Access Point #: MAFS.912.A-SSE.2.AP.3d (Archived Access Point)

Essential Understandings

Concrete:

• Use a tool to determine whether the quadratic function crosses the x-axis. Click Here
• Use a graphing tool or graphing software to find the roots (where the function intersects the x-axis) of a function.
• Use manipulatives (i.e. algebra tiles) to simplify or to write equivalent forms of quadratic functions.
• Use algebra tiles or manipulatives to complete the square.
  Youtube: Click Here
• Use the graph of the quadratic equation to identify the vertex of the function.
• Identify the maximum or minimum of the graph of the quadratic equation.
  
  

Representation:

• Understand the following concepts and vocabulary: root, factor, quadratic, integer, real number, quadratic equation, quadratic formula, square root, solution, terms, coefficient, intercept, intersect, zero, completing the square, vertex form, maximum, minimum, vertex, trinomial.
• Use steps or a template to complete the square.
  
  
• Understand quadratic equations can be rewritten in vertex form .
• Understand that the vertex of a quadratic function is represented by (h, k). The vertex of a quadratic function is the maximum/minimum coordinate of the function. If the function opens up it is a minimum, if the function opens down it is a maximum.
  
  For example: y=3(x+2)²-4 (Vertex form)
  Vertex (h, k) = (-2, 4)
  The vertex will be moved 2 units to the left and 4 units up from (0,0), the vertex of the parent function .
  
  
• Teacher tool: Click Here
• MathBitsNotebook: Click Here