Unpacked Content
Knowledge
Students know:
- The meaning and magnitude of fractions expressed in units of halves, fourths, eighths, thirds, sixths, twelfths, fifths, tenths, and hundredths.
- Strategies to find sums of two or more fractions with like denominators.
- Strategies to find the difference of two fractions with like denominators.
- How to decompose a fraction greater than 1 and express as a mixed number.
Example: 7/3 = 3/3 + 3/3 + 1/3 = 2 1/3.
Skills
Students are able to:
- Solve real-word problems involving addition and subtraction of fractions with unlike denominators.
- Represent problems using fraction models or equations.
- Assess reasonableness of answers using estimation and benchmark fractions.
Understanding
Students understand that:
- solving word problems involving addition and subtraction of fractions with unlike units
- Require strategies to find equivalent fractions in a common unit, and the sum or difference will be expressed in the common unit.
- Can be assessed for reasonableness of answers using estimation strategies.
Vocabulary
- Fraction
- Benchmark fraction
- Denominator
- Fraction model
- Estimate
- Reasonableness
- Equation
- Unlike denominator
- Unlike units
