Fifth Grade - MATH
5: Math
Unit 1: Place Value
Lesson 9
Roman Numerals
Students perform fraction operations in Basic Skills Review #3 problem 9, where they combine amounts given as 8 ounces, 16 ounces, 1/2 cup, 1/4 cup, 1/2 cup, and 1/4 cup (and convert ounces to cups) to find a total of 5 1/4 cups. The review and answer key show students converting between ounces and cups (4 ounces = 1/2 cup, 8 ounces = 1 cup) and adding fractional cups to find a total volume.
Unit 3: Measurement
Lesson 5
Working With Line Plots
The lesson explicitly teaches how to create line plots with fractional units: students list data from least to greatest, draw a horizontal number line, add hash marks for quarter amounts, and place Xs for each data point (the quarter-hour sleep example). The Skills section names the target: "Make a line plot to display a data set of measurements in fractions of a unit (1/2, 1/4, 1/8)." The lesson also includes a video titled "Line Plot Word Problems With Fractions" and additional online practice that is described as showing fractional parts.
Lesson 6
Unit Test
Students draw and interpret line plots with fractional and mixed-number measurements in the 'Insect Lengths' and 'Guitar Practice Time' activities (marks at 1/4, 1/2, 3/4, 1, 1 1/4, etc.). Students create a line plot from given mixed-number data for Peter's guitar practice and answer questions about counts above/below one hour and the difference between least and greatest times. Students add and subtract fractional measurements when answering questions about insect lengths (e.g., computing combined lengths and differences such as 3 3/4 cm − 1 1/4 cm = 2 1/2 cm).
Unit 6: Geometry
Lesson 3
Graphing Review
Students read and answer questions from a line plot titled "Inches Grown This Year" whose x-axis includes fractional measurements (1, 1 1/2, 2, 2 1/2, 3, 3 1/2, 4, 4 1/2, 5). Activity 2 asks students to collect data and create either a bar graph or a line plot, and the instructions note that line plots work well for numerical data. The student tasks include interpreting frequencies at fractional measurement points and posing their own questions based on the plotted data.
Unit 8: Volume
Lesson 1
Perimeter and Area Review
Students work with fractional measurements when calculating perimeter and area (for example, Problem 1 uses dimensions 3 1/3 ft and 2 1/2 ft, and the sandbox problem uses 4 1/2 yards). The answer key shows students performing fraction operations to find area (e.g., 9/4 × 10/3 = 7 1/2 sq ft) and multiplying mixed numbers and fractions for area and perimeter calculations. Multiple tasks require converting units and using fractions in computations (e.g., converting 1 foot to 12 inches and working with mixed-number multiplication).
Unit 9: Skills Review
Lesson 4
Geometry
Students are asked to organize swimmer height data into a line plot, label the axis, and place X marks to represent each swimmer's height. The Parent Plan explicitly lists the skill to "Make a line plot to display a data set of measurements in fractions of a unit (1/2, 1/4, 1/8)". The corn growth activity has measurements given in fractional feet (1/2, 2 1/2, etc.) and asks students to compute growth between weeks (answer shows 1 1/2 feet), demonstrating operations with fractions on graphed data.
