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Math
Kentucky Math
Conceptual Category Number and Quantity: Number and Quantity—The Real Number System
Cluster: Extend the properties of exponents to rational exponents.
HS.N.1
Fully covered
HS.N.2
Mostly covered
- Equivalent forms of exponential expressions
- Equivalent forms of exponential expressions
- Evaluate radical expressions challenge
- Evaluating fractional exponents
- Evaluating fractional exponents: fractional base
- Evaluating fractional exponents: negative unit-fraction
- Evaluating mixed radicals and exponents
- Evaluating quotient of fractional exponents
- Exponential equation with rational answer
- Fractional exponents
- Intro to rational exponents
- Properties of exponents (rational exponents)
- Properties of exponents intro (rational exponents)
- Rational exponents challenge
- Rewrite exponential expressions
- Rewriting exponential expressions as A⋅Bᵗ
- Rewriting mixed radical and exponential expressions
- Rewriting quotient of powers (rational exponents)
- Rewriting roots as rational exponents
- Simplify square roots
- Simplify square roots (variables)
- Simplify square-root expressions
- Simplifying square roots
- Simplifying square roots (variables)
- Simplifying square roots review
- Simplifying square-root expressions
- Solve exponential equations using exponent properties
- Solve exponential equations using exponent properties (advanced)
- Solving exponential equations using exponent properties
- Solving exponential equations using exponent properties (advanced)
- Unit-fraction exponents
Cluster: Use properties of rational and irrational numbers.
HS.N.3(+)
Fully covered
- Proof: √2 is irrational
- Proof: product of rational & irrational is irrational
- Proof: square roots of prime numbers are irrational
- Proof: sum & product of two rationals is rational
- Proof: sum of rational & irrational is irrational
- Proof: there's an irrational number between any two rational numbers
- Rational vs. irrational expressions
- Sums and products of irrational numbers
- Worked example: rational vs. irrational expressions
- Worked example: rational vs. irrational expressions (unknowns)