MA19.4.16
Apply and extend previous understandings of multiplication to multiply a whole number times a fraction.
Apply and extend previous understandings of multiplication to multiply a whole number times a fraction.
UP:MA19.4.16
Vocabulary
- Whole number
- Fraction
- Non-unit fraction
- Unit fraction
- Fraction less than one
- Fraction greater than one
- Visual fraction model
- Equation
- Decompose
- Recompose
- Compose
Knowledge
Students know:
- Models or equations to represent multiplication situations.
- The fraction a/b is equivalent to the unit fraction 1/b being iterated or "copied" the number of times indicated by the numerator, a.
Skills
Students are able to:
- Model and explain how a non-unit fraction can be expressed as multiplication.
- Multiply a whole number times any fraction less than one.
- Solve word problems involving a whole number times a fraction using a visual fraction model and equation to represent the problem.
Understanding
Students understand that:
- Previous work involving multiplication with whole numbers can be extended to fractions in showing multiplication as putting together equal-sized fractional groups.
- Problem solving situations involving multiplication of a whole number times a fraction can be solved using a variety of strategies, models, and representations.
