Standard(s):
[MA2019] (4) 16 : 16. Apply and extend previous understandings of multiplication to multiply a whole number times a fraction.
a. Model and explain how a non-unit fraction can be represented by a whole number times the unit fraction.
Example: 9/8=9 x 1/8
b. Extend previous understanding of multiplication to multiply a whole number times any fraction less than one.
Example: 4 x 2/3= 4 x 2/3= 8/3
c. Solve word problems involving multiplying a whole number times a fraction using visual fraction models and equations to represent the problem.
Examples: 3 x 1/2, 6 x 1/8
[MA2019] (5) 12 : 12. Apply and extend previous understandings of multiplication to find the product of a fraction times a whole number or a fraction times a fraction.
a. Use a visual fraction model (area model, set model, or linear model) to show (a/b) x q and create a story context for this equation to interpret the product as a parts of a partition of q into b equal parts.
b. Use a visual fraction model (area model, set model, or linear model) to show (a/b) x (c/d) and create a story context for this equation to interpret the product.
c. Multiply fractional side lengths to find areas of rectangles, and represent fraction products as rectangular areas.
d. Find the area of a rectangle with fractional side lengths by tiling it with unit squares of the appropriate unit fraction side lengths to show that the area is the same as would be found by multiplying the side lengths.