options: Represent and model with vector quantities.

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

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

Know that there are numbers that are not rational, and approximate them by rational numbers.

Reason quantitatively and use units to solve problems.

Perform operations on matrices and use matrices in applications.

Perform arithmetic operations with complex numbers.

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

Extend the properties of exponents to rational exponents.

Perform operations on vectors.

Represent complex numbers and their operations on the complex plane.

Use properties of rational and irrational numbers.

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

Use complex numbers in polynomial identities and equations.
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: 12