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