## Course Overview

In K^{12} High School Practical Math, students learn about the many practical applications of math in everyday life. Topics of study in this course include statistics, probability, statistical graphs, regression, finance, budgeting, and mathematical modeling. Proficiency is measured through frequent online and offline assessments, as well as class participation. Project units also allow students to apply and extend their math skills for problem solving. This is the second semester of MTH307.

## Course Outline

### SEMESTER 1

#### Practical Math A, Unit 1: Working with Data

Graphs are often used to represent numerical facts, or data. The graph used depends on the kind of numbers in the data set. For example, a line graph would probably be the best graph to use to represent average temperatures: change over time. In this unit, students learn how to read graphs and how to tell if a graph is accurate or misleading.

- Semester Introduction
- Foundations
- Measures of Center 1
- Measures of Center 2
- Measures of Center 3
- Statistical Graphs 1
- Statistical Graphs 2
- Statistical Graphs 3
- Measures of Spread 1
- Measures of Spread 2
- Measures of Spread 3
- Practice and Assess
- Unit Review
- Unit Test

#### Practical Math A, Unit 2 Project: Statistics in the Media

The media uses statistics all the time. Certain facts are described using numbers and other times they are described using graphs. In this project, students research examples of how statistics are used in the media.

- Project Research 1
- Project Research 2
- Project Draft 1
- Project Draft 2
- Project Completion

#### Practical Math A, Unit 3: Connections Between Data

It has been shown that the amount of sleep a person gets each day decreases as they get older. How would someone show the connections between the age of a person and the amount of sleep that person gets each day? In this unit, students learn how to show connections among data.

- Foundations
- Your Choice
- Scatter Plots 1
- Scatter Plots 2
- Scatter Plots 3
- Correlation 1
- Correlation 2
- Correlation 3
- Linear Regression 1
- Linear Regression 2
- Linear Regression 3
- More Regression 1
- More Regression 2
- More Regression 3
- Unit Review
- Unit Test

#### Practical Math A, Unit 4 Project: Creating a Survey

Surveys are an important tool for gathering information. Sometimes people complete surveys on the phone, on the computer, or from a newspaper. This project gives students hands-on experience with creating a survey.

- Project Research 1
- Project Research 2
- Project Draft 1
- Project Draft 2
- Project Completion

#### Practical Math A, Unit 5: Uncertainty

The day-to-day unpredictability of weather, the uncertain outcome of a football game, or the simple toss of a coin all give evidence to the fact that we live in a world of uncertainty. This unit focuses on how mathematics can be used to help make sound estimations about uncertain events.

- Foundations
- Permutations and Combinations 1
- Permutations and Combinations 2
- Permutations and Combinations 3
- Probability 1
- Probability 2
- Probability 3
- Expected Value 1
- Expected Value 2
- Expected Value 3
- Unit Review
- Unit Test

#### Practical Math A, Unit 6 Project: Applied Probability

Playing games involves winning and losing. As with all games of chance, winning or losing depends on outcomes that are beyond our control. This project gives students hands-on experience with using probability to create their own game.

- Project Research 1
- Project Research 2
- Project Draft 1
- Project Draft 2
- Project Completion

#### Practical Math A, Unit 7: Mathematical

Robert Boyle wrote an equation that describes how the pressure, volume, and temperature of a gas relate to each other. Boyle's Law is a useful model that has helped scientists and engineers solve countless problems. Thanks to Boyle's Law, scuba divers can explore the ocean's depths. The first step to solving many real-world problems is figuring out how to write the math that describes what is going on.

- Foundations
- Variation 1
- Variation 2
- Variation 3
- Sequences 1
- Sequences 2
- Sequences 3
- Matrices 1
- Matrices 2
- Matrices 3
- Geometric Models 1
- Geometric Models 2
- Geometric Models 3
- Unit Review
- Unit Test

#### Practical Math A, Unit 8: Semester Review and Test

- Semester Review
- Semester Test

### SEMESTER 2

#### Practical Math B, Unit 1: Income

Most people get and keep a job so they can make money. It might seem that if someone earns $8 an hour and works for 10 hours, then that person would end up with $80, but it isn't quite that simple. To understand where the money they earn goes, students need to learn about taxes and other deductions. Once they have money, they can use savings and checking accounts to manage their basic finances. Once students know how to figure out their paycheck and how to manage bank accounts, they will be well on their way to financial independence.

- Semester Introduction
- Foundations
- Making Money 1
- Making Money 2
- Making Money 3
- Taxes and Other Deductions 1
- Taxes and Other Deductions 2
- Taxes and Other Deductions 3
- Banking 1
- Banking 2
- Banking 3
- Unit Review
- Unit Test

#### Practical Math B, Unit 2 Project: Jobs and Living Expenses

Everyone eventually needs to find their way in the world, including finding a job or career so that living expenses can be paid. This project gives students experience researching jobs and figuring out net income as well as living expenses.

- Project Research 1
- Project Research 2
- Project Draft 1
- Project Draft 2
- Project Completion

#### Practical Math B, Unit 3: Budgeting

A person without a budget could run out of money and be unable to pay the bills. Learning how to budget money is the only way to avoid this. In fact, having a budget can help people avoid debt and save money. Knowing how to budget and how credit works helps people be in control of their finances.

- Foundations
- Budgeting 1
- Budgeting 2
- Budgeting 3
- Cash vs. Credit 1
- Cash vs. Credit 2
- Cash vs. Credit 3
- Housing 1
- Housing 2
- Housing 3
- Transportation 1
- Transportation 2
- Transportation 3
- Unit Review
- Unit Test

#### Practical Math B, Unit 4 Project: Buy vs. Lease

These days, people have the option to buy or lease a car. Which option is better? This project gives students experience in determining which is better.

- Project Research 1
- Project Research 2
- Project Draft 1
- Project Draft 2
- Project Completion

#### Practical Math B, Unit 5: Saving Money

People who stick to their budget often find they have money left over to invest. Investing money is a good idea because it grows over time. But to understand investments, students need to know more about interest. Once they understand their investments, students are able to make good investments and watch their money grow.

- Foundations
- Interest 1
- Interest 2
- Interest 3
- Insurance 1
- Insurance 2
- Insurance 3
- Investments 1
- Investments 2
- Investments 3
- Unit Review
- Unit Test

#### Practical Math B, Unit 6 Project: Saving Strategies

People save money for different reasons. Some have short-term savings plans for things they want to buy or in case of emergencies. Others have long-term savings plans for things such as retirement. This project gives students experience with seeing how saved money grows over time.

- Project Research 1
- Project Research 2
- Project Draft 1
- Project Draft 2
- Project Completion

#### Practical Math B, Unit 7: More Math Models

Music is related to fractions and symmetry. An equation can be used to show how a pendulum swings. In fact, numbers, equations, and graphs are just a few ways that students can model real-life situations.

- Foundations
- Growth and Decay 1
- Growth and Decay 2
- Growth and Decay 3
- Math and Music 1
- Math and Music 2
- Math and Music 3
- Right Triangle Trig 1
- Right Triangle Trig 2
- Right Triangle Trig 3
- Periodicity 1
- Periodicity 2
- Periodicity 3
- Unit Review
- Unit Test

#### Practical Math B, Unit 8: Semester Review and Test

- Semester Review
- Semester Test