Adaptive Perseverance: Students will persist through the challenges of graphing and applying exponential and logarithmic functions, exploring multiple methods for accurate results.
Learner’s Mindset: Students will demonstrate curiosity and openness to learning different techniques for graphing and applying exponential and logarithmic functions, seeking continuous improvement.
Communication: Students will articulate their understanding of exponential and logarithmic functions clearly, both verbally and in writing, explaining their graphs and applications.
Responsibility: Students will take responsibility for the accuracy and integrity of their graphs, solutions, and comparisons, ensuring they meet the required standards.
Global Citizenship: Students will understand the relevance of exponential and logarithmic functions in real-world applications, recognizing their importance in various fields such as finance, science, and engineering.
Critical Thinking: Students will analyze and evaluate different properties of exponential and logarithmic functions, applying logical reasoning to interpret and compare them.
Collaboration: Students will work together to graph, apply, and compare exponential and logarithmic functions, leveraging each other's strengths and perspectives for effective learning.
What are the key characteristics of exponential and logarithmic functions, and how do we graph them accurately?
How can exponential and logarithmic functions be applied in real-world situations, and what are some common examples?
In what ways are exponential and logarithmic functions similar and different, and how are they mathematically related?
Students will graph exponential and logarithmic functions accurately, identifying key features such as asymptotes, intercepts, and growth/decay rates.
Students will apply exponential and logarithmic functions to solve real-world problems, demonstrating their understanding through correct solutions and explanations.
Students will compare and contrast exponential and logarithmic functions, analyzing their similarities and differences and explaining the mathematical relationship between them.
Students are able to convert quantitative problems that use words into mathematical expressions.
CCSS.MATH.CONTENT.HSF.IF.C.7.E: Graph exponential and logarithmic functions, showing intercepts and end behavior, and solve problems involving exponential growth and decay.
CCSS.MATH.CONTENT.HSF.LE.A.4: For exponential models, express as a logarithm the solution to ab^ct=d where a, c, and d are numbers and the base b is 2, 10, or e; evaluate the logarithm using technology.
CCSS.MATH.CONTENT.HSF.LE.A.2: Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs (including reading these from a table).
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