This week in Math 10 I learned about the 4 steps to solve word problems. As week as this we learned about the translating hints that can help us decode the word problems and make it easier to understand.
Translating Hints:
Switch Words: From, than
Examples:
Two from eight
Five larger than three
Equal Sign (=):
verbs: is, was, will be
examples: run, walk, drive climb
The 4 steps include:
Declare the variables
Write systems (2 equations)
Solve(substitution/elimination)
Answer in sentences(does the answer make sense)-include units(people, cars, money etc.)
This week in math 10 I learned about two of the possible ways to solve a linear equation.
Those being:
Elimination vs. substitution
Elimination:
For elimination you add or subtract two equations to be able to get a variable. Therefore, one of the variables are eliminated and the rest of the problem can be solved for the other variable as well.
We also used:
Substitution:
For substitution you substitute in a value from one of the variables into one of the other equations. They then are formed into a solvable linear equation.
During this project I enjoyed being able to discover new equations to use to complete the requirements set. I found it challenging at time to figure out what equations would match up to the line I needed at a given point. As well as that, I found it a lot easier to complete once I got the hang of it and it was much quicker to complete once I was understood it better.
This week in math 10 I learned about the vertical line test. The vertical line test uses vertical lines to identify whether something is a function or not. You do this by taking the graph given to you, and drawing lines across the coordinates. If they touch the lines in more then one place, it is not a function and if it doesn’t touch the lines in more then one place, it is a function.
This week in math 10 I learned about Domain and Range.
Domain: Domain has all the possibilities for input that can be taken by a function. Ex: if you have the function that gives the cost of pencils the domain would be the number of possible pencils you could buy.
Range: Range is the possibilities for output that can possibly be produced by said function. Ex: Range is the possible costs for pencils you can be subject to.
This week in Math 10 I learned the difference between discreet and continuous variables. The differences between the two include: Discreet: Countable, nothing in between
This week I learned about factoring trinomials. You do this by taking the number, taking the third number (usually without the x) and figuring out what multiplied together to get that number, equals the middle number). And then putting those numbers, in the brackets and long with your x’s(to get xsquared).
This week I learned about how to figure out the volume of a cube when the sides are polynomials. You do this by taking said polynomial for example (3x^2+9) and timing it by three aka (Lengthxwidthxheight). Then you will get the product, you can do this by timing (3x^2+9) 3 times as said previously or doing two, getting that product and timing that last polynomial in, to get your final answer. You can do this with foil, my preferred choice.
