options: Reason quantitatively and use units to solve problems.

Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers.

Apply and extend previous understandings of multiplication and division to divide fractions by fractions.

Use complex numbers in polynomial identities and equations.

Extend the properties of exponents to rational exponents.

Apply and extend previous understandings of numbers to the system of rational numbers.

Use properties of rational and irrational numbers.

Perform operations on matrices and use matrices in applications.

Represent complex numbers and their operations on the complex plane.

Compute fluently with multi-digit numbers and find common factors and multiples.

Represent and model with vector quantities.

Perform arithmetic operations with complex numbers.

Perform operations on vectors.

Know that there are numbers that are not rational, and approximate them by rational numbers.
problem_activity: Task
Lucia uses the picture below to explain the distributive property for the expression (3+1) $\times$ (5+1):
[IMG]
Find (3+1) $\times$ (5+1) using the distributive property.
Explain how Lucia's picture relates to your calculation in (a).
How can Lucia use a picture to find (3-1) $\times$ (5-1) using the distributive property? Explain.


correct_option_index: 1