Tag Archives: Burtonmath10

Math 10 – Week 18 (Final Blog Post)

Math 10 was a very important class me for. I found success when I did five things.

Took Notes in Class.  

Actively taking notes was very important. Writing the notes made it so I could personalise and make the notes so I could properly interpret them.

Did Homework Daily 

This was very important as it prepared me for tests and skills checks. It also was helpful because I was able to see which questions I could answer and which questions I needed to look up.

Study Realistically 

It is good to do the appropriate amount of revising so you are prepared but also that you can interpret all your new knowledge.

Remember Ms Burton’s Memorsization Tools

Perfect Squares Have even exponents, Flower Power (in a power that is a fraction the denominator becomes the root and the numerator will stay the power) {Chapter 1 and 2}. Soh Cah Toa (Sine= opposite/hypotenuse) (Cos-Cosine= adjacent/hypotenuse) (Tan- Tangent= opposite/ adjacent) {Trigonometry}.Best Friends Share Deserts (Brackets, Fractions, Sorting Zero Pairs, Divide) {majority units}. Can Divers Pee Easily Under Water (Common GCF, Difference of squares, Pattern is correct, Easy? a=1, ugly? A>1) {Polynomials}.

Have a Scientific Calculator Everyday

YOUR PHONE IS NOT A CALCULATOR! Make sure to have a calculator that is easy to use with basic functions like π, √.

Math 10 – Week 17

This week we looked at finding the point where 2 lines intercept.

Substitution  

1.) find a variable with a coefficient of 1.

2.) make it so the equation is equal to the coefficients (ex. x=2y+2)

3.) use the other line and substitute the other coefficient

4.) group like terms

5.) isolate the variable

6.) once you find the value of the variable, input it into one of the questions

7.) isolate the other variable

Elimination 

1.) find a zero pair with one of the variables

2.) Isolate the other variable

3.) input your answer into one of the equations

4.) isolate the other variable

Math 10 – Week #16

This week in math we learned about the three differents ways to write a linear equation and the way we can convert from one form to another. Converting from slope intercept and general from can be very easy if you follow the following steps,

Picture;

1.) Once you have the coordinates, you find the slope. The slope can be found by taking the first “y” variable and subtracting the second “y” variable. Then you do the same with the “x” variables.

->M= y1-y2/x1-x2

2.) After you input the slope value, you put the “y” and “x” variables in by using either the first or second pair of pair of coordinates. The goal is to find the b value to do the formula for slope intercept, which is y=mx+b.

3.) Finally, you have your equation in slope-intercept form and the way you convert the equation is by doing the opposite of the numbers,

for example,

y=-2x+y-8 -> 2x+y+8=0

Slope-intercept form:

y=mx+b

m=Slope

b=y-intercept

General form:

ax+by+c=0

rules;

Leading coefficient has to be positive

Only integers (No Decimals)

 

 

Math 10 – Week #14

This week we learned about slopes and graphs, and when interpreting the graph it is hard to understand what the graph is reading. Specifically knowing if the graph is showing a positive(+), negative(-), a zero slope, or a undefined slope.

POSITIVE slope

The slope starts at the left and increases to the right

NEGATIVE slope

The slope starts at the left and decreases to the right

ZERO slope

The slope has to go in a perfectly horizontal line into the quadrant horizontal to the other.

UNDEFINED slope

 

The slope has to go in a perfectly vertical into the quadrant directly below or above.

 

Math 10 – Week 11

Recently I was looking back over my blog posts for Math 10, and I realized that I never did a blog posts for the different numbers groups. I was surprised about the fact that I didn’t do a blog for the number groups because it is the simplest topic but can get very confusing

 

CHART OF ALL THE NUMBER GROUPS;

– Natural Numbers {N} ; all positive, whole numbers, but not including zero, no negative numbers

– Whole Numbers {W} ; all positive, whole numbers, including zero, no negative numbers

– Integers {I} ; positive and negative, whole numbers, including zero,

– Rational {Q} ; can be written as a fraction ex; 5/1 = 5

– Irrational {Q} ; CANNOT be written as a fraction ex; 17/4

– Real {R} ; All rational & irrational numbers

Math 10 – Week 13

Last week in math we looked at functions. We learned that they are a very special relationship. For example; “a function is like a marriage because you have one spouse and only one, and a friendship is like a relation because you can have more than one friend.” Like how an input has one output.

FUNCTIONS;

In the first example on the table of values there is an example of a function, due to the input having one individual output if the 2 for example had a partner of 2 and 5 than that would make the expression a relation. In the second example the 1 (input) had an output of 4 & 5 which made the expression a relation. In the last example graphs are shown on how relations and functions are graphed. The function has a perfectly diagonal line which is not necessary, but 2 points that are equal to each cannot be perfectly vertical.

Math 10 – Week 12

The introduction week to the Relations & Functions unit was reviewing concepts from grade 9. For example linear equations, working with a table of values, and inputs and outputs. But this week intercepts were introduced.

SOLVING AN EQUATION;

 

What ever intercept you are trying to solve that will mean that the other variable will be zero

ex; x – intercept = 0

then you work through the steps with the expression (BFSD) in your mind

Brackets

Fractions

Sorting (Zero pairs)

Divide

Once you remove the brackets and Fractions you are on sorting will means having numbers on each side.

For example;

4x -8 = 8

+8 = 8

then you divide with the coefficient.

Math 10 – Week 10

This week in math we looked at factoring ugly trinomials. At first I struggled with the concept, but I found a very simple strategy to figure it out.

Box Method

The Box Method:

The way you start is by putting the variable with the highest degree of the top right and the constant (The term with no variables) in the bottom left, once you have those two numbers you put cross multiply. In the example the answer is 6. The way you find the top left and the bottom is you list the factors and you pick the factors that add up to the middle value which in the case is 5. Once you put the terms in the box. Then you horizontally find the things (factors, variables) and then do the same thing vertically. After that you group the like terms into 2 different brackets. Then you have your answer.