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

Represent and model with vector quantities.

Extend the properties of exponents to rational exponents.

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

Perform operations on vectors.

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

Represent complex numbers and their operations on the complex plane.

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

Perform operations on matrices and use matrices in applications.

Use properties of rational and irrational numbers.

Use complex numbers in polynomial identities and equations.

Reason quantitatively and use units to solve problems.

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

Perform arithmetic operations with complex 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: 3