During Unit 6, your children will apply their understanding of measurement conversions and multiplicative comparison to solve multiplication and division situation problems. Multiplicative comparison problems involve a comparison of two quantities in which one is described as a multiple of the other. The relationship between the amounts is described in terms of how many times larger one is than the other. “Larger” can also be interpreted as “longer,” “wider,” or “heavier” with problems involving measurement. In 4th grade, whole number values are utilized in multiplicative comparison problems. This will provide a foundation for fraction problems in 5th grade when students use language such as “one fourth as much.”
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Students need to:
- Interpret a multiplication equation as a comparison, e.g. interpret 35 = 5 x 7 as a statement that 35 is 5 times as many as 7 and 7 times as many as 5. Represent verbal statements of multiplicative comparisons as multiplication equations
- Multiply or divide to solve word problems involving multiplicative comparison, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem, distinguishing multiplicative comparison from additive comparison.
- Solve multistep word problems posed with whole numbers and having whole-number answers using the four operations, including problems in which remainders must be interpreted. Represent these problems using equations with a letter standing for the unknown quantity. Assess the reasonableness of answers using mental computation and estimation strategies including rounding.
- Know relative sizes of measurement units within one system of units including km, m, cm, kg, g, lb., oz., l, mL, hr., min, and sec. Within a single system of measurement, express measurements in a larger unit in terms of a smaller unit. Record measurement equivalents in a two-column table.
- Use the four operations to solve word problems involving distances, intervals of time, liquid volumes, masses of objects, and money, including problems involving simple fractions or decimals, and problems that require expressing measurements given in a larger unit in terms of a smaller unit. Represent measurement quantities using diagrams such as number line diagrams that feature a measurement scale.