This week in math we learned about systems which are a set of equations that help us solve for variables, algebraically they’re two ways to solve these equations, substitution and elimination, you can also graph these equations by putting the equations into slope-intercept for and graphing each equation using the y-intercept and slope.

The one I prefer is elimination. In elimination your goal is to try to get a zero pair to eliminate one of the variables, with elimination you can add or subtract your variables. Once you find the value of one variable you can substitute it in to find the other(s), Then to verify substitute in all variable that you have found into an original equation and see if it add up and makes sense.

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This week in math we learn how to find the slope and intercepts without using a graph. There are three different equations that can be used, the slope point form, general form and slope intercept form you can use these forms to find slope or solve for a variable, in some cases all you need to do is create the equation. You can turn one form into another because we are essentially rearranging the terms.

This week in math we started a new unit and learned about slope, we learned how to find slope using a graph or using the coordinates given.

They’re four different types of slopes; a positive, negative, zero, and undefined slope, to find these slopes on graphs they’re different lines on the graph that represents each slope.

This is my explanation of how to use trig to find sides of right triangles https://youtu.be/tGmk8jvM69M

This week we learned about how to factor trinomials and polynomials expressions. We learned three different ways of factoring them we learned to look for patterns, difference of squares, and “ugly” trinomials.

For me “ugly” trinomials were a lot more confusing than the others because they didn’t have that flow and didn’t follow any patterns that were in the other trinomials. what we used to solve these “ugly” trinomials were area models.

first we look for a GCF and if there is a GCF between the three terms then we factor it out.

Then we multiply the first and last term together and look for the two numbers that multiply to the product of the first and last term but also add up to the middle term of the trinomial.

Then once we have those numbers we would put them into a area model and take out the GCF of the pair of numbers that line up vertical and horizontal.

then we put those numbers together to get our binomial.

This week in math we learned about polynomials we learned tricks on how to multiply binomials with the first terms of the binomials being a single variable, we learned how to use foil and distributive property, and we learned how to show work by using algebra tiles, area diagrams and we also learned how to simplify polynomials.

The thing I had trouble with this week was learning and simplifying polynomials, I understood how to do them but because there were a lot of big polynomials that had to be simplified my brain got very crowded and confused and that’s where I would make mistakes but as long a you keep things organised and show your work.

For this polynomial I would first use distributive property for both the 7y(x+4) and the 2(x+4) then I would combine the like terms, and put it in descending order.

If I was dealing with two polynomials that were being subtracted I would still use distributive property then change the sign to the opposite sign, either ”+” or ”-” on each term, depending on what the original sign is, but this is only for subtracting after distributive property has been done then once the signs are flipped we combine like terms.

This week we learned about trig we learned SOH CAH TOA which is sine, opposite, hypotenuse-cosine, adjacent, hypotenuse-tangent, opposite, adjacent. these ratios help you find the missing sides of a right triangle and also help you find the degrees of a right triangle. one thing I had trouble with was identifying which number was the base, height or hypotenuse, in word problems is where I had the most trouble, because if you put the number in the wrong spot your whole answer could be wrong. I learned to look for key words like length, tall, elevation and depression. solving was also a little difficult because you’re given information and essentially have to find answers with what you’re given and there are steps you must take to find everything. To find the sides and angles you must use one of the ratios but if you are given two of the sides and only need to find one you can use Pythagoras, for the angles if your are given a reference angle or have figured out a reference angle you can subtract the reference angle by 90 to get the other reference angle because they should both add up to 90 degrees.

For Example to solve you have to find EF before solving EG or DE or DF. you are only giving a certain amount of information to solve and find everything else, and reference angles are given so you can subtract by 90 to get the other reference angles.