)
Round to the Nearest Dollar.
$6.49 = $_____
$12.95 = $_____
$19.75 = $_____
Today’s Topic is: Inv.2 Units of Length and Perimeter
Today’s Date: _______________________
U.S. Customary Units of Length
Abbreviations Equivalents
inch in. 12 in. = ___ ft
foot ft 3 ft = ___ yd
yard yd 36 in. = ___ yd
mile mi 5280 ft = ___ mi
Metric Units of Length
Abbreviations Equivalents
millimeter mm 10 mm = ___ cm
centimeter cm 1000 mm = ___ m
meter m 100 cm = ___ m
kilometer km 1000 m = ___ km
Perimeter
The distance around a shape is its perimeter. To find the perimeter
of a shape, _____ _______ the lengths of all the sides.
2 cm
3 cm
___ + ___ + ___ + ___ = 10 𝑐𝑚
Today’s Topic is: L. 21 Triangles, Rectangles, Squares and Circles
Today’s Date: _______________________
Triangles
To draw a triangle with sides all the same
length – do not start with a square corner.
square
corner
This side is longer.
A triangle with sides the
same length looks like
this.
Steps:
Rectangles: 4 sides and square corners
Square
A square is a special
kind of rectangle
whose sides are the
same length.
Example:
Circles
Radius: the distance from the center of a circle to the circle.
Diameter: the distance across the circle through the center.
2 cm radius
diameter
___ cm
Today’s Topic is: L. 22 Naming Fractions • Adding Dollars and Cents
Today’s Date: _______________________
Important Words:
1
___________ - tells how many
parts are being counted.
3 ___________ - tells how many
parts are in the whole
Fractions of a Dollar
• 100 pennies equal 1 dollar, so 1 penny is 1
______ of a dollar.
• 20 nickels equal 1 dollar, so 1 nickel is
1
______
of a dollar.
• 10 dimes equal 1 dollar, so 1 dime is
1
______ of
a dollar.
• 4 quarters equal 1 dollar, so 1 quarter is
1
______ of a dollar.
Adding Dollars and Cents
The decimal point separates dollars from cents.
$ 3 . 5 6 + $ 2 . 7 5 $__ .__ __
Regroup when the total in any column is ten or more.
Add pennies (1)
Add dollars (3)
Add dimes (2)
Line up the decimal points
Today’s Topic is: L. 23 Lines, Segments, Rays and Angles
Today’s Date: _______________________
Lines and Segments
A - goes on and on
- Use arrowheads
A line - is part of a line
- Can use endpoints
A - begins at a point and continues
without end in one direction.
Steps:
lines or segments - Go in the same
direction and stay the same
distance apart.
lines/segments – cross each other.
lines/segments – form square corners
Angles
Angles are formed where lines/segments meet or begin.
Vertex is the corner.
_________ angle
(forms a square corner)
_________ angle
(smaller than a right angle)
_________ angle
(larger than a right angle)
Today’s Topic is: L. 24 More about Missing Numbers in Addition and Subtraction
Today’s Date: _______________________
Important Words:
Fact Family – A group of 3 numbers related
by +, −,×, 𝑜𝑟 ÷
Steps:
1. The biggest number is last in
____________.
2. The biggest number is first in
____________.
Example:
𝑁 + 5 = 14
___ +___
1 4
5 +__N
1 4
1 4 ─__5
N
__ __ ─_ __
5
1 4 ─__5
shows us how to find N.
N = ____
Today’s Topic is: L. 25 Subtraction Stories
Today’s Date: _______________________
Important Words:
Some
─ Some went away
What is left
Steps:
(1) Read the problem.
(2) Write the numbers.
(3) Find the missing number.
Example:
Sam had 42 marbles. He lost some
marbles. He has 29 marbles left. How
many did he lose?
4 2
─ N 2 9
__ __
─ __ __ __ __
Check __ __
─ __ __ __ __
Today’s Topic is: L. 26 Drawing Pictures of Fractions
Today’s Date: _______________________
Important Words:
____________: A number that names
part of a whole.
Steps:
1. ________ the shape.
2. __________ the shape into equal
parts.
3. _________ the parts.
Example:
Draw a circle and shade two thirds of it.
NO
The parts are _____
equal.
Yes
Today’s Topic is: L. 27 Multiplication as Repeated Addition • Elapsed Time
Today’s Date: _______________________
Important Words:
′ × ′ - multiplication sign
Steps:
Change this addition problem to a
multiplication problem.
6 + 6 + 6 + 6 + 6
We see five 6’s.
___ × ___ or ___ × ___
__ __
Example:
Elapsed time: the amount of time between two different clocks.
1. First, count forward or backward the number of minutes.
2. Then, count forward or backward the number of hours.
Today’s Topic is: L. 28 Multiplication Table
Today’s Date: _______________________
Important Words:
~ changing the
order of factors does not change the
product.
~ the product of zero and any
number is 0.
~ the product of 1 and any
other factor is the other factor.
Steps:
Multiplication Table
3 × 4 = _____
1. Find the row that begins with 3.
2. Find the column that begins with 4.
3. Look for the number where the row
and column meet.
Example:
1. Commutative Property of Multiplication
1 × 2 = 2 × 1
2 = 2
2. Zero Property of Multiplication
0 × 25 = 0
3. Identity Property of Multiplication
1 × 25 = 25
Today’s Topic is: L. 29 Multiplication Facts (0, 1, 2 and 5’s)
Today’s Date: _______________________
Important Words:
Steps:
1. Zero times any number = ________.
2. One times any number equals ______
__________.
3. Two times any number, _______the
number.
4. Five times any number equals a number
that ends in ___ or in ___.
Example:
Practice the facts on Facts Practice Test C.
Today’s Topic is: L. 30 Subtracting Three-Digit Numbers with Regrouping
Today’s Date: _______________________
Important Words:
Steps:
1. Write the bigger number on top.
2. Line up the last digits.
3. Regroup as needed.
Example:
(1) Subtract
$ 4. 1 0 ─ $ 1. 1 2
(2) Find the difference:
$365 − $187