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 * 6¾ * 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

3 * 64 1

We can cross simplify the numbers because both numbers are divisible by 2.

÷2 = 3

2=÷2

¾ of 6 = ¾ * 6/1

3 * 3

2 1

Cross simplify the numbers.

= 9 2

¾ of 6 = ¾ * 6/1

Simplify the answer.9 =

41/22

*You will complete Math Journal 2 page 274 with a partner.

*When you are both finished, show your work to a teacher.