MA19.3.13
Demonstrate that a unit fraction represents one part of an area model or length model of a whole that has been equally partitioned; explain that a numerator greater than one indicates the number of unit pieces represented by the fraction.
Demonstrate that a unit fraction represents one part of an area model or length model of a whole that has been equally partitioned; explain that a numerator greater than one indicates the number of unit pieces represented by the fraction.
Unpacked Content
UP:MA19.3.13
Vocabulary
- Unit fraction
- Area model
- Interval
- Length (Linear) model
- Partition
- Numerator
- Denominator
- Part
- Point
- Whole
Knowledge
Students know:
- Fractional parts of a whole must be of equal size but not necessarily equal shape.
- Denominators represent the number of equal size parts that make a whole.
- The more equal pieces in the whole, the smaller the size of the pieces.
- The numerator represents the number of equal pieces in the whole that are being counted or considered.
Skills
Students are able to:
- Use an area model and length model to show a unit fraction as one part of an equally partitioned whole.
- Explain that given a fraction with a numerator greater than one, the numerator indicates the number of unit fraction pieces represented by the fraction.
Example: 3/4 is the same as 3 units of 1/4 size, or three 1/4 pieces, 3 copies of 1/4, or 3 iterations of 1/4. - Identify and describe the fractional name given a visual fraction model.
- Identify and demonstrate fractional parts of a whole that are the same size but not the same shape using concrete materials.
Understanding
Students understand that:
- Given the same size whole, the larger the denominator, indicating the number of equal parts in the whole, the smaller the size of the pieces because there are more pieces in the whole.
- Fractions are numbers that represent a quantity less than, equal to, or greater than 1.
- Fractions represent equal partitions of a whole.
