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Tenth Grade - Mathematics
Activities
Bankruptcy
Financial and Economic Concepts: Bankruptcy
Tenth Grade – Secondary Mathematics 1
Unit 4: Descriptive Statistics
Descriptor 2 - S.ID.2 Use statistics appropriate to the shape of the data distribution to compare center (median, mean) and spread (interquartile range, standard deviation) of two or more different data sets.
Students will analyze current bankruptcy statistics and plot the data.
Instructor will read the article about Utah bankruptcy filings provided or any other article/information that may give some background. Discuss findings with students and introduce the activity.
Distribute a current copy of the bankruptcy statistics to students and have them look over the information. (choose either the per capita stats website or the chart below with the actual number of filings.)
Ask each student to pick 10 states in different parts of the United States, one of which must be Utah. (if the instructor wants the class to have the same 10 states then they can choose the ten they want the student to analyze.) Have students transfer the information to their paper/worksheet.
Students will then compute the different measures of spread, including the range and standard deviation.
Extra: Have students create a chart/graph on the 10 states.
Bankruptcy Filings (per capita) By State
Utah Bankruptcy Filings Rose 56% in 1st Quarter - Bankruptcy Article for teacher prep or for students to read
Personal Bankruptcy Stats by State – 2009 Chart (pdf)
Basic Secondary Education Costs
Financial and Economic Concepts: CareersTenth Grade – Mathematics in Personal Finance
Standard 2: Students will understand sources of income and the relationship between income and career preparation.
Objective 1: Identify various forms of income and analyze factors that affect income.
For this activity, students investigate and record basic secondary education costs.
Require each student to decide on a college major. Provide three 3X5 cards to the student. Using CIS, have students write the following information on the cards:
Card 1
- Name of a 4-Year Public In-State College or University
- Tuition Cost
- Housing Cost
- Board (meals) Cost
- Additional Fees
Card 2
- Name of a 4-Year Private In-State College or University
- Tuition Cost
- Housing Cost
- Board (meals) Cost
- Additional Fees
Card 3
- Name of a 4-Year Public or Private Out-of-State College or University
- Tuition Cost
- Housing Cost
- Board (meals) Cost
- Additional Fees
From the findings, ask students to rank, in order of preference, the three investigated schools. Then, have them write on the back of each card the ranking number and justification for the ranking. Use a piece of string or yarn to connect the three cards to make a mobile. Hang in the classroom.
Hold a class discussion about their findings.
Complete Lesson Plan (When accessing this lesson you may be prompted to sign in. Simply select your town and enter your zip code and area code.)
A Roof Over Our Heads
Financial and Economic Concepts: Insurance Tenth Grade – Mathematics in Personal Finance
Standard 3: Students will understand principles of money management.
Objective 5: Discuss the purposes for insurance and risk management.
Excerpt from student worksheet:
“If you lost your entire roof in a tornado, how much would you need to pay for a new one? That depends on the kind of insurance policy you have, where you live, the cost of building materials and construction of your roof, and other factors. Understanding factors such as these helps actuaries set premiums for insurance companies.”
Student Worksheet (pdf)
Longevity Game
Financial and Economic Concepts: Insurance Tenth Grade – Mathematics in Personal Finance
Standard 3: Students will understand principles of money management.
Objective 5: Discuss the purposes for insurance and risk management.
The Longevity Game
This interactive website has students input variable information regarding their lifestyle (smoking, exercise, and other habits) to predict how long they will live. Prior to activity have student predict how long they think they will live and explain why in writing. After completing activity, have students identify if they were correct or not and explain what they plan to do to improve or maintain their life span.
Exponential Growth and Decay
Financial and Economic Concepts: Interest Tenth Grade – Algebra 2
Standard 2: Students will understand and represent functions and analyze function behavior.
Objective 3: Define and graph exponential functions and use them to model problems in mathematical and real-world contexts.
This lesson is designed to help students understand the basic concepts of exponential growth and decay. The lesson assumes that the students have basic knowledge of exponents and functions. This lesson is meant to help the students understand the real-life applications of exponential decay and growth.
