Operations with fractions: interpret student misconceptions related to equivalent fractions and explain how you will deal with those to develop their understanding.

Operations with fractions (Equivalency, Addition & Subtraction, and Multiplication)

1. Equivalent Fractions

a) Use appropriate drawings and representation related to equivalent fractions,

i.e. if given uncommon denominators, show steps taken to create same sized

pieces to represent equivalency.

b) Interpret student misconceptions related to equivalent fractions and explain

how you will deal with those to develop their understanding.


2. Addition and Subtraction

a) Use appropriate representations to model fraction addition and subtraction, i.e. if given
uncommon denominators, obtain pieces of the same size for both fractions then add or
subtract these pieces.

b) Interpret student misconceptions related to fraction addition and subtraction and explain
how you will deal with those to develop their understanding.

Example from class: Patti’s problem

c) Write story problems for addition and subtraction of fractions.

d) Determine if a story problem involves addition and subtraction of fractions.


3. Multiplication

Fraction × Whole Number

Whole Number × Fraction

Fraction × Fraction

a) Interpret representations (number line/area model/other pictorial models) for
multiplying fractions and judge fraction representations for appropriateness.

b) Use visual models, including bar graphs, the number line, and the area model, to solve

word problems involving multiplication of fractions.

c) Write story problems for multiplication of fractions.

d) Determine if a story problem involves multiplication of fractions.