Tier's Pythagoras Growing Post

Part1:
What's the Pythagorean triple?
For those of you who are familiar with the Pythagorean theorem, you might have came across this during your investigations.
But for those of you who aren't, a Pythagorean triple is a set of 3 numbers. In that set of numbers, when all of them are squared, adding the two lowest numbers will equal the remaining number.
*Note: after squaring, the resulting numbers must all be whole number.*

For Example, 3, 4, 5 is a Pythagorean triple.


To figure out if this set is one of the Pythagorean triple, we need to find out if the two lowest numbers squared will equal the highest number squared.

first, the formula, then we apply the measurements, then we squared the numbers that required squaring. then add a and b together.
a2 + b2 = c2
32 + 42 = 52
9 + 16 = 25
25 = 25

if the answers below equal each other, the set is one of the Pythagorean triple.

There are other sets of Pythagorean triple too.
Some of them are 6, 8, 10 and 12, 16, 20. Try them out!




Part2:
How to find the missing Hypotenuse
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Finding to missing leg:
*My Computer Won't upload the Pictures to bubbleshare, sorry.*

Its basically similar to how to find the missing hypotenuse, but instead of the formula: a2 + b2 = c2. The formula used is either c2 - a2 = b2 or c2 - b2 = a2.
pretend these are the givens:
c= 5
b= 4
a= ?

because were trying to find the missing leg a, we use the formula c2 - b2 = a2.

c2 - b2 = a2
52 - 42 = a2
25 - 16 = a2
9 = a2
3 = a

Part3:
You`re locked out of your house and the only open window is on the second floor, 25 feet above the ground. You need to borrow a ladder from one of your neighbors. There's a bush along the edge of you house, so you`ll have to place the ladder 10 feet from the house. What length of ladder do you need to reach the window?

Start With the Formula:
a2 + b2 = c2

a= 25
b= 10
c= ?

a2 + b2 = c2
252 + 102 = c2
625 + 100 = c2
725 = c2
26.92 = c





Part 4:
Lucas wanted to attack Mario with his magic called "PK Thunder". Since Mario is on top of a 19 feet cliff and Lucas was 20 feet away from the cliff with 3 feet long spikes between them, he has to attack from far away. Magic's starting point is from Lucas' hands which is the same height as the spikes from the ground. How long does Lucas' attack have to travel?

Tier's Scribe Post

Today in class, we were introduced to a new investigation. The investigation was explained to us in a SlideShare exactly like the one below.

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As the SlideShare said, there are two lots with the same measurement in Brooklyn where playgrounds are going to be constructed. One lot is in a neighborhood called Carroll Gardens and the other one is in a neighborhood called Flatbush.
The plan for Carroll Gardens was, 3/4 of the empty lot will be a playground. And 2/5 of that playground will be a blacktop.
As for Flatbush, the plan was to construct a playground 2/5 of the lot. And 3/4 of that playground will be a blacktop.

At the end of the slideshow, we were asked these three questions:
- Is one neighborhood getting more blcktop than the other?
- Is there more blacktop space in one lot than the other lot?
- How would you convince the people in the two neighborhoods that your conclusion is correct?

Tier's 2nd Growing Post

Question 1:
1. What strategies were needed?
I needed multiplication and division.

2. How did you use these strategies?
I found out how much 2 2/5 in 12. and i multiplied the answer by each ingredients. For 1/2 cups, I divided 12 cups and the ingredients by 24.

3. Or How could you of used these strategies?
I could use of it using a ratio table.

4. How would you figure out the price of a 6 cup bag of Betty's Snack mix? Use a ratio table.

5. Find 3 other values (amounts of Snack Mix) that could be solved using the same ratio table. Find the $$ of your new container sizes.


Question 2:

Question 3:
26 miles / 8 = 3.25
3.25 x 7 = 22. 75 or 22 3/4.

26 miles / 12 = 2.16
2.16 x 11 = 23.76 or 23 19/25


Question 4:

Self Evaluation:

Growing Post Question 1 Betty's Snack Mix Total (15 marks) 13

Answers all questions 5 marks (1 per Question)

Quality of Answers 10 marks

10= Perfect
8= Great Job but there is room for improvement
7= Good Job but there is much room for improvement
6= Decent job but you need to work harder
5= All work is done but effort is lacking
Less than 5 would be for questions answered incorrectly and without effort and incomplete.

Growing Post Question 2 (10 marks) 8

Embeds the voicethread after question 1 (1 mark)
Creates the Voicethread to answer Question (1 marks)
Add Comments to further elaborate on the strategies used (1 per comment left) Max 4 marks
Math work is correct in the voicethread (4 Marks)

Bonus marks for any person doing more than 4 questions (2 marks)

Growing Post Question 3 (14 marks) 1

Uses Pictures or a voicethread to answer the question (3.5 Marks)
Explains the 7 strategies using 7/8 and 11/12 (7 Marks)
Comments on the voicethread (3.5 marks .5 per comment)

Question 4 Sharing Pizza's (15 marks) 11
Clearly shows How much pizza does each student get in the different groups? (4 marks)
Shows which group gets the largest portion of Pizza (2 marks)
Show how you found your answer in 2 different ways. (4 marks)
What strategies did you use in finding your answer. Student must show strategy and explain how it was used.(2 marks)
Added comments on voicethread or added detail to explanations (3 marks)

Total Math Work (54 marks) 33

Formatting (21 Marks) 19

Proper title (2 Marks)
Proper labels (3 marks)
Only one post and no drafts left in dashboard (2 marks)
Questions are in the proper order (4 Marks)
Post looks pleasing (10 Marks)

Pictures are lined up, text is left justified etc

The post looks professional and not piecemeal.

Completing Self Evaluation and leaving a comment (10 Marks) 10
Completing 2 Peer Evaluations Leaving comments on the
Growing Post and Voicethreads (20 marks) 20
10 marks per student

Total Marks for Growing Post ( 105 Marks) 82

Growing Post Completed on time 0 mark deduction
Completed 1 day late 10 mark deduction
Completed 2 Days Late 15 Mark Deduction
Completed more than 2 days late 20 Mark Deduction