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