"Sprint" (2 min; introduced in Lesson 10) provided strategic, speeded practice on four measurement interpretation topics: identifying whether fractions are equivalent to 1/2; comparing the value of proper fractions; comparing the value of a proper and an

improper fraction; and identifying whether numbers are proper fractions,

improper fractions, or mixed numbers.

For example, an environment for solving linear equations can accept both decimal and common fractions or mixed numbers and

improper fractions as answers.

After the conceptual lesson, Rachel was again interviewed, and when asked to convert a mixed number to an

improper fraction, she incorrectly applied a procedure before she corrected herself by drawing a picture.

A mixed number is usually expressed as an

improper fraction when it is to be multiplied by another mixed number, a whole number, or a fraction.

The other 125 students applied the shortcut algorithm for renaming a mixed number as an

improper fraction.

These operations suggest that Joe was developing a scheme for generating

improper fractions.

Traditional instruction for such a problem would involve finding a common denominator, adding to create an

improper fraction, then dividing to find wholes, as shown in figure 1.

As part of ACMNA078, students should become competent in "converting mixed numbers to

improper fractions and vice versa" (ACARA, 2013, p.

Several ways to customize the program are offered, as well as a simple option to change the target fractions to

improper fractions. Also, teachers can edit a class list, which establishes a journal for each student and allows the teacher to review journal entries for the entire class.

She then counted the number of half units and labelled the tick marks using

improper fractions on the number line.

We discussed the fractional part of the whole vote that each flag received, for example, 15/60; then reviewed proper and

improper fractions, reducing to lowest terms, equivalence, and comparing fractions.

This is a useful addition to the simplistic 'out of' feature since it helps us make sense of

improper fractions like thirteen-tenths.