Sums and Products
These materials, when encountered before Algebra 1, Unit 7, Lesson 6 support success in that lesson.
The mathematical purpose of this lesson is for students to recognize that 2 expressions can make up a product and to practice using the area model for multiplying 2 sums. Students consider riddles in which they must find values that multiply to a given value and sum to another given value. In the associated Algebra 1 lesson, students begin the process of rewriting quadratic expressions in factored form. Gaining fluency with the area model will help students use the method to factor quadratics. Students look for and make use of structure (MP7) when they use the sums and products of expressions to find area. Students model with mathematics (MP4) when they use a context of framing pictures to multiply binomials.
- Recognize that two expressions can make up a product
- Let’s explore sums and products of numbers