Objectives
Students should be able to connect the distributive law to an area model, recognize quadratic expressions in many forms, and understand that the product of two binomial expressions can be determined by multiplying each term in one sum by each term in the other sum.
Vocabulary
rectangle
square
area
Students understand how to recognize the structure in equivalent quadratic expressions.
Students make connections between the area models and algebraic expressions they represent.
Which of the following expressions are equivalent to \((x + 4)^2\)?
Answer: c. \((x + 2)^2 + 4(x + 3)\)
Using geometric shapes as tools to visualize the algebraic structure of expressions can help in thinking about equivalent expressions involving quadratics.
Students use virtual manipulatives to connect the structure of equivalent expressions
Help students to recognize the role of area models in illustrating the distributive property.
