IXL skill plan | Algebra 2 plan for IM® K-12 Math

Skill plan for IM^® K-12 Math - Algebra 2

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1	Unit 1 Sequences and Functions
Section A - A Towering Sequence
Lesson 1: A Towering Sequence		1. Evaluate recursive formulas for sequences
Lesson 1: A Towering Sequence
1. Evaluate recursive formulas for sequences
Section B - Sequences
Lesson 2: Introducing Geometric Sequences		1. Find terms of a geometric sequence
Lesson 2: Introducing Geometric Sequences
1. Find terms of a geometric sequence

Lesson 3: Different Types of Sequences		1. Find terms of an arithmetic sequence
Lesson 3: Different Types of Sequences
1. Find terms of an arithmetic sequence

Lesson 4: Using Technology to Work with Sequences
Lesson 4: Using Technology to Work with Sequences


Lesson 5: Sequences Are Functions		1. Evaluate explicit formulas for sequences
Lesson 5: Sequences Are Functions
1. Evaluate explicit formulas for sequences

Lesson 6: Representing Sequences		1. Write a formula for a recursive sequence
Lesson 6: Representing Sequences
1. Write a formula for a recursive sequence

Lesson 7: Representing More Sequences		1. Sequences: mixed review
Lesson 7: Representing More Sequences
1. Sequences: mixed review
Section C - What's the Equation?
Lesson 8: The n^th Term
Lesson 8: The n^th Term


Lesson 9: What's the Equation?		1. Write a formula for an arithmetic sequence 2. Write a formula for a geometric sequence
Lesson 9: What's the Equation?
1. Write a formula for an arithmetic sequence 2. Write a formula for a geometric sequence

Lesson 10: Situations and Sequence Types		1. Classify formulas and sequences
Lesson 10: Situations and Sequence Types
1. Classify formulas and sequences

Lesson 11: Adding up
Lesson 11: Adding up

2	Unit 2 Polynomials and Rational Functions
Section A - What Is a Polynomial?
Lesson 1: Let's Make a Box
Lesson 1: Let's Make a Box


Lesson 2: Funding the Future
Lesson 2: Funding the Future


Lesson 3: Introducing Polynomials		1. Polynomial vocabulary 2. Match polynomials and graphs
Lesson 3: Introducing Polynomials
1. Polynomial vocabulary 2. Match polynomials and graphs

Lesson 4: Combining Polynomials		1. Add and subtract polynomials
Lesson 4: Combining Polynomials
1. Add and subtract polynomials
Section B - Working with Polynomials
Lesson 5: Connecting Factors and Zeros		1. Solve a quadratic equation using the zero product property
Lesson 5: Connecting Factors and Zeros
1. Solve a quadratic equation using the zero product property

Lesson 6: Different Forms
Lesson 6: Different Forms


Lesson 7: Using Factors and Zeros		1. Write a quadratic function from its zeros 2. Find the roots of factored polynomials
Lesson 7: Using Factors and Zeros
1. Write a quadratic function from its zeros 2. Find the roots of factored polynomials

Lesson 8: End Behavior (Part 1)
Lesson 8: End Behavior (Part 1)


Lesson 9: End Behavior (Part 2)
Lesson 9: End Behavior (Part 2)


Lesson 10: Multiplicity
Lesson 10: Multiplicity


Lesson 11: Finding Intersections		1. Solve a system of linear and quadratic equations: parabolas
Lesson 11: Finding Intersections
1. Solve a system of linear and quadratic equations: parabolas

Lesson 12: Polynomial Division (Part 1)
Lesson 12: Polynomial Division (Part 1)


Lesson 13: Polynomial Division (Part 2)		1. Divide polynomials using long division
Lesson 13: Polynomial Division (Part 2)
1. Divide polynomials using long division

Lesson 14: What Do You Know About Polynomials?
Lesson 14: What Do You Know About Polynomials?


Lesson 15: The Remainder Theorem
Lesson 15: The Remainder Theorem

Section C - Rational Functions
Lesson 16: Minimizing Surface Area
Lesson 16: Minimizing Surface Area


Lesson 17: Graphs of Rational Functions (Part 1)
Lesson 17: Graphs of Rational Functions (Part 1)


Lesson 18: Graphs of Rational Functions (Part 2)		1. Rational functions: asymptotes and excluded values
Lesson 18: Graphs of Rational Functions (Part 2)
1. Rational functions: asymptotes and excluded values

Lesson 19: End Behavior of Rational Functions
Lesson 19: End Behavior of Rational Functions

Section D - Rational Equations
Lesson 20: Rational Equations (Part 1)
Lesson 20: Rational Equations (Part 1)


Lesson 21: Rational Equations (Part 2)
Lesson 21: Rational Equations (Part 2)


Lesson 22: Solving Rational Equations		1. Solve rational equations
Lesson 22: Solving Rational Equations
1. Solve rational equations
Section E - Polynomial Identities
Lesson 23: Polynomial Identities (Part 1)
Lesson 23: Polynomial Identities (Part 1)


Lesson 24: Polynomial Identities (Part 2)		1. Multiply two binomials: special cases
Lesson 24: Polynomial Identities (Part 2)
1. Multiply two binomials: special cases

Lesson 25: Summing up
Lesson 25: Summing up


Lesson 26: Using the Sum
Lesson 26: Using the Sum

3	Unit 3 Complex Numbers and Rational Exponents
Section A - Exponent Properties
Lesson 1: Properties of Exponents		1. Powers with integer bases 2. Identify equivalent exponential expressions I 3. Identify equivalent exponential expressions II
Lesson 1: Properties of Exponents
1. Powers with integer bases 2. Identify equivalent exponential expressions I 3. Identify equivalent exponential expressions II

Lesson 2: Square Roots and Cube Roots		1. Square roots 2. Cube roots
Lesson 2: Square Roots and Cube Roots
1. Square roots 2. Cube roots

Lesson 3: Exponents That Are Unit Fractions
Lesson 3: Exponents That Are Unit Fractions


Lesson 4: Positive Rational Exponents		1. Multiplication with rational exponents 2. Division with rational exponents
Lesson 4: Positive Rational Exponents
1. Multiplication with rational exponents 2. Division with rational exponents

Lesson 5: Negative Rational Exponents		1. Negative exponents 2. Evaluate rational exponents
Lesson 5: Negative Rational Exponents
1. Negative exponents 2. Evaluate rational exponents
Section B - Solving Equations with Square and Cube Roots
Lesson 6: Squares and Square Roots
Lesson 6: Squares and Square Roots


Lesson 7: Inequivalent Equations
Lesson 7: Inequivalent Equations


Lesson 8: Cubes and Cube Roots
Lesson 8: Cubes and Cube Roots


Lesson 9: Solving Radical Equations		1. Solve radical equations
Lesson 9: Solving Radical Equations
1. Solve radical equations
Section C - A New Kind of Number
Lesson 10: A New Kind of Number
Lesson 10: A New Kind of Number


Lesson 11: Introducing the Number i		1. Introduction to complex numbers
Lesson 11: Introducing the Number i
1. Introduction to complex numbers

Lesson 12: Arithmetic with Complex Numbers		1. Add and subtract complex numbers
Lesson 12: Arithmetic with Complex Numbers
1. Add and subtract complex numbers

Lesson 13: Multiplying Complex Numbers		1. Multiply complex numbers
Lesson 13: Multiplying Complex Numbers
1. Multiply complex numbers

Lesson 14: More Arithmetic with Complex Numbers		1. Add, subtract, multiply, and divide complex numbers
Lesson 14: More Arithmetic with Complex Numbers
1. Add, subtract, multiply, and divide complex numbers

Lesson 15: Working Backwards
Lesson 15: Working Backwards

Section D - Solving Quadratics with Complex Numbers
Lesson 16: Solving Quadratics		1. Solve a quadratic equation by factoring
Lesson 16: Solving Quadratics
1. Solve a quadratic equation by factoring

Lesson 17: Completing the Square and Complex Solutions		1. Complete the square 2. Solve a quadratic equation by completing the square 3. Solve a quadratic equation using square roots
Lesson 17: Completing the Square and Complex Solutions
1. Complete the square 2. Solve a quadratic equation by completing the square 3. Solve a quadratic equation using square roots

Lesson 18: The Quadratic Formula and Complex Solutions		1. Solve a quadratic equation using the quadratic formula
Lesson 18: The Quadratic Formula and Complex Solutions
1. Solve a quadratic equation using the quadratic formula

Lesson 19: Real and Non-Real Solutions
Lesson 19: Real and Non-Real Solutions

4	Unit 4 Exponential Functions and Equations
Section A - Growing and Shrinking
Lesson 1: Growing and Shrinking		1. Describe linear and exponential growth and decay
Lesson 1: Growing and Shrinking
1. Describe linear and exponential growth and decay

Lesson 2: Representations of Growth and Decay		1. Evaluate exponential functions
Lesson 2: Representations of Growth and Decay
1. Evaluate exponential functions
Section B - Understanding Non-Integer Inputs
Lesson 3: Understanding Rational Inputs
Lesson 3: Understanding Rational Inputs


Lesson 4: Representing Functions at Rational Inputs
Lesson 4: Representing Functions at Rational Inputs


Lesson 5: Changes over Rational Intervals
Lesson 5: Changes over Rational Intervals


Lesson 6: Writing Equations for Exponential Functions
Lesson 6: Writing Equations for Exponential Functions


Lesson 7: Interpreting and Using Exponential Functions		1. Exponential functions over unit intervals 2. Exponential growth and decay: word problems
Lesson 7: Interpreting and Using Exponential Functions
1. Exponential functions over unit intervals 2. Exponential growth and decay: word problems
Section C - Missing Exponents
Lesson 8: Unknown Exponents
Lesson 8: Unknown Exponents


Lesson 9: What Is a Logarithm?		1. Convert between exponential and logarithmic form: rational bases
Lesson 9: What Is a Logarithm?
1. Convert between exponential and logarithmic form: rational bases

Lesson 10: Interpreting and Writing Logarithmic Equations
Lesson 10: Interpreting and Writing Logarithmic Equations


Lesson 11: Evaluating Logarithmic Expressions		1. Evaluate logarithms
Lesson 11: Evaluating Logarithmic Expressions
1. Evaluate logarithms
Section D - The Constant e
Lesson 12: The Number e
Lesson 12: The Number e


Lesson 13: Exponential Functions with Base e
Lesson 13: Exponential Functions with Base e


Lesson 14: Solving Exponential Equations		Evaluate natural logarithms 1. Evaluate natural logarithms Solve exponential equations 2. Solve exponential equations by rewriting the base 3. Solve exponential equations using common logarithms 4. Solve exponential equations using natural logarithms
Lesson 14: Solving Exponential Equations
Evaluate natural logarithms 1. Evaluate natural logarithms Solve exponential equations 2. Solve exponential equations by rewriting the base 3. Solve exponential equations using common logarithms 4. Solve exponential equations using natural logarithms
Section E - Logarithmic Functions and Graphs
Lesson 15: Using Graphs and Logarithms to Solve Problems (Part 1)
Lesson 15: Using Graphs and Logarithms to Solve Problems (Part 1)


Lesson 16: Using Graphs and Logarithms to Solve Problems (Part 2)
Lesson 16: Using Graphs and Logarithms to Solve Problems (Part 2)


Lesson 17: Logarithmic Functions		1. Domain and range of logarithmic functions
Lesson 17: Logarithmic Functions
1. Domain and range of logarithmic functions

Lesson 18: Applications of Logarithmic Functions
Lesson 18: Applications of Logarithmic Functions

5	Unit 5 Transformations of Functions
Section A - Translations, Reflections, and Symmetry
Lesson 1: Matching up to Data
Lesson 1: Matching up to Data


Lesson 2: Moving Functions
Lesson 2: Moving Functions


Lesson 3: More Movement		1. Translations of functions
Lesson 3: More Movement
1. Translations of functions

Lesson 4: Reflecting Functions		Reflections 1. Reflections of functions Mixed transformations 2. Transformations of quadratic functions
Lesson 4: Reflecting Functions
Reflections 1. Reflections of functions Mixed transformations 2. Transformations of quadratic functions

Lesson 5: Some Functions have Symmetry		1. Even and odd functions
Lesson 5: Some Functions have Symmetry
1. Even and odd functions

Lesson 6: Symmetry in Equations
Lesson 6: Symmetry in Equations


Lesson 7: Expressing Transformations of Functions Algebraically
Lesson 7: Expressing Transformations of Functions Algebraically

Section B - Scaling Outputs and Inputs
Lesson 8: Scaling the Outputs		Dilations 1. Dilations of functions Mixed transformations 2. Transformations of absolute value functions 3. Function transformation rules
Lesson 8: Scaling the Outputs
Dilations 1. Dilations of functions Mixed transformations 2. Transformations of absolute value functions 3. Function transformation rules

Lesson 9: Scaling the Inputs
Lesson 9: Scaling the Inputs

Section C - Putting It All Together
Lesson 10: Combining Functions		1. Add and subtract functions
Lesson 10: Combining Functions
1. Add and subtract functions

Lesson 11: Making a Model for Data
Lesson 11: Making a Model for Data

6	Unit 6 Trigonometric Functions
Section A - The Unit Circle
Lesson 1: Moving in Circles		1. Find the center of a circle 2. Find the radius or diameter of a circle
Lesson 1: Moving in Circles
1. Find the center of a circle 2. Find the radius or diameter of a circle

Lesson 2: Revisiting Right Triangles		1. Special right triangles 2. Trigonometric ratios: sin, cos, and tan
Lesson 2: Revisiting Right Triangles
1. Special right triangles 2. Trigonometric ratios: sin, cos, and tan

Lesson 3: The Unit Circle (Part 1)
Lesson 3: The Unit Circle (Part 1)


Lesson 4: The Unit Circle (Part 2)		1. Find trigonometric ratios using the unit circle
Lesson 4: The Unit Circle (Part 2)
1. Find trigonometric ratios using the unit circle

Lesson 5: The Pythagorean Identity (Part 1)
Lesson 5: The Pythagorean Identity (Part 1)


Lesson 6: The Pythagorean Identity (Part 2)
Lesson 6: The Pythagorean Identity (Part 2)


Lesson 7: Finding Unknown Coordinates on a Circle
Lesson 7: Finding Unknown Coordinates on a Circle

Section B - Periodic Functions
Lesson 8: Rising and Falling		1. Symmetry and periodicity of trigonometric functions
Lesson 8: Rising and Falling
1. Symmetry and periodicity of trigonometric functions

Lesson 9: Introduction to Trigonometric Functions
Lesson 9: Introduction to Trigonometric Functions


Lesson 10: Beyond 2π
Lesson 10: Beyond 2π


Lesson 11: Extending the Domain of Trigonometric Functions
Lesson 11: Extending the Domain of Trigonometric Functions


Lesson 12: Tangent
Lesson 12: Tangent

Section C - Trigonometry Transformations
Lesson 13: Amplitude and Midline
Lesson 13: Amplitude and Midline


Lesson 14: Transforming Trigonometric Functions		1. Graph translations of sine functions 2. Graph translations of cosine functions
Lesson 14: Transforming Trigonometric Functions
1. Graph translations of sine functions 2. Graph translations of cosine functions

Lesson 15: Features of Trigonometric Graphs (Part 1)		1. Write equations of sine functions from graphs 2. Write equations of cosine functions from graphs
Lesson 15: Features of Trigonometric Graphs (Part 1)
1. Write equations of sine functions from graphs 2. Write equations of cosine functions from graphs

Lesson 16: Features of Trigonometric Graphs (Part 2)		Sine functions 1. Write equations of sine functions using properties 2. Find properties of sine functions Cosine functions 3. Find properties of cosine functions 4. Write equations of cosine functions using properties
Lesson 16: Features of Trigonometric Graphs (Part 2)
Sine functions 1. Write equations of sine functions using properties 2. Find properties of sine functions Cosine functions 3. Find properties of cosine functions 4. Write equations of cosine functions using properties

Lesson 17: Comparing Transformations
Lesson 17: Comparing Transformations


Lesson 18: Modeling Circular Motion
Lesson 18: Modeling Circular Motion

Section D - Putting It All Together
Lesson 19: Beyond Circles
Lesson 19: Beyond Circles

7	Unit 7 Statistical Inferences
Section A - Study Types
Lesson 1: Being Skeptical
Lesson 1: Being Skeptical


Lesson 2: Study Types
Lesson 2: Study Types


Lesson 3: Randomness in Groups		1. Identify biased samples
Lesson 3: Randomness in Groups
1. Identify biased samples
Section B - Distributions
Lesson 4: Describing Distributions		1. Variance and standard deviation
Lesson 4: Describing Distributions
1. Variance and standard deviation

Lesson 5: Normal Distributions
Lesson 5: Normal Distributions


Lesson 6: Areas in Histograms
Lesson 6: Areas in Histograms


Lesson 7: Areas under a Normal Curve		Find probabilities 1. Find probabilities using the normal distribution I 2. Find probabilities using the normal distribution II Find z-values 3. Find z-values
Lesson 7: Areas under a Normal Curve
Find probabilities 1. Find probabilities using the normal distribution I 2. Find probabilities using the normal distribution II Find z-values 3. Find z-values
Section C - Not All Samples Are the Same
Lesson 8: Not Always Ideal
Lesson 8: Not Always Ideal


Lesson 9: Variability in Samples
Lesson 9: Variability in Samples


Lesson 10: Estimating Proportions from Samples
Lesson 10: Estimating Proportions from Samples


Lesson 11: Reducing Margin of Error
Lesson 11: Reducing Margin of Error


Lesson 12: Estimating a Population Mean		Distributions of sample means 1. Distributions of sample means Confidence intervals 2. Find confidence intervals for population means 3. Interpret confidence intervals for population means
Lesson 12: Estimating a Population Mean
Distributions of sample means 1. Distributions of sample means Confidence intervals 2. Find confidence intervals for population means 3. Interpret confidence intervals for population means
Section D - Analyzing Experimental Data
Lesson 13: Experimenting		1. Experiment design
Lesson 13: Experimenting
1. Experiment design

Lesson 14: Using Normal Distributions for Experiment Analysis		1. Analyze the results of an experiment using simulations
Lesson 14: Using Normal Distributions for Experiment Analysis
1. Analyze the results of an experiment using simulations

Lesson 15: Questioning Experimenting
Lesson 15: Questioning Experimenting


Lesson 16: Heart Rates
Lesson 16: Heart Rates

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