* 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. *