Alignment of Khan Academy Lessons/Practice Sets with the Michigan Professional Readiness Exam 
                                                                         (Mathematics) and Applied Tasks* 
                   Course Topic           Khan Videos                                Khan Practice Sets                         Michigan Professional            Applied Tasks 
                                                                                                                                Readiness Objectives  
                                                                                                                                 
                   Algebraic Expressions                                                                                        Objectives:  010, 012             
                   Defining and Using     What is a Variable?                                                                                                    Are We Alone?  Task 
                   Variables                                                                                                            Constructing and        Involving Formulas 
                                                                                                                                         interpreting             
                   Evaluating Algebraic   Evaluating Expressions With Two            Evaluating Expressions in One Variable              algebraic expressions   Skeleton Tower 
                   Expressions            Variables                                  Evaluating Expressions in Two Variables            Solving problems        Problem 
                                                                                                                                         involving                
                                                                                                                                         manipulation of          
                   Translating words                                                 Writing Expressions 1                               algebraic expressions 
                   into Algebra                                                      Writing Expressions 2                              Demonstrating 
                   Using Formulas         Rearrange Formulas to Isolate a Variable   Solving Equations in Terms of a Variable            knowledge of linear, 
                                          Solving for a Variable                                                                         quadratic, 
                                          Solving for a Variable 2                                                                       polynomial, and 
                                                                                                                                         rational equations 
                                                                                                                                         and inequalities 
                                                                                                                                OBJECTIVE 010 
                   Logarithms             http://www.khanacademy.org/math/algeb                                                         Solving problems         
                                          ra/logarithms-                                                                                 involving exponential 
                                          tutorial/logarithm_basics/v/logarithms                                                         and logarithmic 
                                                                                                                                         functions 
                                                                                                                                OBJECTIVE 012 
                                                                                                                                 
                                                                                                                                 
                                                                                                                                 
                                                                                                                                 
                                                                                                                                                         
                                                                                  
                   Functions                                                                                                        Objectives: 011, 012               
                   Definition of            Intro to Functions                                                                              Recognizing              Painting by Functions 
                   Function                 Functional Relationships 1                                                                       definitions and           
                                            Testing if a Relationship is a Function                                                          representations of       Equation Matcher 
                   Evaluating Functions     Function Example Problems                                                                        functions including       
                                            Evaluating a Function                                                                            piecewise functions      Motion Capture 
                   Graphs of Functions      Functions as Graphs                         Understanding Graphs of Functions                    and recursive             
                                            Graphing a Basic Function                   Views of a Function                                  functions                 
                                                                                                                                            Solving problems          
                   Domain and Range         Domain of a Function                        Domain of a Function                                 involving operations 
                                            Domain and Range of a Relation              Range of a Function                                  on functions              
                                            Domain and Range of a Function Given a      Domain and Range                                    Recognizing               
                                            Formula                                                                                          functions as applied      
                   Operations on            Functions Part 2                            Evaluating Expressions With Function                 to real world 
                   Functions                Sum of Functions                            Notation                                             situations                
                                            Difference of Functions                     Evaluating Composite Functions                      Solving problems          
                                            Product of Functions                        Inverses of Functions                                involving power           
                                            Quotient of Functions                                                                            functions 
                                                                                                                                            Solving problems 
                                                                                                                                             involving rationale 
                   Inverse Functions        Introduction to Function Inverses                                                                functions 
                                            Function Inverse Example 1                                                               
                                            Function Inverse Example 2                                                              OBJECTIVES 011 & 012 
                                            Function Inverse Example 3                                                               
                                                                                                                                     
                                                                                                                                     
                                                                                         
                                                                                         
                                                                                         
                                                                                         
                                                                                         
                                                                                         
                                                                                         
                                                                                         
                                                                                         
                                                                                                                                             
                                                                            
                  Arithmetic                                                                                              REFRESHER MATH USED THROUGHOUT 
                  Adding/Subtracting    Adding Integers With Different Signs     Adding Negative Numbers                                                  The Locker Problem 
                  Integers              Adding Negative Numbers                  Adding and Subtracting Negative                                           
                                                                                 Numbers                                                                  Number Rules 
                  Multiplying/Dividing                                                                                                                     
                  Integers              Multiplying Negative Real Numbers        Multiplying and Dividing Negative                                        Never Prime 
                                        Dividing Positive and Negative Numbers   Numbers                                                                   
                                        Multiplying Numbers With Different       Negative Number Word Problems                                            Adding and 
                                        Signs                                                                                                             Subtracting Signed 
                                                                                                                                                          Numbers 
                  Rounding Numbers      Rounding Decimals                        Rounding Numbers                          
                                                                                                                           
                                                                                  
                  Number Line           Points on a Number Line                  Decimals on the Number Line               
                                                                                                                           
                                                                                  
                  Square Roots          Approximating Square Roots               Square Roots                              
                                                                                 Square Roots 2  
                                                                                  
                                                                                  
                  Fractions             Identifying Fraction Parts               Fraction Word Problems                   REFRESHER MATH USED THROUGHOUT 
                                         (conceptual help)                        (conceptual help) 
                  Adding/Subtracting    Adding and Subtracting Fractions         Adding and Subtracting Fractions                                         Multiplying Fractions 
                  Fractions                                                                                                                               Word Problems 
                                                                                                                                                           
                  Multiplying           Multiplying Fractions                    Multiplying Fractions                                                    Dividing Fractions 
                  Fractions                                                                                                                               Word Problems 
                                                                                                                                                           
                  Dividing Fractions    Dividing Fractions                       Dividing Fractions                                                       Fair Shares- Open-
                                                                                                                                                          Ended Word Problem 
                                                                                                                                                           
                                                                                                                                                          Fractions Jigsaw 
                                                                                                                                                           
                                                                                                                                                           
                                                                                                                                                           
                                                                                                                                                           
                                                                                                                                                           
                                                                                                                                                           
                                                                                                                                                           
                                                                                                                                                  
                                                                                                                              REFRESHER MATH USED THROUGHOUT 
                  Decimals and Percents 
                  Place Value            Decimal Place Value                        Understanding Decimal’s Place Value                                       Adding and 
                  Adding/Subtracting     Adding Decimals                            Adding Decimals                                                           Subtracting Decimals 
                  Decimals               Subtracting Decimals                       Subtracting Decimals                                                      Word Problems 
                  Multiplying/Dividing   Multiplying Decimals                       Multiplying Decimals                                                       
                  Decimals               Dividing Decimals                          Dividing Decimals 2                                                       Money Word Problem 
                  Solving Percent        Describing the Meaning of Percent          Percentage Word Problems 1                                                 
                  Problems               Taking Percentages                         Percentage Word Problems 2                                                Another Money Word 
                  Equating Decimals,     Representing a Number as a Decimal,        Converting Decimals to Fractions 1                                        Problem 
                  Percents, Fractions    Percent, and Fraction                      Converting Decimals to Percents                                            
                  Simplifying Rates      Simplifying Rates and Ratios               Ratio Word Problems                                                       Net Points:  Rates and 
                  and Ratios                                                                                                                                  Ratios Activity 
                                                                                                                                                               
                                                                                                                                                              Math in Special Effects: 
                                                                                                                                                              Ratios Problem 
                                                                                                                                                               
                                                                                                                                                               
                  Real Numbers                                                                                                REFRESHER MATH USED THROUGHOUT 
                  Absolute Value         Absolute Value and Number Lines            Absolute Value                                                            Working with 
                                                                                                                                                              Irrational Numbers 
                  Order of Operations    Order of Operations 1                      Order of Operations                                                        
                  Simplifying Exp.                                                                                                                             
                                                                                                                                                               
                   
                   
                   
                                                                                                                              REFRESHER MATH USED THROUGHOUT 
                  Exponents and Roots 
                  Multiplying/Dividing   Multiplying and Dividing Monomials 1       Simplifying Rational Expressions 1                                        Ponzi Schemes 
                  Monomials              Multiplying and Dividing Monomials 2                                                                                 Problem 
                                         Multiplying and Dividing Monomials 3                                                                                  
                                                                                                                                                              Big and Small Numbers 
                  Evaluating Rational    Radical Equivalent to Rational Exponents   Exponents                                                                 in the Physical World 
                  Exponents/Roots                                                                                                                              
                                                                                                                                                              Negative Power