Florida B.E.S.T. MA.912.AR.7

MA.912.AR.7 is a B.E.S.T. standard. These are the benchmarks under it.

• MA.912.AR.7.1

  Solve one-variable radical equations. Interpret solutions as viable in terms of context and identify any extraneous solutions.

• MA.912.AR.7.2

  Given a table, equation or written description of a square root or cube root function, graph that function and determine its key features.

• MA.912.AR.7.3

  Solve and graph mathematical and real-world problems that are modeled with square root or cube root functions. Interpret key features and determine constraints ...

• MA.912.AR.7.4

  Solve and graph mathematical and real-world problems that are modeled with radical functions. Interpret key features and determine constraints in terms of the c...

01

What Students Need to Do

Students isolate a radical, raise both sides to the needed power, and check answers in the original equation. They find domain restrictions and graph radical relationships using key points and transformations.

02

What Mastery Looks Like

Students solve radical equations and reject extraneous answers by substitution. They sketch accurate graphs, mark endpoints or key points, and state the domain and range.

03

Common Misconceptions

Students may keep every answer produced after squaring, even when it fails in the original equation. They may ignore restrictions on even-index radicands or reverse horizontal and vertical shifts when graphing.

04

How to Assess It

Exit ticket: Solve √(2x+3)=x, check each candidate, then sketch y=√(2x+3) and label its endpoint and domain.

1. 01

   Have students place transformation cards beside printed graphs of y=√x, then verify each match with three plotted points.

2. 02

   Ask students to explain in writing why x=-1 fails as a solution to √(2x+3)=x.

3. 03

   Run a card-matching game using radical equations, solution sets, graphs, domains, and ranges.

4. 04

   Use T=2π√(L/9.8) to graph pendulum period against length and find the length for a given period.

• MA.912.AR.8

  Solve and graph rational equations and functions in one and two variables.

• MA.912.AR.6

  Solve and graph polynomial equations and functions in one and two variables.