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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
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