Lesson 5: Graphing Polynomial Functions
Duration of Days: 3
Lesson Objective
Students will graph polynomial functions and identify their key features.
• What do polynomial graphs look like?
• How does the degree affect the shape?
• What are x-intercepts and y-intercepts?
• How do we find key features from a graph?
Graph, degree, x-intercept, y-intercept, end behavior, shape
CCSS.MATH.9.F.IF.B.4, CCSS.MATH.9.F.IF.C.7
Description: Students create input/output tables for polynomial functions and graph them. They observe how the degree affects the shape (linear = straight line, quadratic = parabola, cubic = S-shape, etc.). They identify intercepts and end behavior. Purpose: To connect polynomial equations to their visual representations and develop understanding of how degree affects shape. DOK Level: 2-3 (Application)
• Start with familiar functions: Linear and quadratic before cubic
• For struggling learners: Provide input/output tables; focus on plotting and identifying intercepts
• For advanced learners: Explore end behavior and how coefficients affect the graph
• Graphing technology: Use Desmos or similar tools for visualization
• Polynomial function cards (linear, quadratic, cubic)
• Input/output table templates
• Coordinate plane worksheets
• Graphing technology (Desmos)
• Resource: Desmos "Graphing Polynomials"