I made these cards to help students practice multiplying a whole number by a mixed number using the area model. Working with my students this past year, I realized that they were struggling not just with the number manipulation, but with "seeing" the dimensions of each quadrilateral. Students were not correctly able to identify the length and width and frequently put the fractional part with the wrong dimension, resulting in incorrect products. I decided to create 2 levels of cards. The models are identical except for the labeling.
I teach above level fifth grade students, and was headed towards the Core 6 standard of finding volume with fractional dimensions. They had significant gaps with multiplying mixed numbers, so I decided to backtrack to 2D shapes and go from there.
Set A (28 cards) present the model but only label the fractional dimension. Students must count the squares for the remaining information. The recording sheet requires them to record the length, width, and area.
Set A2 (28 cards) present the same models, but are fully labeled. The recording sheet requires only the area.
I wanted the students to be able to use the distributive property to find the answers and not rely on a rote method of converting mixed number to improper fractions and cross-canceling. These fit the bill. My students found Set A significantly more challenging, and I was glad that they had the experience identifying the dimensions when we moved on to cards with fractional length and width dimensions. Each of these cards only has one fractional dimension. The first few pages are all unit fractions, but later pages require more difficult fractions.
This is a 21-page PDF file that includes a differentiated double set of 28 task cards (14 pages), recording sheets (2 pages), answer key (1 page), note sheet (1 page), and student worksheet/answer keys (2 pages), and notes from me (1 page).