GUIDED NOTES for POWER STANDARDS Related to FUNCTIONS

A STANDARDS BASED approach to conceptual learning. Interactive and engaging set of scaffolded guided notes for concepts unpacked from the CCSS covered in 9th, 10th, and 11th grade math related to functions. Many active links included that bring your lessons to life!

KEY FEATURES OF FUNCTIONS (F.IF.4)

✔ Identifying Key Features:

• Vertex, y-intercept, roots, axis of symmetry, domain, range, and intervals of increase/decrease.

✔ Graphing Quadratic Functions:

• Sketch graphs based on verbal descriptions or given equations while identifying its features.

TRANSFORMATIONS OF FUNCTIONS (F.BF.3)

✔ Identifying Transformations on Graphs:

• Determine the transformation caused by k in various formats: f(x−k), or f(x)+k + kf(x)
• Analyze transformations by identifying if k is positive or negative, finding its value, and justifying reasoning.

✔ Graphing Transformations with Visual Representation:

• Use colored pencils to graph transformations a function

✔ Classifying Functions as Even, Odd, or Neither:

• Analyze given functions and determine their classification based on symmetry.

DIFFERENT FORMS OF EQUATIONS (F.IF.8a)

✔ Factoring Functions to Show Zeros:

• Solve quadratic equations to find zeros by factoring or other methods.

✔ Completing the Square:

• Rewrite equations in vertex form to identify extreme values and symmetry.

✔ Interpreting Zeros, Extreme Values, and Symmetry:

• Match equations to graphs based on their forms and transformations.
• Analyze features such as the vertex, axis of symmetry, and intercepts.

✔ Connecting Forms of Quadratic Equations:

• Transform standard form equations into factored and vertex forms.
• Sketch graphs of parabolas and identify key features, such as zeros, intercepts, and vertices.

✔ Choosing the Best Form for Specific Features:

• Identify the advantages of each equation form for locating:
  • Axis of symmetry.
  • Y-intercept.
  • X-intercepts.
  • Vertex