Transcript Document

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Fun x Thinking = Fabulous
*3 sets of 4 coins.
How many coins in all?
*3 rows of 8 stamps.
How many stamps?
*3 bags of 12 oranges.
How many oranges?
*5 classes of 25 students.
How many students?
*
*3 sets of 4 coins.
*
How many coins in all?
3 rows of 8 stamps
*
*To find the total of these
objects we multiplied the
number of objects on the side
by the number of objects on the
top.
*In other words, we multiplied
the rows by the columns.
*
3 x 4 = 12
and
3 x 8 = 24
*Take a piece of plain paper.
*Fold it into thirds.
*
*Take a piece of plain paper.
*Fold it into thirds.
*Shade in 2 of those
third pieces.
*
*Take a piece of plain paper.
*Fold it into thirds.
*Shade in 2 of those
third pieces.
*
*Now turn your paper sideways.
*
*Now turn your paper sideways.
*Fold it into thirds on
this side.
*
*Now turn your paper sideways.
*Shade one third
of this side.
*If we were to write
a fraction for the
region shaded with both
colors, what denominator would you choose?
What would be your numerator?
*Now turn your paper sideways.
*Why did our
denominator change
from 3 to 9?
*Why was it
important for us to
turn the paper when we folded it a second
time?
*When we are multiplying fractions, we are
looking for a fraction of a fraction or a
fraction of a piece out of a whole.
*2/3 is part of the whole rectangle.
*When we say
1/3 of 2/3, we are
finding the value of
a 1/3 piece of that
2/3 part.
*
*Open your math journal to page 269.
*Complete page 269 with a partner that
does not sit at your table.
*When you both are finished, show your
work to a teacher.
*
*How would you multiply a fraction by a
whole number?
¾ of 6
*Each of the wholes must be divided into
fourths.
¾ of 6
*You only want 3 of the 4 pieces in each
whole.
¾ of 6
*Reassemble the pieces to find out how
many wholes and pieces are left.
¾ of 6
=4 ½
*If we use computation to find the
solution we need to rewrite 6 in
fractional form.
¾*6
¾ * 6/1
*6/1 is an improper fraction.
When it is
simplified 6/1 = 6. Because it is
equivalent in value, you can use 6/1 to
multiply.
¾ of 6 = ¾ * 6/1
3 * 6
4
1
Cross simplify the numbers.
¾ of 6 =
3 * 6
4
1
We need to multiply the denominator by
4 because we cut the whole into 4
pieces.
¾ of 6 =
3 * 6
4
1
We need to multiply the numerator by 3
because we need 3 pieces from each
whole.
¾ of 6 = ¾ * 6/1
2=÷2
3 * 6
4
1
÷2 =
3
We can cross simplify the numbers
because both numbers are divisible by 2.
¾ of 6 = ¾ * 6/1
3 * 3 = 9
2
2
1
Cross simplify the numbers.
¾ of 6 = ¾ * 6/1
Simplify the answer.
9=
2
41/2
*You will complete Math Journal 2 page
274 with a partner.
*When you are both finished, show your
work to a teacher.
*