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

Perform operations on vectors.

Represent and model with vector quantities.

Perform operations on matrices and use matrices in applications.

Perform arithmetic operations with complex numbers.

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

Extend the properties of exponents to rational exponents.

Reason quantitatively and use units to solve problems.

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

Represent complex numbers and their operations on the complex plane.

Use complex numbers in polynomial identities and equations.

Use properties of rational and irrational numbers.

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

Know that there are numbers that are not rational, and approximate them by rational numbers.
problem_activity: A family has a house on a plot of land and would like to build an addition. The map below shows the “footprint” of the original house, the proposed addition, and the family’s plot of land. Each grid line represents 10 linear feet.
[IMG]
The family’s plot of land is rectangular. What are the values of the missing coordinates,
$$x$$
and
$$y$$
?
What is the ratio of the proposed addition “footprint” area to the original house “footprint” area?
What is the area of land that will not have a building on it if the proposed addition is approved and built?
Prove that the proposed addition “footprint” is a right triangle.


correct_option_index: 7