MA19.5.12
Apply and extend previous understandings of multiplication to find the product of a fraction times a whole number or a fraction times a fraction.
Apply and extend previous understandings of multiplication to find the product of a fraction times a whole number or a fraction times a fraction.
UP:MA19.5.12
Vocabulary
- Fraction
- Fraction model
- Whole number
- Area
- Area model
- Linear model
- Set model
- Tiling
- Unit squares
- Equation
Knowledge
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.
Skills
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.
Understanding
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.
