There are 3 different sets to choose from, depending on where the children in your class are with their understanding of multiplication. I often had 2 sets displayed simultaneously. It's rare to have a class where all of the children are working at the same level, which is why I ended up making 3 different versions.
These posters provide visual support for children as they develop their understanding of different strategies for solving multiplication equations. They can also support your own understanding (this was my own experience!) which will enhance your ability to transcribe children's mathematical thinking for the rest of your class during Number Talks.
It can be particularly tricky to help children understand what is happening when they use 'Factoring', 'Partial Products' and 'Double and Half'. Often, children will use these strategies without completely understanding why they work. These posters provide a visual representation of what is happening when you use these strategies - I've always found that these types of representations help both me AND my class to deepen our understanding of the mathematical processes we are using.
When students 'factor a factor' to solve their equation, they are re-arranging the multiplication groups. They are NOT splitting the factors by addition - they are reducing the factors in their original problem to smaller factors. So - instead of having '7 rows of 8' (in the poster above), that can be turned into '7 rows of 4' (as 8 = 2 rows of 4). Once you have found that '7 rows of 4' is 28, you have 2 groups of 28 (2 x 28), which gives you your final answer of 56. When you factor the original factors, all of the factors are then multiplied by each other BECAUSE you are re-arranging the groups/rows that you are working with in multiplication. This strategy is tricky, and younger students are unlikely to use it. But as children get older, if they can begin to understand and use this strategy, they will find it extremely helpful as they move into working with algebraic equations.
These files also include easier/more straightforward strategies (which the children in your class may be more likely to use):