GRADE BAND: 3-6
Domain: Fractions
Why this domain is a priority for
professional development

Fractions are the foundation for success in algebra.
Key standards in this domain that pd
should focus on

Attention to the meaning of fractions
 3.NF
Develop understanding of fractions as numbers
 1.
Understand a fraction 1/b as the quantity formed by 1
part when a whole is partitioned into b equal parts;
understand a fraction a/b as the quantity formed by parts
of size 1/b.
 4.NF.1
Explain why a fraction a/b is equivalent to a
fraction (nxa)/(nxb) by using visual fraction models…
 5.NF.3 (6,7) Apply and extend previous understandings
of multiplication and division to multiply and divide
fractions. (solve real world problems…, apply and
extend previous understandings…)
Key standards in this domain that pd
should focus on

Attention to the whole
 3.NF
 3.
Develop understanding of fractions as numbers
Explain equivalence of fractions in special cases, and
compare fractions by reasoning about their size. (attention
to the whole)
Key standards in this domain that pd
should focus on

Attention to fractions as numbers
 3.NF
Develop understanding of fractions as numbers
 2.
Understand a fraction as a number on the number line;
represent fractions on a number line diagram.
 4.NF.2
Compare two fractions with different numerators
and different denominators, e.g., by creating common
denominators or numerators, or by comparing to a
benchmark fraction such as ½. Recognize that
comparisons are valid only when the two fractions refer
to the same whole.
Key standards in this domain that pd
should focus on

Extending the meaning of the operations to fractions


4.NF.3d Solve word problems involving addition and
subtraction of fractions referring to the same whole and having
like denominators, e.g., by using visual fraction models and
equations to represent the problem.
6.NS.1 Apply and extend previous understandings of
multiplication and division to divide fractions by fractions.
Existing resources that support these
domains and standards




Sybilla Beckmann, Mathematics for Elementary
Teachers
VMI, Focus on Fractions, by Laird, Norsden, Petit
NCTM Focus in Grade 5
Wu, Online resources on fractions (check his web
page)
Domains and standards that are in
need of new resources


Resources are there.
We need professional development structures that
support implementation