Unit 6 Investigations

Unit 6

About the Mathematics in This Unit

Our class is starting a new mathematics unit about fractions called Fair Shares and Fractions on Number Lines. In this unit, students investigate the meaning of fractions and the ways fractions can be represented. They solve sharing problems (How can 2 people share 3 brownies equally?), represent fractions with area models and on number lines, compare fractions, and determine fraction equivalents.  


Throughout the unit, students work toward these goals:

Benchmark/Goal Examples
1. Partition a quantity into equal parts, and name those parts as fractions or mixed numbers. A rectangle divided into 4 equal parts. Each part is labeled “one-fourth.”
2. Represent fractions as numbers on a number line.

Place the following fractions on the number line below: 3434 3 fourths9898 9 eighths.

A number line shows the numbers 0, 1, 2, and 3. Three-fourths and nine-eighths are handwritten on the number line.

3. Compare fractions with the same numerator or same denominator by reasoning about their size.

Which is greater 2323 2 thirdsor 2424 2 fourths?

Two rectangles and handwritten text.
Benchmark/Goal Examples
4. Identify equivalent fractions. A number line shows the numbers 0, 1, and 2.
5. Measure to the nearest fourth inch and represent measurement data to the nearest fourth inch on a line plot. A number line shows the hand spans of a class in inches.