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6.1 Operations with Radicals
6.1 Operations with Radicals
- I can simplify an equation that includes radical
- I can rationalize a denominator
- I can rewrite roots in exponent form
6.2 Solving Radical Equations
6.2 Solving Radical Equations
- I can solve a radical equation with one variable
6.3 Graphing Radical Functions
6.3 Graphing Radical Functions
- I can sketch a graph of the square root of x and the cubed root of x (parent functions)
- I can identify the transformations that occur on parent functions of radicals
- I can graph radical functions while identify the key features
6.4 Inverse Functions
6.4 Inverse Functions
- I can find the inverse of a functions
- I can identify one to one functions
State Standards:
State Standards:
N.RN.A.2 Rewrite expressions involving radicals and rational exponents using the properties of exponents.
N.RN.A.1 Explain how the definition of the meaning of rational exponents follows from extending the properties of integer exponents to those values, allowing for a notation for radicals in terms of rational exponents.
A-REI.A.1 Explain each step in solving an equation as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a solution. Construct a viable argument to justify a solution method.
A.REI.A.2 Solve rational and radical equations in one variable, and identify extraneous solutions when they exist.
A.CED.A.2 Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations.
F.IF.A.1 For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship
F.IF.B.3 Graph functions expressed symbolically and show key features of the graph, by hand and using technology. ★
a. Graph square root and cube root
F.BF.B.4. Find inverse functions.
a. Find the inverse of a function when the given function is one-to-one.
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