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.

* 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 * Cross simplify the numbers.

¾ of 6 = 3 * We need to multiply the denominator by 4 because we cut the whole into 4 pieces.

¾ of 6 = 3 * We need to multiply the numerator by 3 because we need 3 pieces from each whole.

¾ of 6 = ¾ * 6/1 3 * We can cross simplify the numbers because both numbers are divisible by 2. ÷2 = 3 2 =÷2

¾ of 6 = ¾ * 6/1 3 * Cross simplify the numbers. = 9 2

¾ of 6 = ¾ * 6/1 Simplify the answer. 9 = 4 1/2 2

* You will complete Math Journal 2 page 274 with a partner. * When you are both finished, show your work to a teacher.