Wednesday, 12 February 2014

Justify and Explain your thinking???? What the Heck!!!!

How can I justify an answer?

Give convincing reasons for a prediction, an estimate, or a solution: tell why you think your answer is correct.

I have a triangular prism has a length of 10 cm, a width of 2 cm and a height of 12 cm.
The volume of the triangular prism is base x h
Justify my answer:

Base of triangular prism

10 x 2  
    2
20/2 = 10
10 x 12
120 cm3

I know my answer is correct because I first found the area of the base which is the shape of a triangle by using the formula b x h / 2. Then I multiply the base by the height of the triangular prism which is 12 cm so the volume is 120 cm3.



How can I explain my thinking?

Tell what you did; show your mathematical thinking at every stage; show how you know.

Explain how knowing 1000 + 2000 = 3000 can help you solve this problem.

a) A plane flew 999 km to one city and 2001 km to another city. What is he total distance the plane flew

Answer: I know that the answer is 3000 because

1000 - 1 = 999 and

2000 + 1 = 2001

Therefore that means that the one less has been taken from the 999 and has been given to the 2001, so it has the same value as 1000 + 2000 = 3000

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