Adaptive Perseverance: Students will persist in understanding and applying transformations despite initial difficulties, exploring multiple methods for accurate graphing.
Learner’s Mindset: Students will demonstrate curiosity and openness to learning about functions and transformations, seeking continuous improvement.
Communication: Students will articulate their understanding of functions and transformations clearly, both verbally and in writing.
Responsibility: Students will take responsibility for the accuracy and integrity of their graphing and analysis, ensuring they meet the required standards.
Global Citizenship: Students will understand the relevance of functions and transformations in real-world applications, recognizing their importance in various fields.
Critical Thinking: Students will analyze and evaluate different transformations, applying logical reasoning to graph and interpret functions.
Collaboration: Students will work together to explore and apply transformations, leveraging each other's strengths and perspectives for effective learning.
What are the basic parent functions, and how are they used as building blocks for more complex functions?
How do different types of transformations (translations, reflections, dilations, and rotations) alter the graph of a parent function?
How can we use transformations to graph functions more efficiently and understand their behavior?
Students will identify and describe the basic parent functions, recognizing their key characteristics and graphs.
Students will apply various transformations to parent functions and accurately graph the resulting functions.
Students will analyze how transformations of parent functions can represent real-world situations and solve related problems.
Students are able to convert quantitative problems that use words into mathematical expressions.
CCSS.MATH.CONTENT.HSF.IF.C.7: Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.
CCSS.MATH.CONTENT.HSF.BF.B.3: Identify the effect on the graph of replacing
𝑓(𝑥) by f(x)+k, kf(x), f(kx), and f(x+k) for specific values of k (both positive and negative); find the value of k given the graphs.
CCSS.MATH.CONTENT.HSF.IF.C.8: Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function.
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