This year in math 10 I used Critical thinking the most to show my understanding of what we learned this year. This year we specifically looked at linear equations and how to solve them on or off a graph to do this I used my critical thinking to solve the math problems I faced.
This year in Social studies I used Communication the most to show my learning, the best example would be my WWII essay in which I will provide a link to: Continuity and Change Essay.docx
This year in weight training I used my critical thinking the most to figure out what exercise would have the best muscle growth, I found that squats, bench press, deadlifts, and shoulder presses would have the best muscular improvement, I cannot reference any project this year for weight training, because we didn’t do any of the sort.
This year in Italian 11 I use Critical thinking to further develop my understanding of a new language specifically “la famosi persone” project which I have provided the link towards. Il Famosi Persone, Carlo Ancelotti.pptx Ciao!
This week in Math 10 we learned how to identify equations for systems in word problems.
Word problems can be confusing but knowing the meaning behind the words makes them easier. (is) means equals, (and) means +, (the difference) means -, (of) means multiplication, (divided) is division, (too, and from) are switch words meaning you switch the two numbers/variables. For example 2 from 8 would be 8 from 2.
In the two images you can see the highlighted keywords, making these two problems easier. With all the information figured out due to these keywords solving word problems is easy.
This week in math 10 we learned about how many solutions there are in a system. If the slope is the same but the y-intercept is different, there is no solution. If the slope is different there is one solution. If the slope and y-intercept is the same then there are infinite solutions.
Knowing how many solutions there are to a system can help narrow down the best answer.
This week in math 10 we learned about slopes and their importance in a linear equation.
The slope is a integer or fraction that indicates the rise and run a line has, rise being how far up the Y axis the line goes and the run is how far the line will move on the X axis. This is important because without a slope you don’t have a diagonal line if given a two sets or more coordinates you can find the slope which will equal to M. Here is an example from Desmos.
Incase you cannot see the coordinates for this line are (2,4) and (-1,-6) to find the slope we must find the difference between the two X coordinates and the two Y coordinates
2 and -1 have a difference of negative three (-3) this will be our denominator or run is our equation
4 and -6 have a difference of negative ten (-10) meaning this will be our numerator or rise in our equation.
Now that we have both values we put rise/run which is -10/-3 meaning that is our slope
M=(-3/-10)
This week in Math 10 we learned how to solve systems using Substitution and Elimination.
A system is two or more equations that you work on all together to get the right answer. Substitution is when you isolate a variable of your choice for one of the equations, and then you insert the equation into the variable you isolated on the opposite equation. Elimination is when you make zero pairs with one of the equations then add what’s left together, and then isolate the remaining variable.
For any equation in a system Elimination or Substitution will work however it can become filled with fractions and confusing to read, that’s why knowing which equation is which and when to use them is vital when solving Systems.
This week in math 10 we worked with Desmos to help us prepare for our up and coming test on Tuesday the 31st. During the assignment, we had to use all of the different equation formulas to write out our initials on Desmos.
There are my initials, engraved in the graph of Desmos, here are the equations I used to graph these lines.
As you can see there are numerous types of lines that can graph the same or different line on a graph.
This week in Math 10, we learnt how to change certain forms of slope equations to other types
There are 3 types of equations that we learned about, Point Slope form, this is the most reliable form we learned about, Y-intercept form, the most simple form we learned about and the General form which is the most useless because it doesn’t tell us anything about our line on the graph.
General form is when the x and y variables are on the same side of the equation and it all equals zero. The coefficient of x always has to be a positive and nothing can be a fraction.
Point-slope form is when you have the slope to solve the equation and the slope must always be with the X variable while the Y variable must be on the other side.
-2(x-3)=y+15 is our point-slope form.
To change this into General form we must distribute the slope to the variables in the brackets.
after we distribute we see that x is negative which means we have to move x and +6 to the other side. To convert the (-2x) to a (+2x).
And the final step would be to sort all of the Variables with X first Y second and the remaining variables 3rd
