alg 2 scope and sequence 1 quarter 2012-2013

March 20, 2018 | Author: api-146361236 | Category: Quadratic Equation, System Of Linear Equations, Equations, Factorization, Exponential Function


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Larson Algebra 2 - Standard CorrelationStandards NOT addressed by Larson Algebra 2: A2.1.5: Determine and interpret maximum and minimum values for quadratic equations A2.3.1: Use the definition of logarithms to translate between logarithms in any base; A2.5.4a Solve equations and inequalities involving absolute values of linear expressions ; A2.5.7: Determine the type of function that best fits the context of a basic application (e.g., linear to solve distance/time problems; quadratic to explain the motion of a falling object, exponential; to model bacteria growth, piece-wise to model postage rates, or absolute value functions to represent distance from the mean); 1st Quarter Chapter 1: Equations & Inequalities Lesson 1.1 Apply Properties of Real Numbers (Pgs 2 – 9) Lesson 1.2 Evaluate & Simplify Algebraic Expressions (Pgs 10 – 16) Review of: Lesson 1.3 Solve Linear Equations (Pgs 18 – 25) Review of: Lesson 1.4 Rewrite Formulas & Equations (Pgs 26 – 32) Review of: Lesson 1.1-1.4 : Mixed Review of Problem Solving(Pg 33) Lesson 1.5 Use Problem Solving Strategies & Models (Pgs 34 – 40) Lesson 1.6 Solve Linear Inequalities (Pgs 41 – 50) Review of: DoDEA Standard Correlation No DODEA Algebra 2 Standard A1.1.5 Explain and use the laws of exponents, including fractional and integral exponents; (Algebra 1) A1.1.4 Solve simple equations in one variable using inverse relationships between operations such as addition and subtraction (taking the opposite), multiplication and division (multiplying by the reciprocal), raising to a power and taking a root; A1.1.4 Solve simple equations in one variable using inverse relationships between operations such as addition and subtraction (taking the opposite), multiplication and division (multiplying by the reciprocal), raising to a power and taking a root; Additional Resources to Support the DoDEA Standards Animated Algebra: Order of Operations Formula Explorer Distance and Time Linear Inequalities Absolute Value Equations and Inequalities Solve Liner Equations Tutorials: Rules of Exponents Linear Inequalities Absolute Value Inequalities Solving and graphing multi-step inequalities Inequalities with no solutions or all real numbers as solutions Solving absolute value equations Checking for extraneous solutions when solving absolute value equations Solving absolute value inequalities and graphing the solutions DoDEA Process Standards No DODEA Algebra 2 Standard A.1.3.7 Graph inequalities and shade the regions that they define; (Algebra 1) A1.3.10 Solve multistep problems involving linear equations and/or inequalities (including those with absolute value) in one variable and provide justification for each step; (Algebra 1) Lesson Plans: Notes: Solving Equations (ppt) Notes: Expressions and Formulas (ppt) Notes: Lessons 1, 2, and 4 (ppt) Notes: Expressions (Lesson 1), Properties (Lesson 2), and Solving Equations (Lesson 4) (ppt) Last Edit 22 Aug 2012 Larson Algebra 2 - Standard Correlation Standards NOT addressed by Larson Algebra 2: A2.1.5: Determine and interpret maximum and minimum values for quadratic equations A2.3.1: Use the definition of logarithms to translate between logarithms in any base; A2.5.4a Solve equations and inequalities involving absolute values of linear expressions ; A2.5.7: Determine the type of function that best fits the context of a basic application (e.g., linear to solve distance/time problems; quadratic to explain the motion of a falling object, exponential; to model bacteria growth, piece-wise to model postage rates, or absolute value functions to represent distance from the mean); Lesson 1.7 Solve Absolute Value Equations & Inequalities (Pgs 51 – 59) Lesson 1.5-1.7 : Mixed Review of Problem Solving (Pg 59) Chapter 1: Summary, Review, Test Practice (Pgs 60-69) A2.5.4 Solve equations and inequalities involving absolute values of linear expressions; Property Flash Cards (pdf) Notes: Solving Absolute Value Equations (ppt) Notes: Solving Absolute Value Equations #2 (ppt) Notes: Solving Inequalities (ppt) DoDEA Process Standards TI Lesson Activities: Verifying Absolute Value Inequalities with a Graphical Approach Introduction to Absolute Value Solving Equations with Solve It Chapter 2: Linear Equations & Functions Lesson 2.1: Represent Relations & Functions (Pgs 72 – 81) DoDEA Standard Correlation A2.5.1 Determine whether a relationship is a function and identify independent and dependent variables, the domain, range, roots, asymptotes and any points of discontinuity of functions. (use paper and pencil methods and/or graphing calculators where appropriate); A2.5.2 Graph and describe the basic shape of the graphs and analyze the general form of the equations for the following families of functions: linear, quadratic, exponential, piece-wise, and absolute value (use technology when appropriate.); A2.5.2 Graph and describe the basic shape of the graphs and analyze the general form of equations for the following families of functions: linear, quadratic, exponential, piece-wise, and absolute value (use technology when appropriate.); A2.5.3 Describe the translations and scale changes of a given function ƒ(x) resulting from parameter substitutions and describe the effect of such changes on linear, quadratic, and exponential functions; Additional Resources to Support the DoDEA Standards Animated Algebra: Exploring Functions and Relations Exploring Rise and Run Slope-Intercept Form Graph an Equation in Slope-Intercept Form Graphing Linear Inequalities in Two Variables Chapter 2: Model Direct Variation(Gray Whales) Chapter 2: The Correlation of x and y Lesson 2.2: Find Slope and Rate of Change (Pgs 82 – 88) Lesson 2.3: Graph Equations of Lines (Pgs 89 – 97) Tutorials: Finding the Slope of a Line Determining Whether a Relation is a Function Domain and Range Video Tutorial - Using the Equation Solver to Find a Solution Identifying functions using a mapping diagram Identifying functions using the vertical line test Graphing relations Last Edit 22 Aug 2012 Larson Algebra 2 - Standard Correlation Standards NOT addressed by Larson Algebra 2: A2.1.5: Determine and interpret maximum and minimum values for quadratic equations A2.3.1: Use the definition of logarithms to translate between logarithms in any base; A2.5.4a Solve equations and inequalities involving absolute values of linear expressions ; A2.5.7: Determine the type of function that best fits the context of a basic application (e.g., linear to solve distance/time problems; quadratic to explain the motion of a falling object, exponential; to model bacteria growth, piece-wise to model postage rates, or absolute value functions to represent distance from the mean); Lesson 2.4: Write Equations of Lines (Pgs 98 – 106) A2.5.2 Graph and describe the basic shape of the graphs and analyze the general form of the equations for the following families of functions: linear, quadratic, exponential, piece-wise, and absolute value (use technology when appropriate.); Lesson 2.1-2.4 : Mixed Review of Problem Solving ( Pg 106) Lesson 2.5: Model Direct Variation (Pgs 107 – 112) Lesson 2.6: Draw Scatter Plots & BestFitting Lines (Pgs 113 – 122) Lesson 2.7: Use Absolute Value Functions & Transformations (Pgs 123 – 131) DoDEA Process Standards No DODEA Algebra 2 Standard No DODEA Algebra 2 Standard A2.5.3 Describe the translations and scale changes of a given function ƒ(x) resulting from parameter substitutions and describe the effect of such changes on linear, quadratic, and exponential functions; A2.5.4 Solve equations and inequalities involving absolute values of linear expressions; A2.5.5 Determine the equation of a function as a variation or transformation of the general form of the equation for the basic family of the function; Finding domain and range of a relation Video Tutor - Linear Euations Graphing a linear equation using tables Writing an equation in point-slope form using a point and the slope Writing an equation in point-slope form from a graph Graphing linear equations using intercepts to solve realworld situations Writing equations of perpendicular and parallel lines Graphing linear inequalities Using linear inequalities to solve problems Graphing absolute value inequalities Writing absolute value inequalities Lesson Plans: Notes: Relations and Functions (ppt) Notes: Domain and Range (ppt) Notes: Domain and Range #2 (ppt) Notes: Linear Equations (ppt) Notes: Linear Equations #2 (ppt) Notes: Slope (ppt) Notes: Writing Linear Equations (ppt) Notes Outline (ppt) Notes: Writing Linear Equations #2 (ppt) Notes: Graphing Linear Inequalities (ppt) Notes: Graphing Linear Inequalities #2 (ppt) Lesson 2.8: Graph Linear Inequalities in Two Variables (Pgs 132 139) Prerequisite for Lesson 2.5-2.8: Mixed Review of Problem Solving (Pg 139) A2.5.4b: Solve Systems of linear equations and inequalities in two variable by substitution, graphing, and use matrices with three variables; DoDEA Process Standards Lesson Activities: Functions Range & Domain Algebra Functions Last Edit 22 Aug 2012 Larson Algebra 2 - Standard Correlation Standards NOT addressed by Larson Algebra 2: A2.1.5: Determine and interpret maximum and minimum values for quadratic equations A2.3.1: Use the definition of logarithms to translate between logarithms in any base; A2.5.4a Solve equations and inequalities involving absolute values of linear expressions ; A2.5.7: Determine the type of function that best fits the context of a basic application (e.g., linear to solve distance/time problems; quadratic to explain the motion of a falling object, exponential; to model bacteria growth, piece-wise to model postage rates, or absolute value functions to represent distance from the mean); Chapter 2: Summary, Review, Test Practice (Pgs 140 – 149) Activity: Step Functions (gsp) Activity: Absolute Value Functions (gsp) Chapter 3: Linear Systems & Matrices Lesson 3.1: Solve Linear Systems by Graphing (Pgs 153 – 159) Lesson 3.2: Solve Linear Systems Algebraically (Pgs 160 – 167) Lesson 3.3: Graph Systems of Linear Inequalities (Pgs 168 – 176) Lesson 3.4: Solve Systems of Linear Equations in Three Variables (Pgs 178 – 187) Lesson 3.1-3.4 : Mixed Review of Problem Solving (Pg 186) Lesson 3.5: Perform Basic Matrix Operations (Pgs 187 – 194) Lesson 3.6: Multiply Matrice (Pgs 195 – 202) DoDEA Standard Correlation A2.5.4b: Solve Systems of linear equations and inequalities in two variable by substitution, graphing, and use matrices with three variables; Additional Resources to Support the DoDEA Standards Animated Algebra: Solving Linear Equations by Graphing Systems of Linear Inequalities Chapter 3: Solve Linear Systems by Graphing(Bus Fares) A2.5.4b: Solve Systems of linear equations and inequalities in two variable by substitution, graphing, and use matrices with three variables; Tutorials: Systems of Linear Equations Systems of Equations Three Variables Algebra II - Systems of Linear Equations Solving and interpreting a system of linear equations by graphing Interpreting solutions of systems of linear equations Classifying systems of equations without graphing Solving three-variable systems by elimination Solving three-variable systems by multiplying first and using elimination Solving three-variable systems by substitution Solving linear systems using substitution Solving linear systems for real-world situations using substitution Solving linear systems using elimination, adding Solving linear systems using elimination, multiplying first A2.5.4b: Solve Systems of linear equations and inequalities in two variable by substitution, graphing, and use matrices with three variables; A2.5.4b: Solve Systems of linear equations and inequalities in two variable by substitution, graphing, and use matrices with three variables; DoDEA Process Standards No DODEA Algebra 2 Standard No DODEA Algebra 2 Standard Lesson Plans: Notes: Graphing Systems of Equations (ppt) Last Edit 22 Aug 2012 Larson Algebra 2 - Standard Correlation Standards NOT addressed by Larson Algebra 2: A2.1.5: Determine and interpret maximum and minimum values for quadratic equations A2.3.1: Use the definition of logarithms to translate between logarithms in any base; A2.5.4a Solve equations and inequalities involving absolute values of linear expressions ; A2.5.7: Determine the type of function that best fits the context of a basic application (e.g., linear to solve distance/time problems; quadratic to explain the motion of a falling object, exponential; to model bacteria growth, piece-wise to model postage rates, or absolute value functions to represent distance from the mean); Lessons 3.7: Evaluate Determinants & Apply Cramer’s Rule (Pgs 203 – 209) Lesson 3.8: Use Inverse Matrices to Solve Linear Systems (Pgs 210 – 219) Lesson 3.5-3.8 : Mixed Review of Problem Solving (Pg 220) Chapter 3: Summary, Review, Test Practice (Pgs 221 – 233) Notes: Solving Systems of Equation in Three Variables (ppt) No DODEA Algebra 2 Standard No DODEA Algebra 2 Standard Notes: Solving Systems of Equations Algebraically (ppt) Notes: Solving Systems of Equations Algebraically #2 (ppt) Notes: Solving Systems of Equations by Elimination (ppt) Notes: Solving Systems of Equations by Substitution (ppt) Formative: DoDEA Process Standards Solving Systems of Equations in Three Variables Worksheet #110 (pdf) TI Lesson Activities: Solve Systems of linear equations and inequalities (practice pages) Solving Systems of Equations Chapter 4: Quadratic Functions & Factoring Lesson 4.1: Graph Quadratic Functions in Standard Form (Pgs 236 – 244 DoDEA Standard Correlation A2.5.1 Determine whether a relationship is a function and identify independent and dependent variables, the domain, range, roots, asymptotes and any points of discontinuity of functions. (use paper and pencil methods and/or graphing calculators where appropriate); A2.5.2 Graph and describe the basic shape of the graphs and analyze the general form of the equations for the following families of functions: linear, quadratic, exponential, piece-wise, and absolute value (use technology when appropriate.); A2.5.5 Determine the equation of a function as a variation or transformation of the general form of the equation for the basic family of the function; A2.5.6 Describe the characteristics of a quadratic function (maximum, minimum, zero values, y- Additional Resources to Support the DoDEA Standards Animated Algebra: Graphing Quadratic Functions Quadratic Function Explorer Standard form (applet) Chapter 4: A Falling Object Model Chapter 4: Quadratics in Factored Form Chapter 4: Perform Operations with Complex Numbers Chapter 4: Complete the Square(Softball Chapter 4: Graphing Quadratic Inequalities Tutorials: Quadratic Formula Rap Quadratic Functions (study sheet) Quadratic Functions(General Form) Solve by Factoring Last Edit 22 Aug 2012 Larson Algebra 2 - Standard Correlation Standards NOT addressed by Larson Algebra 2: A2.1.5: Determine and interpret maximum and minimum values for quadratic equations A2.3.1: Use the definition of logarithms to translate between logarithms in any base; A2.5.4a Solve equations and inequalities involving absolute values of linear expressions ; A2.5.7: Determine the type of function that best fits the context of a basic application (e.g., linear to solve distance/time problems; quadratic to explain the motion of a falling object, exponential; to model bacteria growth, piece-wise to model postage rates, or absolute value functions to represent distance from the mean); Lesson 4.2: Graph Quadratic Functions in Vertex or Intercept Form (Pgs 245 – 251) Prerequisite for: esson 4.3: Solve x2 + bx + c = 0 by Factoring (Pgs 252 – 258) Prerequisite for: Lesson 4.4: Solve ax2 + bx + c = 0 by Factoring (Pgs 259 – 265) Last Edit 22 Aug 2012 intercepts) and use them to solve real world problems (use technology where appropriate); A2.5.1 Determine whether a relationship is a function and identify independent and dependent variables, the domain, range, roots, asymptotes and any points of discontinuity of functions. (use paper and pencil methods and/or graphing calculators where appropriate); A2.5.2 Graph and describe the basic shape of the graphs and analyze the general form of the equations for the following families of functions: linear, quadratic, exponential, piece-wise, and absolute value (use technology when appropriate.); A2.5.5 Determine the equation of a function as a variation or transformation of the general form of the equation for the basic family of the function; A2.5.6 Describe the characteristics of a quadratic function (maximum, minimum, zero values, yintercepts) and use them to solve real world problems (use technology where appropriate); A2.1.4 Determine rational and complex zeros for quadratic equations; A2.5.1 Determine whether a relationship is a function and identify independent and dependent variables, the domain, range, roots, asymptotes and any points of discontinuity of functions. (use paper and pencil methods and/or graphing calculators where appropriate); A2.5.9 Use function notation to indicate operations on functions and use properties from number systems to justify steps in combining and simplifying functions; A2.1.4 Determine rational and complex zeros for quadratic equations; A2.5.1 Determine whether a relationship is a function and identify independent and dependent variables, Solving Quadratic Equations by Factoring Algebra II: Quadratics Factoring Quadratic Expressions Solving Quadratic Equations by Factoring Solving Quadratic Equations by Factoring 2 Solving Quadratic Equations by Factoring 3 Solving Quadratic Equations by Completing the Square Completing Perfect Square Trinomials Introduction to the quadratic equation Quadratic Equation part 2 Quadratic Formula 1 Quadratic Formula 2 Quadratic Formula 3 Quadratic Equations in Standard Form Solving quadratic equations by graphing Solving quadratic equations using square roots Solving quadratic equations by factoring Lesson Plans: Notes: Roots and Zeros of Polynomials (ppt) Notes: Domain and Range (ppt) Notes: Solving Quadratic Equations by Graphing (ppt) Notes: Solving Polynomial Equations by Graphing (ppt) Notes: Solving Quadratics by Factoring (ppt) Notes: Solving Equations by Completing the Square (ppt) Formative: Classwork: Completing the Square #1-8 (pdf) Homework: Completing the Square #1-9 (pdf) TI Lesson Activities: Ball Bounce Larson Algebra 2 - Standard Correlation Standards NOT addressed by Larson Algebra 2: A2.1.5: Determine and interpret maximum and minimum values for quadratic equations A2.3.1: Use the definition of logarithms to translate between logarithms in any base; A2.5.4a Solve equations and inequalities involving absolute values of linear expressions ; A2.5.7: Determine the type of function that best fits the context of a basic application (e.g., linear to solve distance/time problems; quadratic to explain the motion of a falling object, exponential; to model bacteria growth, piece-wise to model postage rates, or absolute value functions to represent distance from the mean); Prerequisite for: Lesson 4.5: Solve Quadratic Equations by Finding Square Roots (Pgs 266 – 271) Prerequisite for: the domain, range, roots, asymptotes and any points of discontinuity of functions. (use paper and pencil methods and/or graphing calculators where appropriate); A2.5.9 Use function notation to indicate operations on functions and use properties from number systems to justify steps in combining and simplifying functions; A2.1.4 Determine rational and complex zeros for quadratic equations; A2.5.1 Determine whether a relationship is a function and identify independent and dependent variables, the domain, range, roots, asymptotes and any points of discontinuity of functions. (use paper and pencil methods and/or graphing calculators where appropriate); A2.5.9 Use function notation to indicate operations on functions and use properties from number systems to justify steps in combining and simplifying functions; Lesson 4.1-4.5 : Mixed Review of Problem Solving (Pg 274) DoDEA Process Standards Quarter 2 Last Edit 22 Aug 2012
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