Math Scale

Information for the Teacher

Subject:
Algebra I / Domain:
Interpreting Functions / Topic:
Square Root Graphs
Cluster Statement:
Analyze functions using different representations
Standard(s):
F.IF.7 Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.
F.IF.7b Graph square root, cube root, and piecewise-defined functions, including step functions and absolute value functions. / DOK:
2
F.BF.3 Identify the effect on the graph of replacing f(x) by f(x) + k, k f(x), f(kx), and f(x + k) for specific values of k (both positive and negative); find the value of k given the graphs. Experiment with cases and illustrate an explanation of the effects on the graph using technology. Include recognizing even and odd functions from their graphs and algebraic expressions for them. / 2
Potential Mathematical Practice Standard(s):
MP7 Look for and make use of structure.
MP8 Look for and express regularity in repeated reasoning.
Notes:
This scale connects to the same standard in Algebra 2. Please refer to that scale for vertical alignment.
Key features should include:
·  X-intercepts
·  Y-intercepts
·  Symmetry (line or rotation)
·  Maxima and or minima
·  End behavior
·  Positive and negative intervals
·  Increasing and decreasing intervals
·  Relative maximum and minimum

Mathematics

Topic: Square Root Graphs
Scale
Score
4.0 / I can graph and show key features of a cube root function.
I can use technology to graph and show key features of a cube root function.
/ I can graph and show key features of a square root function.
I can use technology to graph and show key features of a square root function.
I can explain the change in the graph when f(x) becomes
·  f(x)+k and f(x) – k
·  k f(x) and - k f(x)
·  f(x+k) and f(x-k)
I can use technology to experiment with transformations and explain the change in the graph.
Score
2.0 / I can recognize that a graph has been:
·  translated
·  shrunk and/or stretched
·  reflected
I can match a graph with its corresponding equation for a square root function.
Score
1.0 / I can define the following key features of a function:
·  Parent function
·  x-intercepts / ·  Translation
·  Transformation / ·  End Behavior
·  Domain
·  y-intercept / ·  Reflection / ·  Range
I can identify a square root function given:
·  An equation
·  A graph
Score
0.0 / I cannot yet identify an equation that represents square root.

Square Root Graphs (F.IF.7, 7b, F.BF.3) www.tbaisd.org 09.01.2015