873 Math Blog

Part A

1) 245% of $356.80

2) 68 3/4% of 730

3) 360% of $129.95

Part B

1) The commission for the sale of a house was 6 3/4%. If the house sold for $345 000, how much was the commission. Show your thinking.

3)Miguel bought a car for $4700. He made a down payment of 19 1/2%. How much was the down payment?

Our video presentation on Winnipeg Poverty. By : Leomar Serapio, Richard Maquimot, Robert Cruz, Francis Aguila. Please make a difference by donating. Hope you enjoy.

Adding Fractions:
1st : Find a common denominator.
2nd : Add the numerator to a numerator.
3rd : Add the denominator to a denominator.
Last : Simplify it. (only if possible)

Adding Mixed Numbers:
1st : Convert the mixed numbers into improper fractions.
2nd : Fina a common denominator.
3rd : Add the numerator to a numerator.
4th : Add the denominator to a denominator.
5th : Convert the answer into a mixed number.
Last : Simplify it. (only if possible)

Subtracting Fractions:
1st : Find a common denominator.
2nd : Subtract the numerator to a numerator.
3rd : Subtract the denominator to a denominator.
Last : Simplify it. (only if possible)

Multiplying Fractions:
1st : Multiply the numerator to a numerator.
2nd : Multiply denominator to a denominator.
Last : Simplify it. (only if possible)

Multiplying Mixed Numbers:
1st : Convert any of the mixed numbers into improper fractions.
2nd : Multiply the numerator to a numerator.
3rd : Multiply the denominator with a denominator.
4th : Convert the answer into a mixed number.
Last : Simplify it. (only if possible)

Dividing Fractions:
1st : Find the reciprocal. (one of the fractions upside down)
2nd : Multiply the numerator to a numerator.
3rd : Multiply the denominator to a denominator.
4th : Convert the fraction into a mixed fraction.
Last : Simplify it. (only if possible)

Dividing Mixed Numbers:
1st : Convert the mixed numbers into improper fractions.
2nd : Find the reciprical. (one of the fractions upside down)
3rd : Multiply the numerator to a numerator.
4th : Multiply the denominator to a denominator.
5th : Convert the answer into a mixed number.
Last : Simplify it. (only if possible)

Problem #2
It takes 2 1/4 scoops of flour to make one cake. How many cakes do 15 schoops of flour make?

Problem #3
One day in Winnipeg with 10 1/2 hours of daylight, it was sunny for 1/3 of that time. For how many hours was it sunny that day?

^^I couldn't rotate it since it was read-only.

Today in Skills, Mr Harbeck told us to answer these two questions:
1 3/4 + 1 1/8 =

2 4/5 + 1 1/2 =

And we were told to explain how to add the mixed numbers.
Here is the first question:

1 3/4 + 1 1/8=

1 12/16 + 1 2/16 = 2 7/8
So what I did was that I added the whole numbers first and it was 2. Then I made the denominator 16 instead of 32 because it would save me some time. I knew 3 quarters of 16 were 12 and 1 eighth of 16 was 2. Then after, you just add the fractions and it would be 14. But since 14 and 16 were equal, i divided it by 2. So the fractions is 7 over 8.

2 4/5 + 1 1/2 = 4 3/10
So what I was was that I made the denominator 10 because 5x2=10. Then I made the numerator 8 because 5 fits into 10, 2 times. Then I made the other numerator 5 because 2 fits into 10, 5 times. I knew if you added 5+8 it would make an improper fraction. So I made another whole number. Then I added all the whole numbers up and it became 4 3/10.

That is how you add mixed fractions. Thank you.

So today we corrected right angle problems and the mean, median, and mode problem. Then, we were given 3 problems to solve using the Pythagoras theorem. TEST : THURSDAY. These problems will help you better on the test.

By the way, √ <-- this means the square root. Question 1:
a^2+b^2=c^2
a^2+2^2=8^2
-2^2 -2^2
a^2=8^2-2^2
a^2=64-4
a^2=60
√a^2=√60
a=7.745

Question 2:

a^2+b^2=c^2
a^2+13^2=20^2
-13^2 -13^2
a^2=20^2-13^2
a^2=400-169
a^2=331
√a^2=√331
a=18.193

Question 3:

a^2+b^2=c^2
6^2+b^2=23^2
-6^2 -6^2
b^2=23^2-6^2
b^2=529-36
b^2=493
√b^2=√493
b=22.206

After, we were given these questions:

I can't really help you on this because I don't understand the last 2 questions.

But the first questions answer is : 1/3

Thank you for reading! Tomorrow is my last day! Comment!

We have been learning about the Pythagoras Theorem for about 2 weeks now. I am going to explain what have we learned so far in this lesson.

By the way, here are some words you will need to know throughout this lesson:
Hypotenuse-the opposite side of a right angle and is the longest side which is c.
Legs-the sides of the right angle of 90 degrees
R.A.T-means right angled triangle
Pythagoras-
Shapes

Square

There are 4 angles that have 90 degrees in this square. In total, it is 360 degrees. So this means this square is quadrilateral.

Right Triangle

R.A.T, Right angled triangle
half of a square
O=theta B=beta
theta and beta are both less than 90 degrees
theta+beta=90 degrees - complementary

Rectangle

There are 4 angles that have 90 degrees, like the square. Which means they can both be quadrilateral.

Right Angle

O=theta B=beta
half of a rectangle
theta and beta are less than 90 degrees
a-leg 1 b-leg 2 c-hypotenuse
c=hypotenuse
(hypotenuse means the longest side)

Here is Pythagoras' theorem:
a^2+b^2=c^2

I will try to help you solve this theorem by showing 2 examples.

So here we are trying to find side a which is the length where the question mark is. 8mm will be side b and 10mm is side c.

a^2+b^2=c^2
a^2+8^2=10^2
-8^2 -8^2
a^2=10^2-8^2
a^2=100-64
a^2=36
Now we try to find the square root of a^2 and 36.
a=6
a+a=|----|
6+6=12mm

Here is the second example:

So here all we know that the area is 225cm^2. We have to try and find the perimeter of the board.

225cm^2=s^2
Now we try and find the square root of 225cm^2 and s^2
15=s
s=legs/a,b
So from this, we can find side a side b and side c by using the theorem.
a^2+b^2=c^2
15^2+15^2=c^2
225=225=c^2
450=c^2
Now all we have to do is find the square root.
21.21=c

So now we know that a=15 b=15 and c=21.21
If we add this all up, we will find the perimeter of the board.

P=(15+15+21.21)+(15+15+21.21)+(15+15+21.21)+(15+15+21.21)
P=51.21+51.21+51.21+51.21
P=204.84
or
P=8(15)+4(21.21)
P=120+84.84
P=204.84

Here is a video of finding side c with the theorem.


Here is another video but finding side a.


That is all for my research about the Pythagoras Theorem. I hoped you learned alot. Thanks, comment.

I didn't manage to finish this early because my computer is being repaired so I will try to get this picture up as soon as possible. So over the winter break, I decided to help anyone in any way I can. But I am going to tell you about shoveling my neighbors driveway. I know a lot of people worked on this because they thought this would be the easiest way but I only worked on this because this was the picture I could take at the time. I did other things but I will try to pay it forward more. So I helped my neighbor by shoveling their sidewalk of snow and did this whenever I had the chance.

Here is a picture of me shoveling:

So when I was shoveling my neighbors sidewalk I felt like courage was welling up inside of me. I just felt like I had to do it and finish it for them. I didn't have the chance to talk to my neighbors because I shoveled around 10-11 pm. But I will try to get a chance and hope they will understand because they are elderly.

I definitely think one person can make a difference because when you help a person, courage wells up inside of them which makes their dreams in to reality. Also this person will start thinking or dreaming of ways to help others. Once you help this person they will respect you more and help you back maybe.

Thank You, and I will try to get the picture up asap.

Today in class we covered all of our homework from yesterday. After, Mr.Harbeck assigned us pages 5 and 23. In page 5, we only had to fill in the blank from 1-8. Which were A,R,Y,S,O,E,I,and D. Then try to fill up some letters in the statement box.

One example:


Next, page 3. All Mr.Harbeck assigned us to do on this page is to simplify each question then fill out the statement below.

One example:

Sorry if my pictures were too big, I couldn't seem to take out the white space.
That is all we did in class because we had our presentations to rehearse.
For the next Scribe I choose JUSTIN P.

Once upon a time, a boy named Bobby woke up in his school. He was the littlest boy in his grade and had no friends. He didn't know why he woke up in his school. He looked at the clock above him and it was 8:30. He knew students would start coming in the school at 9:00. He looked at himself and realized he had no jeans, shoes or a t-shirt on. So he explored the school to look for some clothing and found something sticking out of a locker. So he went up to it and found a lock. The lock said, "If you wish to open my lock and find the surprise in this locker, you must solve my question." The question was (+6) + (-2). He was surprised the lock could talk but had to think of the question. So he thought of algebra tiles from his math class.




He solved the question, put on the shoes and moved to the washroom.

Ok this is what happened in class today:

We played this game with a die in a die. I know some of you might not understand but I actually found a picture on google :


Okay, here is how you play the game:

Wait! Before you play answer this question - Is this game fair? why?
Okay heres how you play:

1. you have a player and an opponent
2. both players start with 10 points
3. only the player gets to roll the die
4. if the player rolls a 7 he gains 3 points and the opponent loses 3 points
5. if the player rolls anything different from a 7, the player loses 1 point and the opponent gains 1 point
6. you are only allowed 10 rolls
7. if either the player or opponent loses all of his or her points, they automatically lose
8. play 10 games to see who wins the most

Okay, now that you know how to play, you have to answer these questions:
1. Who wins the most? Why?
2. Think Probability
3. Is this game fair?

Here is an example of a game:


Okay I think thats what we mostly did in class because we had bus ridership in the middle of class so we missed a little bit :)


So for the next scribe post I would like :


JUSTIN P.


to do the next scribe post. Thanks! Comment .

Mean

• put raw data into ascending order
• add all numbers to get sum
• divide sum by how much numbers there are
• if you have an outlier it changes the mean
  

Median

• put raw data into ascending order
• find the middle number
• if there is 2 numbers left add and divide by 2
• if there is an outlier, median is the best way to find the average
  
  

Mode

• put raw data into ascending order
• most common data
• you can have more than 1 mode
• you can have no mode
  

Range

• put raw data into ascending numerical order
• largest data minus the smallest data
  

Here is a great video explaining MMM