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# unit 3 math prezi

mathematican prezi
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## Cole Vankka

on 25 January 2013

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#### Transcript of unit 3 math prezi

Albert Einstein Mr. Einstein teaches how to multiply fractions with models. Math Unit 3 Project
By: Spencer and Cole 8-2 3.1 Albert Einstein developed the practice of imaging
physical event and he developed expressing those ideas using calculus. He discovered the wonders of light, gravity, time, and the universe using his new discovered mathematical terms. Using Models to multiply fractions Whole Numbers Albert wants to multiply 4 x 3
5 Think of it as 4x3= 3+3+3+3
5 5 5 5 5 Now put all of the fifths together. Which will make 2 2/5. So 4 x 3/5= 2 2/5. Question 1 What would the multiplication
statement be for the fraction
model out of 12
squares Make sure that it is 4 horizontally and 3 vertically Now take the 3 from the 3/4 and put it on vertically on the diagram by putting it on the first vertical line. Than putting the 2 from 2/3 and put it on the first two squares of the horizontal line. Now since you cover two of the first horizontal line make sure you cover another squares in the second vertical line. Now that you are done you will have your answer. 6/12 is your
finale answer. 6/12 can
also be
known as
1/2! Question 1 One evening Albert went to go make a math book Albert only finished a couple pages, he had time to color 4/5 of the pages and he still has 2/3 of the book left to do. How many pages are colored in total? Answer 1 4/5 x 2/3 5 x 3= 15 4 vertically x 2 7/12 of the pages are colored. Question 2 Multiply! 2/4 x 5/7! Answer 2 2/4 x 5/7 4 x 7= 28 2 vertical x 5 10/28 Question 3 Albert took of his savings to a book store to shop, he spent 4/5 of 3/4 on math books. How much money did Albert have left? Math Answer 3 4/5 x 3/4 5 x 4= 20 4 vertically x 3 Albert had
12/20 dollars
left. 3.4 Multiplying Mixed Numbers 3.4 Multiplying Mixed Numbers 2 1/2 x 1 1/3
Write each mixed number as an improper fraction.

2 1/2= 2 + 1/2= 4/2 +1/2= 5/2
1 1/3= 1 + 1/3= 3/3 + 1/3= 4/3

5x4
------
2x3 = 20/6
20/6 / 2 = 10/3
10/3 = 3 1/3 2 1/2 1 1/3 2 x 1= 2 2 x 1/3= 2/3 1/3 x 1/2= 1/6 1/6 1/2 x 1= 1/2 1/2 Add all answers up with a common denominator.
2 + 3/6 + 4/6 + 1/6
2 + 8/6 8/6= 1 2/6 = 1 1/3
2 + 1 1/3= 3 1/3
3 1/3 Question 1 Write the mixed number and improper fraction represented by each picture. Answer 1 = = = 3 1/2 7/2 2 1/5 11/15 1 6/7 13/14 Question 2 Multiply using area models. 3 2/3 X 2 1/5 Answer 2 3 2/3x2 1/5= (3x2)+(2/3x2)+(3x1/5)+(2/3x1/5) = 6+4/3+3/5+1/2 = 6+40/30+18/30+15/30 = 6+73/30 = 6+30/30+30/30+3/30 = 6+2+1/10 = 8 1/10 2x3=6 3 2 1/5 2/3 1/5x3=3/5 2/3x1/5=2/10 2x2/3=4/3 Question 3 Multiply using area models. 4 3/8 x 1 1/4 Answer 3 4 3/8x1 1/4= (4x1)+(4x1/4)+(1x3/8)+(3/8x1/4) = 5+4/4+3/8+1/8 = 5+8/8+3/8+1/8 = 5+12/8 =5+8/8+4/8 = 5+1+4/8 =6 4/8 4x1=5 4 3/8 1 1/4 4x1/4=4/4 1x3/8 3/8x1/4=4/32 3.5 Dividing Whole Numbers
and fractions 3.5 Use a model to divide. 5 3/5 Think, how many 3/5 are in 5 holes. Use fraction circles in fifths to model 5. 1 1 1 2 2 2 3 3 3 4 4 4 5 5 5 6 6 6 7 7 7 8 8 8 Count the groups of 3/5
There are 8 groups of 3/5
and there is 1/5 left over.
The diagram shows that
1/5 is 1/3 of 3/5
So 5 3/5= 8 1/3. Question 1 Find the answer! 4 3/4 Answer 1 1 1 1 2 2 2 3 3 3 4 4 4 5 5 5 4 3/4= 5 1/4 Question 2 3 4/6 Answer 2 1 1 1 1 2 2 2 2 3 3 3 3 4 4 4 4 3 4/6= 4 2/4 Question 3 3 5/8 Answer 3 1 1 1 1 1 2 2 2 2 2 3 3 3 3 3 4 4 4 4 4 3 5/8= 4 4/5 3.6 Dividing Fractions 3.6 Dividing Fractions There are two ways to divide fractions,
common denominator and a number line. Common Denominator 4/5 1/10 A common denominator for this
problem would be 10. 4/5=8/10 So, 4/5 1/10= 8/10 1/10 Number Line This means that how man 1/10
are in 8/10. 0 1 1/10 2/10 3/10 4/10 5/10 6/10 7/10 8/10 9/10 1/10 x 8 This is the same as 8 1= 8
So, 4/5 1/10=8 Question 1 3/4 4/8 Answer 1 Common Denominator 3/4 and 4/8 would have a common denominator of 8. So it takes 2 4's to get 8.
You would also have to
times the 3 by 2. So that would be
6/8 4/8=1.5 3/4 4/8=1.5 Question 2 1/2 1/8 Answer 2 1 0 1/8 2/8 3/8 4/8 1/2 5/8 6/8 7/8 8/8 1/8 1/8 1/8 1/8 1/2 1/8= 4 Question 3 7/12 1/4 Answer 3 Number Line Common Denominator 7/12 and 1/4 would have a common denominator of 12 It takes 3 4's to get 12.
and you would also
have to times the 1 by
3. So that would be
7/12 1/4= 2 1/3 7/12 1/4= 2 1/3 3.7 Dividing Mixed Numbers 3.7 Divide 1 7/8 ÷ 1 1/4 Change the mixed numbers to improper fractions 1 7/8=15/8 and 1 1/4=5/4 So, 1 7/8 ÷ 1 1/4 = 15/8÷5/4 = 15/8x4/5 =3/2x1/1 3x1 = 2x1 =3/2, or 1 1/2 Estimate to check. 1 7/8 is close to 2. 1 1/4 is close to 1. Since 1 7/8 is less than 2 and 1 1/4 is greater than 1,