Understanding the convention we use to name parts (the relative size of the part to 1 determines the name) and how they are written in symbols is crucial.

Recognizing that 2/5 means 2 fifths, similar to phrases like 2 apples or 2 pieces, is fundamental.

Understanding that the denominator represents a denomination (name) is important. In other words, it functions as a noun.

This understanding will help students with calculations like 4/7:2, i.e., 4 sevenths divided into 2 equal groups.

In think! Mathematics, I have developed and researched this anchor task through numerous lesson study processes.

Four friends share a sheet of (square/rectangular) art paper, ensuring everyone gets the same amount.

During structured discussions, focus on how students verify if the parts are equal.

In the Honolulu session, we explored methods such as folding, measuring the sides of the parts, cutting out, and counting congruent triangles.

In method 6, the group suggested that the “diagonal method” would not be controversial for squares. There was some disagreement about whether the diagonal lines divided the rectangle into four equal parts, as the triangles are not all congruent.

** Dr. Yeap Ban Har is the instructor in our “Teaching Fractions Course.” Click Here to Learn More