options: Use complex numbers in polynomial identities and equations.

Use properties of rational and irrational numbers.

Perform operations on matrices and use matrices in applications.

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

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

Extend the properties of exponents to rational exponents.

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

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

Perform arithmetic operations with complex numbers.

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

Represent and model with vector quantities.

Perform operations on vectors.

Reason quantitatively and use units to solve problems.

Represent complex numbers and their operations on the complex plane.
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: 9