Archive of ‘Grade 9’ category

14
May
2020

Summary Blog Post- Grade 9 Linear Relations

categories: Math 9, Uncategorized

What is a Linear Relation?

A Linear Relation is an equation that when graphed makes a straight line. It makes it simple to check if your answer is correct if your line is not straight or you cant put a line through your plots you’ve done it wrong.

 

 

How to Find the Rule for a Pattern

When you’re trying to find the rule for a pattern you should start by seeing how much it is going up or down. In this case, it is going up 2 so that becomes the first number you use ( in front of the x ). Next you need to see what you do to x times the number to get your y. In this case 2 times 1 is 2 and plus 1 is 3. so your final equation would be 2x + 1 =y.

 

How to Plot a Point

When you are plotting points it’s important to keep double-checking. With the graphs it’s easy to miscount and put something in the wrong place. The x value is where you should look first the x-axis is the Horizontal line, You just look across it for the number you have. Then you take your y value and look on the vertical line for that number and plot it down at the hight of y and length of x.

How to Graph a Linear Relation

A linear relation is when your equation makes a straight line.  As long as you have plotted correctly you will get your straight line

 

 

 

 

 

How to Graph Vertical and horizontal lines

When you are given a rule that is just a number = x or a number = y it means it is going to be a straight line. When given a question like this you just find that one spot on the graph for example 2 on the x-axis and put your line there.

 

 

Vocabulary:

  • X and Y axes: The different lines on a graph, x is horizontal y is vertical.
  • T-chart: The chart you put your coordinates into to help organize and come up with an equation.
  • Coordinate: The location your plot is on the graph. An example of a coordinate is (2,4)
  • Origin: The middle of the graph or (0,0). It is a fixed place on the graph.
  • Plotting: Plotting is to put your coordinates on a graph.
  • Linear pattern: When your coordinates have a pattern going up or down and it results in a slanted straight line.
  • Increasing pattern: When your pattern goes up.
  • Decreasing pattern: When your pattern goes down.
  • Horizontal line: the X-axis and the line that is flat.
  • Vertical line: the Y-axis and the line that is going straight up.

Something I learned that wasn’t mentioned

I learned that when plotting you can skip numbers on the x-axis. Before I thought that you had to have one on each number of the x-axis but it turns out you don’t.

 

 

17
Apr
2020

What I Learned About Grade 9 Inequalities

categories: Math 9, Uncategorized

What is an Inequality?
A inequality is an equation where instead of the = sign you have <,>,≤,≥

What do the symbols mean?
< This is the greater than symbol, if you see this it means that what is on the right side is larger then what is on the left
> This is the Less than symbol, if you see this it means that what is on the left side is larger then what is on the right.
≤ This is the Greater or equals to symbol, if you see this it means that whatever is on the right side of the symbol is larger or the same as what is on the left side.
≥ This is the Less then or equals to symbol, if you see this it means that whatever is on the left side of the symbol is larger or the same as what’s on the right side.

How to solve Inequalities
You solve inequalities the same way you would solve an equation. Using legal moves to get your final answer. For my example, I have 6p+2 < -112 . First, I took away 2 from each side making the question 6p < -114. Next I divided both sides by 6 to get p< – 19.

How to check your Answer
Checking your answer is also the same way you would check your answer with an equation. On the question above I got -19 as my answer. To check if I got the right answer you put -19 in the place of p making the question 6 (-20) + 2 < -112. First I multiplied the 6 and -20 on the left to make the question -120 + 2 < -112. I added up the -120 and 2 on the left to make the question -118 < – 112. From this you just have to see if this is a true statement. In this case -118 is smaller then -112 so the statement is correct making the answer correct.

How to graph inequalities
There are two important parts to remember when putting inequalities on a number line. Firstly is to pay attention to which way the signs are facing. If you are plotting something with a < your lines go to the left. If you are plotting something with a > your line goes to the right. Secondly you have to pay attention to whether your inequality has a line underneath it. If your inequality has ≤ or ≥ then you need to leave your mark for example on a 9 empty in the middle or uncolored in.

03
Mar
2020

British Govern Quebec

categories: Socials 9

    As a British official, I realize there are many alternatives to governing Quebec. I have chosen the policy of assimilation to ensure the colony is properly run. Assimilation is the best possible option of the 5. Deportation would not work because the British would have to pay for the boats to deport said people, also the British would be losing a lot of people they could put to work to make money for Britain. Maintain the status-quo, this is a really bad option. British would have to learn French to even talk to the people, plus it’s not benefiting Britain. Isolation, well at first it sounds like the best choice, we would have to pay for the new territories for each culture and in the end it would just be costing Britain. Biculturalism, this is not an option to us . we can earn nothing for Britain choosing Biculturalism. Therefore, Assimilation is the best option for us. We can make them work for Britain and bring wealth for our country. As I have outlined above, I believe the best policy for governing Quebec is assimilation. This will ensure that the colony will remain under British control and provide wealth for our glorious country.

 

03
Mar
2020

What I learned about grade 9 solving equations

categories: Math 9

What is an equation?
An equation is a mathematical expression that has an equals sign.

What are equivalent equations
Equivalent equations are two equations that have the same answer or roots when solved.

How to solve equations (find what x = ?)
 ~Visually with algebra tiles
Solving equations with algebra tiles is to me the most confusing way of solving equations. The x piece represents any X’s in the equation and the one piece represents the hole numbers in the equations. Solving equations have a few key rules, if you stick to these rules you should never get a wrong answer. Firstly if you add something to one side you have to add the same thing to the other side.

 ~Algebraically
Algebraically is almost the same as using algebra tiles, the only difference is instead of tiles or shapes you are using numbers.

 

 

~BFSD (brackets, fractions, sort, divide)
BFSD is like the BEDMAS of equations. BFSD is the order in witch you should solve equations to get them correct. First you look at the brackets and solve anything in brackets ( if there are no brackets you can just skip this ) next you look to see if the question has any fractions, if so you solve those next. After you sort your question so it is easy to answer. Lastly you dive to get your final answer.

How to verify (Check) a solution (answer) is correct
Once you have solved your question you take the answer to how much a X is valued at and fill it into all the X spots in the original question. Sole once side at a time and if you get the same answer on each side you did your question correctly.

Vocabulary
Equation: A math question where both sides of the = sign are equal. For example 6 + 10 = 16 or x2 + 4 = -7 + 2x
Equivalent: Two numbers or equations that are equal in value, function or meaning
Solution: The answer to a equation
Coefficient: The number before a variable ( X, Y, Z etc )
zero pairs: Adding or subtracting a number or variable by itself to get 0, canceling it out.
Variable: An unknown number represented by a letter.
Constant: A whole number with no variable attached.
common denominator: When adding or subtracting compare multiples of the denominator to find a common denominator, this makes it easier to solve.
Distribute: spreading something out. Mostly seen in multiplying a number by all the contents inside a set of brackets.

 

03
Mar
2020

FEC Blog Assignment

categories: English 9

Image from Pinterest

 

The ripple effect

Social change can happen with the small actions of dedicated individuals. 

This is first shown in Friday Everything Changed when Ms. Ralston hits a home run.  The action of Ms. Ralston hitting the home run on page 10, even though the action may seem small is one of the reasons that the girls become able to carry the water bucket. The home run leads to Alma and Joyce being picked to carry the water bucket. This also relates to Gandalf’s quote

 “ Some believe that it is only GREAT POWER that can hold evil in check. But that is not what I have found that it is the small everyday deeds of ordinary folk that keep the darkness at bay. Small acts of kindness and love. “ 

Ms. Ralston is an everyday ordinary person doing a deed of kindness for the girls. I also believe that Ms. Ralston is helping the boys in a way when she allows the girls to carry the water bucket, she is teaching them equality and in the long term it will help the boys be more inclusive to people of the opposite gender. There are many other regular everyday people who make a difference in society. My aunt is a health aid, her small daily deeds include helping the elderly with their needs. Although her deed’s may not be at a large scale to help a society, she helps individuals all day. Her deeds and Ms. Ralston’s deeds are very different, but at the end of the day they are both helping to make peoples’ days better.

26
Feb
2020

Community Connections

categories: PE 9, Uncategorized

I personally love drawing and painting, so when we got this project i immediately had the idea to reach out to a artist. I reached out to Alice who runs the account Artoulli on Instagram and Twitter. I had been following her for awhile and have been really inspired by her art so this felt like a great opportunity to reach out. 

Interview Questions:

Why are you passionate about your Hobby?

– my mom was an artist so i guess i grew up being around art and she and my dad are really supportive of me!

 

 

 

What obstacles have you faced to get you where you are today?
– maybe one of biggest hurdles was how the administration at school haven’t been too understanding about what my goals are and have discouraged my decision to not attend college and pursue an art after i graduate!

 

 

What advice would you pass on to someone interested in what you are doing?
– go for it! practice as much as your heart desires and you will grow as an artist, no doubt. despite how long it’s taking for you to see progress, it is there so don’t be discouraged.

 

 

– Would you be open to further contact from Riverside students and if so, how can someone contact you?

– my DM’s are always open or you can contact me at artoulli.ig@gmail.com !

Do you think you will still be doing art in 5 – 10 years?
– i’d hope so! I’ve never really looked at any path in life that wasn’t heavily art related. i doubt i’ll be doing fan art as such, but definitely within the art field!

 

 

 

What is your favorite part about your hobby?
– sharing it with people! i can share what i love through my art with others who feel the same!

 

 

 

(photo’s from Artoulli’s Instagram page)

18
Dec
2019

What I Learned About Polynomials

categories: Math 9

What is a polynomial?

A Polynomial is a question including multiple terms. A term could be a single number or variable.

 

Polynomial Vocabulary

  • Degree:The largest exponent of all the terms ( Each term is added together ) .
  • Constant: A term in the question that does not change.
  • Coefficient: The number in front of a variable used to multiply with the variable.
  • Leading coefficient: The first coefficient in a question.
  • Binomial: A polynomial with two terms.
  • Trinomial: A polynomial with three terms.
  • Monomial: A polynomial with one term.

How To Use Algebra Tiles

Adding Polynomials

Adding polynomials is more like sorting then anything. To add polynomials you find same variables and add them together. Since you don’t know the value of the variable this works, if i where to say that x = 4 then this no longer works and you have to fill in all the x’s with 4’s.

 

Subtracting Polynomials

To subtract polynomials you have to remove brackets first. the rule’s with subtraction are easy to remember anything in the bracket after the subtraction line becomes reversed, if it was a positive number it would turn into a negative number and if it where negative it would turn positive. after you re write the question you can simplify by adding.

 

Multiplying Polynomials

Multiplying polynomials was also a lot simpler then i thought it would be. in the photo we have the question 4 (3x² + 2x) for this question you would multiply 4 and 3 and get 12. then you add the x² onto the end to get 12x² and for the 4 x 2x the answer would be 8x. It is pretty much the same if the number outside the bracket has a variable  for 3x²y (2xy – 3xz) each variable has a invisible ¹ , and since we are multiplying we can use the multiplication law and add the two exponents. For the 3x²y  x 2xy you can add the invisible ¹ to make the answer 6x³y and continue like that for the rest of the questions.

 

 

Dividing Polynomials

Dividing polynomials is pretty similar to multiplying polynomials in the scene that your multiplying and dividing . when you divide a polynomial you divide the bottom number with the top number. and then add the variable to the end.  for example you would divide the 4 and the 2 to get 2 then add the 4x². If there is a variable on the bottom you do the same thing as multiplication but subtract the exponents.

Connections between polynomials and past units

There is definitely a large connection between the current unit and the past units. This unit connects the most to exponents, since some variables have exponents i think if this unit was before exponents it would have been a lot more confusing.

 

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