Add and subtract fractions with like denominators with sums greater than 1 represented by mixed numbers using visual fraction models.

Clarifications:

Essential Understandings

Concrete:

To add, use fraction manipulatives (each piece may be labeled with the corresponding unit fraction) to model each fraction and join them to find the sum (e.g., 3/4 + 2/4 = 5/4).
To subtract, use fraction manipulatives (each piece may be labeled with the corresponding unit fraction) to model the first number in the expression and remove manipulatives that represent the fraction being subtracted (e.g., 5/4 - 2/4 = 3/4).

Representation:

To add, use a visual representation of a whole divided into equal pieces (each piece may be labeled with the corresponding unit fraction). Shade each unit to represent the fractions in the expression and count the shaded units to find the sum.
To subtract, use a visual representation of the first fraction in the expression. Cross out the piece(s) that represent the fraction being subtracted. Count the remaining piece(s) to find the remainder.
Understand the following vocabulary: fraction, numerator, denominator, fraction greater than one, mixed number.

Access Point #: MAFS.5.NF.1.AP.1a Archived Access Point

Access Point Standards

Visit the specific benchmark webpage to find related instructional resources.

MAFS.5.NF.1.1:Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12. (In general, a/b + c/d = (ad + bc)/bd.)

Access Point Information

Number:

MAFS.5.NF.1.AP.1a

Category:

Access Points

Date Adopted or Revised:

06/14

Cluster:

Use equivalent fractions as a strategy to add and subtract fractions. (Major Cluster) :

Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.

Access Point Courses

Access Mathematics Grade 5 (#7712060) Access Courses: Access courses are for students with the most significant cognitive disabilities. Access courses are designed to provide students access to grade-level general curriculum. Access points are alternate academic achievement standards included in access courses that target the salient content of Florida’s standards. Access points are intentionally designed to academically challenge students with the most significant cognitive disabilities.