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.)

This is a pythagorean triple. It uses perfect square numbers to satisfy a2 + b2 = c.

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=?)

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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

Lefrog stands 1.5 metres from a wall where a fly is 2 metres 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 ?

We needed to find what c was so we first change 700 cm into 0.7m by dividing 100 into 700. We then needed to subtract 0.7 from 2m to get 1.3. With a formula a2 + b2 = c2 we plugged in the numbers so now it was 1.3 2 + 1.5 2 = c2. Then got their squared number 1.69 + 2.25 = c2. Then we added them together to get c2 which is 3.94. Since we had to find c not c2 we found the square root of 3.94 which is 1.98.

Part 4

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

A man named Johny went to buy groceries from Wal-mart which was 9 miles north from his house and after he was done he went home. Later Johny had enough money to buy a new laptop so he drove to Best Buy to buy one which was 16 miles east from his house. If Johny drove straight to Best Buy after he shopped at Wal-mart, how far would he have drove?

Marlon's 2nd Growing post

QUETION 1
1.What strategies were needed?
The strategies that were needed was money/clocks, multiplication, division, ratio tables and also picture in order to solve this problem.

2.How did you use these strategies?
I used the strategies in order to find out how much ingridients that was needed to make the snack mix and to find the cost.

3.Or How could you of used these strategies.
I could have usewd a ratio table to make it very simple and neat.

4.How would you figure out the price of a 6 cup bag of Betty's Snack mix? Use a ratio table.
In order to find out the price of a 6 cup bag is to x 2/5 by 5 so you could get 12 and you do the same thing to the price (3.60 x 5= 18.00) because what you do to one side you have to do to the other side. Then you divide 12 by 2 to get 6 and the price divide by two to get 9.00.

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.

QUESTION2

You are going to create a voicethread explaining the strategies you used on your test. You need to choose 4 out of the 6 questions.1. 2/3 + 1/4 + 2/5 =2. 6/5 - 11/10=3. 3/5 + 2/7 =4. 1/6/+1/9 =5. 5/6 - 1/4 =6. 3 3/5 - 1 4/5 =

QUETION 3
Today in class we reviewed the 6 strategies from the RACE Investigation. They were
Equivalence
Fractions show operations
Ratio Tables (Proportional Reasoning)
Measurement
Partial Products or the Distributive Property
The Whole Matters
Friendly Fractions. Create a voicethread or write and use pictures to describe how you would uses those strategies to explain how far the two students would have run if Mark ran 7/8 and Rachel ran 11/12 of the RACE course.

QUESTION 4

4. Your last question deals with pizza. You need to explain which group gets the largest portion of pizza. All student groups get the same sized pizzas. It is up to you to cut them up so that they are shared equally.
Group 1 Sally Bob, Gidget and Biff Share 3 pizzas.
Group 2 Stan, Holly, Barry, Ben and Ichkabibble share 4 pizzas.
Group 3 Eric, Susy,James, Betty, Veronica and Moose share 5 pizzas.
Group 4 Paul, Alex, Chris, Jughead, Archie, Reggie, Mr. Wotherspoon and Midge share 7 pizzas.
-How much pizza does each student get in the different groups?
-Which group gets the largest portion of pizza?
-Show how you found your answer in 2 different ways.
-What strategies did you use in finding your answer.
-Show your answer is 2 different ways. I would recommend that you create a voicethread of your work.

Here I used pictures and multiplication and division. The group that got the largest protion was the group 4.