IXL skill plan | Algebra 2 plan for EngageNY Math

Skill plan for EngageNY Math - Algebra 2

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1	Module 1 Polynomial, Rational, and Radical Relationships
Topic A - Polynomials – From Base Ten to Base X
Lesson 1: Successive Differences in Polynomials		1. Identify linear and quadratic functions from tables
Lesson 1: Successive Differences in Polynomials
1. Identify linear and quadratic functions from tables

Lesson 2: The Multiplication of Polynomials		1. Multiply polynomials using area models 2. Multiply polynomials Also consider: • Polynomial vocabulary • Add and subtract polynomials
Lesson 2: The Multiplication of Polynomials
1. Multiply polynomials using area models 2. Multiply polynomials Also consider: • Polynomial vocabulary • Add and subtract polynomials

Lesson 3: The Division of Polynomials
Lesson 3: The Division of Polynomials


Lesson 4: Comparing Methods – Long Division, Again?		1. Divide polynomials using long division: zero remainder
Lesson 4: Comparing Methods – Long Division, Again?
1. Divide polynomials using long division: zero remainder

Lesson 5: Putting It All Together		1. Add, subtract, multiply, and divide polynomials: zero remainder Also consider: • Add polynomials to find perimeter • Multiply polynomials to find area
Lesson 5: Putting It All Together
1. Add, subtract, multiply, and divide polynomials: zero remainder Also consider: • Add polynomials to find perimeter • Multiply polynomials to find area

Lesson 6: Dividing by x - a and x + a		1. Factor quadratics: differences of squares 2. Factor sums and differences of cubes
Lesson 6: Dividing by x - a and x + a
1. Factor quadratics: differences of squares 2. Factor sums and differences of cubes

Lesson 7: Mental Math		1. Factor polynomials using identities
Lesson 7: Mental Math
1. Factor polynomials using identities

Lesson 8: The Power of Algebra – Finding Primes
Lesson 8: The Power of Algebra – Finding Primes


Lesson 9: Radicals and Conjugates		1. Add and subtract radical expressions 2. Simplify radical expressions using the distributive property 3. Simplify radical expressions using conjugates Also consider: • Roots of rational numbers • Simplify radical expressions with variables I • Multiply radical expressions
Lesson 9: Radicals and Conjugates
1. Add and subtract radical expressions 2. Simplify radical expressions using the distributive property 3. Simplify radical expressions using conjugates Also consider: • Roots of rational numbers • Simplify radical expressions with variables I • Multiply radical expressions

Lesson 10: The Power of Algebra – Finding Pythagorean Triples		1. Pythagorean Theorem and its converse
Lesson 10: The Power of Algebra – Finding Pythagorean Triples
1. Pythagorean Theorem and its converse

Lesson 11: The Special Role of Zero in Factoring		1. Solve a quadratic equation using the zero product property 2. Find the roots of factored polynomials Also consider: • Write a quadratic function from its zeros
Lesson 11: The Special Role of Zero in Factoring
1. Solve a quadratic equation using the zero product property 2. Find the roots of factored polynomials Also consider: • Write a quadratic function from its zeros
Topic B - Factoring – Its Use and Its Obstacles
Lesson 12: Overcoming Obstacles in Factoring		1. Factor by grouping 2. Solve a quadratic equation by completing the square 3. Solve a quadratic equation using the quadratic formula: real solutions Also consider: • Factor out a monomial
Lesson 12: Overcoming Obstacles in Factoring
1. Factor by grouping 2. Solve a quadratic equation by completing the square 3. Solve a quadratic equation using the quadratic formula: real solutions Also consider: • Factor out a monomial

Lesson 13: Mastering Factoring		1. Factor quadratics 2. Factor polynomials Also consider: • Solve polynomial equations by factoring
Lesson 13: Mastering Factoring
1. Factor quadratics 2. Factor polynomials Also consider: • Solve polynomial equations by factoring

Lesson 14: Graphing Factored Polynomials		1. Graph a quadratic function 2. Match polynomials and graphs using zeros Also consider: • Match quadratic functions and graphs • Solve quadratic equations: word problems
Lesson 14: Graphing Factored Polynomials
1. Graph a quadratic function 2. Match polynomials and graphs using zeros Also consider: • Match quadratic functions and graphs • Solve quadratic equations: word problems

Lesson 15: Structure in Graphs of Polynomial Functions		1. Match polynomials and graphs using end behavior 2. Even and odd functions Also consider: • Characteristics of quadratic functions: graphs • Characteristics of quadratic functions: equations
Lesson 15: Structure in Graphs of Polynomial Functions
1. Match polynomials and graphs using end behavior 2. Even and odd functions Also consider: • Characteristics of quadratic functions: graphs • Characteristics of quadratic functions: equations

Lessons 16 & 17: Modeling with Polynomials – An Introduction		1. Domain and range of polynomials Also consider: • Domain and range of quadratic functions: graphs • Domain and range of quadratic functions: equations
Lessons 16 & 17: Modeling with Polynomials – An Introduction
1. Domain and range of polynomials Also consider: • Domain and range of quadratic functions: graphs • Domain and range of quadratic functions: equations

Lesson 18: Overcoming a Second Obstacle in Factoring – What If There Is a Remainder?		1. Divide polynomials using long division
Lesson 18: Overcoming a Second Obstacle in Factoring – What If There Is a Remainder?
1. Divide polynomials using long division

Lesson 19: The Remainder Theorem		1. Evaluate polynomials using synthetic division 2. Write a polynomial from its roots
Lesson 19: The Remainder Theorem
1. Evaluate polynomials using synthetic division 2. Write a polynomial from its roots

Lessons 20 & 21: Modeling Riverbeds with Polynomials		1. Identify graphs: word problems
Lessons 20 & 21: Modeling Riverbeds with Polynomials
1. Identify graphs: word problems
Topic C - Solving and Applying Equations – Polynomial, Rational, and Radical
Lesson 22: Equivalent Rational Expressions		1. Simplify rational expressions 2. Rational functions: identify excluded values from equations
Lesson 22: Equivalent Rational Expressions
1. Simplify rational expressions 2. Rational functions: identify excluded values from equations

Lesson 23: Comparing Rational Expressions		1. Evaluate rational expressions I 2. Evaluate rational expressions II
Lesson 23: Comparing Rational Expressions
1. Evaluate rational expressions I 2. Evaluate rational expressions II

Lesson 24: Multiplying and Dividing Rational Expressions		1. Multiply and divide rational expressions
Lesson 24: Multiplying and Dividing Rational Expressions
1. Multiply and divide rational expressions

Lesson 25: Adding and Subtracting Rational Expressions		1. Add and subtract rational expressions
Lesson 25: Adding and Subtracting Rational Expressions
1. Add and subtract rational expressions

Lesson 26: Solving Rational Equations		1. Solve rational equations
Lesson 26: Solving Rational Equations
1. Solve rational equations

Lesson 27: Word Problems Leading to Rational Equations
Lesson 27: Word Problems Leading to Rational Equations


Lesson 28: A Focus on Square Roots Lesson 29: Solving Radical Equations		1. Solve radical equations
Lesson 28: A Focus on Square Roots Lesson 29: Solving Radical Equations
1. Solve radical equations

Lesson 30: Linear Systems in Three Variables		1. Solve a system of equations using any method: word problems 2. Solve a system of equations in three variables using elimination 3. Write a quadratic function from three points Also consider: • Solve a system of equations in three variables using substitution • Solve a system of equations using substitution • Solve a system of equations using elimination
Lesson 30: Linear Systems in Three Variables
1. Solve a system of equations using any method: word problems 2. Solve a system of equations in three variables using elimination 3. Write a quadratic function from three points Also consider: • Solve a system of equations in three variables using substitution • Solve a system of equations using substitution • Solve a system of equations using elimination

Lesson 31: Systems of Equations		1. Solve a system of linear and quadratic equations by graphing: parabolas 2. Solve a system of linear and quadratic equations: parabolas 3. Solve a system of linear and quadratic equations: circles Also consider: • Is (x, y) a solution to the system of equations? • Solve a system of equations by graphing
Lesson 31: Systems of Equations
1. Solve a system of linear and quadratic equations by graphing: parabolas 2. Solve a system of linear and quadratic equations: parabolas 3. Solve a system of linear and quadratic equations: circles Also consider: • Is (x, y) a solution to the system of equations? • Solve a system of equations by graphing

Lesson 32: Graphing Systems of Equations		1. Distance formula 2. Convert equations of circles from general to standard form 3. Find properties of circles from equations in general form 4. Graph circles Also consider: • Solve a nonlinear system of equations
Lesson 32: Graphing Systems of Equations
1. Distance formula 2. Convert equations of circles from general to standard form 3. Find properties of circles from equations in general form 4. Graph circles Also consider: • Solve a nonlinear system of equations

Lesson 33: The Definition of a Parabola		1. Find the vertex of a parabola 2. Find the focus or directrix of a parabola 3. Graph parabolas Also consider: • Identify the direction a parabola opens • Find the axis of symmetry of a parabola
Lesson 33: The Definition of a Parabola
1. Find the vertex of a parabola 2. Find the focus or directrix of a parabola 3. Graph parabolas Also consider: • Identify the direction a parabola opens • Find the axis of symmetry of a parabola

Lesson 34: Are All Parabolas Congruent?		1. Write equations of parabolas in vertex form from graphs 2. Write equations of parabolas in vertex form using properties 3. Find properties of a parabola from equations in general form Also consider: • Convert equations of parabolas from general to vertex form
Lesson 34: Are All Parabolas Congruent?
1. Write equations of parabolas in vertex form from graphs 2. Write equations of parabolas in vertex form using properties 3. Find properties of a parabola from equations in general form Also consider: • Convert equations of parabolas from general to vertex form

Lesson 35: Are All Parabolas Similar?		1. Transformations of quadratic functions Also consider: • Function transformation rules • Describe function transformations
Lesson 35: Are All Parabolas Similar?
1. Transformations of quadratic functions Also consider: • Function transformation rules • Describe function transformations
Topic D - A Surprise from Geometry – Complex Numbers Overcome All Obstacles
Lesson 36: Overcoming a Third Obstacle to Factoring – What If There Are No Real Number Solutions?		1. Find the number of solutions to a system of equations
Lesson 36: Overcoming a Third Obstacle to Factoring – What If There Are No Real Number Solutions?
1. Find the number of solutions to a system of equations

Lesson 37: A Surprising Boost from Geometry		1. Introduction to complex numbers 2. Add and subtract complex numbers 3. Multiply complex numbers Also consider: • Powers of i • Write and graph complex numbers using the complex plane
Lesson 37: A Surprising Boost from Geometry
1. Introduction to complex numbers 2. Add and subtract complex numbers 3. Multiply complex numbers Also consider: • Powers of i • Write and graph complex numbers using the complex plane

Lesson 38: Complex Numbers as Solutions to Equations		1. Using the discriminant 2. Solve a quadratic equation using square roots 3. Solve a quadratic equation using the quadratic formula
Lesson 38: Complex Numbers as Solutions to Equations
1. Using the discriminant 2. Solve a quadratic equation using square roots 3. Solve a quadratic equation using the quadratic formula

Lesson 39: Factoring Extended to the Complex Realm		1. Complex conjugates 2. Complex conjugate theorem
Lesson 39: Factoring Extended to the Complex Realm
1. Complex conjugates 2. Complex conjugate theorem

Lesson 40: Obstacles Resolved – A Surprising Result		1. Solve polynomial equations 2. Fundamental Theorem of Algebra
Lesson 40: Obstacles Resolved – A Surprising Result
1. Solve polynomial equations 2. Fundamental Theorem of Algebra

2	Module 2 Trigonometric Functions
Topic A - The Story of Trigonometry and Its Contexts
Lesson 1: Ferris Wheels – Tracking the Height of a Passenger Car
Lesson 1: Ferris Wheels – Tracking the Height of a Passenger Car


Lesson 2: The Height and Co-Height Functions of a Ferris Wheel
Lesson 2: The Height and Co-Height Functions of a Ferris Wheel


Lesson 3: The Motion of the Moon, Sun, and Stars – Motivating Mathematics		1. Trigonometric ratios: sin, cos, and tan
Lesson 3: The Motion of the Moon, Sun, and Stars – Motivating Mathematics
1. Trigonometric ratios: sin, cos, and tan

Lesson 4: From Circle-ometry to Trigonometry		1. Special right triangles 2. Reference angles: up to 360 degrees 3. Sine and cosine of special angles: degrees
Lesson 4: From Circle-ometry to Trigonometry
1. Special right triangles 2. Reference angles: up to 360 degrees 3. Sine and cosine of special angles: degrees

Lesson 5: Extending the Domain of Sine and Cosine to All Real Numbers		1. Reference angles: degrees
Lesson 5: Extending the Domain of Sine and Cosine to All Real Numbers
1. Reference angles: degrees

Lesson 6: Why Call It Tangent?		1. Sin, cos, and tan of special angles: degrees 2. Find trigonometric ratios using the unit circle: sin, cos, and tan
Lesson 6: Why Call It Tangent?
1. Sin, cos, and tan of special angles: degrees 2. Find trigonometric ratios using the unit circle: sin, cos, and tan

Lesson 7: Secant and the Co-Functions		1. Trigonometric ratios: csc, sec, and cot 2. Sec, csc, and cot of special angles: degrees Also consider: • Trigonometric ratios in similar right triangles
Lesson 7: Secant and the Co-Functions
1. Trigonometric ratios: csc, sec, and cot 2. Sec, csc, and cot of special angles: degrees Also consider: • Trigonometric ratios in similar right triangles

Lesson 8: Graphing the Sine and Cosine Functions		1. Determine the period and amplitude of a periodic function: degrees Also consider: • Graph sine and cosine functions: degrees
Lesson 8: Graphing the Sine and Cosine Functions
1. Determine the period and amplitude of a periodic function: degrees Also consider: • Graph sine and cosine functions: degrees

Lesson 9: Awkward! Who Chose the Number 360, Anyway?		1. Convert between radians and degrees 2. Find trigonometric ratios using reference angles Also consider: • Radians and arc length • Find trigonometric ratios using the unit circle
Lesson 9: Awkward! Who Chose the Number 360, Anyway?
1. Convert between radians and degrees 2. Find trigonometric ratios using reference angles Also consider: • Radians and arc length • Find trigonometric ratios using the unit circle

Lesson 10: Basic Trigonometric Identities from Graphs		1. Sine and cosine of complementary angles 2. Symmetry and periodicity of sine and cosine functions
Lesson 10: Basic Trigonometric Identities from Graphs
1. Sine and cosine of complementary angles 2. Symmetry and periodicity of sine and cosine functions
Topic B - Understanding Trigonometric Functions and Putting Them to Use
Lesson 11: Transforming the Graph of the Sine Function		1. Find properties of sine functions 2. Graph translations of sine functions Also consider: • Find properties of cosine functions • Graph translations of cosine functions
Lesson 11: Transforming the Graph of the Sine Function
1. Find properties of sine functions 2. Graph translations of sine functions Also consider: • Find properties of cosine functions • Graph translations of cosine functions

Lesson 12: Ferris Wheels – Using Trigonometric Functions to Model Cyclical Behavior		1. Find trigonometric functions using a calculator 2. Write equations of sine and cosine functions from graphs 3. Write equations of sine and cosine functions using properties
Lesson 12: Ferris Wheels – Using Trigonometric Functions to Model Cyclical Behavior
1. Find trigonometric functions using a calculator 2. Write equations of sine and cosine functions from graphs 3. Write equations of sine and cosine functions using properties

Lesson 13: Tides, Sound Waves, and Stock Markets
Lesson 13: Tides, Sound Waves, and Stock Markets


Lesson 14: Graphing the Tangent Function		1. Symmetry and periodicity of sine, cosine, and tangent functions
Lesson 14: Graphing the Tangent Function
1. Symmetry and periodicity of sine, cosine, and tangent functions

Lesson 15: What Is a Trigonometric Identity?		1. Pythagorean identities: sine and cosine
Lesson 15: What Is a Trigonometric Identity?
1. Pythagorean identities: sine and cosine

Lesson 16: Proving Trigonometric Identities		1. Find trigonometric ratios using a Pythagorean or reciprocal identity Also consider: • Solve trigonometric equations I
Lesson 16: Proving Trigonometric Identities
1. Find trigonometric ratios using a Pythagorean or reciprocal identity Also consider: • Solve trigonometric equations I

Lesson 17: Trigonometric Identity Proofs		1. Find trigonometric ratios using multiple identities Also consider: • Trigonometric sum and difference identities • Solve trigonometric equations using sum and difference identities • Solve trigonometric equations II
Lesson 17: Trigonometric Identity Proofs
1. Find trigonometric ratios using multiple identities Also consider: • Trigonometric sum and difference identities • Solve trigonometric equations using sum and difference identities • Solve trigonometric equations II

3	Module 3 Exponential and Logarithmic Functions
Topic A - Real Numbers
Lesson 1: Integer Exponents
Lesson 1: Integer Exponents


Lesson 2: Base 10 and Scientific Notation		1. Add, subtract, multiply, and divide numbers written in scientific notation
Lesson 2: Base 10 and Scientific Notation
1. Add, subtract, multiply, and divide numbers written in scientific notation

Lesson 3: Rational Exponents – What are 2^½ and 2^⅓ ?		1. Evaluate rational exponents
Lesson 3: Rational Exponents – What are 2^½ and 2^⅓ ?
1. Evaluate rational exponents

Lesson 4: Properties of Exponents and Radicals		1. Multiplication with rational exponents 2. Convert between rational exponents and radicals 3. Division with rational exponents 4. Power rule 5. Simplify expressions involving rational exponents I Also consider: • Simplify radical expressions with variables II • Simplify expressions involving rational exponents II
Lesson 4: Properties of Exponents and Radicals
1. Multiplication with rational exponents 2. Convert between rational exponents and radicals 3. Division with rational exponents 4. Power rule 5. Simplify expressions involving rational exponents I Also consider: • Simplify radical expressions with variables II • Simplify expressions involving rational exponents II

Lesson 5: Irrational Exponents – What are 2^√2 and 2^𝜋 ?
Lesson 5: Irrational Exponents – What are 2^√2 and 2^𝜋 ?


Lesson 6: Euler's Number, e		1. Average rate of change
Lesson 6: Euler's Number, e
1. Average rate of change
Topic B - Logarithms
Lesson 7: Bacteria and Exponential Growth		1. Solve exponential equations by rewriting the base
Lesson 7: Bacteria and Exponential Growth
1. Solve exponential equations by rewriting the base

Lesson 8: The "WhatPower" Function		1. Convert between exponential and logarithmic form: rational bases 2. Evaluate logarithms
Lesson 8: The "WhatPower" Function
1. Convert between exponential and logarithmic form: rational bases 2. Evaluate logarithms

Lesson 9: Logarithms – How Many Digits Do You Need?
Lesson 9: Logarithms – How Many Digits Do You Need?


Lesson 10: Building Logarithmic Tables		1. Evaluate logarithms using a calculator
Lesson 10: Building Logarithmic Tables
1. Evaluate logarithms using a calculator

Lesson 11: The Most Important Property of Logarithms		1. Product property of logarithms: whole number and variable bases
Lesson 11: The Most Important Property of Logarithms
1. Product property of logarithms: whole number and variable bases

Lesson 12: Properties of Logarithms		1. Product and quotient property of logarithms: whole number and variable bases 2. Power property of logarithms: whole number and variable bases 3. Solve exponential equations using common logarithms Also consider: • Properties of logarithms
Lesson 12: Properties of Logarithms
1. Product and quotient property of logarithms: whole number and variable bases 2. Power property of logarithms: whole number and variable bases 3. Solve exponential equations using common logarithms Also consider: • Properties of logarithms

Lesson 13: Changing the Base		1. Change of base formula 2. Convert between natural exponential and logarithmic form 3. Evaluate natural logarithms 4. Identify properties of logarithms Also consider: • Solve exponential equations using natural logarithms • Properties of logarithms: mixed review • Evaluate logarithms using properties
Lesson 13: Changing the Base
1. Change of base formula 2. Convert between natural exponential and logarithmic form 3. Evaluate natural logarithms 4. Identify properties of logarithms Also consider: • Solve exponential equations using natural logarithms • Properties of logarithms: mixed review • Evaluate logarithms using properties

Lesson 14: Solving Logarithmic Equations		1. Solve logarithmic equations I
Lesson 14: Solving Logarithmic Equations
1. Solve logarithmic equations I

Lesson 15: Why Were Logarithms Developed?		1. Solve logarithmic equations II
Lesson 15: Why Were Logarithms Developed?
1. Solve logarithmic equations II
Topic C - Exponential and Logarithmic Functions and their Graphs
Lesson 16: Rational and Irrational Numbers		1. Compare and order real numbers 2. Properties of operations on rational and irrational numbers
Lesson 16: Rational and Irrational Numbers
1. Compare and order real numbers 2. Properties of operations on rational and irrational numbers

Lesson 17: Graphing the Logarithm Function		1. Graph logarithmic functions 2. Composition of linear functions: find an equation 3. Composition of linear and quadratic functions: find an equation
Lesson 17: Graphing the Logarithm Function
1. Graph logarithmic functions 2. Composition of linear functions: find an equation 3. Composition of linear and quadratic functions: find an equation

Lesson 18: Graphs of Exponential Functions and Logarithmic Functions		1. Domain and range of logarithmic functions 2. Graph exponential functions
Lesson 18: Graphs of Exponential Functions and Logarithmic Functions
1. Domain and range of logarithmic functions 2. Graph exponential functions

Lesson 19: The Inverse Relationship Between Logarithmic and Exponential Functions		1. Identify inverse functions 2. Find inverse functions and relations Also consider: • Find values of inverse functions from tables • Find values of inverse functions from graphs
Lesson 19: The Inverse Relationship Between Logarithmic and Exponential Functions
1. Identify inverse functions 2. Find inverse functions and relations Also consider: • Find values of inverse functions from tables • Find values of inverse functions from graphs

Lesson 20: Transformations of the Graphs of Logarithmic and Exponential Functions		1. Match exponential functions and graphs
Lesson 20: Transformations of the Graphs of Logarithmic and Exponential Functions
1. Match exponential functions and graphs

Lesson 21: The Graph of the Natural Logarithm Function
Lesson 21: The Graph of the Natural Logarithm Function


Lesson 22: Choosing a Model		1. Identify linear, quadratic, and exponential functions from graphs 2. Identify linear, quadratic, and exponential functions from tables Also consider: • Find the equation of a regression line • Analyze a regression line of a data set
Lesson 22: Choosing a Model
1. Identify linear, quadratic, and exponential functions from graphs 2. Identify linear, quadratic, and exponential functions from tables Also consider: • Find the equation of a regression line • Analyze a regression line of a data set
Topic D - Using Logarithms in Modeling Situations
Lesson 23: Bean Counting		1. Exponential regression
Lesson 23: Bean Counting
1. Exponential regression

Lesson 24: Solving Exponential Equations		1. Solve exponential equations using logarithms
Lesson 24: Solving Exponential Equations
1. Solve exponential equations using logarithms

Lesson 25: Geometric Sequences and Exponential Growth and Decay		1. Write a formula for a geometric sequence 2. Convert between explicit and recursive formulas: geometric sequences Also consider: • Find terms of a geometric sequence • Evaluate explicit formulas for sequences • Write a formula for a recursive sequence
Lesson 25: Geometric Sequences and Exponential Growth and Decay
1. Write a formula for a geometric sequence 2. Convert between explicit and recursive formulas: geometric sequences Also consider: • Find terms of a geometric sequence • Evaluate explicit formulas for sequences • Write a formula for a recursive sequence

Lesson 26: Percent Rate of Change		1. Exponential functions over unit intervals 2. Compound interest: word problems 3. Continuously compounded interest: word problems Also consider: • Compound interest: find the balance • Continuously compounded interest: find the balance or principal
Lesson 26: Percent Rate of Change
1. Exponential functions over unit intervals 2. Compound interest: word problems 3. Continuously compounded interest: word problems Also consider: • Compound interest: find the balance • Continuously compounded interest: find the balance or principal

Lesson 27: Modeling with Exponential Functions		1. Write exponential functions from tables 2. Write exponential functions: word problems 3. Exponential growth and decay: word problems
Lesson 27: Modeling with Exponential Functions
1. Write exponential functions from tables 2. Write exponential functions: word problems 3. Exponential growth and decay: word problems

Lesson 28: Newton's Law of Cooling, Revisited
Lesson 28: Newton's Law of Cooling, Revisited

Topic E - Geometric Series and Finance
Lesson 29: The Mathematics Behind a Structured Savings Plan		1. Introduction to sigma notation 2. Find the sum of a finite geometric series
Lesson 29: The Mathematics Behind a Structured Savings Plan
1. Introduction to sigma notation 2. Find the sum of a finite geometric series

Lesson 30: Buying a Car Lesson 31: Credit Cards Lesson 32: Buying a House Lesson 33: The Million Dollar Problem
Lesson 30: Buying a Car Lesson 31: Credit Cards Lesson 32: Buying a House Lesson 33: The Million Dollar Problem

4	Module 4 Inferences and Conclusions from Data
Topic A - Probability
Lesson 1: Chance Experiments, Sample Spaces, and Events		1. Outcomes of compound events 2. Experimental probability 3. Theoretical probability Also consider: • Probability of simple events and opposite events • Probability of mutually exclusive events and overlapping events
Lesson 1: Chance Experiments, Sample Spaces, and Events
1. Outcomes of compound events 2. Experimental probability 3. Theoretical probability Also consider: • Probability of simple events and opposite events • Probability of mutually exclusive events and overlapping events

Lesson 2: Calculating Probabilities of Events Using Two-Way Tables		1. Find probabilities using two-way frequency tables
Lesson 2: Calculating Probabilities of Events Using Two-Way Tables
1. Find probabilities using two-way frequency tables

Lessons 3 & 4: Calculating Conditional Probabilities and Evaluating Independence Using Two-Way Tables		1. Unions and intersections of sets 2. Find conditional probabilities using two-way frequency tables 3. Identify independent events 4. Independence and conditional probability
Lessons 3 & 4: Calculating Conditional Probabilities and Evaluating Independence Using Two-Way Tables
1. Unions and intersections of sets 2. Find conditional probabilities using two-way frequency tables 3. Identify independent events 4. Independence and conditional probability

Lesson 5: Events and Venn Diagrams
Lesson 5: Events and Venn Diagrams


Lessons 6 & 7: Probability Rules		1. Probability of independent and dependent events 2. Find probabilities using the addition rule
Lessons 6 & 7: Probability Rules
1. Probability of independent and dependent events 2. Find probabilities using the addition rule
Topic B - Modeling Data Distributions
Lesson 8: Distributions – Center, Shape, and Spread		1. Variance and standard deviation
Lesson 8: Distributions – Center, Shape, and Spread
1. Variance and standard deviation

Lesson 9: Using a Curve to Model a Data Distribution		1. Identify an outlier and describe the effect of removing it
Lesson 9: Using a Curve to Model a Data Distribution
1. Identify an outlier and describe the effect of removing it

Lessons 10 & 11: Normal Distributions		1. Find probabilities using the normal distribution II 2. Find z-values 3. Find values of normal variables Also consider: • Find probabilities using the normal distribution I
Lessons 10 & 11: Normal Distributions
1. Find probabilities using the normal distribution II 2. Find z-values 3. Find values of normal variables Also consider: • Find probabilities using the normal distribution I
Topic C - Drawing Conclusions Using Data from a Sample
Lesson 12: Types of Statistical Studies		1. Identify biased samples
Lesson 12: Types of Statistical Studies
1. Identify biased samples

Lesson 13: Using Sample Data to Estimate a Population Characteristic		1. Identify representative, random, and biased samples
Lesson 13: Using Sample Data to Estimate a Population Characteristic
1. Identify representative, random, and biased samples

Lessons 14 & 15: Sampling Variability in the Sample Proportion
Lessons 14 & 15: Sampling Variability in the Sample Proportion


Lessons 16 & 17: Margin of Error When Estimating a Population Proportion
Lessons 16 & 17: Margin of Error When Estimating a Population Proportion


Lessons 18 & 19: Sampling Variability in the Sample Mean
Lessons 18 & 19: Sampling Variability in the Sample Mean


Lessons 20 & 21: Margin of Error When Estimating a Population Mean		1. Distributions of sample means
Lessons 20 & 21: Margin of Error When Estimating a Population Mean
1. Distributions of sample means

Lesson 22: Evaluating Reports Based on Data from a Sample		1. Interpret confidence intervals for population means
Lesson 22: Evaluating Reports Based on Data from a Sample
1. Interpret confidence intervals for population means
Topic D - Drawing Conclusions Using Data from an Experiment
Lesson 23: Experiments and the Role of Random Assignment		1. Experiment design
Lesson 23: Experiments and the Role of Random Assignment
1. Experiment design

Lesson 24: Differences Due to Random Assignment Alone
Lesson 24: Differences Due to Random Assignment Alone


Lessons 25–27: Ruling Out Chance		1. Analyze the results of an experiment using simulations
Lessons 25–27: Ruling Out Chance
1. Analyze the results of an experiment using simulations

Lessons 28 & 29: Drawing a Conclusion from an Experiment
Lessons 28 & 29: Drawing a Conclusion from an Experiment


Lesson 30: Evaluating Reports Based on Data from an Experiment
Lesson 30: Evaluating Reports Based on Data from an Experiment

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