My top 5 most important things in math 10
- learning how to do linear equations.
learning linear was the most important to me in my top 5 because that is what I most remembered and I think the most useful to use in the future in math 11 and 12.
2. sitting with people
sitting with different people each unit not only help us understand and know one another, but also get us communicate and help each other in math problems and deepen friendship.
3. Pythagoras theorem
this is handy to know if you are doing anything with triangles. It can find a missing side of a right triangle if you have 2 of the 3 sides. a2 + b2 = c2
4. Ms. Burton’s Acronyms
ms burtons funny acronyms always helped me in tests and had and will always remember it.
an acronym: King Henry Doesn’t Usually Drink Chocolate Milk
stands for: Kilo, Hecto, Deca, Unit, Deci, Centi, Milli
another one: BFSD which is Best Friends Share Deserts
and stands for Brackets, Fractions, Simplify, and divide
5. A fun math class
in all math classes I have been in, ms burton always made it fun and entertaining everyday for her students. she always had something in advance and explained things thoroughly. she had things like fraction Friday and Meaningful Monday to help us study for tests. she was always there to help student at mornings and after school.
that is all I had for my top 5 of the week! going to miss math 10 and hope I will have ms burton as my math teacher again.
this week we did system of linear equation substitution and elimination.
System of linear equation is where you take two sets of linear equation and trying to find the point on where would they cross or meet.
to solve this system you could either substitute or eliminate. Substitution is where you take one set of equation and try to isolate a variable and then insert that on where your isolated variable is on the other set of equation to find the value of that variable. And also do this vise versa to the other variable to get the value.
The elimination method you either add or subtract the equations to get an equation in one variable. You have to “cancel out” one variable to get the other variable, after you insert what you got into one of the set to get the other variable and now you have the coordination of where the linear would meet.
For this one I used elimination and subtracted from both equation the 3y and from there on I had the answer x=4, then I inserted it to one of the equation to where there would be an x to replace it and solve that equation and I had an answer of y=2. So the coordinate they would meet or cross is in (4,2).
that is what we learned this week on systems of linear equations.
That week we did equations of lines and solving equation of graphs.
there is 3 kinds of equations of lines.
to find the slope the equations is y1-y2 divided by x1-x2
the first one is called the slope-y intercept equation which is y=mx+b. To solve for this one you have to obtain the slope which is your M and at least your y coordinate which is your B.
the second one is called general form which is Ax+By+C=0. The A has to be bigger than 0 and all has to be integers for this to work, also it has to equal always to 0. To do this you can just do the slope-y intercept equation and trasfer the Y to the other side and your done.
the most efficient one is the slope-point form which is m(x1-x2)=y1-y2. To solve this one you need the slope and 2 sets of coordinates a and you have you’re equation in just seconds.
this is the slope-point form equation turned to general form.
i only needed one set coordinate and a slope and turned it into general form and that’s what I learned this week.
That week we learned how to interpret graphs of functions and to do distance formula.
interpretting graphs is explaining what is happening in the graph by how and what the slope looks like. When it is a flat line it is a constant rate, if it is going up your increasing and going down is decreasing.
When I was walking home, I walked at a constant rate, then slowed down and and walked at that rate, then started walking again at a faster rate for a short while then walked at a constant rate till I slowed down to stopped at my doorstep.
this is how you interpret a graph function and how to do it.
That week in math 10 we learned about slopes.Slope is a number that describes how steep the line is and what kind of slope it is.
There are four type of slopes: positive, negative,undefined, and zero.
Positive slope goes up to right , negative slope goes down to the right from the left, undefined slope is vertical to the graph, and zero is the line which goes horizontally in the grid.
The formula of the slope is rise which how the line goes to the Y axis,divide by run which it goes to the X axis.
For example I start in the (-2,-1) with a rise of 4 then had a run of 3 the equation for that would be y=4/3x-1.
That’s what I learned this week
Tell: This week in Math 10 we learned how to solve a function notation.
Show: You use function notation to find the y co-ordinate that is associated with the x c-ordinate on a graph within which the function equation is possible on. The way that function notation works is by first finding out the actual function.
To solve f(x)=9-2x and if the (x) were (-3) then the answer for this notification answer is 15
That week we did introduction in relations and funtions and how to do them.
a relation is how and equation in a X and Y axis has a pattern that is repeated all the time. function is a relationship between two variables. The first variable determines the value of the.
here is an example of a relation↓↓↓
in this picture there is so pattern in each question that has a repetition. In a graph the lines should connect because it is a continuous variable.
Tell: This week in math 10, we learned how to expand perfect squares.
Explain:what I have here is (2x+3)^2 or (2x+3)(2x+3). First you have to distribute using the CLAW. Which will equal to: 4x^2+6x+6x+9=4x^2+12x+9. As you can see it became 3 terms instead of 4 terms
That week we learned about polynomial and how to expand and simplify. Polynomial is a equations with 1-4+ terms. In algebra, a letter that represents one or more numbers is called a variable, such as 2a-b+4 at called algebraic expressions.
to simplify 2x+3x+24, we combine like terms. In simple state it is 4x+24.
and that’s what we learn this week of how to solve polynomial expressions.