Algebra 2 Curriculum

If you are familiar with my Algebra 1 Curriculum, this curriculum is designed the same! Easily adaptable, it is perfect for your Pre-AP or on-level Algebra 2 students.

WHAT'S INCLUDED? This is a CURRICULUM BUNDLE that includes 13 units as well as a semester review + exam and a final review + exam. Each unit contains lessons, assignments, tests, test reviews, warmups and tutorial videos. See curriculum outline below:

Unit 00: Foundations of Algebra 2

Unit 1: Foundations for Functions

Unit 2: Linear and Absolute Value Functions

Unit 3: Systems and Matrices

Unit 4: Factoring Polynomials

Unit 5: Quadratic Functions

Unit 6: Polynomial Functions

Unit 7: Exponential and Logarithmic Functions

Unit 8: Radical Functions

Unit 9: Rational Functions

Unit 10: Extra Topics (Inequalities, Piecewise Functions, Inverse Functions, Regressions and Curve Fitting, Composition of Functions)

Unit 11: Conic Sections

Unit 12: Trigonometry

TUTORIAL VIDEOS over notes can be found on my YouTube channel: Mandy's Math World – look for the entire Algebra 2 playlist. I include these links in my google classroom; it's GREAT for DISTANCE LEARNING as well as for students who are absent or need the see the lesson again.

WARM UPS: Additionally, a Warm up PowerPoint is included with each unit, which provides daily warmups and assignment checks for students. All editable to use how you wish!

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See below to check out more detailed information about each unit.

UNIT 00: FOUNDATIONS OF ALGEBRA 2

Concepts/lessons included in this unit:

Lesson 1: Simplify Algebraic Expressions Review

Lesson 2: Solve Algebraic Equations Review

Lesson 3: Solve Algebraic Inequalities Review

Lesson 4: Compound Inequalities Review

Lesson 5: Interval Notation

Quiz - after lessons 1-4

UNIT 1: FOUNDATIONS FOR FUNCTIONS

Concepts/lessons included in this unit:

Lesson 1: Functions, Domain and Range

Lesson 2: Characteristics and Attributes of Functions (domain, range and intervals of positive/negative/increasing/decreasing)

Lesson 3: Parent Functions

Lesson 4: Transformations of Functions DAY 1 (Horizontal and Vertical Translations, Reflections across the axes)

Lesson 5: Transformations of Functions DAY 2 (Vertical and Horizontal Stretches and Compressions)

Lesson 6: Parent Functions Transformations DAY 3

Characteristics and Attributes of Functions Quiz - after lessons 1-2

Google Slides Parent Function Digital Flip Chart - after lesson 3

Transformations Charades in class activity - after lesson 6

Unit Test - after lessons 1-6; consists of 20 multiple-choice questions

UNIT 2: LINEAR AND ABSOLUTE VALUE FUNCTIONS

Concepts/lessons included in this unit:

Lesson 1: Graphing Linear Equations Review

Lesson 2: Intercepts and Equations of Vertical and Horizontal Lines Review

Lesson 3: Writing Equations of Lines Review

Lesson 4: Parallel and Perpendicular Lines Review

Lesson 5: Linear Word Problem Investigation

Lesson 6: Solving Absolute Value Equations

Lesson 7: Solving Absolute Value Inequalities

Lesson 8: Graphing Absolute Value Functions

Linear Equations Review Boom Cards - after lesson 5

Linear Equations Review Quiz - after lessons 1-5

Unit Test - 2 versions; consists of 25 multiple-choice questions

UNIT 3: SYSTEMS AND MATRICES

This unit is easily adaptable to fit the needs of your students. Shorten the unit by eliminating lessons for your Pre-AP students or leave it as-is for your on-level students who need a review of some of the Algebra 1 Systems of Equations material.

Concepts/lessons included in this unit:

Lesson 1: Solve Systems Using Graphs and Tables

Lesson 2: Solve 2x2 Systems by Substitution

Lesson 3: Solve 2x2 Systems by Elimination

Lesson 4: Solve 3x3 System Using Elimination

Lesson 5: Solve 3x3 System Using Substitution

Lesson 6: Basic Applications of Systems

Lesson 7: Motion Problems (Distance/Rate/Time) System Applications

Lesson 8: Applications of 3x3 Systems

Lesson 9: Systems of Linear Inequalities

Lesson 10: Linear Programming (Day 1 - The Basics)

Lesson 11: Linear Programming (Day 2 - Word Problems)

Lesson 12: Introduction to Matrices

Lesson 13: Multiplying Matrices

Lesson 14: Determinants and Inverse Matrices

Lesson 15: Solving Systems Using Matrices (The Matrix Equation)

Lesson 16: Solving Systems Using Matrices (Reduced Row Echelon Form - calculator only)

Google Slides Activity from my "Do it. Design it." series - Solving 2x2 Systems - Design a Scene at the Food Truck Park

Quiz #1 - after lessons 1-3

Quiz #2 - after lessons 5-8

Unit Test - 2 versions; consists of 25 multiple-choice questions (easy grading)

UNIT 4: FACTORING POLYNOMIALS (REVIEW)

Concepts/lessons included in this unit:

Lesson 1: Factor out a GCF and Factor a 4-term polynomial by Grouping

Lesson 2: Factor a Quadratic Trinomial (3 options included for teaching factoring a trinomial when a is not 1 - slide and divide method, grouping method, and box method)

Lessons 3: Factor a Difference of Two Squares

Lesson 4: Factor a Sum or Difference of Two Cubes

Quiz - after lessons 1-2

Unit Test - 2 versions; consists of 20 multiple-choice and free-response questions (easy grading)

UNIT 5: QUADRATIC FUNCTIONS (INCLUDES COMPLEX SOLUTIONS)

Concepts/lessons included in this unit:

Lesson 1: Properties of Quadratic Functions

Lesson 2: Transformations of Quadratic Functions

Lesson 3: Solve Quadratics by Factoring

Lesson 4: Simplify Non-Perfect Square Roots Review

Lesson 5: Solve Quadratics by Completing the Square

Lesson 6: Complex Numbers and Roots (includes operations with complex numbers - add, subtract)

Lesson 7: Solve Quadratics Using the Quadratic Formula (includes complex solutions)

Lesson 8: Writing Quadratic Equations (from 3 points or a table using gaussian elimination - includes regression on the calculator)

Lesson 9: Applications of Quadratics (includes projectile motion, trajectory, maximizing profits and writing equations and solving when given information)

Lesson 10: Linear and Quadratic Systems of Equations

Quiz #1 - after lessons 1-2

Quiz #2 - after lessons 1-7

Unit Test - 2 versions - this test and test review is not YET included in this bundle - these will be added 8/29/21

UNIT 6: POLYNOMIAL FUNCTIONS - TC

UNIT 7: EXPONENTIAL AND LOGARITHMIC FUNCTIONS

Concepts/lessons included in this unit:

Lesson 1: Properties of Exponents Review

Lesson 2: Exponential Graphs and Patterns

Lessons 3 - 4: Introduction to Logarithms (2 Days - expand, condense logs)

Lesson 5: Solving Exponential Equations

Lessons 6-7: Solving Logarithmic Equations (2 Days - log on one side, log on both sides)

Lesson 8: Basic Applications of Exponential Functions

Lesson 9: Compound Interest and the Natural Base, e

Lesson 10: Change of Base Property and the Natural Log, ln

Lesson 11: Graphing Exponential and Logarithmic Functions

Quiz #1 - after lessons 1-4

Quiz #2 (Equations) - after lessons 5-7

Unit Test - 2 versions; consists of 30 multiple-choice and free-response questions (easy grading)

UNIT 8: RADICAL FUNCTIONS

Concepts/lessons included in this unit:

Lesson 1: Simplifying, Multiplying and Dividing Radical Expressions

Lesson 2: Adding and Subtracting Radical Expressions

Lesson 3: Operations with Radical Expressions Review (printable pdf and Boom Cards version included)

Lesson 4: Radical Expressions and Rational Exponents

Lesson 5: Graphing Square Root Functions

Lesson 6: Solving Radical Equations

Quiz: Operations with Radicals - after lessons 1-3

Unit Test - 2 versions; consists of 20 free-response questions

UNIT 9: RATIONAL FUNCTIONS

Concepts/lessons included in this unit:

Lesson 1: Simplifying, Multiplying and Dividing Rational Expressions

Lesson 2: Adding and Subtracting Rational Expressions with Like Denominators

Lesson 3: Adding and Subtracting Rational Expressions

Lesson 4: Operations with Rational Expressions Review

Lesson 5: Solving Rational Equations (Day 1)

Lesson 6: Solving Rational Equations (Day 2)

Lesson 7: Graphing Rational Functions (Day 1)

Lesson 8: Graphing Rational Functions (Day 2)

Quiz #1: Operations with Rationals - after lessons 1-4

Quiz #2: Rational Equations and Functions - after lessons 5-8

Unit Test - 2 versions; consists of 22 multiple-choice questions

UNIT 10: EXTRA TOPICS

This is a unique unit. It includes topics I like to teach at the end of the year, but as some school districts like these concepts taught at various times throughout the year, I have included them as separate lessons. Supplemental activities to support some of these concepts are also included.

Concepts in this unit include:

• Composition of Functions - includes supplemental class activity (Print + Digital): Composition of Functions Scavenger Hunt
• Inverse Functions - includes Inverse Functions Flip Book (Print + Digital)
• Piecewise Functions
• Regressions
• Quadratic Inequalities (this lesson is also included in the Quadratic Functions Unit)

UNIT 11: CONIC SECTIONS

Concepts/lessons in this unit include:

• Conics Formulas Reference Sheet
• Lesson 1: Distance/Midpoint Review
• Lesson 2: Intro to Conics and Circles
• Lesson 3: Ellipses
• Lesson 4: Hyperbolas
• Lesson 5: Parabolas
• Lesson 6: Identifying Conic Sections Graphing Organizer and Assignment (includes Google Slides version of this assignment)
• Lesson 7: Convert from Standard Form to Graphing Form by Completing the Square

• Unit Quiz (after lessons 1 – 4)
• Unit Test Review
• Unit Test
• Warm Ups

UNIT 12: TRIGONOMETRY

This Algebra 2 unit is packed with the following:

• 9 lessons (includes notes and assignments)
• online tutorial videos (already recorded - no prep for you!)
• 1 Quiz (2 versions)
• 10 Warmup Entrance Tickets
• a Test Review
• 2 versions of a Trigonometry Unit Test
• Teacher Version and Student Version pdfs
• Answer Keys
• Bonus Assignment: Table of Values for Trigonometric Functions

Concepts/lessons included in this unit:

• Lesson 1: Right Triangle Review – these notes are long; I recommend stretching this lesson/assignment over two days
• Lesson 2: Intro to Trigonometry
• Lesson 3: Trig Functions & The Unit Circle (includes PowerPoint presentation)
• Lesson 4: More Trig Functions
• Mid-Unit Review (covers concepts included in lessons 1 – 4) – includes Google Slides Version
• Trigonometry QUIZ(covers concepts included in lessons 1 – 4)
• Lessons 5 - 7: Graphing Sine and Cosine
• Lessons 8 - 9: Verifying Trigonometric Identities (uses basic, reciprocal (quotient) and Pythagorean Identities only) - Lesson 9 includes more difficult, multi-step problems
• Unit Test Review
• Unit Test

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Questions? Email me at mandysmathworld@gmail.com!