Grade
5

Guess My Rule: Fraction Operations

A red circle and a blue circle overlap. Inside the red circle: 5 divided by 1-half. 6 divided by 1-third. 10 divided by 1-fourth. Inside the blue circle. 3-fifths times 1-third. 3-eighths + 1-fourth. 1 and 1-half times 1-half. 2 minus 1 and 1-third. 2-thirds times 3-fourths. 3-fifths times 1. Inside the overlap: 1-third divided by 4. 1-half divided by 3. Outside the circles: no expressions.
  1. Some expressions belong in the circles, and some do not. What is the rule to be in the red circle? What is the rule to be in the blue circle? What is the rule to be in both circles?
  2. Write an expression that belongs in the intersection of the circles. How do you know it belongs there?
  3. Write another expression that belongs in only the red circle.
  4. Write another expression that belongs in only the blue circle.

Solve each expression in the blue circle. What do you notice about the solutions?

Look at each expression in the red circle. What do you notice about the dividend and divisor?

Make your own rules. Include a rule that is about the multiplication or division of fractions. You can use the circles below or draw your own.

If possible, show some examples that belong inside each circle and some examples that don’t belong in either circle.

A red circle and a blue circle overlap. The rule for the red circle is ... The rule for the blue circle is ...
Printable Version

Google doc for printing and copying

Seesaw Version

Activity for the Seesaw platform

Reference for Educators

Sample problems and solutions