Addition up to 9

NUMBERS AND OPERATIONS

FIRST GRADE

The addition is the mathematical composition operation that consists of combining, joining or adding two or more numbers to obtain a final or total quantity.

In the additive expression, four fundamental properties are always satisfied:

1) Commutative property:

A modification in the order of its elements (addends) will not modify the result; for example: 3 + 2 = 2 + 3

2) Associative property:

When three or more numbers are added, the order of the addends does not influence the result; for example: 4 + (2 + 1) = (4 + 2) + 1

3) Property of the neutral element (or identity element):

Any number added to the number zero (0) will result in the same number; for example: 5 + 0 = 5

4) Distributive property (combines multiplication and addition):

The result of the sum of two numbers (A and B) multiplied by a third number (C) will be equivalent to the sum of their products (A x C + B x C); for example: 2 x (4 + 3) = 2 x 4 + 2 x 3

Get started with addition by understanding both the process of adding and counting forward on the number line

FIRST GRADE

We are going to learn to solve sums with the natural numbers from 0 to 9 using as strategies the counting of units and the grouping of the elements in a single set. Also, enjoy the explanations that accompany the video that we propose.

SPANISH

video explicacion matematicas

ENGLISH

video explicacion matematicas

To understand correctly what a sum is, we provide you with educational worksheets where you have to count the number of elements in each set and check the result obtained when we group them:

Therefore, we can say that "add" consists of joining or uniting the elements of various sets to form a single set.

Interpret the meaning of the addition signs (+ e =) with natural numbers up to 9

FIRST GRADE

What do the symbols "+" and "=" mean in a sum?

- The symbol "+" is read "plus", "and" or "added to" and is always inserted between the elements that we have to add.

Example: The addition sentence 4 + 2 is read "four plus two"

- The symbol "=" is read "equals", "equal", "is" or "are" and represents the result that we obtain after joining, joining or grouping the elements of two sets in a single set.

Example: The solved sum 4 + 2 = 6 is read "four plus two equals six"

SPANISH

video explicacion matematicas

ENGLISH

video explicacion matematicas

We present you some files in PDF format where you have to count the elements of each set and group them by demonstrating the equivalency between adding objects or adding numbers directly:

Know the elements of addition and their position with natural numbers up to 9

FIRST GRADE

What are the "addends" and the "result" in a sum?

Once we have recognized and interpreted the meaning of the mathematical symbols "+" and "=", we will explain in detail what the addition terms are:

- Addends: They represent each of the figures or numbers that we are going to add, that is, they correspond to the sets that we will join, combine and / or group.

- Result or Sum: Symbolizes the figure or number resulting from the sum. It corresponds to the unique set formed by joining, combining and / or grouping the quantities of the addends.

SPANISH

video explicacion matematicas

ENGLISH

video explicacion matematicas
TERMS OF ADDITION - ADDENDS AND SUM

Properly place the terms of the addition in natural numbers up to 9

FIRST GRADE

Next you will learn to construct vertical sums by placing the symbols "+" and "=" and each of their terms (addends and result) in the corresponding place, practicing with the different printable educational worksheets that we have developed.

SPANISH

video explicacion matematicas

ENGLISH

video explicacion matematicas

Adding numbers vertically (with the help of the number line) with numbers up to 9

FIRST GRADE

Practice the addition without carrying (or without regrouping) vertically (in columns) with the numbers from 0 to 9 using the number line from the exercises that we have expressly developed for you.

SPANISH

video explicacion matematicas

ENGLISH

video explicacion matematicas
EXEMPLE VERTICAL ADDITION SOLVED

Adding numbers vertically (without the help of the number line) with numbers up to 9

FIRST GRADE

We provide you with a series of exercises so that you can continue practicing addition without regrouping vertically with the natural numbers from 0 to 9... Remember that you can help by counting with your fingers!

SPANISH

video explicacion matematicas

ENGLISH

video explicacion matematicas
EXEMPLE BASIC VERTICAL ADDITION SOLVED

Adding numbers horizontally (with the help of the number line) with numbers up to 9

FIRST GRADE

Learn to solve horizontal sums without regrouping with whole numbers from 0 to 9 with our didactic exercises starting from the largest number and then jumping upwards on a number line (either real or imaginary).

SPANISH

video explicacion matematicas

ENGLISH

video explicacion matematicas

Adding three addends vertically (with the help of the number line) with numbers up to 9

FIRST GRADE

How do you solve the sums of 3 or more numbers?

EXEMPLE ADDITION WITH 3 ADDENDS

We explain step by step how to perform the calculations and how to find the result easily in the sums with three addends:

1) We will align the numbers according to the place value of their figures, in this case, we will align the units with the units.

2) We will select a pair of numbers and add them together (for example: 3 + 4 = 7) and, to the result, we will add the missing figure (7 + 2 = 9).

EXAMPLE VERTICAL AND HORIZONTAL ADDITION 3 ADDENDS

Recognize that two addends can be added in any order up to 9

FIRST GRADE

Do you know what the Commutative Property of Addition is?

The Commutative Property of Addition is that universal mathematical law that states that "even if we change the order in which the addends are added, the result is always the same".

SPANISH

video explicacion matematicas

ENGLISH

video explicacion matematicas
EXEMPLE COMMUTATIVE PROPERTY OF ADDITION

Recognize that three addends can be added in any order up to 9

FIRST GRADE

Do you know what the Associative Property of the Addition is?

The Associative Property of addition is that universal mathematical law that tells us that "if we add three or more numbers, the result will always be the same regardless of the order in which we group the addends".

SPANISH

video explicacion matematicas

ENGLISH

video explicacion matematicas
EXEMPLE ASSOCIATIVE PROPERTY OF ADDITION

Mentally solve simple addition facts with natural numbers up to 9

FIRST GRADE

Show your logical-mathematical skills by solving our exercises with hidden or missing whole numbers and using mental calculation (also known as "mental math").

SPANISH

video explicacion matematicas

ENGLISH

video explicacion matematicas

Solve addition word problems without regrouping with natural numbers up to 9

FIRST GRADE

Do you know how to solve an addition word problem easily?

SPANISH

video explicacion matematicas

ENGLISH

video explicacion matematicas

We explain step by step how to solve any word problem using addition:

1) Read the math problem very well (as many times as you need) until you make sure that you have understood it correctly.

2) Interpret what the problem asks of us, that is, understand where we want to go and what we want to achieve.

3) Identify, circle and / or underline the data of the problem and the question that it proposes to us (if there is one).

4) Decide how to use the data of the problem and which operation (or operations) will be the most appropriate to solve it (in this case, the sum).

5) Solve the operation (or operations) of addition and review the calculations to check the result again (auto-correction).

Let's color!

We have selected dozens of Pinterest activities for you to practice coloring the basic addition and subtraction facts.

Open your case, take out the colored pencils and show the great artist in you!

Do you want access to more First Grade learning?

Select more exercises, worksheets and activities of Mathematics for each of the 4 learning blocks of the Educational Curriculum ("Numbers and Operations", "Quantities and Measurements", "Geometric and Spatial Reasoning" and "Data Analysis and Probability") aimed at improving the logical-mathematical competencies and skills that are developed throughout "Grade 1" or "Year 2":

NUMBERS AND OPERATIONS
FIRST GRADE
QUANTITIES AND MEASUREMENTS
FIRST GRADE
GEOMETRIC AND SPATIAL REASONING
FIRST GRADE
DATA ANALYSIS AND PROBABILITY
FIRST GRADE

A good education not only has to teach how to read, but what is worth reading

Baruch Spinoza