Category Archives: Math 9

DesmosNameMath9H2023

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Reflection:

The letter N and A were the most complicated for. Why? Because the lines were on an angle which was a bit of a struggle. I decided to start with the first letter S because that would make the most sense in this project. The type of equation i used was linear equations. Why did i use linear equations? Because I understood linear equations the most and I have a better understanding on how to use them. How did I move around the slopes? For an example the letter ‘A’ has 2 different kind of slopes. So, for one side i had to make it negative and the other positive. I changed the width of by choosing a smaller number, same with height. 1 strategy I used was copying the equation and changing a few numbers.

 

Adding/ Fractions

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Adding fractions!!

1.   3/5 + 9/3 = ?

firstly, you have to make sure your denominators is the same number. to figure this out, you need to find the common multiple.

5, 10, 15, 20, 25, 30

3, 6, 9, 12, 15, 18, 21

As you see the first common multiple that comes up is 15. So the first fraction would now be 9/15 (3×3=9 & 5×3=15) The second fraction will now be 45/15. (9×5=45 & 3×5=15) Now we can add. KEEP IN MIND!! denominator never changes when we are adding! 45+9 = 54, Now our answer will be 54/15. Now we reduce to lowest terms! We can divide both numbers by 3 EVENLY! 54 divided by 3 = 18 & 15 divided by 3 = 5. NOW our final answer 18/5

 

2. 3/2 + 4/12 + 1/4 = ?

First we need to find common multiples for the denominators.

2, 4, 6, 8, 1o, 12, 14, 16, 18

12, 24, 36, 48

4, 8, 12, 16, 20, 24

The first common multiple that comes up 12. Now we know all fractions are over 12. The first fraction is now 18/12 (3×6 & 2×6) The second fraction does not require to be changed because the denominator is already 12. The 3rd fraction is now 3/12 (1×3 & 4×3) Now we can add everything together!

18/12 + 4/12 + 3/12 = 25/12 – DENOMINATOR NEVER CHANGES WHEN ADDING/SUBTRACTING! Can this number be reduced? No. Because no number goes into both numbers evenly so 25/12 is your final answer.