IXL skill plan | Algebra II plan for Carnegie Learning Math (2022)

Skill plan for Carnegie Learning Math (2022) - Algebra II

IXL provides skill alignments with recommended IXL skills for each module. Find the IXL skills that are right for you below!

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1	Module 1 Analyzing Structure
Topic 1 - Exploring and Analyzing Patterns
Lesson 1.1: Patterns: They're Grrrrrowing!		1. Number sequences 2. Shape patterns
Lesson 1.1: Patterns: They're Grrrrrowing!
1. Number sequences 2. Shape patterns

Lesson 1.2: The Cat's Out of the Bag!		1. Identify linear, quadratic, and exponential functions from graphs 2. Identify linear, quadratic, and exponential functions from tables 3. Write linear, quadratic, and exponential functions Also consider: • Identify equivalent linear expressions: word problems
Lesson 1.2: The Cat's Out of the Bag!
1. Identify linear, quadratic, and exponential functions from graphs 2. Identify linear, quadratic, and exponential functions from tables 3. Write linear, quadratic, and exponential functions Also consider: • Identify equivalent linear expressions: word problems

Lesson 1.3: Samesies		1. Complete a table for a function graph 2. Complete function tables from equations Also consider: • Identify functions • Evaluate explicit formulas for sequences
Lesson 1.3: Samesies
1. Complete a table for a function graph 2. Complete function tables from equations Also consider: • Identify functions • Evaluate explicit formulas for sequences

Lesson 1.4: True to Form		1. Characteristics of quadratic functions 2. Match quadratic functions and graphs 3. Write a quadratic function in vertex form from its vertex and another point 4. Write a quadratic function from three points Also consider: • Write a quadratic function from its zeros • Write a quadratic function in factored form from its x-intercepts and another point • Write a quadratic function in vertex form
Lesson 1.4: True to Form
1. Characteristics of quadratic functions 2. Match quadratic functions and graphs 3. Write a quadratic function in vertex form from its vertex and another point 4. Write a quadratic function from three points Also consider: • Write a quadratic function from its zeros • Write a quadratic function in factored form from its x-intercepts and another point • Write a quadratic function in vertex form

Lesson 1.5: The Root of the Problem		1. Solve a quadratic equation by factoring 2. Solve a quadratic equation by completing the square 3. Solve a quadratic equation using the quadratic formula: real solutions 4. Solve quadratic equations: word problems Also consider: • Solve a nonlinear system of equations
Lesson 1.5: The Root of the Problem
1. Solve a quadratic equation by factoring 2. Solve a quadratic equation by completing the square 3. Solve a quadratic equation using the quadratic formula: real solutions 4. Solve quadratic equations: word problems Also consider: • Solve a nonlinear system of equations

Lesson 1.6: i Want to Believe		1. Introduction to complex numbers 2. Add and subtract complex numbers 3. Multiply complex numbers 4. Solve a quadratic equation using the quadratic formula Also consider: • Write and graph complex numbers using the complex plane • Using the discriminant • Solve quadratic equations using any method
Lesson 1.6: i Want to Believe
1. Introduction to complex numbers 2. Add and subtract complex numbers 3. Multiply complex numbers 4. Solve a quadratic equation using the quadratic formula Also consider: • Write and graph complex numbers using the complex plane • Using the discriminant • Solve quadratic equations using any method
Topic 2 - Composing and Decomposing Functions
Lesson 2.1: Blame It on the Rain		1. Find the maximum or minimum value of a quadratic function Also consider: • Minimum and maximum area and volume
Lesson 2.1: Blame It on the Rain
1. Find the maximum or minimum value of a quadratic function Also consider: • Minimum and maximum area and volume

Lesson 2.2: Folds, Turns, and Zeros		1. Find the roots of factored polynomials
Lesson 2.2: Folds, Turns, and Zeros
1. Find the roots of factored polynomials

Lesson 2.3: Planting the Seeds		1. Match cubic functions and graphs
Lesson 2.3: Planting the Seeds
1. Match cubic functions and graphs

Lesson 2.4: The Zero's the Hero		1. Match polynomials and graphs using zeros 2. Match quadratic and cubic functions with their graphs
Lesson 2.4: The Zero's the Hero
1. Match polynomials and graphs using zeros 2. Match quadratic and cubic functions with their graphs
Topic 3 - Characteristics of Polynomial Functions
Lesson 3.1: So Odd, I Can't Even		1. Even and odd functions 2. Even and odd functions: graphs 3. Match polynomials and graphs using end behavior
Lesson 3.1: So Odd, I Can't Even
1. Even and odd functions 2. Even and odd functions: graphs 3. Match polynomials and graphs using end behavior

Lesson 3.2: Math Class Needs a Makeover		1. Function transformation rules Also consider: • Transformations of quadratic functions
Lesson 3.2: Math Class Needs a Makeover
1. Function transformation rules Also consider: • Transformations of quadratic functions

Lesson 3.3: Poly-Wog		1. Domain and range of polynomials 2. Match polynomials and graphs
Lesson 3.3: Poly-Wog
1. Domain and range of polynomials 2. Match polynomials and graphs

Lesson 3.4: Function Construction		1. Write a polynomial from its roots 2. Fundamental Theorem of Algebra
Lesson 3.4: Function Construction
1. Write a polynomial from its roots 2. Fundamental Theorem of Algebra

Lesson 3.5: Level Up		1. Average rate of change: polynomials 2. Identify graphs: word problems
Lesson 3.5: Level Up
1. Average rate of change: polynomials 2. Identify graphs: word problems

Lesson 3.6: To a Greater or Lesser Degree		1. Compare linear functions: tables, graphs, and equations
Lesson 3.6: To a Greater or Lesser Degree
1. Compare linear functions: tables, graphs, and equations

2	Module 2 Developing Structural Similarities
Topic 1 - Relating Factors and Zeros
Lesson 1.1: Satisfactory Factoring		1. Factor out a monomial 2. Factor by grouping 3. Factor using a quadratic pattern Also consider: • Factor quadratics: differences of squares • Complex conjugate theorem
Lesson 1.1: Satisfactory Factoring
1. Factor out a monomial 2. Factor by grouping 3. Factor using a quadratic pattern Also consider: • Factor quadratics: differences of squares • Complex conjugate theorem

Lesson 1.2: Divide and Conquer		1. Divide polynomials using long division 2. Divide polynomials using synthetic division 3. Factor sums and differences of cubes Also consider: • Evaluate polynomials using synthetic division • Rational root theorem
Lesson 1.2: Divide and Conquer
1. Divide polynomials using long division 2. Divide polynomials using synthetic division 3. Factor sums and differences of cubes Also consider: • Evaluate polynomials using synthetic division • Rational root theorem

Lesson 1.3: Closing Time		1. Add, subtract, multiply, and divide polynomials
Lesson 1.3: Closing Time
1. Add, subtract, multiply, and divide polynomials

Lesson 1.4: Unequal Equals		1. Solve quadratic inequalities 2. Graph solutions to quadratic inequalities Also consider: • Write two-variable linear inequalities: word problems
Lesson 1.4: Unequal Equals
1. Solve quadratic inequalities 2. Graph solutions to quadratic inequalities Also consider: • Write two-variable linear inequalities: word problems
Topic 2 - Polynomial Models
Lesson 2.1: Not a Case of Mistaken Identity		1. Factor polynomials using identities
Lesson 2.1: Not a Case of Mistaken Identity
1. Factor polynomials using identities

Lesson 2.2: Elegant Simplicity		1. Pascal's triangle and the Binomial Theorem 2. Binomial Theorem I 3. Binomial Theorem II Also consider: • Pascal's triangle • Combinations and permutations • Expand binomials using Pascal's triangle
Lesson 2.2: Elegant Simplicity
1. Pascal's triangle and the Binomial Theorem 2. Binomial Theorem I 3. Binomial Theorem II Also consider: • Pascal's triangle • Combinations and permutations • Expand binomials using Pascal's triangle

Lesson 2.3: Modeling Gig		1. Interpret regression lines
Lesson 2.3: Modeling Gig
1. Interpret regression lines
Topic 3 - Rational Functions
Lesson 3.1: There's a Fine Line Between a Numerator and a Denominator		1. Rational functions: identify asymptotes from graphs Also consider: • Set-builder notation
Lesson 3.1: There's a Fine Line Between a Numerator and a Denominator
1. Rational functions: identify asymptotes from graphs Also consider: • Set-builder notation

Lesson 3.2: Approaching Infinity		1. Rational functions: identify asymptotes from equations
Lesson 3.2: Approaching Infinity
1. Rational functions: identify asymptotes from equations

Lesson 3.3: There's a Hole in My Function!		1. Simplify rational expressions 2. Rational functions: identify excluded values from equations
Lesson 3.3: There's a Hole in My Function!
1. Simplify rational expressions 2. Rational functions: identify excluded values from equations

Lesson 3.4: Must Be a Rational Explanation		1. Add and subtract rational expressions 2. Multiply and divide rational expressions
Lesson 3.4: Must Be a Rational Explanation
1. Add and subtract rational expressions 2. Multiply and divide rational expressions

Lesson 3.5: Thunder. Thun- Thun- Thunder.		1. Solve rational equations
Lesson 3.5: Thunder. Thun- Thun- Thunder.
1. Solve rational equations

Lesson 3.6: 16 Tons and What Do You Get?
Lesson 3.6: 16 Tons and What Do You Get?

3	Module 3 Inverting Functions
Topic 1 - Radical Functions
Lesson 1.1: Strike That, Invert It		1. Identify functions: vertical line test 2. Identify invertible functions: horizontal line test
Lesson 1.1: Strike That, Invert It
1. Identify functions: vertical line test 2. Identify invertible functions: horizontal line test

Lesson 1.2: Such a Rad Lesson		1. Domain and range of square root functions: graphs 2. Identify inverse functions 3. Evaluate a radical function Also consider: • Composition of linear and quadratic functions: find a value • Composition of linear and quadratic functions: find an equation • Find inverse functions and relations
Lesson 1.2: Such a Rad Lesson
1. Domain and range of square root functions: graphs 2. Identify inverse functions 3. Evaluate a radical function Also consider: • Composition of linear and quadratic functions: find a value • Composition of linear and quadratic functions: find an equation • Find inverse functions and relations

Lesson 1.3: Making Waves		1. Graph square root functions 2. Graph cube root functions
Lesson 1.3: Making Waves
1. Graph square root functions 2. Graph cube root functions

Lesson 1.4: Keepin' It Real		1. Simplify radical expressions with variables 2. Simplify radical expressions involving fractions 3. Multiply radical expressions 4. Add and subtract radical expressions Also consider: • Convert between rational exponents and radicals • Nth roots • Simplify radical expressions using the distributive property
Lesson 1.4: Keepin' It Real
1. Simplify radical expressions with variables 2. Simplify radical expressions involving fractions 3. Multiply radical expressions 4. Add and subtract radical expressions Also consider: • Convert between rational exponents and radicals • Nth roots • Simplify radical expressions using the distributive property

Lesson 1.5: Into the Unknown		1. Solve radical equations Also consider: • Solve equations with rational exponents
Lesson 1.5: Into the Unknown
1. Solve radical equations Also consider: • Solve equations with rational exponents
Topic 2 - Exponential and Logarithmic Functions
Lesson 2.1: Half-Life		1. Write a formula for a geometric sequence 2. Compare linear and exponential growth Also consider: • Evaluate exponential functions • Identify arithmetic and geometric sequences
Lesson 2.1: Half-Life
1. Write a formula for a geometric sequence 2. Compare linear and exponential growth Also consider: • Evaluate exponential functions • Identify arithmetic and geometric sequences

Lesson 2.2: Pert and Nert		1. Graph simple exponential functions 2. Continuously compounded interest: word problems Also consider: • Compound interest: word problems
Lesson 2.2: Pert and Nert
1. Graph simple exponential functions 2. Continuously compounded interest: word problems Also consider: • Compound interest: word problems

Lesson 2.3: Return of the Inverse		1. Convert between exponential and logarithmic form: all bases 2. Graph logarithmic functions 3. Domain and range of logarithmic functions
Lesson 2.3: Return of the Inverse
1. Convert between exponential and logarithmic form: all bases 2. Graph logarithmic functions 3. Domain and range of logarithmic functions

Lesson 2.4: I Like to Move It		1. Match exponential functions and graphs
Lesson 2.4: I Like to Move It
1. Match exponential functions and graphs
Topic 3 - Exponential and Logarithmic Equations
Lesson 3.1: All the Pieces of the Puzzle		1. Evaluate logarithms 2. Evaluate natural logarithms
Lesson 3.1: All the Pieces of the Puzzle
1. Evaluate logarithms 2. Evaluate natural logarithms

Lesson 3.2: Mad Props		1. Properties of logarithms 2. Properties of logarithms: mixed review Also consider: • Product property of logarithms • Quotient property of logarithms • Power property of logarithms • Evaluate logarithms using properties
Lesson 3.2: Mad Props
1. Properties of logarithms 2. Properties of logarithms: mixed review Also consider: • Product property of logarithms • Quotient property of logarithms • Power property of logarithms • Evaluate logarithms using properties

Lesson 3.3: More Than One Way to Crack an Egg		1. Change of base formula 2. Solve exponential equations using common logarithms Also consider: • Solve exponential equations by rewriting the base • Solve exponential equations using natural logarithms
Lesson 3.3: More Than One Way to Crack an Egg
1. Change of base formula 2. Solve exponential equations using common logarithms Also consider: • Solve exponential equations by rewriting the base • Solve exponential equations using natural logarithms

Lesson 3.4: Logging On		1. Solve logarithmic equations I 2. Solve logarithmic equations II
Lesson 3.4: Logging On
1. Solve logarithmic equations I 2. Solve logarithmic equations II

Lesson 3.5: What's the Use?		1. Write exponential functions: word problems 2. Exponential growth and decay: word problems 3. Exponential regression
Lesson 3.5: What's the Use?
1. Write exponential functions: word problems 2. Exponential growth and decay: word problems 3. Exponential regression
Topic 4 - Applications of Growth Modeling
Lesson 4.1: Series Are Sums		1. Introduction to sigma notation 2. Find the sum of a finite geometric series Also consider: • Find the value of an infinite geometric series
Lesson 4.1: Series Are Sums
1. Introduction to sigma notation 2. Find the sum of a finite geometric series Also consider: • Find the value of an infinite geometric series

Lesson 4.2: Paint By Numbers		1. Transformations of functions 2. Graph piecewise-defined functions Also consider: • Describe function transformations
Lesson 4.2: Paint By Numbers
1. Transformations of functions 2. Graph piecewise-defined functions Also consider: • Describe function transformations

Lesson 4.3: This Is the Title of This Lesson		1. Sequences: mixed review Also consider: • Evaluate recursive formulas for sequences
Lesson 4.3: This Is the Title of This Lesson
1. Sequences: mixed review Also consider: • Evaluate recursive formulas for sequences

4	Module 4 Investigating Periodic Functions
Topic 1 - Trigonometric Relationships
Lesson 1.1: A Sense of Déjà Vu		1. Determine the period and amplitude of a periodic function: graphs
Lesson 1.1: A Sense of Déjà Vu
1. Determine the period and amplitude of a periodic function: graphs

Lesson 1.2: The Knights of the Round Table		1. Radians and arc length 2. Convert between radians and degrees
Lesson 1.2: The Knights of the Round Table
1. Radians and arc length 2. Convert between radians and degrees

Lesson 1.3: What Goes Around		1. Trigonometric ratios: sine and cosine 2. Inverses of sine and cosine: radians Also consider: • Find trigonometric ratios using the unit circle
Lesson 1.3: What Goes Around
1. Trigonometric ratios: sine and cosine 2. Inverses of sine and cosine: radians Also consider: • Find trigonometric ratios using the unit circle

Lesson 1.4: The Sines They Are A-Changin'		1. Find properties of sine and cosine functions 2. Graph sine and cosine functions 3. Graph translations of sine and cosine functions
Lesson 1.4: The Sines They Are A-Changin'
1. Find properties of sine and cosine functions 2. Graph sine and cosine functions 3. Graph translations of sine and cosine functions

Lesson 1.5: Farmer's Tan		1. Sin, cos, and tan of special angles: radians 2. Symmetry and periodicity of sine, cosine, and tangent functions
Lesson 1.5: Farmer's Tan
1. Sin, cos, and tan of special angles: radians 2. Symmetry and periodicity of sine, cosine, and tangent functions
Topic 2 - Trigonometric Equations
Lesson 2.1: Sin²θ Plus Cos²θ Equals 1²		1. Pythagorean identities: sine and cosine
Lesson 2.1: Sin²θ Plus Cos²θ Equals 1²
1. Pythagorean identities: sine and cosine

Lesson 2.2: Chasing Theta		1. Solve trigonometric equations
Lesson 2.2: Chasing Theta
1. Solve trigonometric equations

Lesson 2.3: Time and Time Again
Lesson 2.3: Time and Time Again


Lesson 2.4: The Wheels Are in Motion
Lesson 2.4: The Wheels Are in Motion


Lesson 2.5: Springs Eternal
Lesson 2.5: Springs Eternal

5	Module 5 Relating Data and Decisions
Topic 1 - Interpreting Data in Normal Distributions
Lesson 1.1: Recharge It!		1. Identify discrete and continuous random variables 2. Write a discrete probability distribution 3. Graph a discrete probability distribution
Lesson 1.1: Recharge It!
1. Identify discrete and continuous random variables 2. Write a discrete probability distribution 3. Graph a discrete probability distribution

Lesson 1.2: The Form of Norm		1. Find probabilities using the normal distribution I
Lesson 1.2: The Form of Norm
1. Find probabilities using the normal distribution I

Lesson 1.3: Above, Below, and Between the Lines		1. Find z-values 2. Find values of normal variables
Lesson 1.3: Above, Below, and Between the Lines
1. Find z-values 2. Find values of normal variables

Lesson 1.4: Toh-May-Toh, Toh-Mah-Toh		1. Find probabilities using the normal distribution II
Lesson 1.4: Toh-May-Toh, Toh-Mah-Toh
1. Find probabilities using the normal distribution II
Topic 2 - Making Inferences and Justifying Conclusions
Lesson 2.1: Data, Data, Everywhere		1. Identify biased samples 2. Experiment design
Lesson 2.1: Data, Data, Everywhere
1. Identify biased samples 2. Experiment design

Lesson 2.2: Ample Sample Examples		1. Identify representative, random, and biased samples
Lesson 2.2: Ample Sample Examples
1. Identify representative, random, and biased samples

Lesson 2.3: A Vote of Confidence		1. Distributions of sample means 2. Find confidence intervals for population means 3. Find confidence intervals for population proportions
Lesson 2.3: A Vote of Confidence
1. Distributions of sample means 2. Find confidence intervals for population means 3. Find confidence intervals for population proportions

Lesson 2.4: How Much Different?		1. Interpret confidence intervals for population means
Lesson 2.4: How Much Different?
1. Interpret confidence intervals for population means

Lesson 2.5: DIY		1. Analyze the results of an experiment using simulations
Lesson 2.5: DIY
1. Analyze the results of an experiment using simulations

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