You should know how to draw representations of fractions (proper fractions, improper fractions, and mixed numbers) as arrays, non-array area models, linear models and discrete models.

You should know how to explain a representation of a fraction using the Common Core 3rd grade fraction representation:

CCSS.MATH.CONTENT.3.NF.A.1How to find equivalent fractions (both by making the fraction less simple, and by simplifying the fraction) using diagrams, numbers, and explaining how you get the number work from the diagrams.

Understand a fraction 1/bas the quantity formed by 1 part when a whole is partitioned intobequal parts; understand a fractiona/bas the quantity formed byaparts of size 1/b.

CCSS.MATH.CONTENT.3.NF.A.2

Understand a fraction as a number on the number line; represent fractions on a number line diagram.CCSS.MATH.CONTENT.3.NF.A.2.A

Represent a fraction 1/bon a number line diagram by defining the interval from 0 to 1 as the whole and partitioning it intobequal parts. Recognize that each part has size 1/band that the endpoint of the part based at 0 locates the number 1/bon the number line.CCSS.MATH.CONTENT.3.NF.A.2.B

Represent a fractiona/bon a number line diagram by marking off a lengths 1/bfrom 0. Recognize that the resulting interval has sizea/band that its endpoint locates the numbera/bon the number line.

Prime and composite numbers: identifying prime numbers, explaining why 1 is not prime using the unique factorization property, and finding prime factorizations of composite numbers.

Definition of factor and multiple

Finding LCMs and GCDs both by making lists and by using prime factorizations.

Write word problems for fraction addition, subtraction (separate and compare), multiplication and division (measurement and partitive).

Identifying a word problem as fraction addition, subtraction, multiplication, division, or a combination of two of these.

Understanding remainders and fractional parts of answers to measurement division problems

- Fraction equivalence

- Fraction addition (using arrays)

- Fraction subtraction
- Multiplication of fractions or mixed numbers
- Division of fractions or mixed numbers/improper fractions (you
will be allowed to chose an interpretation for a numerical
division of fractions problem: measurement, partitive or fact
families; part of your task will be to explain your
interpretation, for example, the explanation of a partitive
interpretation would be "____ is shared into ____ (of a)
group(s), how much is in 1 group?")