Visual representations of Fractions

Grade 9s are working on operations with fractions. Today we worked on multiplying.

We started by representing multiplication with an area model, using whole numbers.

Next we spent time exploring what it means if we multiply fractions with an area model. This question represents 2/3 times 1/2. We started by using vertical lines to divide the rectangle into thirds, and we coloured 2 of the thirds. Next we divide the rectangle horizontally into 2 pieces and we colour one of the halves.

the result of the multiplication will be a fraction. The numerator is the pieces that were coloured twice. In this case, 2 pieces. The total number of pieces will be the denominator. There are 6 total pieces. The result is 2/6 which simplifies to 1/3.

We did a few more examples at the walls, and then tried a new model for taking meaningful notes. The first quadrant has an example that involves filling in a few blanks, but the format is highly scaffolded. The second example leaves room for students to use their knowledge. The third quadrant is where they can write down an example we’ve done, or make up their own. The final quadrant is where they write some pointers for themselves for next week when we look at this again.

This note taking practice will be something we will be working on this term as a way to document our learning.