Top 5 blog Post

These top 5 are in no particular order.

Legal Moves with tiles

The First of the top 5 are legal move’s. I chose this one because you have to go by the rules to get the answers for every question no matter the length. This type of math question is just to find the variable by itself and what its value is. The rule is, whatever you do to one side, you have to do to the other. As long that there is a way of having the variable by itself you can do the equation.

X and Y graph equations

X and y graphs helped me very much with understanding how charts and how money works. With just one equation you can predict the whole chart to the 1,o00th number. It is fairly simple and works like a charm. So the x value in the equation means how many the number goes up by per section and the plain number is what you add to the number. If you do this correctly you can find any number you want. IF you want to find any number you multiply the x value by the number column and add whatever number comes after in the equation.

Exponent laws:

Exponent laws were a very important thing I learned this year because I struggled with them all year long with getting 63% on the exponents test. But once the test was done I was able to understand the easy topic that I found so hard my whole year. While I too thought it was a complicated equation I soon realized how lazy and fun exponents could be. Exponents is just a repeated multiplication of numbers. You can just add the exponents if the bases are the same, but if the bases are different you have to multiply the bases by each other then add the exponents

Similarity and Scale factor:

Every student in Mrs.Burton’s class did not understand what the 1:4 in the maps meant including me. I loved maps as a kid but I was never able to understand what it really meant. But what I learned was that this is just a way to show what can be drawn or built by using equations and scale factors. It would take a lot of hours and paper to draw a life size version of a house as an architect. The scale factor means that if the number on the left is smaller then the actual is bigger than the picture while if the number of the left is bigger then the real life item will be smaller.

Financial literacy:

When I first learned that we had to do finances I was worried because I didn’t know much about it and it seemed quite complicating. But the most important of the things were surveying and what affects surveys. What I didn’t know is that you can tell a survey is good or bad just by checking the factors that affect survey data. The factors that affect surveys are Cost, bias, language, privacy, ethics, cultural sensitivity and time. These all majorly affect surveys and in order to get a good survey you need to add all of these into it to make it the most effective.

What I learned about grade 9 similarities

Enlargements and reduction

Reduction is when something reduces in size and has a smaller surface area.

Enlargement is when a shape is larger than the original image and has a larger surface area

Is it similar?

A polygon is only similar if all of the angles are the same. Even if the shape looks similar if the angles are not the same it is not a similar polygon

 

Scale Factor:

The scale factor means how much the polygon increases or decreases by. The image is always on the left and the original is always on the right. So if the scale factor is 2:1 then you multiply the image by 2 which would be an enlargement while 1:2 would be dividing the image by 2. If the number on the left is larger multiply but if the right is bigger then you divide.

Equations:

Sf= Scale Factor

When you want the size of the image, you multiply the scale factor withe the original image to find the size of the image.

When you are asked to find the size of the image you multiply the S.F with the original if it’s an enlargement and if it’s a S.F less than one you divide by that number

When you want to know the scale factor divide the image by the original to get the S.F

Triangles with missing sides:

For example if you know all of the sides of the image and have just one side of the original, you can divide the image by the original and you get the scale factor. Once you have that you can divide all of image sides and you get the original side lengths.

 

Butterfly is when you cross multiply so you find the missing number, and you divide the two numbers you have and then divide or multiply the number you have to find the missing number.

What I Learned about Grade 9 Linear Relations Summary

Horizontal and vertical Lines:

An example for this is that y=3 what you do is you find 3 y and then it just goes horizontally across and If it is x=3 you find 3x and go vertically all the way through. When you want to make a smaller line you have to put down where it stops and where it finishes. An example is x=3 {2<y<4}

How to determine points on mixed up equations or ones with fractions:

-3x+ 2y=2 This is actually very simple because all you have to do is get Y. You can achieve the answer by adding 3x to the side with 2. Which makes 2y= 3x+2 divide by 2 and you will get the formula. when you get a number that is a fraction you put the multiples in x column and y will be a full answer.

What the number in the equation means in the line:

If the x is negative then the picture will be going but if the x is positive then the line will be going up and is positive.

How to fill the table when you get the formula:

This is very simple because all you need to do is multiply the number on the x column and then add or subtract to find y. Ex: 2x+3 would be 1 x 2= 2+3= 5 so the answer and the difference between the numbers in the x number. So the question goes up by 2 every time.

How to extend the pattern on an axis:

You can extend the pattern on the axis to see what all of the numbers would be and also to check if your equation is correct by checking if the line is fully straight. unless the number can be divided to a fraction you dont need to extend fully.

Plot points on a coordinate axis:

Plot points on a coordinate axis work very simple and it works like this. If your equation is 2x+3 you go 2 points to the x axis and 3 points up to y. So y is going up and x is going to the sides. whatever the equation is you just put it into the graph to make it work. The coordinate axis x and y meet at zero which splits up the picture into four quadrants.

How to convert a table to a rule:

You first see how much it goes up by each time and that is the second number. What you do next is to see how much is left and multiply that part of the equation.

How to convert pattern to table:

First you see what the pattern is and see how much it goes up by and then you order it by 1,2,3,4 on the x side and how ever much you need to multiply you do that and your answers will be able to be filled in.

Extend a growing pattern and fill in missing numbers:

  1. Extending a growing pattern is just a realization of the increase or decrease of the number and just continuing the number. Filling in the missing number is finding how many numbers are between the two that you can see and just multiplying the the rule and the number. 

 

What I Learned about Grade 9 inequalities

How to check solution: You can check your solution in two ways. If it has an equals to sign then you can do two. You replace the x by putting its value times the number.

Graph inequality: If there is a closed circle it means equal less or more then. If the circle is open then it has to be less then or more then.

What do the symbols mean:  There are four symbols. The first one is less than which mean your number has to be less than the number. The next one is greater than were your number has to be greater than. The third one is equal or less than. This means the number has to be less or the same as the other number. The last one is greater or equal than this means that x must be greater or equal to the number.

Inequalities

An inequality is when you have an equation that you have to use one of the four signs.

How to solve+ divide by a negative: When you divide the number by a negative you have to flip the sign.

What I learned about Grade 9 Equations

What is an equation

An equation is when Then are two math statements that mean the exact same thing. An equation is separated by an = to show that they are both equal

What is an equivalent equation

Equivalent equations are equations that have the same meaning but could be in different form. Fox example 1x=1 and 2x=2 are equivalent equations because when you go to 3x it will be 3 and 4x will be 4 etc

How to solve equations

Algebraically

Algebra tiles

Bfs Brackets fractions sort divide. This is for when you have all four types you need to do them in this order or you won’t get the right answer. The most important step is the first one.

 

How to check if you are right:

Evaluate the left side of the equation then the right and see if they add up. If they don’t add up then you know you did something wrong.

What I learned about surface area

Surface area is the measuring of total area around the shape. The process is just counting all of the squares around the shape.

The formula:

The formula for surface area is the top and bottom are the same so you multiply it by 2 and then you multiply the sides by 4. That will give you your answer. Also you can count the squares and then multiply. A long way of getting it is to count all of the squares one by one. All of this is for a three dimensional object.

The formula for a square is BxH This will always work and get you the answer.

 

The next thing is removing squares from a 3d object:

When you remove one corner cube the surface area stays the exact same because you still see the same amount of squares when looking from the sides. But when you take away a cube in the middle the surface area actually increases by one. So its pretty cool the way how that works. So sometime when you take it away it stays the same or decreases but when you take one away from inside the middle then it increases.

What I learned about Polynomials in Grade

 9Degree of a Polynomial:

The degree of a polynomial is the highest power in all of the numbers. So if one of the numbers has a power of 4 and another one has 1 and the last one has 6 then the degree of the polynomial is 6. It is like this for every time. Look what is the highest power and you have the degree of your polynomial


Types of polynomials:

A monomial is a polynomial that has only one term for example 5x is a monomial. A binomial is a polynomial that only has 2 terms. for example 5x+3 is a binomial. And a trinomial is a polynomial that has three terms. An example is 5x+3- 3x squared. So the degrees of a polynomial are how many different types of polynomials there are.Image result for types of polynomials

Terms: The term in polynomials are the actual numbers in the question. So 1,2,3 are all terms and a,g,b are not not terms. So look for the actual number when looking for termsImage result for polynomials what is a term

Negative and Positive polynomials: Negative polynomials and positives work very similar. They pretty much mean zero pairs. You cancel them out if they are there. The process is pretty much a subornation question. So -5x+3x= -2x. This is pretty much exponents. Do the subtraction or the addition.

Adding polynomials: Adding polynomials has simple steps: remove brackets bunch up like terms and then subtract or add.>

Subtracting polynomials: When you subtract polynomials you are essentially adding but with a twist. When there is a – sign before a bracket you have to flip the numbers in the bracket. After you’ve done that its easy. Just do what you did in addition..

Multiplying Polynomials: Multiplying polynomials has 2 different ways. Straight up multiplying or grouped up. The first one is where you multiply the two terms and just like exponents you add the powers. The next way is multiplying the numbers in a bracket. You multiply the number in front of the bracket by the numbers in the bracket. If there is an x in the number before the bracket then you add it to the numbers. Remember x.x= x2. So always keep that in mind.

Dividing Polynomials: Dividing Polynomials is quite simple. Divide then subtract. Divide the numbers then subtract the powers by each other just like in exponents. But remember when you are dividing then you have to keep x in mind x2 divided by x= x. Always know what you are doing with x’s.

Polynomials with algebra tiles: Each of the tiles have different meanings. There are three different types. All you have to do is all of the steps from all other operations. Just with tiles this time.Image result for polynomials with tiles

TOKTWD 2018

The Assignment:

You will be observing your host throughout the day. There are 3 parts to this assignment:

Part 1- The Interview: Observe your host at work, at some point interview your host and record/make notes of the results
Part 2 – Reflection: After the day is finished, reflect upon your experience and answer the reflection questionsPart 3 – Post Your Assignment to Your Blog: Once your have completed Part 1 and Part 2 post it on your blog. Make sure you take pictures and/or videos to document your day, you can place them in your blog.

Name of your host: _____Nenad Mladenovic__________________ Relationship to you: ____________Father_________

The Interview: (ask your host these questions)

1. What is your job title? ________________Fire alarm engineer_________________________________________ 2. What is your job description?controls all of the fire alarms in yvr and works on them____________________________________________________ __________________________________________________________ 3. What are the duties and/or tasks you perform at your job? _____I got to help my dad install a fire alarm.________________________ ______________________________________________________________________________ 4. What qualifications do you have for this job in the following areas:

a) training? ____You need to know engineering and have experience

__________________________________________ _____________________________________________________________________ b) education?___You have to have graduated and have gone to some colleges or universities._________________________________________________________ _____________________________________________________________________ c) experience? __He said that you don’t have to have experience and you just have to have the desire to learn.________________________________________________________ _____________________________________________________________________

d) skills and attributes (personal qualities)?__Being able to work hard and to never give up and know what your doing___________________________________ _____________________________________________________________________

5. What are some of the things you like about the job? __I like that he walks around the airport and gets to go into places no one else is allowed and its exiting_______________________________ ______________________________________________________________________________ 6. What are some of the things you dislike about this job? _That he has to drive so far to get there and that his work is so spread out.______________________________ ______________________________________________________________________________

7. How do you anticipate this job changing in the next 5 years or so? _I think that his job will change to a multiple item job which means that he will do other appliances____________________ _____________________________________________________________________________

Name: ____Matej_________________ Rap: _______Class: __Burton________ Due: _______________________

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Other question (s): ______________________________________________________________________________

Student Reflections:

1. Give three reasons why you would like this job (be specific):
a) ___I would like this job because you get to walk around the whole airport_____________________________________________________________ b) __You control the whole fire system_____________________________________________________________ c) ____you get to meet all the head of operations____________________________________________________________

2. Give three reasons why you would not like this job (be specific):
a) _It is a very long drive to get there_______________________________________________________________ b) ____You can’t mess-up or you will be really bad situation____________________________________________________________ c) ____You have to know every thing or else you’ll be in trouble____________________________________________________________

3. Is this job for you? Why or why not? _____I think that this job is for me because if you listen to the important things you will do well and have no issues with your boss._____________________________________________________________________________________ __________________________________________________________________________________________ __________________________________________________________________________________________ 4. Explain the value of the TOKTW experience in relation to your ideas about your post secondary (after high school) plans (education?, training?, travel?, work?). _This related because we could see how hard it is to work and what you need to look for when you need to find a job._________________________________________________________________________________________ __________________________________________________________________________________________ __________________________________________________________________________________________

What I have learned about Grade 9 Exponents

What is an exponent:

An exponent is a question that has a power to it. The power usually is small and is on the top right corner. This is a question where you have to multiply the number by itself as many times as the power tells it to do. The base is the bottom number. So if the base is 2 and the power is 3 then it is 2x2x2 The answer to this is 8 2×2=4×2=8. it is very simple when done like this.

What is the difference between simplifying and evaluating:

Simplifying means to not answer it but simplify to the easiest number you can get to. A simplified answer would be 7 to the power of 9. You simplify this because there is no point of doing the answer without a calculator because the number would be insanely high. So if you use common sense you can know when to simplify. Evaluating means finding a single number answer. So it means that you have to do the simplify question. All it is is taking one step further and doing the question. So if it is 2 to the power of 3 then you do 2x2x2 which equals 8. So your answer for that question will be 8.

Multiplication law:

The law for multiplication is that if the bases are the same you add the powers together and that is your answer. So if the question is 3 to the power of 5 multiplied by 3 to the power of 2= 3 to the power of 7. It is that simple to multiply exponents if the base is the same. If you want to multiply exponents with different bases you multiply the two bases and then add the powers on top. So if it is 6x 10 to the power of 6 you multiply 6 by 10 which is 60 to the power of 6. But when the powers are different of both you have to find the answer to both and then multiply them by each other. So 2 to the power of 2 x 3 to the power of 3. You find the power of both with is 4 and 27. So next you multiply them together so 4×27= 108. But you still have to think about simplifying or not.

Division law:

For division you pretty much subtract. If it is 2 to the power of 6 divided by 2 to the power of 3 you keep the base and subtract the powers so the answer is 2 to the power of 3 and the answer to that is 8. But if the bases are different you divide the bases and then subtract the powers. So 4 to the power of 6 divided by 2 to the power of 3= 2 to the power of three. 4 divided by 2 is 2 and 6-3=3. So the answer  is 2 to the power of 3.

Power of a Power Law:

This rule means that If the one of the bases does not have a power then you always add 1 because it is impossible to not have a power. The one is added because if it was not added then you would not be able to do the question. Also 0=1 because no question can be done without have full numbers.

Exponents on Variables:

An exponent on variables means that if there are letters below powers with a number behind it then you leave the number and multiply the letter the amount of times it says. So 3x to the power of 3 is really 3.x.x.x= 3x. If you have more then one variable then you do the same. Another ex.  3x to the power of 2 v to the power of 4 is really 3.x.x.v.v.v.v= 3xv. It really is pretty simple and easy to understand.

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