A fraction is a part of a whole amount'

1

• A fraction is a part of a whole amount.
• If an amount is divided into equal parts, or fair
  shares, we can understand and name the fractions.
• Fractions can help us solve many real-world
  situations.

Gr3-U9-L1
2

• There are three questions we need to answer to
  understand what any fraction really means.
• The first question is, What is the whole and how
  big is it?
• The second question is, Into how many equal
  parts has the whole been divided.
• The third question is, How many of the equal
  parts are we using?

Gr3-U9-L2
3

• You get halves of anything when you divide it
  into 2 equal parts.
• You can divide on object or area in half. For
  example, you can cut a candy bar in half or break
  a popsicle in half.
• Halves are not always the same shape or in one
  piece, but they are the same size.

Gr3-U9-L3
4

• You can divide a set of things in half if there
  is an even number of things in the set. For
  example, you can divide a dozen eggs in half or
  divide 20 pennies into 2 stacks of 10 pennies
  each.
• You can divide any length in half. For example,
  you can measure ½ inch or ½ meter.

Gr3-U9-L3
5

• You can divide any regular measuring container in
  half. For example, you can measure ½ cup or ½
  gallon of milk.

Gr3-U9-L3
6

• You get thirds of anything when you divide it
  into 3 equal parts.
• You get fourths of anything when you divide it
  into 4 equal parts.
• If you know the size of a fraction of an amount,
  you can find the whole amount.

Gr3-U9-L4
7

• The denominator, which is found on the bottom of
  the fraction or on the right side of the fraction
  bar, answers the question, Into how many equal
  parts has the whole been divided?
• The numerator, which is found on the top of the
  fraction or on the left side of the fraction bar,
  answers the question, How many of the equal
  parts are we using?

Gr3-U9-L5
8

• Equivalent fractions describe the same portion of
  a whole divided in different ways. In other
  words, different fractions that name the same
  portion of a whole are equivalent fractions. For
  example, a half of a piece of paper can be
  represented as ½, ²/3, ³/6, 4/8, or 5/10 of the
  piece of paper, and so on.

Gr3-U9-L6
9

• Most coins are fractions of a dollar. For
  example, a quarter 1/4 dollar, because 4
  quarters 1.
• Many coins are equivalent to sets of other coins.
  For example, 1 quarter 5 nickels.

Gr3-U9-L7
10

• We compare fractions to find out if one fraction
  is equal or equivalent to, greater than, or less
  than another fraction.
• To compare fractions, we need to answer the 3
  fraction questions to discover the size of the
  wholes, the number of equal parts in each whole,
  and the number of parts of each whole we are
  comparing.

Gr3-U9-L8
11

• The more equal pieces into which you cut a whole
  - in other words, the larger the denominator -
  the smaller each piece is. For example, 1/2 of a
  9-inch pizza is larger than 1/4 of a 9-inch pizza
  because when you cut 4 equal pieces, each piece
  is smaller than when you cut 2 equal pieces.

Gr3-U9-L8
12

• We can estimate that fractions are close to 1/2
  by seeing if their denominators are about twice
  as much as their numerators. For example, in
  7/12 the 12 is almost twice as much as the 7, so
  7/12 of a pie is about 1/2 of a pie.

Gr3-U9-L9
13

• If a fraction is a very small part of the whole,
  the fraction is close to 0. For example, 1/8 is
  a very small part of 8/8, so 1/8 of a pie is
  almost no pie at all.

Gr3-U9-L9
14

• Adding fractions is just like adding anything
  else. If you add apples, you get applies, and if
  you add fourths, you get fourths. For example, 2
  apples 1 apple 3 apples, and 2 fourths 1
  fourth 3 fourths.

Gr3-U9-L10
15

• Adding fractions is just like adding anything
  else. For example, 2 apples 1 apple 3
  apples, and 2 fourths 1 fourth 3 fourths.
• Like fractions are fractions with the same
  denominator.

Gr3-U9-L11
16

• To add like fractions, we add the numerators and
  put the sum over the denominator. The
  denominator doesnt change because the size of
  each piece doesnt change we just have more
  pieces. For example, 1/6 of a fraction bar 3/6
  of a fraction bar 4/6 of a fraction bar. We
  still have sixths there are just more of them.

Gr3-U9-L11
17

• Subtracting fractions is just like subtracting
  anything else. If you subtract gerbils, you get
  gerbils, and if you subtract fourths, you get
  fourths. For example, 3 gerbils minus 1 gerbil
  equals 2 gerbils, and 3 fourths minus 1 fourth
  equals 2 fourths.

Gr3-U9-L12
18

• Subtracting fractions is just like subtracting
  anything else. If you subtract gerbils, you get
  gerbils, and if you subtract fourths, you get
  fourths. For example, 3 gerbils minus 1 gerbil
  2 gerbils, and 3 fourths minus 1 fourth 2
  fourths.

Gr3-U9-L13
19

• To subtract like fractions, we subtract the
  numerators and put the difference over the
  denominator. The denominator doesnt change,
  because the size of each piece doesnt change we
  just have fewer pieces left. For example, 5/6 of
  a fraction bar - 4/6 of a fraction bar 1/6 of a
  fraction bar. We still have sixths there are
  just fewer of them left.

Gr3-U9-L13