Middle School Resource
Using pattern blocks, students can discover the relationship between multiplication and division of common fractions by noting that 1/3 x 1/2 is equivalent to 1/3 ÷ 2. Using the commutative property, 1/3 x 1/2 = 1/2 x 1/3 or 1/2 of 1/3. If a yellow hexagon is 1, then the blue rhombus is 1/3 and 1/2 of 1/3 is the green triangle. The green triangle is 1/6 of the whole unit (yellow hexagon).
Related NY State Academic Standards: 4.NF.4, 4.NF.4.b, 4.NF.4.c, and more!
Be sure to check out our Educational Resources, featuring thousands of activities, lesson plans, constructed-response questions, rubrics, teacher resources, multimedia, and more!