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.
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.