options: Reason quantitatively and use units to solve problems.

Represent and model with vector quantities.

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

Represent complex numbers and their operations on the complex plane.

Extend the properties of exponents to rational exponents.

Use complex numbers in polynomial identities and equations.

Perform operations on matrices and use matrices in applications.

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

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

Use properties of rational and irrational numbers.

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

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

Perform operations on vectors.

Perform arithmetic operations with complex numbers.
problem_activity: Problem 1
In a 30-minute television show, 12 minutes of the airtime are spent on commercials.
a.   Draw a visual representation of the problem.
b.   Determine what percent of the television show’s airtime is spent on commercials. Choose any strategy.
c.   Find a peer who used a different strategy to solve than you did. Compare and discuss your strategies and solutions.
Problem 2
Cole and Jamie are raising money for the annual Walk for Hunger in their city. They each have a goal to raise $250. So far, Cole has raised $150 and Jamie has raised $180.
a.   What percent of their goal did each boy raise so far?
b.   What is the amount that Cole raised as a percent of the amount Jamie raised?
c.   What is the amount Jamie raised as a percent of the amount Cole raised?
Problem 3
At a middle school, 480 students in sixth through eighth grade responded to a survey that asked them what their favorite season was. The circle graph below shows some of the data from the survey.
Student Survey “Favorite Season”
[IMG]
a.   How many students chose spring as their favorite season?
b.   What percent of students chose summer as their favorite season?
c.   In just the sixth-grade class, 28 students chose winter as their favorite season. This was 20% of the sixth grade. How many students are in the sixth grade at this school?


correct_option_index: 8