Jocelyne's B.O.B.

Jocelyne's B.O.B.

SURFACE AREA:

The surface area is the area of the outside part of a shape. For a rectangular prism it would be the 2 sides, the top and bottom, and the front and back. A net is an easy way to show the rectangular prism's area .

The formula for this would be :

surface area = area top + area bottom + area side + area side² + area front + area back
OR
surface area = 2(L x W) + 2(H x L) + 2(H x W)
= 2(4cm x 2cm) + 2(2cm x 4cm) + 2(2cm x 2cm)
= 2(8cm) + 2(8cm) + 2(4cm)
= 16cm² + 16cm² + 8cm²
= 40 cm²

You can use the formula examples i showed you here to help you answer your own surface area question.

VOLUME:

The volume is the measurement of how much space the shape takes up. The answer is always cubed or in an exponent ³.The volume of a rectangular prism would look like this.


The formula for this would be:

volume = L x W x H
= 3cm x 2cm x 2cm

= 12 cm³
OR
volume = area of base x height

= 6cm² x 2cm
= 12cm³

Pythagoras Growing Post

PART 1.

Describe what a Pythagorean Triple is and use your perfect square chart from 1 squared to 10 squared to find another one other than 3,4,5. (Note: You need a picture, not simply text.)

What is a Pythagorean Triple ?

A pythagorean triple is an equation of a² + b² = c ² . A and b are the the legs of a right angled triangle and when the lengths of the legs are added together they equal the hypotenuse which is c. İt uses only 3 perfect square numbers for this question
a² + b² = c²

An example of a pythagorean triple using the perfect square chart:

A² + B² = C²

PART 2.

Using embeddable web 2.0, describe how to find the missing side of a Right Triangle using the Pythagorean Theorem, show how to solve both for a missing leg and the hypotenuse (note: you may use numerical examples ie. a=4 b=6 c=?)

BubbleShare: Share photos - Powered by BubbleShare


PART 3 :
Explain how to solve a Pythagoras word problem. Use one of the examples we covered in class (Worksheet A, B, LeFrog or Bonus Problem).

Lefrog stands 1.5 meters from a wall where a fly is 2 meters up. if Lefrog's tongue comes out of his mouth 70 cm from the ground, how far does his tongue have to stretch to eat the fly ?

This would be the information they gave us in the question:
[ Lefrog stands 1.5 meters from the wall
[ a fly is 2 meters up the wall
[ his tongue comes out 70cm from the ground

It would then look like this . .

The formula for this would be:
a² + b² = c²

You would then fill in the a², b², or c² numbers that you know into the formula, and in the question they only gave us the a and b sides.
1.3m² + 1.5m² = c²

Now you have to square the numbers off by multiplying the base numbers by itself.
1.3m x 1.3m = 1.69m
1.5m x 1.5m = 2.25m

The next part is the area of the squares sides above, so when you add these two areas together it will equal the area of c².
1.69m + 2.25m = c²

So now you add these two together to get the answer for c².
1.69m + 2.25m = 3.94m

Since now we know what c² is you have to find the square root of it by using a calculator. You put in 3.94 and then press the square root button and now you have the the answer to the question.
c² = 3.94m
square root of c² = 1.98m

Lefrogs tongue has to stretch 1.98m to eat the fly.

PART 4.

Now that you have seen many Pythagorean problems, create your own word problem.

Billy-bob is playing basketball at the court, the basket is 8 meters high. Billy-bob is at the foul line which is 10 meters away from the basket. How high does Billy-bob have to shoot the ball to get a basket?

Jocelyne's Scribe

Math Test

QUESTION ONE

In question one I first made common denominators to add the fractions up.

The common denominator i used was 15 so to get the denominator of 15 i multiplied 1/5 by 3 and got 3/15 and for the other fraction i multiplied 2/3 by 5 and got 10/15. after i added the 2 fractions and got 13/15. And then i added up the whole numbers together which gave us 4 then i added up 4 plus 13/15 and gave me 4 13/15.

QUESTION TWO

In this question i made common denominators and the common denominator i used was 12. After i made common denominators i took the 2 mixed numbers and made them into improper fractions and then subtracted them both. the answer was an improper fraction so i simplified it to 1 11/12 .

QUESTION THREE

In this question i switched the numerators around and reduced the 4/8 then just multiplied the 2 fractions. The answer i got was 7/10.

QUESTION FOUR

In this question I made the fractions into improper fractions then switched the numerators. After switching the numerators i reduced the fraction into whole numbers. I multiplied the whole numbers together and it gave me the answer of 12.

Jocelyne's Second Growing Post

1. Strategies

The strategies i used to get the answers were dividing and multiplying .



2.how i used this strategy:



12 cups
2 2/5 * 5 = 12


SHREDDIES - 1 1/5 * 5 = 6 cups

PEANUTS - 4/5 * 5 = 4 cups


PRETZELS - 2/5 * 5 = 2 cups

6 + 4 + 2 =12 CUPS

i multiplied the cups by 5 because 2 2/5 multiplied by 5 equals 12.




1/2 CUP
12 / 24 = 0.50 or 1/2

SHREDDIES - 6 / 24 = 3 / 3/12

PEANUTS - 4 / 24 =2 / 2/12

PRETZELS - 2 / 24 =1 / 1/12

3 + 2 + 1 = 6 is half of 12 equals 1/2

i divided the answers of the 12 cups by 24 because 12 divided by 24 equals 0.50 / 1/2 cup.

2.

3.

*How much pizza does each student get in the different groups?
G1-3 pizzas, 4 people
each get 3/4 of pizza

G2-4 pizzas, 5 people
each get 4/5 of pizza

G3-5 pizzas, 6 people
each get 5/6 of pizza

G4-7 pizzas, 8 people
each get 7/8 of pizza

*Which group gets the largest portion of pizza?
G4 gets largest portion of pizza because they get 7/8 of the pizzas

*Show how you found your answer in 2 different ways.
For my strategie using circles I just cut the circles up into equal pieces and then used fractions.

For my strategie uing money I made the pizzas into dollars so it ould look like 3 pizzas equals $3.00 then i would divide the $3.00 by the number of people their sharing the pizzas with then it would give us a decimal answer then you would convert into a fraction.

*What strategies did you use in finding your answer.
Strategie #1: using circles
Strategie #2: using money

*Show your answer is 2 different ways. I would recommend that you create a voicethread of your work.