math 10 – week 17

This week we did a lot of flashbacks on trig, linear relations and algebra.  We also did a bit more practice on arithmetic sequences.  My favorite part of the week was the trig flashbacks.  We reviewed soh cah toa.  We were given a triangle with 2 side lengths and had to calculate the other.  I had to remember how to find H, A, and O,  if i knew this i could use soh cah toa.  For example finding Sin i could have a triangle and be given H 20cm, and a refrence angle of 75degrees.  I can find x by calculating sin75=x/20 followed by 20(sin75)=x which equals to 19.3cm=x

math 10 – week 16

During the end of this week in math we learned about arithmetic sequences.  Its a way of taking a pattern of numbers and finding the rule, this way we can find any term in the sequence.

If we are given 3,13,23,33 we can see the sequence is going up by 10 each time.  These are the first 4 terms, we can use this information to get too the 50th term for example.

We know that t1 is 3….t2 is 3+10….t3 is 3+10+10, therefore t50 would be 3+49(because we want t50 and already have t1…50-1) 3+49(10)=3+490=493

math 10 – week 15

We continued systems of linear equations but this week we learned to solve equations without a zero pair.  Say you are given the equation x+3y=4/2x+5y=1, we woild multiply the first equation by -2.  Now we have -2(x+3y=4)/2x+5y=1, if we do the distributing any multiply the first equation by -2 we get,  -2x-6y=-8 + 2x+5y=1, when we add these equations we get -y/-1 and -7/-1 therefore y=7.

math 10 – week 14

We are now working on systems of linear equations.  This is when you are given two equations and practically have to combine the two and use algebra to get X= or Y=.  Such as an equation of 2x+3y=7/5x-3y+28, first of all the +3y and -3y cancel each other out and are called a zero pair.  now we add what we have left which gives us 7x/7 and 35/7, we divide these both by 7 giving us x=5.

math 10 – week 13

This week one thing we learned was general form, general form is a ‘pretty’ way to set up an equation but not the most helpful.  General form always =0 and the rest of the numbers are all integers.  General form starts with the X value followed by the Y, then the tens. (example: 2x-3y+12=0) *the starting X value is always positive*

An example would be seeing an equation such as y=4x+10, this in general form would look like 0+4x-y+10, All I did was organize it so Xs were first followed by Y then the tens and all equaled 0.

math 10 – week 11

This week we focused on midpoints in lines or coordinates, such as being given a right triangle labelled H, 6, 5.  We can format this by going 5 squared + 6 squared = H squared, we get 25+36=H squared.  we then square root the answer, 61(square rooted) = 7.81=H. We square root all individual answers to find the midpoint, (5,6,7)

Math 10-Week 9

This week we learned about domain and range.  Domain is the set of all numbers for the independent variable which is x, range is the set of all numbers for the dependent variable being Y.  If you have plots across the X axis at 1,4,7 for example you would record your domain as {1,4,7}  If you had -3,6,12 across the Y axis your range would be {-3,6,12}

Math 10-Week 8

This week we learned about X and Y intercepts.  You find the X and Y intercepts when looking at a graph. The X intercept can be found by looking for where a linear relation starts on a graph on the X axis.  For example if you move a ruler from the left to right of the graph, the first place you touch (plot, line, or shape) is the first number.  If you hit -3 on the X axis first you would put it as the first number in an ordered pair.  (-3,–)  To find the second X intercept you do the same thing only from right to left.  If you hit 7 first your X coordinate would be (-3,7)

Y intercepts are the same only along the Y axis