# 3NF3d Numer and Operations Fractions

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```					 Standard—3.NF.3d Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size.
d. Compare two fractions with the same numerator or the same denominator by reasoning about their size. Recognize that comparisons are valid
only when the two fractions refer to the same whole. Record the results of comparisons with the symbols >, =, or <, and justify the conclusions, e.g.,
by using a visual fraction model.

OVERALL STANDARD TYPE          K R    PS     P
LEDGEND                   FORMATIVE ASSESSMENT
STANDARD                        TYPE (F.A.T.)
K=KNOWLEDGE               S.R.=SELECTED RESPONSE
R=REASONING               E.W.=EXTENDED WRITTEN RESPONSE
P.S. PERFORMANCE SKILL     P.A=PERFORMANCE ASSESSMENT
P= PRODUCT                P.COM.=PERSONAL COMMUNICATION

LEARNING TARGETS                                 TYPE   I CAN STATEMENTS                                             F.A.T.   FORMATIVE ASSESSMENT

Explain what the numerator in a fraction         K            I can explain what the numerator in a fraction
represents and its location.                                   represents and its location.
Explain what the denominator in a fraction       K            I can explain what the denominator in a
represents and its location.                                   fraction represents and its location.

Recognize whether fractions refer to the         K            I can recognize whether fractions refer to the
same whole.                                                    same whole. (For example, ½ of a hamburger
is not the same as ½ of a large pizza; ½ of a
small box of crayons will not be larger than ¼
of a large box of crayons.)
Determine if comparisons of fractions can        R            I can determine if comparisons of fractions can
be made (if they refer to the same whole).                     be made (if they refer to the same whole).
Compare two fractions with the same              R            I can compare two fractions with the same
numerator by reasoning about their size.                       numerator by reasoning about their size. (1/2
of a large pizza vs. 1/3 of a large pizza, e.g. ½ 
1/3.)
Compare two fractions with the same              R            I can compare two fractions with the same
denominator by reasoning about their size.                     denominator by reasoning about their size.
(1/4  ¾).

Record the results of comparisons using          R            I can record the results of comparisons using
symbols >, =, or <.                                            symbols >, =, or <. (For example, ½  1/3; ¼ 
¾; 2/4 = 4/8).

Justify conclusions about the equivalence of   R             I can justify conclusions about the equivalence
fractions.                                                    of fractions by using visual fraction models,
such as number lines and pictures.

Vocabulary

Numerator, denominator, comparisons, symbols, justify, visual fraction models.

Activities & Resources

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