These problems recur in homework throughout units 0-7. In Unit 2 and subsequent units, the tiles are used to create area models for multiplying algebraic terms. Toward the end of the first semester tiles and generic rectangles are used to introduce multiplying binomials. Once again tiles, area models, and patterning are used to help concretize and visualize factoring, and the process is tied back to the diamond problems. Factoring is revisited in each of the subsequent CPM courses.
Answers appear in bold print, as they do in the teacher version of the text.
Explain how you would do this. Patterns are an important problem solving skill we use in algebra. The patterns in Diamond Problems will be used later in the course to solve algebraic problems. Copy the Diamond Problems below and use the pattern you discovered to complete each of them. Summarize the idea of Combining Like Terms in your tool kit.