Critical Thinking: Students will analyze and solve complex problems using linear functions and regression, refining their understanding through evidence.
Adaptive Perseverance: Students will persist through challenging tasks, adapting their strategies as needed to understand linear concepts thoroughly.
Learner’s Mindset: Students will seek to understand the deeper connections between linear functions and real-world applications, fostering a lifelong quest for knowledge.
Communication: Students will articulate their problem-solving process and reasoning clearly in both written and oral forms, effectively conveying their understanding of linear functions.
What are the key characteristics of linear functions?
How do we graph linear equations and interpret their meaning?
What is linear regression, and how can it be used to make predictions?
Students are able to convert quantitative problems that use words into mathematical expressions.
CCSS.MATH.CONTENT.HSF.IF.B.4: For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship.
CCSS.MATH.CONTENT.HSF.IF.A.1: Understand that a function from one set (the domain) to another set (the range) assigns to each element of the domain exactly one element of the range.
CCSS.MATH.CONTENT.HSF.LE.A.1: Distinguish between situations that can be modeled with linear functions and with exponential functions.
CCSS.MATH.CONTENT.HSS.ID.B.6: Represent data on two quantitative variables on a scatter plot, and describe how the variables are related. Fit a function to the data; use functions fitted to data to solve problems in the context of the data.
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