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Henrico County Public Schools, Virginia
Algebra and Functions

Data Analysis

SOL Review Materials
The student will use knowledge of transformations to write an equation, given the graph of a function (linear, quadratic, exponential, and logarithmic).
Essential Knowledge and Skills 
  • Write an equation of a line when given the graph of a line.
  • Recognize graphs of parent functions for linear, quadratic, exponential and logarithmic functions.
  • Write the equation of a linear, quadratic, exponential, or logarithmic function in (h, k) form given the graph of the parent function and transformation information.
  • Describe the transformation from the parent function given the equation written in (h, k) form or the graph of the function.
  • Given the equation of a function, recognize the parent function and transformation to graph the given function.
  • Recognize the vertex of a parabola given a quadratic equation in (h, k) form or graphed.
  • Describe the parent function represented by a scatterplot.
Essential Understandings
  • Knowledge of transformational graphing using parent functions can be used to generate a mathematical model from a scatterplot that approximates the data.
  • Transformations include:
    • Translations (horizontal and vertical shifting of a graph)
    • Reflections
    • Dilations (stretching and compressing graphs) and
    • Rotations
  • The equation of a line can be determined by two points on the line or by the slope and a point on the line.
Vertical Articulation
  1. SOL 7.15 - a) solve one‐step inequalities; b) graph solutions on number line.
  2. SOL 8.15 - b)solve two‐step linear inequalities and graph results on number line.
  3. SOL A.6 - graph linear equations/linear inequalities (2 vars) ‐ a) determine slope of a line given the equation of a line/graph of a line or two points on line ‐ slope as rate of change; b) write equation of a line given graph of line/two points on line or slope and point on line.
  4. AII.6 - recognize general shape of function (abs val/sq root/cube root/rational/poly/exp/log) families, convert between graphic and symbolic forms of functions ‐ transformational approach to graphing.
Instructional Materials
Frederick County Resources
Real World Lessons
Practice
Skills
Videos
Explore Learning
Websites
Common Core Standards