6.4 Introduction to representations of multiplying and dividing fractions - PowerPoint PPT Presentation

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6.4 Introduction to representations of multiplying and dividing fractions

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Title: 6.4 Introduction to representations of multiplying and dividing fractions


1
6.4Introduction to representations of
multiplying and dividing fractions
  • .

2
IntroductionBoxes can be split into all kinds of
sections. Can you tell what fraction is shaded
in each box?
3
To multiply, put together like this!Vertical is
first, Horizontal is last!Order does not matter
with multiplication, but it sure does with
division! So we are going to always do it like
this.
2/3 x 1/2
Tada! The product is 2/6 or 1/3! The
denominator is all the sections and the
numerator is the overlap!
Now Watch!
4
Try these!¼ x 3/5
5
Do you think you can?5/6 x 1/4
6
Try another?5/8 x 7/12
7
Try another?1/4 x 1/2
8
Now for DIVISION!
9
When using division models, order matters. The
first bar is the dividend and the second bar is
the divisor. This means how many will fit
into
 
 
 
 
 
 
10
Now its time to set up our notebook and practice!
6.4 The student will demonstrate multiple
representations of multiplication and division of
fractions
11
  • 6.4 Directions Multiplication
  • First fraction square is vertical. Overlap the
    second fraction square horizontally.
  • Multiplication-
  • count all the sections once squares are
    overlapped. This is the denominator.
  • Count the sections where the colors or patterns
    combine. This is the numerator.
  • Example- ½ x ¼
  • 1 section overlaps
  • 8 sections total
  • Product is 1/8

Vocabulary 6.4 addition The act or
process of combining numerical values, so as to
find their sum sum An amount obtained as a result
of adding numbers EX 224 4 is the
sum subtraction The arithmetic operation of
finding the difference between two quantities or
numbers difference An amount obtained as a result
of subtracting numbers EX 5-32 2 is the
difference reciprocal Any two numbers whose
product is 1. Example ½ and 2 are reciprocals
because ½ X 2 1product An amount obtained as a
result of multiplying numbers division The
operation of determining how many times one
quantity is contained in another the inverse of
multiplication. quotient An amount obtained as a
result of dividing numbers EX-12 2 6 six
is the quotient numerator The expression written
above the line in a fraction EX- ½ One is
the numerator denominator The expression written
below the line in a fraction that indicates the
number of parts into which one whole is divided.
EX- ½ 2 is the denominator improper
fraction A fraction in which the numerator is
larger than or equal to the denominator. The
value of an improper fraction is greater than or
equal to one. EX- 14/5 mixed number A numerical
value that combines a whole number and a fraction
EX- 2 ¾ simplest form A fraction is in simplest
form when the greatest common factor of the
numerator and denominator is 1. simplify To
reduce the numerator and the denominator in a
fraction to the smallest form possible. To divide
the numerator and denominator by the GCF is
simplifying a fraction. LCD The least common
multiple of the denominators of two or more
fractions. Example 6 is the least common
denominator of 2/3 and 1/6. estimate To make an
approximate or rough calculation, often based on
rounding
12
 
Practice Multiplication Draw a box. When
you shade use stripes. Split vertically into
3 sections. Shade 1 section. Split horizontally
into 2 sections. Shade one. This is 1/3 x
½ 1/6 Practice Division----------------------
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___ ___     ___ x ___ ___
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