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Scope and sequence · Math

Algebra II

Functions, equations and the language of change, learned by understanding why

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What to cover

59 of 67 lessons are MUST COVER. They are tested on the unit tests and exams, or are skills the SAT/ACT relies on. OPTIONAL lessons are enrichment. Do them if time allows. The course is complete when the MUST COVER lessons are done.

Unit 1: Functions and Their Graphs

  • MUST COVER 1.1 Functions and Function Notation: A Review · SAT/ACT
  • MUST COVER 1.2 Parent Functions and Transformations · exam, SAT/ACT
  • MUST COVER 1.3 Piecewise and Absolute Value Functions · exam, SAT/ACT
  • MUST COVER 1.4 Combining and Composing Functions · exam, SAT/ACT
  • MUST COVER 1.5 Inverse Functions · exam, SAT/ACT
  • MUST COVER 1.6 Rates of Change and Function Behavior · exam, SAT/ACT

Unit 2: Linear Systems and Linear Programming

  • MUST COVER 2.1 Systems of Two Linear Equations: A Review · SAT/ACT
  • MUST COVER 2.2 Systems of Linear Inequalities · exam, SAT/ACT
  • MUST COVER 2.3 Linear Programming · exam, SAT/ACT
  • MUST COVER 2.4 Systems of Three Equations in Three Variables · exam, SAT/ACT

Unit 3: Quadratic Functions and Complex Numbers

  • MUST COVER 3.1 Quadratic Functions and Their Three Forms · exam, SAT/ACT
  • MUST COVER 3.2 Solving Quadratic Equations: A Review · SAT/ACT
  • MUST COVER 3.3 Complex Numbers · exam
  • MUST COVER 3.4 Complex Solutions and the Discriminant · exam
  • MUST COVER 3.5 Quadratic Inequalities · exam, SAT/ACT
  • MUST COVER 3.6 Quadratic Models · exam, SAT/ACT

Unit 4: Polynomial Functions

  • MUST COVER 4.1 Polynomial Functions and End Behavior · SAT/ACT
  • MUST COVER 4.2 Operations with Polynomials · SAT/ACT
  • MUST COVER 4.3 Polynomial Long Division · exam, SAT/ACT
  • MUST COVER 4.4 Synthetic Division and the Remainder Theorem · exam
  • MUST COVER 4.5 The Factor Theorem and Factoring Polynomials · exam, SAT/ACT
  • MUST COVER 4.6 Finding Zeros of Polynomials · exam, SAT/ACT
  • MUST COVER 4.7 Graphing Polynomial Functions · exam, SAT/ACT

Unit 5: Rational Expressions and Functions

  • MUST COVER 5.1 Rational Expressions: Simplifying, Multiplying and Dividing · SAT/ACT
  • MUST COVER 5.2 Adding and Subtracting Rational Expressions · exam, SAT/ACT
  • MUST COVER 5.3 Rational Functions and Asymptotes · exam, SAT/ACT
  • MUST COVER 5.4 Graphing Rational Functions · exam, SAT/ACT
  • MUST COVER 5.5 Solving Rational Equations · exam, SAT/ACT
  • MUST COVER 5.6 Variation and Rational Models · exam, SAT/ACT

Unit 6: Radicals and Rational Exponents

  • MUST COVER 6.1 nth Roots and Rational Exponents · exam, SAT/ACT
  • MUST COVER 6.2 Properties of Rational Exponents and Radicals · exam, SAT/ACT
  • MUST COVER 6.3 Operations with Radical Expressions · exam, SAT/ACT
  • MUST COVER 6.4 Radical Functions and Their Graphs · exam, SAT/ACT
  • MUST COVER 6.5 Solving Radical Equations · exam, SAT/ACT

Unit 7: Exponential Functions

  • MUST COVER 7.1 Exponential Functions and Their Graphs · SAT/ACT
  • MUST COVER 7.2 Compound Interest and the Number e · exam
  • MUST COVER 7.3 Exponential Models · exam, SAT/ACT
  • MUST COVER 7.4 Logistic Functions · exam, SAT/ACT

Unit 8: Logarithmic Functions

  • MUST COVER 8.1 Logarithms · exam
  • MUST COVER 8.2 Graphs of Logarithmic Functions · SAT/ACT
  • OPTIONAL 8.3 Properties of Logarithms
  • MUST COVER 8.4 Solving Exponential Equations · exam, SAT/ACT
  • MUST COVER 8.5 Solving Logarithmic Equations · exam, SAT/ACT
  • MUST COVER 8.6 Logarithmic Scales and Models · exam

Unit 9: Sequences and Series

  • OPTIONAL 9.1 Sequences and Summation Notation
  • MUST COVER 9.2 Arithmetic Sequences and Series · exam
  • OPTIONAL 9.3 Geometric Sequences and Series
  • MUST COVER 9.4 Infinite Geometric Series · exam
  • MUST COVER 9.5 Savings, Loans and Geometric Series · exam
  • OPTIONAL 9.6 Mathematical Induction

Unit 10: Counting, Probability and the Binomial Theorem

  • OPTIONAL 10.1 The Counting Principle and Permutations
  • MUST COVER 10.2 Combinations · exam
  • MUST COVER 10.3 Pascal's Triangle and the Binomial Theorem · exam, SAT/ACT
  • MUST COVER 10.4 Probability with Counting · exam, SAT/ACT

Unit 11: Conic Sections

  • MUST COVER 11.1 Parabolas: Focus and Directrix · exam
  • MUST COVER 11.2 Circles and Ellipses · SAT/ACT
  • OPTIONAL 11.3 Hyperbolas
  • MUST COVER 11.4 Recognizing and Graphing Conic Sections · exam
  • MUST COVER 11.5 Nonlinear Systems · exam, SAT/ACT

Unit 12: Matrices and Vectors

  • MUST COVER 12.1 Matrices and Matrix Operations · SAT/ACT
  • MUST COVER 12.2 Matrix Multiplication · exam
  • OPTIONAL 12.3 Determinants and Inverse Matrices
  • MUST COVER 12.4 Solving Systems with Matrices · exam, SAT/ACT
  • OPTIONAL 12.5 Vectors and the Dot Product
  • MUST COVER 12.6 Matrices as Transformations · exam

Unit 13: A Bridge to Trigonometry

  • MUST COVER 13.1 Right-Triangle Trigonometry: A Review · exam, SAT/ACT
  • MUST COVER 13.2 Angles, Radians and the Unit Circle: A First Look · SAT/ACT

36-week pacing calendar

From the course’s own 32-week pacing guide, with catch-up and review weeks added to fill a 36-week (180-day) year.

WeekPlanDoneNotes
Wk 1Day 1: Lesson 1.1 Functions and Function Notation: A Review
Day 2: Lesson 1.2 Parent Functions and Transformations (day 1 of 2)
Day 3: Lesson 1.2 Parent Functions and Transformations (day 2 of 2)
Day 4: Lesson 1.3 Piecewise and Absolute Value Functions (day 1 of 2)
Day 5: Lesson 1.3 Piecewise and Absolute Value Functions (day 2 of 2)
Wk 2Day 1: Lesson 1.4 Combining and Composing Functions (day 1 of 2)
Day 2: Lesson 1.4 Combining and Composing Functions (day 2 of 2)
Day 3: Lesson 1.5 Inverse Functions (day 1 of 2)
Day 4: Lesson 1.5 Inverse Functions (day 2 of 2)
Day 5: Lesson 1.6 Rates of Change and Function Behavior (day 1 of 2)
Wk 3Day 1: Lesson 1.6 Rates of Change and Function Behavior (day 2 of 2)
Day 2: Unit 1 review (mastery checklist and missed problems)
Day 3: Unit 1 test
Day 4: Lesson 2.1 Systems of Two Linear Equations: A Review
Day 5: Lesson 2.2 Systems of Linear Inequalities (day 1 of 2)
Wk 4Day 1: Lesson 2.2 Systems of Linear Inequalities (day 2 of 2)
Day 2: Lesson 2.3 Linear Programming (day 1 of 2)
Day 3: Lesson 2.3 Linear Programming (day 2 of 2)
Day 4: Lesson 2.4 Systems of Three Equations in Three Variables (day 1 of 2)
Day 5: Lesson 2.4 Systems of Three Equations in Three Variables (day 2 of 2)
Wk 5Day 1: Unit 2 review (mastery checklist and missed problems)
Day 2: Unit 2 test
Day 3: Lesson 3.1 Quadratic Functions and Their Three Forms
Day 4: Lesson 3.2 Solving Quadratic Equations: A Review
Day 5: Lesson 3.3 Complex Numbers (day 1 of 2)
Wk 6Day 1: Lesson 3.3 Complex Numbers (day 2 of 2)
Day 2: Lesson 3.4 Complex Solutions and the Discriminant (day 1 of 2)
Day 3: Lesson 3.4 Complex Solutions and the Discriminant (day 2 of 2)
Day 4: Lesson 3.5 Quadratic Inequalities (day 1 of 2)
Day 5: Lesson 3.5 Quadratic Inequalities (day 2 of 2)
Wk 7Day 1: Lesson 3.6 Quadratic Models (day 1 of 2)
Day 2: Lesson 3.6 Quadratic Models (day 2 of 2)
Day 3: Unit 3 review (mastery checklist and missed problems)
Day 4: Unit 3 test
Day 5: Lesson 4.1 Polynomial Functions and End Behavior (day 1 of 2)
Wk 8Day 1: Lesson 4.1 Polynomial Functions and End Behavior (day 2 of 2)
Day 2: Lesson 4.2 Operations with Polynomials (day 1 of 2)
Day 3: Lesson 4.2 Operations with Polynomials (day 2 of 2)
Day 4: Lesson 4.3 Polynomial Long Division (day 1 of 2)
Day 5: Lesson 4.3 Polynomial Long Division (day 2 of 2)
Wk 9Day 1: Lesson 4.4 Synthetic Division and the Remainder Theorem (day 1 of 2)
Day 2: Lesson 4.4 Synthetic Division and the Remainder Theorem (day 2 of 2)
Day 3: Lesson 4.5 The Factor Theorem and Factoring Polynomials (day 1 of 2)
Day 4: Lesson 4.5 The Factor Theorem and Factoring Polynomials (day 2 of 2)
Day 5: Lesson 4.6 Finding Zeros of Polynomials (day 1 of 2)
Wk 10Day 1: Lesson 4.6 Finding Zeros of Polynomials (day 2 of 2)
Day 2: Lesson 4.7 Graphing Polynomial Functions (day 1 of 2)
Day 3: Lesson 4.7 Graphing Polynomial Functions (day 2 of 2)
Day 4: Unit 4 review (mastery checklist and missed problems)
Day 5: Unit 4 test
Wk 11Day 1: Lesson 5.1 Rational Expressions: Simplifying, Multiplying and Dividing
Day 2: Lesson 5.2 Adding and Subtracting Rational Expressions (day 1 of 2)
Day 3: Lesson 5.2 Adding and Subtracting Rational Expressions (day 2 of 2)
Day 4: Lesson 5.3 Rational Functions and Asymptotes (day 1 of 2)
Day 5: Lesson 5.3 Rational Functions and Asymptotes (day 2 of 2)
Wk 12Day 1: Lesson 5.4 Graphing Rational Functions (day 1 of 2)
Day 2: Lesson 5.4 Graphing Rational Functions (day 2 of 2)
Day 3: Lesson 5.5 Solving Rational Equations (day 1 of 2)
Day 4: Lesson 5.5 Solving Rational Equations (day 2 of 2)
Day 5: Lesson 5.6 Variation and Rational Models (day 1 of 2)
Wk 13Day 1: Lesson 5.6 Variation and Rational Models (day 2 of 2)
Day 2: Unit 5 review (mastery checklist and missed problems)
Day 3: Unit 5 test
Day 4: Lesson 6.1 nth Roots and Rational Exponents (day 1 of 2)
Day 5: Lesson 6.1 nth Roots and Rational Exponents (day 2 of 2)
Wk 14Day 1: Lesson 6.2 Properties of Rational Exponents and Radicals (day 1 of 2)
Day 2: Lesson 6.2 Properties of Rational Exponents and Radicals (day 2 of 2)
Day 3: Lesson 6.3 Operations with Radical Expressions (day 1 of 2)
Day 4: Lesson 6.3 Operations with Radical Expressions (day 2 of 2)
Day 5: Lesson 6.4 Radical Functions and Their Graphs (day 1 of 2)
Wk 15Day 1: Lesson 6.4 Radical Functions and Their Graphs (day 2 of 2)
Day 2: Lesson 6.5 Solving Radical Equations (day 1 of 2)
Day 3: Lesson 6.5 Solving Radical Equations (day 2 of 2)
Day 4: Unit 6 review (mastery checklist and missed problems)
Day 5: Unit 6 test
Wk 16Day 1: Midterm review (Units 1–6)
Day 2: Midterm exam (Units 1–6)
Day 3: Lesson 7.1 Exponential Functions and Their Graphs (day 1 of 2)
Day 4: Lesson 7.1 Exponential Functions and Their Graphs (day 2 of 2)
Day 5: Lesson 7.2 Compound Interest and the Number e (day 1 of 2)
Wk 17Catch-up and review week (no new lessons)
Wk 18Day 1: Lesson 7.2 Compound Interest and the Number e (day 2 of 2)
Day 2: Lesson 7.3 Exponential Models (day 1 of 2)
Day 3: Lesson 7.3 Exponential Models (day 2 of 2)
Day 4: Lesson 7.4 Logistic Functions (day 1 of 2)
Day 5: Lesson 7.4 Logistic Functions (day 2 of 2)
Wk 19Day 1: Unit 7 review (mastery checklist and missed problems)
Day 2: Unit 7 test
Day 3: Lesson 8.1 Logarithms (day 1 of 2)
Day 4: Lesson 8.1 Logarithms (day 2 of 2)
Day 5: Lesson 8.2 Graphs of Logarithmic Functions (day 1 of 2)
Wk 20Day 1: Lesson 8.2 Graphs of Logarithmic Functions (day 2 of 2)
Day 2: Lesson 8.3 Properties of Logarithms (day 1 of 2)
Day 3: Lesson 8.3 Properties of Logarithms (day 2 of 2)
Day 4: Lesson 8.4 Solving Exponential Equations (day 1 of 2)
Day 5: Lesson 8.4 Solving Exponential Equations (day 2 of 2)
Wk 21Day 1: Lesson 8.5 Solving Logarithmic Equations (day 1 of 2)
Day 2: Lesson 8.5 Solving Logarithmic Equations (day 2 of 2)
Day 3: Lesson 8.6 Logarithmic Scales and Models (day 1 of 2)
Day 4: Lesson 8.6 Logarithmic Scales and Models (day 2 of 2)
Day 5: Unit 8 review (mastery checklist and missed problems)
Wk 22Day 1: Unit 8 test
Day 2: Lesson 9.1 Sequences and Summation Notation (day 1 of 2)
Day 3: Lesson 9.1 Sequences and Summation Notation (day 2 of 2)
Day 4: Lesson 9.2 Arithmetic Sequences and Series (day 1 of 2)
Day 5: Lesson 9.2 Arithmetic Sequences and Series (day 2 of 2)
Wk 23Day 1: Lesson 9.3 Geometric Sequences and Series (day 1 of 2)
Day 2: Lesson 9.3 Geometric Sequences and Series (day 2 of 2)
Day 3: Lesson 9.4 Infinite Geometric Series (day 1 of 2)
Day 4: Lesson 9.4 Infinite Geometric Series (day 2 of 2)
Day 5: Lesson 9.5 Savings, Loans and Geometric Series (day 1 of 2)
Wk 24Day 1: Lesson 9.5 Savings, Loans and Geometric Series (day 2 of 2)
Day 2: Lesson 9.6 Mathematical Induction (day 1 of 2)
Day 3: Lesson 9.6 Mathematical Induction (day 2 of 2)
Day 4: Unit 9 review (mastery checklist and missed problems)
Day 5: Unit 9 test
Wk 25Day 1: Lesson 10.1 The Counting Principle and Permutations (day 1 of 2)
Day 2: Lesson 10.1 The Counting Principle and Permutations (day 2 of 2)
Day 3: Lesson 10.2 Combinations (day 1 of 2)
Day 4: Lesson 10.2 Combinations (day 2 of 2)
Day 5: Lesson 10.3 Pascal's Triangle and the Binomial Theorem (day 1 of 2)
Wk 26Day 1: Lesson 10.3 Pascal's Triangle and the Binomial Theorem (day 2 of 2)
Day 2: Lesson 10.4 Probability with Counting (day 1 of 2)
Day 3: Lesson 10.4 Probability with Counting (day 2 of 2)
Day 4: Unit 10 review (mastery checklist and missed problems)
Day 5: Unit 10 test
Wk 27Day 1: Lesson 11.1 Parabolas: Focus and Directrix (day 1 of 2)
Day 2: Lesson 11.1 Parabolas: Focus and Directrix (day 2 of 2)
Day 3: Lesson 11.2 Circles and Ellipses (day 1 of 2)
Day 4: Lesson 11.2 Circles and Ellipses (day 2 of 2)
Day 5: Lesson 11.3 Hyperbolas (day 1 of 2)
Wk 28Day 1: Lesson 11.3 Hyperbolas (day 2 of 2)
Day 2: Lesson 11.4 Recognizing and Graphing Conic Sections (day 1 of 2)
Day 3: Lesson 11.4 Recognizing and Graphing Conic Sections (day 2 of 2)
Day 4: Lesson 11.5 Nonlinear Systems (day 1 of 2)
Day 5: Lesson 11.5 Nonlinear Systems (day 2 of 2)
Wk 29Day 1: Unit 11 review (mastery checklist and missed problems)
Day 2: Unit 11 test
Day 3: Lesson 12.1 Matrices and Matrix Operations (day 1 of 2)
Day 4: Lesson 12.1 Matrices and Matrix Operations (day 2 of 2)
Day 5: Lesson 12.2 Matrix Multiplication (day 1 of 2)
Wk 30Day 1: Lesson 12.2 Matrix Multiplication (day 2 of 2)
Day 2: Lesson 12.3 Determinants and Inverse Matrices (day 1 of 2)
Day 3: Lesson 12.3 Determinants and Inverse Matrices (day 2 of 2)
Day 4: Lesson 12.4 Solving Systems with Matrices (day 1 of 2)
Day 5: Lesson 12.4 Solving Systems with Matrices (day 2 of 2)
Wk 31Day 1: Lesson 12.5 Vectors and the Dot Product (day 1 of 2)
Day 2: Lesson 12.5 Vectors and the Dot Product (day 2 of 2)
Day 3: Lesson 12.6 Matrices as Transformations (day 1 of 2)
Day 4: Lesson 12.6 Matrices as Transformations (day 2 of 2)
Day 5: Unit 12 review (mastery checklist and missed problems)
Wk 32Day 1: Unit 12 test
Day 2: Lesson 13.1 Right-Triangle Trigonometry: A Review (day 1 of 2)
Day 3: Lesson 13.1 Right-Triangle Trigonometry: A Review (day 2 of 2)
Day 4: Lesson 13.2 Angles, Radians and the Unit Circle: A First Look (day 1 of 2)
Day 5: Lesson 13.2 Angles, Radians and the Unit Circle: A First Look (day 2 of 2)
Wk 33Day 1: Unit 13 review (mastery checklist and missed problems)
Day 2: Unit 13 test
Day 3: Final review (Units 1–6)
Day 4: Final review (Units 7–13)
Day 5: Final exam (Units 1–13)
Wk 34Catch-up week: finish any MUST COVER lesson not yet done
Wk 35Catch-up week: finish any MUST COVER lesson not yet done
Wk 36Year-end review, portfolio and records

Grading: Daily practice sets 20%, Unit tests 50%, Midterm exam 15%, Final exam 15%. Scale: A 90–100, B 80–89, C 70–79, D 60–69, below 60 redo