Something I’ve learned this week was multiplying polynomials using the FOIL technique. FOIL is a type of distributive property.

FOIL stands for – i,e (a+b)(c+d)

First term in each bracket (ac)

Outside terms (ad)

Inside terms (bc)

Last term in each bracket (bd)

For example:

(x + 6)(x + 4)

= + 4x + 6x + 24

Once you solved the multiplication after foiling, you the collect “like terms’

(x + 6)(x + 4)

= + 4x + 6x + 24

=  + 10x + 24

Down below I included a picture that has arrows connecting the terms you multiply together.

I didn’t have any challenges with this chapter yet because it is mainly the same things that I did last year during polynomials in Math 9.

 

 

During trigonometry I learned how to find a missing angle using sin, cos or tan and the side lengths given. In the example that I’ve inserted, I used sin to figure out angle x. In order to find an angle in a right angle triangle you must have 2 out of the 3 side lengths. To determine what trig function to use you start out by labeling each side as opposite (opposite side of the angle you are trying to find), the hypotenuse (the side across from the right angle/the longest side of the triangle, and the adjacent (the side left over / the same side as the angle). Since I was only given the opp and hyp I would use sin (Soh Cah Toa helps me remember). To calculate the final answer you would punch in ” ” on your calculator.

In the beginning I had challenges on what way to use the trig functions ( sin or ) and where to put the given information in word problems. By the end of the chapter I completed enough review to fully understand what to do.

I learned about finding the surface area and volume of prisms, cylinders, pyramids and cones. Above I have an example of find the SA and V of a cone. Each shape has its own formula so its mostly based around which one to use and plugging in the correct numbers. Looking at the diagram, it only gave me the vertical height and slant height so I had to use Pythagorean theorem to figure out the radius. Once you have all the measurement required you then solve by replacing the r, h and s with the actual numbers.

The challenges I had with this was mostly with word problems, because sometimes I was unsure of what measurements go where and what to include and what not to include. Overall this was a fairly simple chapter once I did enough review that I needed.

I learned how to convert units from the SI system to the imperial system and from imperial to SI. In the example given, I am converting 208 inches into meters using unit analysis. Depending on what units you are converting, you may have to go through multiple conversions. For me, I had to convert inches to centimeters and then centimeters to meters. When converting and cancelling out a unit, you need to make sure that unit is on the numerator and then again on the denominator, as you can see in the example.