4.3 Extending Operations to Fractions
Unit Goals
- Students learn that a fraction \frac{a}{b} is a product of a whole number a and a unit fraction \frac{1}{b}, or \frac{a}{b} = a \times \frac{1}{b}, and that n \times \frac{a}{b} = \frac{(n \space \times \space a)}{b}. Students learn to add and subtract fractions with like denominators, and to add and subtract tenths and hundredths.
Section A Goals
- Recognize that n \times \frac{a}{b} = \frac{(n \space \times \space a)}{b}.
- Represent and explain that a fraction \frac{a}{b} is a multiple of \frac{1}{b}, namely a \times \frac{1}{b}.
- Represent and solve problems involving multiplication of a fraction by a whole number.
Section B Goals
- Create and analyze line plots that display measurement data in fractions of a unit (\frac18, \frac14, \frac12).
- Represent and solve problems that involve the addition and subtraction of fractions and mixed numbers, including measurements presented in line plots.
- Use various strategies to add and subtract fractions and mixed numbers with like denominators.
Section C Goals
- Reason about equivalence to add tenths and hundredths.
- Reason about equivalence to solve problems involving addition and subtraction of fractions and mixed numbers.