NY Next Generation Math NY-4.MD.2.b

Math4th GradeUse the four operations to solve word problems involving distances, intervals of time, liquid volumes, masses of objects, and money.

The Standard

Represent measurement quantities using diagrams that feature a measurement scale, such as number lines.

New York State Next Generation Mathematics Learning Standards

Teacher's field guide

What Students Need to Do: Students represent measurement quantities on diagrams with a scale, including number lines. They use labeled intervals to show relationships, operations, and unknown measurements.
What Mastery Looks Like: A student draws a number line in quarter-liter intervals to represent 1 3/4 liters plus 3/4 liter. The student lands at 2 1/2 liters and connects the jumps to an equation.
Common Misconceptions: Students may use unequal intervals, omit scale labels, or count tick marks instead of spaces. They may draw jumps that do not match the quantities or operation in the problem.
How to Assess It: Ask students to draw a quarter-liter number line for 1 1/2 liters plus 3/4 liter, solve the problem, and label every jump.

Lesson moves

Build a taped number line with equal measurement intervals, then walk and label the quantities from a word problem.
Ask students how a diagram's scale determines the meaning of one space between tick marks.
Play scale-diagram repair by correcting uneven intervals, missing units, and operation jumps that land incorrectly.
Represent distances, elapsed amounts, or liquid volumes on labeled scales for a class planning problem.

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