Polynomial Expressions and Equations

• Explanation:

  • Khan video: What is a function? (optional)

  • Khan video: Equations vs. functions: Obtaining a function from an equation

  • Khan video: Worked example: Evaluating functions from equation

  • Khan video: Worked example: matching an input to a function's output (equation)

  • Khan video: Worked example: evaluating functions from graph

  • Khan video: Worked example: matching an input to a function's output (graph)

  • Khan video: Function notation word problem: bank (honors)

  • Khan video: Function notation word problem: beach (honors)

• Practice problems

  • Desmos activity: Carnival Functions, Part 2 (teacher use)

  • Khan exercise: Evaluate functions

  • Khan exercise: Function inputs & outputs: equation

  • Khan exercise: Evaluate functions from their graph

  • Khan exercise: Function inputs & outputs: graph

  • Khan exercise: Function notation word problems (honors)

Explanation:

• Notes | Annotated

• Khan video: Polynomials intro (10:47)

• Khan video: The parts of polynomial expressions (2:35)

Practice Problems:

• Khan exercise: Polynomials intro

• IXL: Algebra 2 L.1 Polynomial vocabulary

• Quizlet Flashcards

• Worksheet #1

• Explanation:

  • Notes | Annotated 

  • Khan video: Adding polynomials

  • Khan video: Subtracting polynomials

  • Khan video: Polynomial subtraction

  • Khan article: Adding and subtracting polynomials review

• Practice Problems

  • Khan exercise: Add polynomials (intro)

  • Khan exercise: Subtract polynomials (intro)

  • Khan exercise: Add & subtract polynomials

  • IXL: Algebra 2 L.2 Add and subtract polynomials

  • Worksheet #1

• Explanation:

  • Notes| Annotated | Video: SafeShareTV | YouTube

  • Khan video: Multiplying monomials

  • Khan video: Multiplying monomials by polynomials

  • Khan article: Multiplying monomials by polynomials review

  • Khan video: Multiplying binomials by polynomials

  • Khan article: Multiplying binomials by polynomials review

  • Khan video: Polynomial special products: difference of squares

  • Khan video: Polynomial special products: perfect square

• Practice Problems

  • Khan exercise: Multiplying monomials

  • Khan exercise: Multiply monomials by polynomials

  • Khan exercise:  Multiplying binomials

  • Khan exercise: Multiply binomials by polynomials

  • Khan exercise: Polynomial special products: difference of squares

  • Khan exercise: Polynomial special products: perfect square

  • IXL: Algebra 2 L.3 Multiply polynomials

  • Worksheet #1 | Answers

Explanation:

• Notes| Annotated

• Khan video: Factoring with the distributive property (3:27)

• Khan video: Taking common factor from binomial

• Khan video: Taking common factor from trinomial

• Khan video: Factoring polynomials: common factor area model

• Khan Article: Factoring polynomials by taking a common factor

Practice Problems:

• IXL Algebra 2 J.1: Factor out a monomial

• Khan Exercise: GCF factoring introduction (includes area model)

• Khan exercise: Factor polynomials: common factor (uses some rectangle area modeling)

• Worksheet #1

Teacher Resource:

• Factor expressions using GCF: ExamView Test Bank (purchase)

• Solve equations by factoring with the GCF: ExamView Test Bank (purchase)

Explanation

• Notes| Annotated | Video: SafeShareTV | YouTube

• Khan video: Difference of squares intro (4:53)

• Khan article: Factoring quadratics: Difference of squares

• Khan video: Factoring difference of squares: leading coefficient ≠ 1 (2:22)

• Khan video: Factoring using the difference of squares pattern (1:48)

Practice Problems:

• Quizlet: Perfect Squares

• Khan Exercise: Difference of squares intro

• Khan Exercise: Factor differences of squares

• Worksheet #1

Teacher Resource:

• Factor expression using difference of squares: ExamView Test Bank (purchase)

• Solve equations by factoring difference of squares: ExamView Test Bank (purchase)

Explanation:

• Notes| Annotated

• Khan video: Factoring difference of cubes (4:12)

• Khan video: Factoring sum of cubes (4:46)

Practice Problems:

• Worksheet #1

• IXL: Algebra 2 J.6 Sums and Differences of Cubes

Teacher Resource:

• ExamView Test Bank (purchase)

Explanation

• Notes | Annotated | video: SafeShareTV | Youtube

• Khan article: Factoring by grouping

• Khan video: Factoring higher degree polynomials (start at 2:11) 

Practice Problems

• Worksheet #1

• IXL: Algebra 2 J.5: Factor by grouping

Teacher Resource:

• ExamView Test Bank (purchase)

Explanation

• • Notes | Annotated | video: SafeShareTV | Youtube

  • Khan video: Factoring quadratics as (x+a)(x+b) (6:33)

  • Khan article: Factoring quadratics: leading coefficient = 1 

  • Khan video: Factoring quadratics as (x+a)(x+b) (example 2) (4:19)

  • Khan video: More examples of factoring quadratics as (x+a)(x+b) (16:29)

  • Khan video: Factoring completely with a common factor (3:59)

  • Khan article: Factoring simple quadratics review

Practice Problems:

• • Khan exercise: Warmup: factoring quadratics intro

  • Khan exercise: Factoring quadratics intro

  • Khan exercise: Factoring quadratics with a common factor

  • IXL: Algebra 2 J.3: Factor quadratics (A = 1 with GCF score of 70)  (over score of 78 a >1 and not factor)

  • IXL: Algebra 2 J.4:  Factor using a quadratic pattern  - score of 28 (after includes factors of difference of squares)

• Worksheet #1

Teacher Resource:

• • Factor: ExamView Test Bank (purchase)

  • Solve trinomials (A = 1) by factoring: ExamView Test Bank (purchase)

Explanation:

• • Notes | Annotated | Video: SafeShareTV | YouTube

• • Khan video: Intro to grouping (13:56)

• Khan article: Factoring by grouping

• Khan video: Factoring quadratics by grouping (3:54)

  • Khan article: Factoring quadratics: leading coefficient ≠ 1

  • Khan video: Factoring quadratics: common factor + grouping (4:45)

  • Khan video: Factoring quadratics: negative common factor + grouping (5:16)

Practice Problems:

• Khan exercise: Factor quadratics by grouping

  • Khan exercise: Factor polynomials: quadratic methods (Honors: includes higher order polynomials and multiple variables | Algebra - all content)

• Worksheet #1

Teacher Resource:

• • ExamView Test Bank (purchase)

Explanation: 

• Summary Notes | Notes 

• Khan video: Strategy in factoring quadratics (part 1 of 2) (7:11)

• Khan video: Strategy in factoring quadratics (part 2 of 2) (8:40)

• Khan article: Factoring quadratics in any form

• Khan video: Introduction to factoring higher degree polynomials (5:52)

Practice Problems:

• Khan exercise: Factor higher degree polynomials

• Khan exercise: Factor polynomials using structure (honors: some have multiple variables)

• IXL: Algebra 2:  J.7 Factor polynomials - includes cubes

• Worksheet #1

Explanation

• Khan video: Polynomial identities introduction (4:55)

• Khan video: Analyzing polynomial identities (7:38)

Practice Problems:

• Khan Exercise: Prove polynomial identities

Explanation

• Khan video: Intro to the Binomial Theorem

• Khan video: Pascal's triangle and binomial expansion

• Khan video: Expanding binomials

• Khan video: Expanding binomials w/o Pascal's triangle

• Khan video: Binomial expansion & combinatorics

• Khan video: Pascal's triangle & combinatorics

Practice Problems:

• Khan Exercise: Expand binomials

Summary Notes

Review worksheet #1 

Review worksheet #2