Delica's Measurement Growing Post

Question 1: What is the Pythagorean Theorem? You should use words, pictures, symbols and numerical examples.

What is the Pythagorean Theorem? Well my friends, it’s a formula. The formula is a² + b² = c² . That means altitude squared plus base squared is equal to the hypotenuse squared. The side that is opposite of the right angle is the hypotenuse. The base and altitude are the other two, but they’re also called legs.

A= Altitude
B=Base
C=Hypotenuse

Now lets just say that A is 10 cm,

B is 10 cm, and you're solving for c.
Well you would go:
a² + b² = c^{2
10 2 + 10 2 = c 2
100 + 100 = c 2
200√ = c
c= 14.2}







Now we're solving for B instead of C ! Yes...quite intense. But, don't be scared, it's just as easy:) alrighty, so first try to think it out on ur own without looking at the answers............ okay, now I'll work you through it. So now since you are trying to figure out what B is, you would go C2-A2=B2.
So we know that C is 9 and A is 8. So 9 squared is 81, 8 squared is 64, therefore we have 81 - 64 = C 2. Now, 17 = B 2. Then you get the square root of 17 ! which is 4.2 . And then BAM ! B = 4.2 CM !!! Its super fun once you get the hang of it ! :)






Question 2: How do you find the surface area of a right recta ngular prism? You should use words, pictures, symbols and numerical examples.

A right rectangular prism is a six sided rectangle with all right angles, like a cube, but longer. Now lets find the surface area. The formula is:

SA= 2 ( L x W ) + 2 ( L x H ) + 2 ( W x H )

soo.....

SA= 2 ( 6 x 4 ) + 2 ( 6 x 6.5 ) + 2 ( 4 x 6.5 )
SA= 2 (24) + 2 (39) + 2 (26)
SA= 48 + 78 + 52
SA= 178 cm

HOW COOL ?! ;)

Question 3: How do you find the surface area of a right cylinder? You should use words, pictures, symbols and numerical examples.

A right cylinder is basically just a tube, with a circle on both ends, like a can, or a jar.The Formula is 2πR 2 + 2πRH















These lipsticks are all cylinders ! :)

Question 4: What is a polygon and how do we classify one?

A polygon is simply a shape made up of three or more straight lines that all connect. A regular polygon has sides that that are all the same size, and it has as many sides as vertices. An irregular polygon is just the opposite; sides with different lengths are angles. IT'S SIMPLE !

Sabrina's Growing Post

Question 1: What is the Pythagorean Theorem? You should use words, pictures, symbols and numerical examples.

The equation for the Pythagorean Theorem is A2 + B2 = C2...

Question 2: How do you find the surface area of a right rectangular prism? You should use words, pictures, symbols and numerical examples.

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Question 3: How do you find the surface area of a right cylinder? You should use words, pictures, symbols and numerical examples

Question 4: What is a polygon and how do we classify one?

Grant's growing measurement post

Question 1: What is the Pythagorean Theorem? You should use words, pictures, symbols and numerical examples. (10 Marks)














Question 2: How do you find the surface area of a right rectangular prism? You should use words, pictures, symbols and numerical examples.(10 Marks)


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Question 3: How do you find the surface area of a right cylinder? You should use words, pictures, symbols and numerical examples. (10 Marks)













Question 4: What is a polygon and how do we classify one? (10 Marks)

Allison's Measurement Growing Post

Question 1: What is the Pythagorean Theorem? You should use words, pictures, symbols and numerical examples.

A right angle triangle has a base, altitude, hypotenuse and a right angle.

The Theorem of Pythagoras, (which was named after the famous mathematician Pythagoras), is a formula that is written as a² + b² = c². The a represents the altitude, the b represents the base and the letter c represents the hypotenuse.

This formula states that the altitude squared, plus the base squared, equals the hypotenuse squared of a right angle triangle. (This formula only works on right angle triangles!)

Now, let's solve an equation with a missing hypotenuse. Don't worry, if you use the formula correctly this equation should be easy.

Let's solve one more equation, except this time, the equation will have a missing leg, (altitude or base), instead of the hypotenuse. This may seem tricky, but if you use your knowledge of algebra, it should be a piece of cake!

Question 2: How do you find the surface area of a right rectangular prism? You should use words, pictures, symbols and numerical examples.

You may not realize it, but we see right rectangular prisms everywhere during our everyday lives. Some examples include....

Cereal Boxes

Speakers

DVD Players

Jewellery Boxes

You can easily find the surface area of a right rectangular prism by using the following formula:

SA = 2 (lw) + 2 (lh) + 2 (wh)

This is a net of a right rectangular prism. When it is folded correctly, it creates a rectangular prism.

Using the rectangular prism I made and its dimensions, let’s figure out its surface area.

SA = 2 (l h) + 2 (h w) + (l w)
SA = 2 (15 8) + 2 (8 5) + 2 (15 5)
SA = 2 (120) + 2 (40) + 2 (75)
SA = 240 + 80 + 150
SA = 470 m²



Question 3: How do you find the surface area of a right cylinder? You should use words, pictures, symbols and numerical examples.

A cylinder is a solid that has two parallel, congruent circular bases. We actually see cylinders everywhere around us. Here are some examples of cylinders you might be familiar with:

Soup Cans

Frozen Juice

Pop Cans

Here is a picture of a cylinder and its dimensions.

This is what the cylinder above, would look like if it was flattened out. This is called the cylinders’ net.

Finding the surface area of a cylinder is quite simple, if you use the correct formula. The formula is:

SA = 2п r² + 2п r

Using the same cylinder, let’s figure out how to find the surface area.
SA = 2п r² + 2п r h
SA = 2 (3.14) 5² + 2 (3.14) (5) (12)
SA = 2 (3.14) 25 + 6.28 (60)
SA = 157 + 376.8
SA = 533.8 cm²

Question 4: What is a polygon and how do we classify one?


A polygon is classified as any closed figure that has three or more straight line segments.

Chart of Polygons Having up to 10 Sides

>

There are two types of polygons, regular and irregular. An irregular polygon is classified as having angles of different sizes and sides of different lengths.

Examples of Irregular Polygons

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A regular polygon is classified as having sides of equal length and angles of the same size.

Examples of Regular Polygons

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Not Polygons

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Christians growing measurement post

Question 1:What is the Pythagorean Theorem? You should use words, pictures, symbols and numerical examples.words, pictures, symbols and numerical examples.
The Pythagorean Theorem is a theory that is used to find the missing measurement of a side on a right triangle.



Question 2: How do you find the surface area of a right rectangular prism? You should use words, pictures, symbols and numerical examples. The formula for finding the surface area of a rectangular prism is: 2lw + 2lh + 2wh.


Question 3: How do you find the surface area of a right cylinder? You should use words, pictures, symbols, and numerical examples. The formula for finding the surface area on a right cylinder is=


Question 4: What is a polygon and how do we classify one?
A Polygon is a closed figure with straight edges.

Sarahs Measurement Growing Post

Question 1: What is the Pythagorean Theorem? You should use words, pictures, symbols and numerical examples. (10 Marks)
"A" stands for altitude, "B" stands for base, and "C" stands for hypotenuse.

In this diagram, we do not know the measurement of C. To find C, we use the Pythagorean Theorum. The Pythagorean Theorum is that the altitude of a right triangle squared added to the base of a right triangle squared is equal to the hypotenuse of a right triangle squared. We do this:

4.5 squared + 6 squared = C squared

20.25 + 36 = C squared

56.25 = C squared

Now, you have to find the square root of 56.25. Don't forget our algebra unit; what you do to one side you must do to the other.

The square root of C squared is C.

The square root of 56.25 is 7.5.

The hypotenuse in this diagram is 7.5 meters.

For this question, our altitude is missing. But we still use the Pythagorean Theoru. We do this :

A squared + 6 squared = 10 squared

A squared + 36 = 100

A squared = 100 - 36

A squared = 64

Now we have the same last step as our first question, and we do the same thing. Figure out the square roots:

The square root of A squared is A.

The square root of 64 is 8.

Therefore, the altitude of this right triangle is 8.

Question 2: How do you find the surface area of a right rectangular prism? You should use words, pictures, symbols and numerical examples.(10 Marks)

A right rectangular prism is a 6-sided rectangle with all right angles. To find out the surface area of a right rectangular prism, you must use this formula:

2(LH) + 2(LW) + 2(HW)

You use this formula because there are 6 sides, front, back, left, right, top, and bottom. The front and the back have the same height, lenght, and width, left and right have the same heigh, length, and width, and top and bottom have the same height, length, and width.

These are two pictures of rght rectangular prisms that i found on the internet:

Alright, to figure out the Surface Area of this net we will use this formula:

2(LH) + 2(LW) + 2(HW)

So, our problem should look like this:

2(5x5) + 2(5x3) + 2(5x3)

Now, we multiply:

2(25) + 2(15) + 2(15)

Again, we multiply:

50 + 30 + 30

Now all we have to do is add:

110

Our Surface Area is 110 meters.

Question 3: How do you find the surface area of a right cylinder? You should use words, pictures, symbols and numerical examples. (10 Mark)

To find the surface area of a right cylinder, you must use this formula:

2(3.14 or pi) r squared + 2 (3.14 or pi) r h

(r stands for the radius, h stands for height)

The radius for this cylinder is 3 cm, the height 9 cm. Can you figure out how to do it?

Well it doesnt matter if you can or not, cause i'm going to tell you anyway:)

We do this:

2(3.14) 3 squared + 2 ( 3.14) (3) (9)

2 (3.14) 9 + 2 (3.14) (3) (9)

6.28 (9) + 6.28 (3) (9)

56.25 + 18.84 (9)

56.25 + 169.56

SA = 225.81 cm squared

What is a polygon and how do we classify one? (10 Marks)

A regular polygon is a polygon whose sides are all the same and whose angles are all equal , whereas an irregular poygons sides are different in length and the angles are different measurements. To classify a polygon, you first need to know the exact definition of a polygon.Definition : any closed figure with 3 or more straight sides.The next step to classifying a polygon, would be to determine whether it is a regular or irregulat polygon, using the definitons above it shouldnt be too difficult. And then, your done classifying ! :)

This picture below is an example of some classified polygons :

Arjan's growing post

Question one: What is the Pythagorean Theorem? You should use words, pictures, symbols and numerical examples.







Pythagorean Thereom was discovered by famous greak philosopher name pythgoras. Pythagoras discoverd a concept and that is altitude square plus base quare plus hypotenuse





























Question two: How do you find the surface area of a right rectangular prism? You should use words, pictures, symbols and numerical examples.





A rectangular prism has two ends and four sides. A rectangular prism has 90 degress angle. The formula of the surface area is 2(LxW)+2(LxH)+2(HxW)





Ex: Surface Area= 2(LxW)+ 2(LxH)+ 2(WxH)


2(12x8) +2(12x6)+ 2(8x6)


2(96)+ 2(72) +2(48)


192+144+96


432msquare














Question three: How do you find the surface area of a right cylinder? You should use words, pictures, symbols and numerical examples.





Question four: What is a polygon and how do we classify one?




Regular Polygon is a basic polygon that doesn't intersect with anywhere. All the angles of a polygon are equal and all the lengths are the same.









Irregular: Irregular polygons have different lengths and angles of different measures.

Eric C's Measurement Growing Posts

Question 1: What is the Pythagorean Theorem? You should use words, pictures, symbols and numerical examples. (10 Marks)

The Pythagorean Theorem is a relation in Euclidean geometry among the three sides of a right triangle. The Theorem is named after a Greek Mathematician Pythagoras, who by tradition is credited with its discovery, although knowledge of the Theorem almost predates him.





Question 2: How do you find the surface area of a right rectangular prism? You should use words, pictures, symbols and numerical examples.(10 Marks)

A rectangular prism is a cuboid figure that all angles are right angles and opposite faces of a cuboid are equal.



Question 3: How do you find the surface area of a right cylinder? You should use words, pictures, symbols and numerical examples. (10 Marks)

A right cylinder is a 3 dimensional object that both top and bottom are round circles.

Question 4: What is a polygon and how do we classify one? (10 Marks)

A regular Polygon is a simple polygon that all sides are equal and a irregular polygon is a more complex polygon and all sides are mostly not equal.













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Laura's Measurement Growing Post!!

Question 1: What is the Pythagorean Theorem? You should use words, pictures, symbols and numerical examples.

Question 2: How do you find the surface area of a right rectangular prism? You should use words, pictures, symbols and numerical examples.

Question 3: How do you find the surface area of a right cylinder? You should use words, pictures, symbols and numerical examples.




Question 4: What is a polygon and how do we classify one?

Miko's growing post

Question 1: What is the Pythagorean Theorem? You should use words, pictures, symbols and numerical examples.


1. The Pythagorean Theorum is finding the hypotenous through 1 equation: A2 + B2 = C2. A is the altitude of a right triangle B is the base of the right triangle and C is the hypotenous of the right triangle. First multiply the altitude and the base by itself once and add each other. Then find the square route of the hyypotenous. The pythagorean theorum works like this:
The area of the length and base add up to the Hypotenous.






















Question 2: How do you find the surface area of a right rectangular prism? You should use words, pictures, symbols and numerical examples.


2.


























Question 3: How do you find the surface area of a right cylinder? You should use words, pictures, symbols and numerical examples.


3.



















Question 4: What is a polygon and how do we classify one?


4.