Radicals

• Explanation

  • Notes | Annotated

  • Khan video: Intro to inverse functions (Algebra 1)

  • Khan article: Intro to inverse functions (Algebra 1)

  • Khan video: Inputs & outputs of inverse functions (Algebra 1)

• Practice Problems

  • IXL: Algebra 2: P.9 Find values of inverse functions from tables (YLX)

  • IXL: Algebra 2: P.10 Find values of inverse functions from graphs (Z5C)

  • Khan exercise: Evaluate inverse functions (honors: includes graphs) (Algebra 1)

  • Worksheet #1 

• Explanation:

  • Notes | Annotated

  • Khan video: Finding inverse functions: linear (Algebra 1)

  • Khan video: Finding inverse functions: quadratic (honors) (algebra  - all content)

  • Khan video: Finding inverse functions: quadratic (example 2) (honors) (algebra  - all content)

  • Khan video: Finding inverse functions: radical (algebra  - all content) 

  • Khan video: Finding inverses of rational functions (algebra  - all content)

  • Khan article: Finding inverse functions (algebra  - all content)

  • Khan video: Graphing the inverse of a linear function (Algebra 1) - Honors

• Practice Problems:

  • IXL: Algebra 1: Q.11 Find the inverse of a function (VME) - all linear

  • Khan exercise: Finding inverses of linear functions (Algebra 1)

• Explanation

  • Notes | Annotated

  • Khan video: Transforming the square-root function (2018 Algebra 2)

  • Khan video: Square-root functions & their graphs (2018 Algebra 2)

• Practice Problems

  • Desmos Activity (teacher use only): Polygraph: Square Root Functions

  • Worksheet #1 

• Explanation

  • Notes | Annotated

  • Khan video: Graphing square and cube root functions

  • Khan article: Radical functions & their graphs

• Practice Problems

• • • Desmos Activity (teacher use only): Transformations of Radical Functions

    • Desmos card sort: function family (group the function family name, equation, and graph)

    • Khan exercise: Graphs of square and cube root functions (the coefficient of x must be one; if not factor)

    • Worksheet #1

• Explanation

  • Notes | Annotated

  • Khan video: Determining whether values are in domain of function (Algebra 1)

  • Khan video: Examples finding the domain of functions (Algebra 1)

  • Khan video: Domain of a radical function (Algebra 2- 2018)

• Practice Problems

  • Khan exercise: Identifying values in the domain (Algebra 1)

  • Khan exercise: Determine the domain of functions (includes rational functions) (Algebra 1)

  • Worksheet #1 

Review WS#1 

Review WS#2

• Explanation:

  • Notes | Annotated

  • Khan video: Exponent properties with products (whole number exponents) (Algebra basics)

  • Khan video: Exponent properties with parentheses (whole number exponents) (Algebra basics)

  • Khan video: Exponent properties with quotients (whole number exponents) (Algebra basics)

  • Khan article: Exponent properties review (whole number exponents) (Algebra basics)

  • Khan video: Multiplying & dividing powers (integer exponents) (Algebra 1)

  • Khan video: Powers of products & quotients (integer exponents) (Algebra 1)

• Practice Problems:

  • Khan Exercise: Negative exponents

  • Khan Exercise: Multiply & divide powers (integer exponents) (Algebra 1)

  • Khan Exercise: Powers of powers (easy: whole number exponents) (Algebra basics)

  • Khan Exercise: Powers of products & quotients (integer exponents) (Algebra 1)

  • Khan Exercise: Properties of exponents challenge (integer exponents) (Algebra 1)

  • Khan Exercise: Powers of products & quotients (structured practice) (whole number exponents) (Algebra basics)

• • • Worksheet #1 

• Explanation:

  • Warm-up: Evaluate Roots WS#1

  • Notes | Annotated 

  • Khan video: Intro to cube roots (Algebra 1)

  • Khan video: 5th roots (Algebra 1)

  • Khan article: Higher order roots (Algebra 1)

  • Khan video: Intro to rational exponents

  • Khan video: Rewriting roots as rational exponents

  • Khan video: Exponential equation with rational answer (reason why rational exponents are the same as roots)

• • • Khan video: Evaluating fractional exponents

    • Khan video: Evaluating fractional exponents: negative unit-fraction

    • Khan video: Evaluating fractional exponents: fractional base

    • Khan video: Evaluating quotient of fractional exponents

• Practice Problems:

• • • Desmos Activity: Real Number Sort: ALWAYS, SOMETIMES, NEVER

    • Khan: Unit-fraction exponents

    • Khan: Fractional exponents

    • Khan: Rational exponents challenge

    • IXL: Algebra 1: EE. Convert between rational exponents and radicals

    • IXL Algebra 1: V.11 Evaluate integers raised to positive rational exponents KT5

    • IXL: Algebra 1: V.12 Evaluate integers raised to rational exponents PQH

    • Worksheet #1

• Teacher Resources:

• • • ExamView Test Bank (purchase)

• Explanation:

  • Notes | Annotated

  • Khan video: Rewriting quotient of powers (rational exponents)

  • Khan video: Rewriting mixed radical and exponential expressions

  • Khan video: Simplifying rational exponent expressions: mixed exponents and radicals (Algebra all content)

  • Khan video: Evaluating mixed radicals and exponents

• Practice Problems:

  • Khan Exercise: Properties of exponents intro (rational exponents)

  • Khan Exercise: Properties of exponents (rational exponents)

  • Khan Exercise: Evaluate radical expressions challenge

  • Worksheet #1

• Teacher Resources:

  • ExamView Test Bank (purchase)

• Explanation:

  • Notes | Annotated

  • Khan video: Simplifying square roots (Algebra 1)

  • Khan video: Simplifying square roots (variables) (Algebra 1)

  • Khan video: Simplifying cube root expressions (two variables) (Algebra all content)

  • Khan video: Simplifying higher-index roots (Algebra all content)

  • Khan video: Simplifying higher-index root expressions (Algebra all content)

• Practice Problems:

  • IXL: Algebra 1: EE.1 Simplify radical expressions (ZFF) - numeric radicands

  • IXL: Algebra 1: EE.2 Simplify radical expressions with variables (82V)

  • IXL: Algebra 2: M.5 Simplify radical expressions with variables II (QGZ) - absolute value is needed

  • Khan Exercise: Simplify square roots (Algebra 1)

  • Khan Exercise: Simplify square roots (variables) (Algebra 1)

• • • Simplify Numeric Roots WS#1

    • Worksheet #1

• Explanation:

  • Notes | Annotated

  • Khan video: Simplifying square-root expressions (Algebra 1)

  • Khan article: Simplifying square roots review (Algebra 1)

  • Khan video: Simplifying cube root expressions (Algebra all content)

  • Khan video: Simplifying higher-index root expressions (Algebra all content)

• Practice Problems:

  • Khan exercise: Simplify square-root expressions (Algebra 1)

  • Khan exercise: Evaluate radical expressions challenge

• • • Worksheet #1 | Answers

• Explanation:

  • Notes | Annotated

  • Khan video: Intro to square-root equations & extraneous solutions

  • Khan video:  Square-root equations intro

  • Khan article: Intro to solving square-root equations

  • Khan article: Solving square-root equations

  • Khan video: Solving square-root equations: one solution

  • Khan video: Solving square-root equations: two solutions 

  • Khan video: Solving square-root equations: no solution

  • Khan video: Extraneous solutions

  • Khan article: Extraneous solutions of radical equations

  • Khan video: Solving cube-root equations

• Practice Problems:

  • Khan exercise: Square-root equations intro

  • Khan exercise: Solve square-root equations 

  • Khan exercise: Extraneous solutions of equations

  • Worksheet #1 | Answers

• Teacher Resources:

• • • ExamView Test Bank (purchase)

• Practice Problems:

  • Unit 6 Radical Expressions and Equations Review WS#1 

  • Unit 6 Radical Expressions and Equations Review WS#2 

  • Unit 6 Radical Expressions and Equations Concepts Connections WS

Cumulative Review

• Worksheet #4