The top 5 things that I learned in grade 9. Everything I learnt this year was very helpful but these are some of the 5 things I picked to talk about.

The top 5 things I picked to talk about are: Linear equations, polynomials, powers and exponents, exponent laws, distributive property

**Linear equations:**

What is an equation? it’s an equation is two algebraic expressions connected by an equal sign

Operations: four things you do to an equation add, subtract, multiply and divide

The Golden rule: whatever you do to one side you do to the other side

I learnt in this unit that what you do to one side you must do to the other sides huge! If you don’t remember this you will be falling of the railroad track. You have to remember this rule. Also recognize what you are doing and what you will need to answer the questions.

**Polynomials:**

Polynomials include:terms, constants, coefficients, degrees, variables, binomials, trinomials, monomials

**Terms-** terms are a single number which are separated by the negative and positive sign.

**Constants-** constants are always the at the end of the question.

**Coefficients-** coefficients is the number always at the beginning of a question.

**Degree-** degree is the small number in a question such as a way to remember this would be if you think of a thermometer and where the degrees sign is where the 7 would be in my example.

**Variable-** variables are the letters in a question such as .

**Binomials-** binomials are equations with 2 terms with a plus or minus added to it. Example

**Trinomial-** trinomials are equations with 3 terms an example would be

**Monomial- **monomials are equations with 1 different term this is an example

The one thing that I will always take away from this unit is that the degree in the questions is just like the degree on a thermometer. One of the most common sense things I learnt in math, the name of the rule makes it that much easier.

**Powers:**

Powers and exponents have specific rules: the multiplication law, division law. They are both very specific and you have to remember how each rule works.

**Multiplication law:**

When the bases are the same you add the exponents together, but if the bases are different its a just do it questions and you have to work out the question.

\=

**Division law:**

When the bases are the same you subtract the exponents, but if the bases are the same its just like the multiplication law its a just do it.

\=

We used many different strategies to get the answer, and to work out the question. There were ways when we divided the numbers separately and individually, an example would be 5.5.5/5.5.5.

**Power of a power and zero exponent law:**

power of a power is when you have a base and an exponent in brackets and another exponent on the outside of the brackets.

**BEDMAS** one of the biggest things to remember doing anything in math but in the case follow the rule and you will be just fine. ( brackets, exponents, division, multiplication, addition and subtraction)\

There were a lot of things I learnt in this unit. It was very easy to follow and were a few things I learnt that will always stick in the brain. If you memorize the way you have to operate the questions it will be easier when you have to do it again.

I also learned that BEDMAS is actually really important and if you don’t use it you will most likely get the question wrong so I learnt that you need to always use it.

**Exponent laws:**

Exponent laws in my opinion are very important i never learnt all of them last year and had no idea how they worked. After re learning them this year I understood them and realized that if you don’t follow the rules your whole equation will end up being wrong. An example would be 5 to the power of 2 is 25

Exponents are lazy when there is no brackets. When there is brackets you multiply the outside the brackets with the degree on the inside.

NEVER ever multiply 5×2=10 you will get it wrong. The 2 is the number of copies of 5 how many times you need to write out 5 and multiply the 5’s.

**Multiplying with the same base: **

P.S the rules are in the powers section above.

**Distributive property:**

This is a really easy thing to remember, always remember your rainbows!

When doing this you have to get rid of the brackets always the first step in BEDMAS get rid of those brackets.

First step: multiply your number on the outside of the brackets to the numbers on the inside of the brackets. EX. . Once you have multiplied the outer number you should have an answer of

This was very helpful for me to look at and go back to when I needed to.