Learn on PengiEureka Math, Grade 5Chapter 19: Line Plots of Fraction Measurements

Lesson 1: Measure and compare pencil lengths to the nearest 1/2, 1/4, and 1/8 of an inch, and analyze the data through line plots.

In this Grade 5 Eureka Math lesson from Chapter 19, students practice measuring lengths to the nearest 1/2, 1/4, and 1/8 of an inch using a ruler, then organize and display their measurements on line plots. Students also work with comparing fractions, decomposing fractions, and identifying equivalent fractions as foundational skills for interpreting fractional data. The lesson builds students' ability to read and analyze line plots that display fractional measurements on a number line.

Section 1

Comparing and Finding Equivalent Fractions

Property

To create an equivalent fraction, multiply the numerator and the denominator by the same non-zero number. This process is used to find a common denominator, which allows for the comparison of fractions.

ab=a×nb×n\frac{a}{b} = \frac{a \times n}{b \times n}

Examples

Section 2

Measuring Length to the Nearest 1/2, 1/4, or 1/8 Inch

Property

To measure an object's length to the nearest fractional unit (e.g., 12\frac{1}{2}, 14\frac{1}{4}, or 18\frac{1}{8} inch), align one end of the object with the zero mark on a ruler.
Identify the mark on the ruler that is closest to the other end of the object.
The measurement is the whole number of inches plus the fractional part indicated by that mark.

Examples

Lesson overview

Expand to review the lesson summary and core properties.

Expand

Section 1

Comparing and Finding Equivalent Fractions

Property

To create an equivalent fraction, multiply the numerator and the denominator by the same non-zero number. This process is used to find a common denominator, which allows for the comparison of fractions.

ab=a×nb×n\frac{a}{b} = \frac{a \times n}{b \times n}

Examples

Section 2

Measuring Length to the Nearest 1/2, 1/4, or 1/8 Inch

Property

To measure an object's length to the nearest fractional unit (e.g., 12\frac{1}{2}, 14\frac{1}{4}, or 18\frac{1}{8} inch), align one end of the object with the zero mark on a ruler.
Identify the mark on the ruler that is closest to the other end of the object.
The measurement is the whole number of inches plus the fractional part indicated by that mark.

Examples