Number and operation sense about fractions involves the ability to compare fractions, building upon the ideas of a

unit fraction (e.

Many girls started with 1/2 as the largest possible

unit fraction, then halved it to get 1/4, then 1/8 arriving at:

Simple

unit fraction equivalents seem to be emphasised, at the expense of fundamental definition ("out of a hundred") and apparently easy percentages such as 30%.

42(c)(1)(B), a low-income building's applicable fraction is the lesser of the project's

unit fraction or floor-space fraction.

partition of a

unit fraction into a sum of either two or three like

In other words, this critical incident could become the basis for investigating

unit fractions; to investigate the fact that the larger the denominator of a

unit fraction, the smaller the fraction will be.

Rather than interfere with his construction of fraction knowledge, Joe's multiplying scheme seemed to enable a rather powerful conception of

unit fraction that had not yet been incorporated into his more general fraction knowledge.

Ask students to mark each of the parts with the appropriate

unit fraction.

The labelling of quantities using improper fractions required students to interpret 1/2 not as x out of y, or one out of two, as associated with the part-whole model, but as one-half, where the numerator tells us how many of the

unit fraction quantities we have.

Activities for students at each stage of knowledge: fragmenting, part-whole reasoning, measuring with

unit fractions, reversible reasoning, fractions as numbers, and operations with fractions.

Solve real-world problems involving division of

unit fractions by non-zero whole numbers and division of whole numbers by

unit fractions (such as by using visual fraction models and equations to represent the problem).

Extend previous understandings about how fractions are built from

unit fractions, composing fractions from

unit fractions, decomposing fractions into

unit fractions, and using the meaning of fractions and the meaning of multiplication to multiply a fraction by a whole number.