mathematical modeling

This lesson unit is intended to help you assess how well students are able to:

• Interpret a situation and represent the constraints and variables mathematically.
• Select appropriate mathematical methods to use.
• Make sensible estimates and assumptions.
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This lesson unit is intended to help you assess how well students understand the notion of positive correlation. In particular this unit aims to identify and help students who have difficulty in:

• Understanding correlation as the degree of fit between two variables.
• Making a
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This lesson unit is intended to help you assess how well students are able to identify and use geometrical knowledge to solve a problem. In particular, it aims to identify and help students who have difficulty in:

• Making a mathematical model of a geometrical situation.
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This lesson unit is intended to help you assess how well students are able to:

• Interpret a situation and represent the variables mathematically.
• Select appropriate mathematical methods.
• Interpret and evaluate the data generated.
• Communicate their reasoning
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This lesson unit is intended to help you assess how well students are able to:

• Interpret a situation and represent the variables mathematically. Select appropriate mathematical methods to use. Explore the effects of systematically varying the constraints.
• Interpret and
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This lesson unit is intended to help you assess how well students are able to model a real-world situation and compare and critique sample models. In particular this lesson aims to identify and help students who have difficulty recognizing and using proportional relationships.

This lesson unit is intended to help you assess how well students are able to:

• Interpret a situation and represent the variables mathematically.
• Select appropriate mathematical methods to use and communicate their reasoning clearly.
• Explore the effects on a
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This lesson unit is intended to help you assess how well students are able to:

• Model a situation.
• Make sensible, realistic assumptions and estimates.
  • Use assumptions and estimates to create a chain of reasoning, in order to solve a practical problem.

This lesson unit is intended to help you assess how well students are able to solve a real-world modeling problem. There are several correct approaches to the problem, including some that involve proportional relationships.

This lesson unit is intended to help you assess how well students are able to use an approximate mathematical model of a real-world situation and use data to test, critique, and compare models. In particular this unit aims to identify and help students who have difficulty using variables to...

Students will model the data with both a linear function and an exponential function and use it to predict the CO2 concentration in the year 2050 and also when the CO2 concentration will be above 500 parts per million. Students will discuss and document which model makes a better prediction and...

Students will choose the best option for a yearbook under the given conditions. They will analyze pricing from different yearbook companies and narrow their choices to three. They will create models and use these to solve the task algebraically and graphically. They will create a presentation...

In this task, students will investigate a periodic phenomenon in the world and propose a mathematical model that demonstrates the phenomenon. Upon completion of the project, students will submit a poster or a written report demonstrating the periodic phenomenon investigated. A 5-6 minute...

This task uses a new product, Joulies, which claims to help keep hot drinks hot longer. Students will study the change in temperature of an object as it cools and model its temperature as a function of time and use their knowledge of Algebra 2 in order to build a mathematical model of a cooling...

In this task, the students mathematically model changes in the bee colony numbers from the United States and from two individual states, California and South Dakota.

Students then use their constructed mathematical models to describe factors affecting the bee colony populations. The...

This task is an opportunity for students to apply their statistical reasoning to a relevant social and health issue: the importance of sleep. This task focuses on the use of the normal distribution as a mathematical model and on formulating a question, gathering data, and answering a key...

In this task, students will be asked to write an article about how the cost of education has increased over time.

Students will be required to create scatterplots and graphs that demonstrate their knowledge of linear equations to use in their article. They will also be turning in their...