816 Math Blog (2011): Angelaa816

Showing posts with label Angelaa816. Show all posts

Saturday, March 10, 2012

Angela's Surface Area and Volume Post

*click on the images to enlarge*

How to find the Total Surface Area of a Rectangular Prism:

Method 1:

Step 1: Find the areas of all the rectangles, FRONT, SIDE, and TOP.

Finding the area of the TOP rectangle:

Dimensions:
l = 5m
w = 10 m

l x w = area
5 x 10 = area
50m² = area

Finding the area of the FRONT rectangle:

Dimensions:
l = 6m
w= 10m

l x w = area
6 x 10 = area
60m² = area

Finding the area of the SIDE rectangle:

Dimensions:
l = 6m
w= 5m

l x w = area
6 x 5 = area
30m² = area

Step 2: After you've found the area of the three rectangles you add them all up together:

50m²+60m²+30m²= 140m²

Step 3: After you've added all three sides you need to multiply the answer by 2:

140m²x 2 =SA
280m²= SA

METHOD 2:

Step 1: Draw the NET of the rectangular Prism.

Step 2: Find the Area of the Lateral area:

To do this you need to....

Find the length by adding up the lengths of the rectangles:

6 + 5 + 6 + 5 = 22 m

l x w = LA

22 x 10 = LA

220m²= LA

Step 3: Find the area of the other 2 identical rectangles:

l x w = a

6 x 5 = a

30m²= a

Step 4: Add up all the areas:

SA= LA+2(l x w)

SA= 220+2(5 x 6)

SA= 220+2(30)

SA= 220+60

SA=280m²

How to find the Total Surface Area of Triangular Prisms:

How to find the Total Surface Area of Cylinder:

Here are some links that will help you get more practice:

Here's also a video:

Don't forget to play the new Manga High Challenges!:

Finding the Volume of a Rectangular Prism:

Finding the Volume of a Cylinder:

Finding the Volume of a Triangular Prism:

Here are some games that will enable you onto practicing on finding the volume of a shape:

Monday, January 9, 2012

Angela's Scribe Post - Prime Factorization

Today in class we started off with listing the things we know about rectangles and squares.

Rectangles:

Has four sides:
Consisting of 2 sets of parallel sides
The sides are labeled as "l" for length and "w" for width. (Making it different from squares)
To find the perimeter of a rectangle you add all of the lengths and widths all together, and the formula is perimeter = 2l + 2w

Next we determined how to find the area of a rectangle:

Squares:

4 equal sides
To determine the perimeter of a square you multiply its sides to four or add all of its side together. (perimeter = 4 s)

Next we determined how to find the area of a square:

After that we learned about Prime Factorization:

Prime Numbers: Have only 2 factors 1 and itself.

2, 3, 5, 7 are examples of prime number. (more here)

How to determine if something is squared:

Put all numbers (from the Line of Prime Factorization) onto a square:

2. Multiply each side:

If each side are equivalent to each other then the number is a squared. But in this case both side are not equivalent making the number 24 not squared.

Here's a video to help you more with squares, rectangle, and prime factorization:

Here are some games on:

Factors

Prime Factorization

Squares and Square Root

Don't forget to finish the following home works:

Home work booklet pg. 22-25
Play Manga High Challenges. (And other games)

Don't forget to comment!

PART II: Pythagorean Relationship

1. Answer in a short paragraph and with diagrams:

The Pythagorean relationship is the relationship between the lengths of the sides of a right triangle. The sum of the areas of the squares attached to the leg of a right triangle equals the area of the square attached to the hypotenuse.

For Example:

Legs:

The legs are the two shorter sides of a right triangle.
The legs of a right triangle are perpendicular to each other.

Hypotenuse:

The longest side of a right triangle.
Is opposite of the right angle.

2. Solve for the missing side length.

3. Is this a right triangle? Prove it!!!

Wednesday, November 23, 2011

We Day

It was on November 23rd that the first We Day occurred in Winnipeg. 16 000 students and educators came together at MTS center and celebrated the accomplishments of those that contributed to a better global village. And among those 16 000, were me and about 30 others. In We Day we were able to hear 'we stories' of speakers and activists such as Al Gore (former vice president of the USA), Mia Farrow (actress/activist), Paul Martin, Rick Hansen, Hannah Taylor(Lady Bug founder), Dennis White Bird, Spencer West (Speaker), Michel Chikwanine, and of course Marc and Craig Keilburger and so much more.

Among those speakers was Michel Chikwanine who delivered his we story in silence through placards. He did this for the mere sake of those around the world, children to be exact,who's freedom to speak were stripped away from them. Those whose rights are to have an equal education and childhood like us. By doing this he

promoted the campaign he along with Free the Children created, The Vow of Silence, which is to take action on November 30th. The Vow of Silence is basically standing in solidarity with children who are silenced by poverty, disease and exploitation. Connecting to this Michel was a normal kid playing soccer in his home town in Africa. Until he was kidnapped, drugged and given a gun to kill and shoot the innocent at will. Among those he shot was his best friend, Kevin. He spoke on behalf of 300 000 child soldiers who didn't have the voice or right to speak.

Another speaker was

Rick Hansen, who suffers from a spinal cord injury waist down. Resulting him to be paralyzed waist-down. In spite of his disability he proved that he can achieve his dreams. And he did. He won 19 international wheel chair marathons and represented Canada at the 1984 winter Olympics. He embarked on a journey around the world with some friends and traveled across 34 countries, raising over $26 million. He proved that"there are no walls too big in life that can't be climbed", referring to when he came to the Great Wall of China. And that "it's not what happens to you it's what you do with it that matters".

Numerous of times throughout the day we repeated two words, 'WE ARE'. It was a reply to the question on "who's the change", "who's feeling inspired", "who's starting the action" and so much more that I forgot because of all the screaming that occurred then. The event We Day would have never happened if it were not for 11 year old, Craig Keilburger, starting the Free the Children campaign, and for those who stood up with him. It just shows that no matter how old you are YOU can make a difference in the world, local or globally. We Day was an experience of a lifetime. It was an event that empowered youth such as myself to be the change that I see in the world.