Primary Standards:
MAFS.5.MD.2.2: Make a line plot to display a data set of measurement fractions of a unit (1/2, 1/4, 1/8). Use operations on fractions for this grade to solve problems involving information presented in line plots.For example, give different measurements of liquid in identical beakers, find the amount of liquid each beaker would contain if the total amount in all the beakers were distributed evenly.
Connecting Standards:
MAFS.5.NF.1.2: Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers. For example, recognize an incorrect result 2/5 + 1/2 = 3/7, by observing that 3/7 < 1/2.
MAFS.5.NF.2.6: Solve real world problems involving multiplication of fractions and mixed numbers, e.g., by using visual fraction models or equations to represent the problem.
MAFS.5.NF.2.7: Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions.
Content Knowledge:
In 4th grade, students made and interpreted line plots that displayed length measurement data in fractional units of , , or . In this Unit, students continue their work with line plots and solve more complex problems.
In addition to creating line plots to show a set of data, students use the data on the line plot to solve problems. In 4th grade they applied their understanding of fractions and their ability to add and subtract fractions (with same denominators) to solve problems. In 5th grade, they solve multistep problems using all operations (sometimes involving fractions with unlike denominators.) When line plots contain data in fractional units, the context is perfect for measurement problems. The measurement problems may contain data about length, mass, and volume.
GCG 1 – Learning Goal: As a mathematician, I will be able to create and interpret line plots with measurements in fractions of a unit
- Step 1: Generate measurement data to the nearest whole, 1/2, 1/4, and unit (relate to fractions on a number line)
- Step 2: Create a line plot to display a data set of measurements to 1/8 units
- Step 3: Read and interpret fractional data from line plots to 1/8 units
GCG 2 – Learning Goal: As a mathematician, I will be able to solve multi-step problems using data from line plots
