Florida B.E.S.T. MA.912.AR.7.2
The Standard
Given a table, equation or written description of a square root or cube root function, graph that function and determine its key features.
Florida B.E.S.T. Standards for Mathematics
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students turn a table, equation, or written description into a graph of a square root or cube root function. They identify domain, range, intercepts, endpoints, direction of change, and end behavior.
What Mastery Looks Like
- A student plots useful anchor points, applies shifts and reflections correctly, and sketches the correct root shape. They accurately state the domain, range, intercepts, endpoint when present, direction of change, and end behavior.
Common Misconceptions
- Students often reverse horizontal shifts, forget that square root radicands must be nonnegative, or use perfect squares for cube root tables. They may give cube root graphs an endpoint or miss how a reflection changes the range and end behavior.
How to Assess It
- Give this exit ticket: Graph y = -√(x - 4) + 2, then label its endpoint, domain, range, intercepts, and direction of change.
Lesson moves
Ways to Teach It
Tape coordinate axes on the floor, then have students stand at points from a transformed square root or cube root table.
Ask students to write how a graph reveals whether a function is square root or cube root, citing two visible features.
Run a card match with equations, tables, written descriptions, graphs, and feature lists for six radical functions.
Graph fall time using t = √(2h/9.8) for several heights, then interpret the intercept and practical domain.
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Printable MA.912.AR.7.2 Worksheet
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Related Standards
- MA.912.AR.3.7
Given a table, equation or written description of a quadratic function, graph that function, and determine and interpret its key features.
- MA.912.AR.8.2
Given a table, equation or written description of a rational function, graph that function and determine its key features.
- MA.912.AR.5.6
Given a table, equation or written description of an exponential function, graph that function and determine its key features.
- MA.912.AR.4.3
Given a table, equation or written description of an absolute value function, graph that function and determine its key features.
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