5.2 Fracciones como cocientes y multiplicación de fracciones

Unit Goals

  • Students develop an understanding of fractions as the division of the numerator by the denominator, that is $a \div b = \frac{a}{b}$, and solve problems that involve the multiplication of a whole number and a fraction, including fractions greater than 1.

Section A Goals

  • Represent and explain the relationship between division and fractions.
  • Solve problems involving division of whole numbers leading to answers that are fractions.

Section B Goals

  • Connect division to multiplication of a whole number by a non-unit fraction.
  • Connect division to multiplication of a whole number by a unit fraction.
  • Explore the relationship between multiplication and division.

Section C Goals

  • Find the area of a rectangle when one side length is a whole number and the other side length is a fraction or mixed number.
  • Represent and solve problems involving the multiplication of a whole number by a fraction or mixed number.
  • Write, interpret, and evaluate numerical expressions that represent multiplication of a whole number by a fraction or mixed number.
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Glossary Entries

  • área
    El número de unidades cuadradas que cubren una figura plana sin dejar espacios ni superponerse.
  • cubo unitario
    Un cubo con lados que tienen 1 unidad de largo. Se usa para medir volumen.
  • prisma rectangular
    Una figura sólida que tiene seis caras y todas son rectángulos.
  • unidad cúbica
    Un cubo unitario con longitudes de lado que son unidades de medida estándar. Se usa para medir volumen.
  • volumen
    El número de cubos unitarios que llenan una figura sólida sin dejar espacios ni superponerse.