Algebra1 is the basic algebra, or algebra learned in high school, till grade eight. Algebra is the study of unknown quantities which keep on changing. Algebra1 is the introduction to these changing quantities or variables around us.


There are hundreds of changing quantities (variables) around us. For example; temperature during the day keep on changing, our weight changes on a daily basis and the share prices on an exchange market keep on changing.


In mathematics, the changing quantities are called the variables or unknowns. Variables are represented using the letters (mainly lower case letters) from the alphabet. Algebra is all about the study of these variables.


This site can help you to understand algebra1, so that you can better focus on different sections of this math topic.


Main topics for algebra1 and covered in this site are given below:

1. Input and out put tables.


3. Algebraic expressions to polynomials.   

5. Basic algebraic equations.            

2. Introduction to algebraic expressions.

4. Types of polynominals.

6. Algebraic inequalities.

We'll discuss all the above topics one by one, on this page. Most often kids keep learning arithmetic till grade five in most schools around the world.

Also arithmetic is the base to learn algebra1 and hence, overall mathematics. In other words, if we say that basic arithmetic skills are the key to learn algebra1, there will be nothing wrong. We can list all the basic arithmetic skills as given below:


1. Number sense (counting numbers, place value and rounding numbers)


2. Four operations of math (addition, subtractions, multiplication and division)


3. Good and sharpen memory to do times tables in head for mental math.


4. Knowledge of greatest common factor and least common multiple.


5. Good understanding and knowledge of fractions and their applications.


6. Last but not least the ability to understand number and shape patterns.


All the above basic topics are the part of arithmetic and mostly, kids learn them till grade five in elementary school. All these topics are mandatory to learn higher math in grade six and beyond, which consists of 80% algebra.


Hence, encourage your kids or students to pay close attention to these key topics in lower grades. Specially, in grade three to grade five, students should switch their daily activities more towards math.


Parents should reward the kids if they make math learning as their daily routine. If kids in grade three to five have difficulty to sit everyday and learn and practice math skills, parents should talk to them and resolve any issues or challenges their kids face to learn the basic math in these key grades.

Once kids get used to sit for math every day, they start to love this subject. Otherwise math becomes very dry or boring if kids just want to do it occasionally. Basic arithmetic is not very hard and even most parents can help their kids to get better at it.


Again, make sure kids are good at basic arithmetic before starting algebra1 topics with them. For example; if kids are not good at patterns, it will be very hard for them to understand input and output tables and to make a relation between the independent and dependent variables. In other words, arithmetic is the key to higher math.

Algebra1 - The beginning of relationships between unknowns


Below are all the sections of algebra1 and a brief introduction about each of them:


1. Input and output tables:

Input and output tables are learned in grade 6. These tables can be very helpful to make a relation between two quantities. For example; the price of sugar in dollars and its amount which can be purchased with the money, can be the input and output respectively.


To learn this skill effectively, kids need a sound knowledge of basic operations of math and good pattern skills.


2. Algebraic expressions - An introduction:

In the input and output tables, there are two quantities discussed. One of the quantity vary according to the other. For example; the quantity of sugar you can buy is directly hit by price of per pound of sugar.


In other words, if sugar is expensive we have buy less with fixed amount of money. So there is a number relation between amount of sugar and it cost per pound, which is called an algebraic expression.


3. Polynominals:

Once kids get able to draw a relation between two quantities, then they begin to learn about the basic terminology about the algebra1. They start to know variables and how we denote them, coefficient and constants are some other basic terms in algebra 1 vocabulary.


So, there are algebraic relations between two quantities. For example; if we can buy 5 pounds of sugar with $6, then the cost of per pound of sugar is an algebraic relation which helps us to find any other cost of sugar for a given amount of it.



These relationship between two (or more) quantities are called algebraic relations and if these relations pass certain criterion; they are called polynominals


4. Types of polynominals:

Once kids get used to term polynominals, then they need to know their types. Polynomials can be classified many ways, but classification on the basis of number of terms is most important.


5. Basic algebraic equations:

When we equate an algebraic relation, equal to zero then it becomes an equations. The basic equations are an integral and most important part to learn in algebra1.


6. Algebraic inequalities:

Finally, algebra1 comes to an end with the knowledge of inequalities. Inequalities are the next stage to equations and they use inequality symbols along with equal sign.


Most kids finish all the above skills till grade eight or nine. Then students start to learn algebra2 in grade ten and beyond.


Finally, it can be said that arithmetic is the most basic stage to learn math and it gives a platform to learn the next stage called algebra1. Which in turn, builds the foundation to learn algebra2 and higher mathematics.





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