One way to learn how to multiply and factor trinomials is to use algebra tile models.
TEKS Standards and Student Expectations
A(8) Quadratic functions and equations. The student applies the mathematical process standards to solve, with and without technology, quadratic equations and evaluate the reasonableness of their solutions. The student formulates statistical relationships and evaluates their reasonableness based on real-world data. The student is expected to:
A(8)(A) solve quadratic equations having real solutions by factoring, taking square roots, completing the square, and applying the quadratic formula
A(8)(B) write, using technology, quadratic functions that provide a reasonable fit to data to estimate solutions and make predictions for real-world problems
Use models to multiply factors.
Use models to factor quadratic equations.
How can models be used to multiply factors?
How can models be used to factor a quadratic equation?
How can factors be used to find the solutions to a quadratic equation?