IXL skill plan | Algebra 2 plan for Carnegie Learning Texas Math Solution

Skill plan for Carnegie Learning Texas Math Solution - Algebra 2

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1	Module 1 Exploring Patterns in Linear and Quadratic Relationships
Topic 1 - Extending Linear Relationships
Lesson 1.1: Gauss in Das Haus		1. Determine the number of solutions to a system of equations in three variables 2. Solve a system of equations in three variables using substitution 3. Solve a system of equations in three variables using elimination Also consider: • Find the number of solutions to a system of equations • Solve a system of equations using any method: word problems
Lesson 1.1: Gauss in Das Haus
1. Determine the number of solutions to a system of equations in three variables 2. Solve a system of equations in three variables using substitution 3. Solve a system of equations in three variables using elimination Also consider: • Find the number of solutions to a system of equations • Solve a system of equations using any method: word problems

Lesson 1.2: Make the Best of It		1. Solve systems of linear inequalities by graphing 2. Find the vertices of a solution set for a system of linear inequalities 3. Linear programming Also consider: • Is (x, y) a solution to the system of inequalities?
Lesson 1.2: Make the Best of It
1. Solve systems of linear inequalities by graphing 2. Find the vertices of a solution set for a system of linear inequalities 3. Linear programming Also consider: • Is (x, y) a solution to the system of inequalities?

Lesson 1.3: Systems Redux		1. Solve a system of equations using augmented matrices 2. Solve a system of equations using augmented matrices: word problems Also consider: • Solve simple matrix equations using inverses
Lesson 1.3: Systems Redux
1. Solve a system of equations using augmented matrices 2. Solve a system of equations using augmented matrices: word problems Also consider: • Solve simple matrix equations using inverses

Lesson 1.4: Putting the V in Absolute Value		1. Graph an absolute value function 2. Transformations of absolute value functions Also consider: • Write absolute value equations from graphs • Domain and range of absolute value functions: graphs • Domain and range of absolute value functions: equations
Lesson 1.4: Putting the V in Absolute Value
1. Graph an absolute value function 2. Transformations of absolute value functions Also consider: • Write absolute value equations from graphs • Domain and range of absolute value functions: graphs • Domain and range of absolute value functions: equations

Lesson 1.5: Play Ball!		1. Solve absolute value equations 2. Solve absolute value inequalities Also consider: • Graph solutions to absolute value equations • Graph solutions to absolute value inequalities
Lesson 1.5: Play Ball!
1. Solve absolute value equations 2. Solve absolute value inequalities Also consider: • Graph solutions to absolute value equations • Graph solutions to absolute value inequalities
Topic 2 - Exploring and Analyzing Patterns
Lesson 2.1: Patterns: They're Grrrrrowing!		1. Number sequences 2. Shape patterns Also consider: • Write rules for sequences
Lesson 2.1: Patterns: They're Grrrrrowing!
1. Number sequences 2. Shape patterns Also consider: • Write rules for sequences

Lesson 2.2: 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 2.2: 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 2.3: 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 2.3: 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 2.4: 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 standard form from its x-intercepts and another point • Write a quadratic function in vertex form
Lesson 2.4: 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 standard form from its x-intercepts and another point • Write a quadratic function in vertex form

Lesson 2.5: 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 4. Solve quadratic equations: word problems Also consider: • Solve a nonlinear system of equations
Lesson 2.5: 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 4. Solve quadratic equations: word problems Also consider: • Solve a nonlinear system of equations

Lesson 2.6: i Want to Believe		1. Introduction to complex numbers 2. Add and subtract complex numbers 3. Multiply complex numbers 4. Solve quadratic equations using any method Also consider: • Write and graph complex numbers using the complex plane • Using the discriminant
Lesson 2.6: i Want to Believe
1. Introduction to complex numbers 2. Add and subtract complex numbers 3. Multiply complex numbers 4. Solve quadratic equations using any method Also consider: • Write and graph complex numbers using the complex plane • Using the discriminant
Topic 3 - Applications of Quadratics
Lesson 3.1: Ahead of the Curve		1. Solve quadratic inequalities 2. Graph solutions to quadratic inequalities
Lesson 3.1: Ahead of the Curve
1. Solve quadratic inequalities 2. Graph solutions to quadratic inequalities

Lesson 3.2: All Systems Go!		1. Solve a system of linear and quadratic equations by graphing: parabolas 2. Solve a system of linear and quadratic equations: parabolas
Lesson 3.2: All Systems Go!
1. Solve a system of linear and quadratic equations by graphing: parabolas 2. Solve a system of linear and quadratic equations: parabolas

Lesson 3.3: The Ol' Switcharoo		1. Find the inverse of a linear function 2. Find the inverse of a quadratic function
Lesson 3.3: The Ol' Switcharoo
1. Find the inverse of a linear function 2. Find the inverse of a quadratic function

Lesson 3.4: Modeling Behavior		1. Find the equation of a regression line 2. Interpret regression lines 3. Analyze a regression line of a data set Also consider: • Exponential regression
Lesson 3.4: Modeling Behavior
1. Find the equation of a regression line 2. Interpret regression lines 3. Analyze a regression line of a data set Also consider: • Exponential regression

Lesson 3.5: Going the Equidistance		1. Write equations of parabolas in vertex form using properties 2. Write equations of parabolas in vertex form from graphs 3. Find properties of a parabola from equations in general form 4. Graph parabolas Also consider: • Identify the direction a parabola opens • Find the vertex of a parabola • Find the focus or directrix of a parabola • Find the axis of symmetry of a parabola • Convert equations of parabolas from general to vertex form
Lesson 3.5: Going the Equidistance
1. Write equations of parabolas in vertex form using properties 2. Write equations of parabolas in vertex form from graphs 3. Find properties of a parabola from equations in general form 4. Graph parabolas Also consider: • Identify the direction a parabola opens • Find the vertex of a parabola • Find the focus or directrix of a parabola • Find the axis of symmetry of a parabola • Convert equations of parabolas from general to vertex form

2	Module 2 Analyzing Structure
Topic 1 - Composing and Decomposing Functions
Lesson 1.1: 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 1.1: 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 1.2: Folds, Turns, and Zeros		1. Find the roots of factored polynomials
Lesson 1.2: Folds, Turns, and Zeros
1. Find the roots of factored polynomials

Lesson 1.3: Planting the Seeds		1. Match cubic functions and graphs
Lesson 1.3: Planting the Seeds
1. Match cubic functions and graphs

Lesson 1.4: The Zero's the Hero		1. Match polynomials and graphs using zeros 2. Match quadratic and cubic functions with their graphs
Lesson 1.4: The Zero's the Hero
1. Match polynomials and graphs using zeros 2. Match quadratic and cubic functions with their graphs
Topic 2 - Characteristics of Polynomial Functions
Lesson 2.1: Odds and Evens		1. Even and odd functions 2. Even and odd functions: graphs 3. Match polynomials and graphs using end behavior
Lesson 2.1: Odds and Evens
1. Even and odd functions 2. Even and odd functions: graphs 3. Match polynomials and graphs using end behavior

Lesson 2.2: Math Class Makeover		1. Function transformation rules Also consider: • Transformations of quadratic functions
Lesson 2.2: Math Class Makeover
1. Function transformation rules Also consider: • Transformations of quadratic functions

Lesson 2.3: Poly-Frog		1. Match polynomials and graphs Also consider: • Domain and range of polynomials
Lesson 2.3: Poly-Frog
1. Match polynomials and graphs Also consider: • Domain and range of polynomials

Lesson 2.4: Build-a-Function		1. Write a polynomial from its roots 2. Fundamental Theorem of Algebra
Lesson 2.4: Build-a-Function
1. Write a polynomial from its roots 2. Fundamental Theorem of Algebra

Lesson 2.5: Leveled Up		1. Average rate of change: polynomials 2. Identify graphs: word problems
Lesson 2.5: Leveled Up
1. Average rate of change: polynomials 2. Identify graphs: word problems

3	Module 3 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: Conquer Division		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: Conquer Division
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
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

4	Module 4 Extending Beyond Polynomials
Topic 1 - Rational Functions
Lesson 1.1: Can't Touch This		1. Rational functions: asymptotes and excluded values
Lesson 1.1: Can't Touch This
1. Rational functions: asymptotes and excluded values

Lesson 1.2: Sooooo... Close
Lesson 1.2: Sooooo... Close


Lesson 1.3: Must Be a Rational Explanation		1. Add and subtract rational expressions 2. Multiply and divide rational expressions
Lesson 1.3: Must Be a Rational Explanation
1. Add and subtract rational expressions 2. Multiply and divide rational expressions

Lesson 1.4: Thunder. Thun- Thun- Thunder.		1. Solve rational equations
Lesson 1.4: Thunder. Thun- Thun- Thunder.
1. Solve rational equations

Lesson 1.5: 16 Tons and What Do You Get?
Lesson 1.5: 16 Tons and What Do You Get?

Topic 2 - Radical Functions
Lesson 2.1: Strike That, Invert It		1. Identify functions: vertical line test 2. Identify invertible functions: horizontal line test 3. Graphs of inverse functions
Lesson 2.1: Strike That, Invert It
1. Identify functions: vertical line test 2. Identify invertible functions: horizontal line test 3. Graphs of inverse functions

Lesson 2.2: 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 2.2: 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 2.3: Making Waves		1. Graph square root functions 2. Graph cube root functions
Lesson 2.3: Making Waves
1. Graph square root functions 2. Graph cube root functions

Lesson 2.4: 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 2.4: 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 2.5: Into the Unknown		1. Solve radical equations Also consider: • Solve equations with rational exponents
Lesson 2.5: Into the Unknown
1. Solve radical equations Also consider: • Solve equations with rational exponents

5	Module 5 Inverting Functions
Topic 1 - Exponentials and Logarithmic Functions
Lesson 1.1: 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 1.1: 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 1.2: Pert and Nert		1. Graph simple exponential functions 2. Compound interest: find the balance 3. Continuously compounded interest: find the balance or principal
Lesson 1.2: Pert and Nert
1. Graph simple exponential functions 2. Compound interest: find the balance 3. Continuously compounded interest: find the balance or principal

Lesson 1.3: 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 1.3: 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 1.4: I Like to Move It		1. Match exponential functions and graphs
Lesson 1.4: I Like to Move It
1. Match exponential functions and graphs

Lesson 1.5: Money, Heat, and Climate Change		1. Exponential regression
Lesson 1.5: Money, Heat, and Climate Change
1. Exponential regression

Lesson 1.6: Drive Responsibly
Lesson 1.6: Drive Responsibly

Topic 2 - Exponential and Logarithmic Equations
Lesson 2.1: All the Pieces of the Puzzle		1. Evaluate logarithms 2. Evaluate natural logarithms
Lesson 2.1: All the Pieces of the Puzzle
1. Evaluate logarithms 2. Evaluate natural logarithms

Lesson 2.2: 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 2.2: 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 2.3: 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 2.3: 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 2.4: Logging On		1. Solve logarithmic equations I 2. Solve logarithmic equations II
Lesson 2.4: Logging On
1. Solve logarithmic equations I 2. Solve logarithmic equations II

Lesson 2.5: What's the Use?		1. Write exponential functions: word problems 2. Exponential growth and decay: word problems
Lesson 2.5: What's the Use?
1. Write exponential functions: word problems 2. Exponential growth and decay: word problems
Topic 3 - Applications of Exponential Functions
Lesson 3.1: 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 3.1: 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 3.2: Paint By Numbers		1. Transformations of functions 2. Graph piecewise-defined functions Also consider: • Describe function transformations
Lesson 3.2: Paint By Numbers
1. Transformations of functions 2. Graph piecewise-defined functions Also consider: • Describe function transformations

Lesson 3.3: This is the Title of This Lesson		1. Sequences: mixed review Also consider: • Evaluate recursive formulas for sequences
Lesson 3.3: This is the Title of This Lesson
1. Sequences: mixed review Also consider: • Evaluate recursive formulas for sequences

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