Overview:
This Web Quest has been created for eMINTS comprehensive training. It was created to help students see that there are many ways to solve exponential and logarithmic equations. Many of these processes can be used in multiple ways. It is up to the students to decide which way is best and under what circumstances they work most efficiently. This Web Quest took 2 weeks to complete. Students were given 1 week to complete two tasks. If your students have a stronger background in exponential equations, then this time frame could be reduced.
This Web Quest has been created for eMINTS comprehensive training. It was created to help students see that there are many ways to solve exponential and logarithmic equations. Many of these processes can be used in multiple ways. It is up to the students to decide which way is best and under what circumstances they work most efficiently. This Web Quest took 2 weeks to complete. Students were given 1 week to complete two tasks. If your students have a stronger background in exponential equations, then this time frame could be reduced.
Audience:
This Web Quest was created for a Math Analysis (Junior/Senior) level course. It is the first unit of logarithms these students cover in my class.
This Web Quest was created for a Math Analysis (Junior/Senior) level course. It is the first unit of logarithms these students cover in my class.
Standards:
Students apply digital tools to gather, evaluate, and use information.
Students demonstrate creative thinking, construct knowledge, and develop innovative products and processes using technology.
Students use digital media and environments to communicate and work collaboratively, including at a distance, to support individual learning and contribute to the learning of others.
Students use critical thinking skills to plan and conduct research, manage projects, solve problems, and make informed decisions using
A2.SSE.A.1 Define and use logarithms. Develop the definition of logarithms based on properties of exponents.
A2.SSE.A.2 Use the inverse relationship between exponents and logarithms to solve exponential and logarithmic equations.
A2.SSE.A.3 Use properties of logarithms to solve equations or find equivalent expressions.
A2.SSE.A.4 Understand why logarithmic scales are used, and use them to solve problems.
A2.REI.A.1 Create and solve equations and inequalities, including those that involve absolute value.
A2.IF.A.1 Identify and interpret key characteristics of functions represented graphically, with tables and with algebraic symbolism to solve problems.
A2.IF.A.2 Translate between equivalent forms of functions.
A2.BF.A.2 Derive inverses of functions, and compose the inverse with the original function to show that the functions are inverses.
A2.BF.A.3 Describe the effects of transformations algebraically and graphically.
A2.FM.A.1 Create functions and use them to solve applications of quadratic and exponential function modeling problems.
Students apply digital tools to gather, evaluate, and use information.
- Plan strategies to guide inquiry
- Locate, organize, analyze, evaluate, synthesize, and ethically use information from a variety of sources and media.
Students demonstrate creative thinking, construct knowledge, and develop innovative products and processes using technology.
- Apply existing knowledge to generate new ideas, products, or processes
- Create original works as a means of personal or group expression
- Use models and simulations to explore complex systems and issues
Students use digital media and environments to communicate and work collaboratively, including at a distance, to support individual learning and contribute to the learning of others.
- Interact, collaborate, and publish with peers, experts, or others employing a variety of digital environments and media
- Communicate information and ideas effectively to multiple audiences using a variety of media and formats.
- Contribute to project teams to produce original works or solve problems.
Students use critical thinking skills to plan and conduct research, manage projects, solve problems, and make informed decisions using
- Appropriate digital tools and resources.
- Identify and define authentic problems and significant questions for investigation.
- Plan and manage activities to develop a solution or complete a project
- Collect and analyze data to identify solutions and/or make informed decisions
- Use multiple processes and diverse perspectives to explore alternative solutions
- Students demonstrate a sound understanding of technology concepts, systems, and operations.
- Select and use applications effectively and productively
- Troubleshoot systems and applications
A2.SSE.A.1 Define and use logarithms. Develop the definition of logarithms based on properties of exponents.
A2.SSE.A.2 Use the inverse relationship between exponents and logarithms to solve exponential and logarithmic equations.
A2.SSE.A.3 Use properties of logarithms to solve equations or find equivalent expressions.
A2.SSE.A.4 Understand why logarithmic scales are used, and use them to solve problems.
A2.REI.A.1 Create and solve equations and inequalities, including those that involve absolute value.
A2.IF.A.1 Identify and interpret key characteristics of functions represented graphically, with tables and with algebraic symbolism to solve problems.
A2.IF.A.2 Translate between equivalent forms of functions.
A2.BF.A.2 Derive inverses of functions, and compose the inverse with the original function to show that the functions are inverses.
A2.BF.A.3 Describe the effects of transformations algebraically and graphically.
A2.FM.A.1 Create functions and use them to solve applications of quadratic and exponential function modeling problems.
Objectives:
Students will be able to determine if a function is one-to-one
Students will be able to find the inverse of a one-to-one function.
Students will be able to evaluate an exponential function.
Students will be able to graph an exponential function.
Students will be able to find the domain and range of an exponential function.
Students will be able to solve an equation involving an exponential function.
Students will be able to solve equations with logarithms
Students will be able to manipulate logarithms using the properties of logs.
Students will be able to change the base of a logarithmic function.
Students will be able to determine if a function is one-to-one
Students will be able to find the inverse of a one-to-one function.
Students will be able to evaluate an exponential function.
Students will be able to graph an exponential function.
Students will be able to find the domain and range of an exponential function.
Students will be able to solve an equation involving an exponential function.
Students will be able to solve equations with logarithms
Students will be able to manipulate logarithms using the properties of logs.
Students will be able to change the base of a logarithmic function.
Successful Completion:
Students, working as partner teams, will create a website that shows they understand the different methods of solving a triangle. They will analyze the effectiveness of each method and determine when the methods cannot be used. If your students have not created a website prior, then they should start the web quest by creating a website.
Students, working as partner teams, will create a website that shows they understand the different methods of solving a triangle. They will analyze the effectiveness of each method and determine when the methods cannot be used. If your students have not created a website prior, then they should start the web quest by creating a website.
Differentiated Instruction:
Each task contains both video links and print links to information. Both essentially contain the same information. A student that is weak in the area of written language can watch the videos to gain the information.
Each task contains both video links and print links to information. Both essentially contain the same information. A student that is weak in the area of written language can watch the videos to gain the information.
Resources:
The list below is where I obtained most of my information.
www.khanacademy.org
www.chilimath.com
www.purplemath.com
http://tutorial.math.lamar.edu
www.mesacc.edu
www.mcckc.edu
www.weebly.com
The list below is where I obtained most of my information.
www.khanacademy.org
www.chilimath.com
www.purplemath.com
http://tutorial.math.lamar.edu
www.mesacc.edu
www.mcckc.edu
www.weebly.com