Adaptive Perseverance: Students will explore multiple methods to represent data graphically.
Learner’s Mindset: Encourage continuous learning through graph analysis and interpretation.
Communication: Students will articulate their understanding of linear functions and graph modifications.
Responsibility: Students will take responsibility for accurate data representation and
analysis.
Global Citizenship: Discuss the importance of accurate data representation in understanding global issues.
Critical Thinking: Analyze real-world data through graph modifications for informed decision-making.
Collaboration: Work in groups to solve problems using linear graph concepts.
What impact does changing the slope have on the graph's steepness and direction?
How does the y-intercept affect the graph's positioning?
How can we apply the equation y=mx+b in solving real-world problems?
Students will be able to graph linear functions accurately.
Students will understand how changes in slope and y-intercept affect their graphs.
Students will use their knowledge of graphs to solve real-world problems.
CCSS.MATH.CONTENT.8.F.A.3: Interpret the equation y = mx + b as defining a linear function, whose graph is a straight line; give examples of functions that are not linear.
CCSS.MATH.CONTENT.HSF.IF.A.1: Understand that a function from one set (the input, or independent variable) to another set (the output, or dependent variable) assigns to each element of the input exactly one element of the output.
CCSS.MATH.CONTENT.HSF.IF.C.7.A: Graph linear and quadratic functions and show intercepts, maxima, and minima.
CCSS.MATH.CONTENT.HSF.LE.A.1: Distinguish between situations that can be modeled with linear functions and with exponential functions.
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.
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