Algebra I Unit Report Summary
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1 Algebra I Unit Report Summary No. Objective Code NCTM Standards Objective Title Real Numbers and Variables Unit - ( Ascend Default unit) 1. A01_01_01 H-A-B.1 Word Phrases As Algebraic Expressions 2. A01_01_02 H-A-B.1 Values Of Algebraic Expressions 3. A01_02_01 H-N-A.1 Order Of Operations 4. A01_02_02 H-N-A.1 Substitution To Order To Evaluate Expressions 5. A01_03_01 H-N-A.1 Common Sets Of Real Numbers And Number Line 6. A01_04_01 H-N-A.2 Meaning Of <,>, And = 7. A01_04_02 H-N-A.2 Compare And Order Real Numbers 8. A01_05_01 H-N-B.1 Exponential Expressions Real Number Operations Unit - ( Ascend Default unit) 1. A02_01_01 H-N-B.1 Real Numbers On A Number Line 2. A02_02_01 H-N-B.1 Absolute Value 3. A02_02_02 H-N-B.1 Adding Real Numbers 4. A02_03_01 H-N-B.1 Opposite Of A Real Number 5. A02_03_02 H-N-B.1 Subtracting Real Numbers 6. A02_04_01 H-N-B.1 Multiplying Real Numbers 7. A02_05_01 H-N-B.1 Dividing Real Numbers 8. A02_06_01 H-N-A.2 Properties Of Real Numbers Algebraic Expressions Unit - ( Ascend Default unit) 1. A03_01_01 H-A-B.1 Evaluate Expressions 2. A03_01_02 H-A-B.1 Replacement Values 3. A03_02_01 H-A-B.1 Like Terms 4. A03_03_01 H-A-B.1 Simplify Algebraic Expressions Solving Equations Unit - ( Ascend Default unit) 1. A04_01_01 H-A-B.5 Solution Set 2. A04_02_01 H-A-B.1, H-A-B.2 Addition And Subtraction Properties 3. A04_03_01 H-A-B.1, H-A-B.2 Multiplication And Division Properties 4. A04_04_01 H-A-B.1, H-A-B.2 More Than One Property 5. A04_05_01 H-A-B.1, H-A-B.2 Variables On Both Sides Of The Equal Sign
2 6. A04_06_01 H-A-B.2, H-A-B.3 Percent Problems 7. A04_07_01 H-A-B.2, H-A-B.3 Literal Equations 8. A04_08_01 H-A-B.2, H-A-B.3 Solving Absolute Value Equations Problem Solving Unit - ( Ascend Default unit) 1. A05_01_01 H-A-B.2, H-M-B.1 Solve Word Problems 2. A05_02_01 H-A-B.2, H-A-B.3 Write Equations 3. A05_03_01 H-A-B.2, H-M-B.1 Geometric Formulas 4. A05_04_01 H-A-B.2, H-A-B.3 Problems Involving Percent 5. A05_05_01 H-A-B.2, H-A-B.3 Problems Involving Mixtures 6. A05_06_01 H-A-B.2, H-A-B.3, H-M-B.1 Formula D = RT Solving Inequalities Unit - ( Ascend Default unit) 1. A06_01_01 H-A-A.6, H-G-B.2 Graph Inequalities On A Number Line 2. A06_02_01 H-A-B.1, H-A-B.2 Addition And Subtraction Properties For Inequalities 3. A06_03_01 H-A-B.1, H-A-B.2 Multiplication And Division Properties For Inequalities 4. A06_04_01 H-A-B.1, H-A-B.2 Inequalities Using More Than One Property 5. A06_05_01 H-A-B.1, H-A-B.2 Combined Inequalities And Graph Their Solution Sets 6. A06_06_01 H-A-B.2, H-A-B.3 Inequalities Containing The Absolute Value Of A Variable Expression Exponents Units - ( Ascend Default unit) 1. A07_01_01 H-A-A.5, H-N-B.1 Define An Exponent 2. A07_01_02 H-A-A.5, H-N-B.1 Product Rule For Exponents 3. A07_01_03 H-A-A.5, H-N-B.1 Identify And Multiply Monomials 4. A07_02_01 H-A-A.5, H-N-B.1 Raise A Monomial To A Power 5. A07_03_01 H-A-A.5, H-N-B.1 Divide Monomials 6. A07_04_01 H-A-A.5, H-N-B.1 Simplify Exponential Expressions 7. A07_05_01 H-A-A.5, H-N-A.1 Scientific Notation 8. A07_05_02 H-A-A.5, H-N-A.1 Convert Numbers from Scientific Notation to Standard Form Polynomial Operations Unit - ( Ascend Default unit) 1. A08_01_01 H-A-A.5 Degree Of A Polynomial 2. A08_01_02 H-A-A.5 Combining Like Terms 3. A08_02_01 H-A-A.5 Add Polynomials 4. A08_02_02 H-A-A.5 Subtract Polynomials 5. A08_03_01 H-A-A.5 Multiplying Monomials and Polynomials
3 6. A08_04_01 H-A-A.5 FOIL Order Of Multiplication 7. A08_05_01 H-A-A.5 Square Binomials 8. A08_05_02 H-A-A.5 Product Of The Sum And Difference Of The Same Two Terms 9. A08_06_01 H-A-A.5 Divide Polynomials Polynomial Factoring Unit - ( Ascend Default unit) 1. A09_01_01 H-N-A.2 Product Of Prime Numbers 2. A09_01_02 H-N-A.2 Greatest Common Factor Of A List Of Integers 3. A09_02_01 H-A-A.5 GCF Of A List Of Monomials 4. A09_02_02 H-A-A.5 The GCF From A Polynomial 5. A09_03_01 H-A-A.5 Common Binomials 6. A09_03_02 H-A-A.5 Factor Polynomials By Grouping The Terms 7. A09_04_01 H-A-A.5 Difference Of Two Squares 8. A09_05_01 H-A-A.5 The Form x^2 + bx + c 9. A09_06_01 H-A-A.5 The Form ax^2 + bx + c 10. A09_07_01 H-A-A.5 Factor A Polynomial Completely 11. A09_08_01 H-A-B.2, H-N-A.2 Solve Equations By Factoring Rational Expressions Unit - ( Ascend Default unit) 1. A10_01_01 H-N-A.2, H-A-A.5 Define Rational Expressions And Identify Values For Which One Is Undefined 2. A10_01_02 H-N-A.2, H-A-A.5 Write A Rational Expression In Lowest Terms 3. A10_02_01 H-N-A.2, H-A-A.5 Multiply Rational Expressions 4. A10_03_01 H-N-A.2, H-A-A.5 Divide Rational Expressions 5. A10_04_01 H-N-A.2, H-A-A.5 Least Common Denominator Of A List Of Rational Expressions 6. A10_04_02 H-N-A.2, H-A-A.5 Write A Rational Expression As An Equivalent Rational Expression 7. A10_05_01 H-A-A.5, H-N-B.1 Add And Subtract Rational Expressions With The Same Denominators 8. A10_06_01 H-A-A.5, H-N-B.1 Add And Subtract Rational Expressions With Different Denominators 9. A10_07_01 H-A-A.5, H-N-B.1 Add, Subtract, Multiply, And Divide Rational Expressions 10. A10_08_01 H-N-A.2, H-A-A.5 Define And Simplify Complex Fractions 11. A10_09_01 H-A-B.3 Solve Equations Containing Rational Expressions Graphing Linear Equations and Inequalities Unit - ( Ascend Default unit) 1. A11_01_01 H-G-B.1 Graph Ordered Pairs 2. A11_01_02 H-G-B.1 Solutions Of Linear Equations In Two Variables 3. A11_02_01 H-A-A.6, H-G-B.2 Linear Equation In Two Variables 4. A11_03_01 H-G-B.1, H-A-A.2 Graph Linear Equations From Their X- And Y-Intercepts 5. A11_06_01 H-A-A.6, H-G-B.2 Linear Inequalities In Two Variables
4 Functions Unit - ( Ascend Default unit) 1. A11_04_01 H-A-A.2 The Domain And Range Of A Relation 2. A11_05_01 H-A-A.2 The Domain And Range Of A Function 3. A11_05_02 H-A-A.2 Vertical Line Test 4. A11_05_03 H-A-A.2 Function Notation. Slope and Forms of Linear Equations Unit - ( Ascend Default unit) 1. A12_01_01 H-A-A.3 Slope Of A Line Given Two Points 2. A12_02_01 H-A-A.3 Slope-Intercept Form To Graph A Linear Equation 3. A12_02_02 H-A-A.3 Equation Of A Line Given Its Slope And Y-Intercept 4. A12_02_03 H-A-A.3 Two Lines Are Parallel 5. A12_03_01 H-A-A.3 Equation Of A Line, Given Its Slope And Coordinates Of One Point 6. A12_04_01 H-A-A.3 Equation Of A Line, Given The Coordinates Of 2 Points Of The Line 7. A12_04_02 H-A-A.3 Equation Of A Line Parallel To A Given Line And Through A Given Point Systems of Linear Equations Unit - ( Ascend Default unit) 1. A13_01_01 H-A-A.6, H-G-B.2 Solve A System Of Linear Equations By Graphing 2. A13_02_01 H-A-B.2 Substitution To Solve A System Of Linear Equations 3. A13_03_01 H-A-B.2 The Addition Method To Solve A System Of Linear Equations 4. A13_04_01 H-A-B.2 Multiplication With The Addition Method Roots and Radical Expressions Unit A - ( Ascend Default unit) 1. A14_01_01 H-N-B.1 Square Roots Of Perfect Squares 2. A14_01_02 H-N-B.1 Rational And Irrational Numbers 3. A14_02_01 H-N-B.1 The Product Rule And The Quotient Rule 4. A14_03_01 H-N-B.1 Simplify Square Roots 5. A14_04_01 H-N-B.1 Add And Subtract Like Radicals 6. A14_04_02 H-N-B.1 Simplify Radical Expressions 7. A14_05_01 H-N-B.1 Multiply And Simplify Radicals Roots and Radical Expressions Unit B - ( Ascend Default unit) 1. A15_01_01 H-N-B.1 Divide And Simplify Radicals 2. A15_02_01 H-N-B.1 Rationalize Denominators 3. A15_03_01 H-N-B.1, H-A-B.2 Equations Containing Square Roots Of Variable Expressions 4. A15_04_01 H-M-B.1, H-G-A.1 The Pythagorean Formula
5 5. A15_05_01 H-G-B.2, H-M-B.1 The Distance Formula To Find The Distance Between Two Points Solving Quadratic Equations Unit - ( Ascend Default unit) 1. A16_01_01 H-N-A.2 The Factoring Method For Solving Equations 2. A16_01_02 H-N-A.2, H-A-B.2 The Square Root Property To Solve Equations 3. A16_02_01 H-N-A.2, H-A-B.2 Perfect Square Trinomials 4. A16_02_02 H-N-A.2, H-A-B.2 Quadratic Equation By Completing The Square 5. A16_03_01 H-N-A.2, H-A-B.2 Quadratic Equations Using The Quadratic Formula
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