MA19.5.12

Mathematics (2019) Grade(s): 5

Students know:

How to write an equation involving repeated addition with fractions as a multiplication equation of a whole number times the fraction.
Example: 2/9 + 2/9 + 2/9 + 2/9 = 4 x 2/9 = 8/9.
The relationship of partial products to an area model when multiplying by two whole numbers.
Area of a rectangle is determined by multiplying side lengths and is found in square units.

Students are able to:

Use previous understandings of multiplication to
Find products of a fraction times a whole number and products of a fraction times a fraction.
Use area models, linear models or set models to represent products.
Create a story context to represent equations (a/b) × q and (a/b) × (c/d) to interpret products.
Find area of rectangles with fractional side lengths and represent products as rectangular areas.
Find the area of a rectangle by tiling the area of a rectangle with unit squares.

Students understand that:

Any whole number can be written as a fraction.
The general rule for multiplication involving fractions can be justified through visual models.
A variety of contextual situations can be represented by multiplication involving fractions.
Tiling with unit squares can be used to find the area of a rectangle with fractional side lengths.