In this lesson, students use a diagram to multiply factors of the form \((a+b)(c+d)\) and gain fluency by using the diagrams in different ways. In the associated Algebra 1 lesson, students factor quadratic expressions of the form \(x^2 - a^2\). Familiarity with using diagrams to find factors can support students with a more concrete method to approach factoring. Students look for and make use of structure (MP7) when they use diagrams to expand and factor partially filled in diagrams.
- Recognize that two of the terms from the expanded form of quadratics are opposites.
- Use a diagram to multiply expressions
- Let’s explore multiplication strategies.