Week 17 in Math 10

This week in math we learned about substitution, an algebraic method of finding solutions for systems. So to start, when you are given a question with 2 different equations, you pick one of the equations and rearrange it so it is x= or y=. You then plug in, or ‘substitute’ this equation into the other equation […]

Week 15 in Math 10

This week in math we learned how to determine the y-intercept and slope of a line by its equation as long as it’s in slope-intercept form. So First off, slope-intercept form is y=mx + b, where m is the slope and b is the y-intercept. So for example, if I gave you the equation y=6x+2, […]

Week 14 in Math 10

This week in math we learned how to calculate the slope of a graph. So first, the basic rule is slope=rise/run. To start, find the rise by finding the point at where the incline starts on the y-axis, then you would find the ending point of that slope on the same axis. Subtract the first […]

Week 13 in Math 10

This week in Math we learned how to find the x and y-intercepts using an equation. Some things to know: even if it doesn’t look like it, a pattern could have intercepts when it extends, and if there is a 0 in an ordered pair, that is an intercept. An x-intercept in an ordered pair […]

Week 11 in Math 10

This week in math we learned how to determine a perfect square trinomial and how to predict a missing part of the equation. To determine a perfect square trinomial these are some rules: the first term is a perfect square (including the invisible 1), The third term is a perfect square, and the second/middle term is the square root […]

Week 10 in Math 10

This week in math we learned how to determine the difference of a square. First, to understand how this works you’ll need to know how conjugates work. A conjugate is when two simple binomials are multiplied together and the answer you get is also a binomial, compared to where you would usually get a trinomial […]

Week 9 in Math 10

This week in math we learned how to use patterns to quickly mentally answer simple binomials. Here is an example: (x+8)(x+2)–>x²+10x+16 (x-6)(x-2)–>x²-8x+12 (x-3)(x+9)–>x²+6x-27 (x+4)(x-7)–>x²-3x-28 If you haven’t picked up the pattern yet, here is a written explanation. To get the answer you take the second term of each binomial and add them together, which is attached to x. You use […]

Week 8 in Math 10

This week in math we learned how to ‘solve’ a triangle. So if you’re going to solve a triangle, you should probably know what that means first. To solve a triangle is to find all the missing information about it, so any missing sides or angles. You can finish solving the triangle, using previous lessons and […]

Week 7 in Math 10

This week in math we learned how to use trigonometry to find side lengths of right triangles. To start off remember SOH CAH TOA, which means sine=opposite (O)/hypotenuse (H), cosine=adjacent (A)/hypotenuse, tangent= opposite/adjacent. This equation is very important for every trig equation: ratio (reference angle)= side 1/side 2. So for an example, say you’re given […]