Solving absolute value equations and inequalities



PAP Algebra 2– 1st 9 weeks Pacing Guide 2016 – 2017The following calendar represents a suggested pacing guide. MondayTuesdayWednesdayThursdayFridayAugust 22First day of school-63500132715Formulate absolute value equations and inequalities (2A.6D): Formulate the definition of absolute value from a number line to model both mathematical and real world situations.Formulate absolute value linear equations to model both mathematical and real-world situations. (2A.6D)00Formulate absolute value equations and inequalities (2A.6D): Formulate the definition of absolute value from a number line to model both mathematical and real world situations.Formulate absolute value linear equations to model both mathematical and real-world situations. (2A.6D)2324-2691766856615Absolute Value Functions00Absolute Value Functions25-1119505175260Solving absolute value equations and inequalities (2A.6E)00Solving absolute value equations and inequalities (2A.6E)26-33655162560Solving absolute value equations and inequalities (2A.6E, 2A.6F): Write and solve absolute value equations and inequalities in connection with the definition in real world and mathematical contexts; identify extraneous solutions; write and graph solutions as compound inequality statements in both interval and inequality notation. Include connections to solving linear equations.00Solving absolute value equations and inequalities (2A.6E, 2A.6F): Write and solve absolute value equations and inequalities in connection with the definition in real world and mathematical contexts; identify extraneous solutions; write and graph solutions as compound inequality statements in both interval and inequality notation. Include connections to solving linear equations.29334010759460Absolute Value Functions00Absolute Value Functions3031202565245110Summative Assessment00Summative AssessmentSeptember 1-52705162560Graph and write abs value equations (2A.2A, 2A.6C, 2A.6E, 2A.7I): 00Graph and write abs value equations (2A.2A, 2A.6C, 2A.6E, 2A.7I): 25HolidayLabor Day6-1546860155575Graph and write abs value equations (2A.2A, 2A.6C, 2A.6E, 2A.7I): Graph with and without transformations; identify D&R (using ineq, interval, and set notation), intercepts, symmetry, and max & min values (including intervals); make connections between the multiple representations and linear and quad functions. 00Graph and write abs value equations (2A.2A, 2A.6C, 2A.6E, 2A.7I): Graph with and without transformations; identify D&R (using ineq, interval, and set notation), intercepts, symmetry, and max & min values (including intervals); make connections between the multiple representations and linear and quad functions. 7-27813001126490Absolute Value Functions00Absolute Value Functions8-1345565174625Graph and write abs value inequalities (2A.6F)): Graph an absolute value inequality of 2 variables; compare to solving absolute value inequalities with 1 variable graphically (include problems with variables on both sides of the inequality as well as absolute value on both sides of the inequality). 00Graph and write abs value inequalities (2A.6F)): Graph an absolute value inequality of 2 variables; compare to solving absolute value inequalities with 1 variable graphically (include problems with variables on both sides of the inequality as well as absolute value on both sides of the inequality). 9-5080158115Graph, Write and Solve systems of abs value and linear equations (2A.6E) Graph systems from multiple reps; write systems from a graph; solve systems (include using systems as a method for solving absolute value equations graphically)00Graph, Write and Solve systems of abs value and linear equations (2A.6E) Graph systems from multiple reps; write systems from a graph; solve systems (include using systems as a method for solving absolute value equations graphically)121314-4101465942340Absolute Value Functions00Absolute Value Functions207010365760Summative Assessment00Summative Assessment15-34925186690Write and Solve systems of inequalities (2A.3E): 00Write and Solve systems of inequalities (2A.3E): 161980646743585Linear Systems of Equations and Inequalities00Linear Systems of Equations and Inequalities-1406525170180Write and Solve systems of inequalities (2A.3E, 2A.3F, 2A.3G): Write and solve systems of two or more linear inequalities in both mathematical and real-world contexts; make connections to the graph of the system and the possible solutions of the system, include geometric shapes; include from a system of ineq from a table.00Write and Solve systems of inequalities (2A.3E, 2A.3F, 2A.3G): Write and solve systems of two or more linear inequalities in both mathematical and real-world contexts; make connections to the graph of the system and the possible solutions of the system, include geometric shapes; include from a system of ineq from a table.20212223HolidayFair Day33020142240Write systems of three linear equations (2A.3A):Formulate systems of 3 linear equations with 3 variables to model mathematical and real-world situations. Note: not from a graph.00Write systems of three linear equations (2A.3A):Formulate systems of 3 linear equations with 3 variables to model mathematical and real-world situations. Note: not from a graph.262728-3986530875665Linear Systems of Equations and Inequalities00Linear Systems of Equations and Inequalities29-2796540172720Write and Solve systems of three linear equations (2A.3A, 2A.3B): Write systems and solve using substitution and Gaussian elimination for 3 variables; Introduce and define matrices to solve ; Include systems where there is exactly 1 solution, infinitely many solutions, and no solution; Determine the reasonableness of the solution(s). 00Write and Solve systems of three linear equations (2A.3A, 2A.3B): Write systems and solve using substitution and Gaussian elimination for 3 variables; Introduce and define matrices to solve ; Include systems where there is exactly 1 solution, infinitely many solutions, and no solution; Determine the reasonableness of the solution(s). 30October 333020812165Systems of Equations and Inequalities00Systems of Equations and Inequalities-1454150195580Write and Solve systems of three linear equations (2A.3A, 2A.3B):00Write and Solve systems of three linear equations (2A.3A, 2A.3B):45206375289560Summative Assessment00Summative Assessment6-52705139065Quadratic Relations: Parabola (2A.4B): Write equations of a parabola using the def as a conic section (spiral circle). 00Quadratic Relations: Parabola (2A.4B): Write equations of a parabola using the def as a conic section (spiral circle). 710-1482725179706Quadratic Relations: Parabola (2A.4B): use information to determine if horizontal or vertical; include mathematical and real world situations.00Quadratic Relations: Parabola (2A.4B): use information to determine if horizontal or vertical; include mathematical and real world situations.11-27203401141730Quadratic Relations and Functions00Quadratic Relations and Functions12-2748916179705Complex Numbers (2A.7A): Define complex number system and the imaginary number as the square root of -1; define and analyze the effects of finding powers of i.; simplify square roots of negative numbers; solve quadratics having imaginary square roots using the square root method; add, subtract, multiply, and divide complex numbers.00Complex Numbers (2A.7A): Define complex number system and the imaginary number as the square root of -1; define and analyze the effects of finding powers of i.; simplify square roots of negative numbers; solve quadratics having imaginary square roots using the square root method; add, subtract, multiply, and divide complex numbers.1314 Elementary Conf. Secondary PD End of Grading PeriodPAP Algebra 2 FBISD 2nd Grading Period2016-2017MondayTuesdayWednesdayThursdayFridayOctober 17Student HolidayDistrict PD-49530180340Writing Quadratic Equations (2A.4A, 2A.4D, 2A.4E, 2A.7I): Write from standard form to vertex form; apply completing the square; ID domain, range, axis of symmetry, vertex, max or min; Find the equation given 3 points from multiple representations; analyze 2nd differences, and regression of exact data; include writing equations with imaginary roots, 00Writing Quadratic Equations (2A.4A, 2A.4D, 2A.4E, 2A.7I): Write from standard form to vertex form; apply completing the square; ID domain, range, axis of symmetry, vertex, max or min; Find the equation given 3 points from multiple representations; analyze 2nd differences, and regression of exact data; include writing equations with imaginary roots, 18-13417551047115Quadratic Relations and Functions00Quadratic Relations and Functions1920-27305180340Solve Quadratic Equations and Inequalities (2A.4F, 2A.4H) 00Solve Quadratic Equations and Inequalities (2A.4F, 2A.4H) 21106680132080Checkpoint 1 window00Checkpoint 1 window242526-2795270398780Solve Quadratic Equations and Inequalities (2A.4F, 2A.4H) Solve quadratic equations with complex solutions; spiral factoring, taking square roots, completing the square and the quad formula; analyze the discriminant and best method of solving; 00Solve Quadratic Equations and Inequalities (2A.4F, 2A.4H) Solve quadratic equations with complex solutions; spiral factoring, taking square roots, completing the square and the quad formula; analyze the discriminant and best method of solving; 27-54000401284605Quadratic Relations and Functions00Quadratic Relations and Functions28289560444500Summative Assessment00Summative Assessment400051094105Quadratic Relations and Functions00Quadratic Relations and Functions31-20955244475Write and Solve systems of two equations (one linear and one quadratic, extension with 2 quadratic) (2A.3A, 2A.3C, 2A.3D)Write systems of two equations with one linear and one quadratic function (either parabola or circle) to model mathematical and real-world situations; solve systems of 1 linear and 1 quadratic including horizontal, 2 or 3 quadratics (circles and parabolas together), check for reasonableness or extraneous solutions.00Write and Solve systems of two equations (one linear and one quadratic, extension with 2 quadratic) (2A.3A, 2A.3C, 2A.3D)Write systems of two equations with one linear and one quadratic function (either parabola or circle) to model mathematical and real-world situations; solve systems of 1 linear and 1 quadratic including horizontal, 2 or 3 quadratics (circles and parabolas together), check for reasonableness or extraneous solutions.November 123495251017905Quadratic Relations and Functions00Quadratic Relations and Functions78-2703831168275Solve systems of 2 inequalities (ext. with 1 linear and 1 quadratic, or 2 quadratic) (ext to 2A.4H): Write & solve systems of 2 inequalities in both math and real-world contexts.; Make connections to the graph of the system and the possible solutions of the system.00Solve systems of 2 inequalities (ext. with 1 linear and 1 quadratic, or 2 quadratic) (ext to 2A.4H): Write & solve systems of 2 inequalities in both math and real-world contexts.; Make connections to the graph of the system and the possible solutions of the system.910188595404495Summative Assessment00Summative Assessment113810151765Inverses of Quadratic/ Square Root Functions (2A.2B, 2A.2C, 2A.2D, 2A.7I): Define an inverse and inverse function graphically and algebraically; include inverse notation; analyze functions with and without inverse functions, reflection over the line y = x; analyze D and R; make connections to solving quadratics with positive and negative roots and square roots with extraneous solutions. As an extension, find the inverse to an absolute value function.00Inverses of Quadratic/ Square Root Functions (2A.2B, 2A.2C, 2A.2D, 2A.7I): Define an inverse and inverse function graphically and algebraically; include inverse notation; analyze functions with and without inverse functions, reflection over the line y = x; analyze D and R; make connections to solving quadratics with positive and negative roots and square roots with extraneous solutions. As an extension, find the inverse to an absolute value function.1415-27419301009015Quadratic and Square Root Functions00Quadratic and Square Root Functions16171821Holiday22Holiday23 Holiday24Thanksgiving Day25 Holiday13336189230Solve Square Root Equations (2A.4F,2A.4G, 2A.7H): Solve square root equations algebraically using its inverse function, the quadratic; include square roots in exponential form; include equations with square roots on both sides; check for extraneous solutions; solve graphically with technology; include math and real world situations.00Solve Square Root Equations (2A.4F,2A.4G, 2A.7H): Solve square root equations algebraically using its inverse function, the quadratic; include square roots in exponential form; include equations with square roots on both sides; check for extraneous solutions; solve graphically with technology; include math and real world situations.282930-41306751372235Quadratic and Square Root Functions00Quadratic and Square Root FunctionsDecember 1-1439545189230Graph and Write Square Root Functions (2A.2A, 2A.4C, 2A.4E, 2A.4F, 2A.7I): Use the sq root graph as an inverse to the quad parent graph when to define the parent sq root function and its attributes, define D and R and intercepts algebraically and graphically; include max and min on an interval; graph with transf. and ID changes in attributes; write using tech and regression00Graph and Write Square Root Functions (2A.2A, 2A.4C, 2A.4E, 2A.4F, 2A.7I): Use the sq root graph as an inverse to the quad parent graph when to define the parent sq root function and its attributes, define D and R and intercepts algebraically and graphically; include max and min on an interval; graph with transf. and ID changes in attributes; write using tech and regression2-53340172720Graph and Write Square Root Functions: Spiral linear, quad, abs value 00Graph and Write Square Root Functions: Spiral linear, quad, abs value 5-1905172721Graph Systems and Inequalities: Graph a square root inequality in 2 variables; Solve systems of equations and inequalities that contain a square root function.00Graph Systems and Inequalities: Graph a square root inequality in 2 variables; Solve systems of equations and inequalities that contain a square root function.6-27895551079500Quadratic and Square Root Functions00Quadratic and Square Root Functions78332105146050Summative Assessment00Summative Assessment91213Exams14Exams15ExamsHS/MS Early Dismissal 16ExamsAll Early DismissalEnd 1st SemesterPAP Algebra 2 FBISD 3rd Grading Period2016-2017MondayTuesdayWednesdayThursdayFridayJanuary 2Campus Prof. Development3233045361950Cubic and Cube Root Functions00Cubic and Cube Root Functions-1361439178436Graph Cubic Functions (2A.2A, 2A.7I, 2A.6A): Define cubic in terms of polynomial; graph & ID key features (D,R, ints, symmetry) and transformations with the cubic parent graph ;compare/spiral cubic with quadratic, linear, abs value, and sq root functions00Graph Cubic Functions (2A.2A, 2A.7I, 2A.6A): Define cubic in terms of polynomial; graph & ID key features (D,R, ints, symmetry) and transformations with the cubic parent graph ;compare/spiral cubic with quadratic, linear, abs value, and sq root functions45-10795180340Inverses of Cubic/ Cube Root Functions (2A.2C, 00Inverses of Cubic/ Cube Root Functions (2A.2C, 69-3365524130Inverses of Cubic/ Cube Root: (2A.2C, 2A.2B, 2A.2D): Determine cubic inverses graphically and algebraically, D, R, one-to-one, composition. Spiral quadratic and square roots.00Inverses of Cubic/ Cube Root: (2A.2C, 2A.2B, 2A.2D): Determine cubic inverses graphically and algebraically, D, R, one-to-one, composition. Spiral quadratic and square roots.334010559435Cubic and Cube Root Functions00Cubic and Cube Root Functions1024765189230Solve Cube Root Equations Including Applications (2A.6B, 2A.7G, 2A.7H): Simplify square and cube roots inc. variables, solve cube root equations using radicals and exponent forms, include mathematical and real world situations.00Solve Cube Root Equations Including Applications (2A.6B, 2A.7G, 2A.7H): Simplify square and cube roots inc. variables, solve cube root equations using radicals and exponent forms, include mathematical and real world situations.11121316HolidayMLK Day177620788670Cubic and Cube Root Functions00Cubic and Cube Root Functions297180115570Summative Assessment00Summative Assessment83820137160Checkpoint 2 window00Checkpoint 2 window1846355423545Simplify Radical Expressions and Solve Equations with Rational Exponents (2A.7G, 2A.7H): Simp all radical expressions with variables; solve all equations involving rational exponents.00Simplify Radical Expressions and Solve Equations with Rational Exponents (2A.7G, 2A.7H): Simp all radical expressions with variables; solve all equations involving rational exponents.19201231901096645Cubic and Cube Root Functions00Cubic and Cube Root Functions23-1411605210820Graph Cube Root Functions (2A.2A, 2A.7I, 2A.6A): Graph and identify key features (D,R, ints, symmetry) and transformations with the cube root parent graph. Verify intercepts algebraically.00Graph Cube Root Functions (2A.2A, 2A.7I, 2A.6A): Graph and identify key features (D,R, ints, symmetry) and transformations with the cube root parent graph. Verify intercepts algebraically.2425-1372870144144Systems and Inequalities with Cubic and Cube Root Functions (2A.2A, 2A.6B): Solve systems involving any of the functions studied up to this point both graphically and algebraically when possible; include inequalities of cubic and cube root both graphically and algebraically (when possible)00Systems and Inequalities with Cubic and Cube Root Functions (2A.2A, 2A.6B): Solve systems involving any of the functions studied up to this point both graphically and algebraically when possible; include inequalities of cubic and cube root both graphically and algebraically (when possible)262730255270179705Summative Assessment00Summative Assessment3175196850Add, subtract, Multiply Polynomials (2A.7B):Includes all polynomials, binomial expansion and Pascal’s triangle, and applications such as perimeter and area. 00Add, subtract, Multiply Polynomials (2A.7B):Includes all polynomials, binomial expansion and Pascal’s triangle, and applications such as perimeter and area. 31-1375410939800Operations of Polynomial and Rational Functions00Operations of Polynomial and Rational FunctionsFebruary 1-34290137795Divide Polynomials (2A.7C, 2A.7D): Includes degree 3 and 4 polynomials divided by degree 1 and 2 polynomials, long division, synthetic division, quotient/remainder and divisor and connections to factoring with a remainder of 0.00Divide Polynomials (2A.7C, 2A.7D): Includes degree 3 and 4 polynomials divided by degree 1 and 2 polynomials, long division, synthetic division, quotient/remainder and divisor and connections to factoring with a remainder of 0.2337465170180Divide Polynomials (2A.7C, 2A.7D):00Divide Polynomials (2A.7C, 2A.7D):195580923290Operations of Polynomial and Rational Functions00Operations of Polynomial and Rational Functions67-1370965170180Factor Polynomials (2A.7D, 2A.7E): Factor degree 3 and 4 polynomials, and make connections to the graph of polynomials, its zeroes and x-intercepts (Note: graphing and solving polynomials is not a TEKS, only done in connection with understanding factors), Extension: Factor (not solve) polynomials of any degree, graph and solve any degree 3 polynomial equations and inequalities. Include spiral discussion about inverses of cubic functions and revisit one-to one. 00Factor Polynomials (2A.7D, 2A.7E): Factor degree 3 and 4 polynomials, and make connections to the graph of polynomials, its zeroes and x-intercepts (Note: graphing and solving polynomials is not a TEKS, only done in connection with understanding factors), Extension: Factor (not solve) polynomials of any degree, graph and solve any degree 3 polynomial equations and inequalities. Include spiral discussion about inverses of cubic functions and revisit one-to one. 891013Student Holiday District PD-1905212725Factor Polynomials (2A.7D, 2A.7E) include factoring using synthetic division, sum and difference of cubes, and grouping, and include polynomials that require factoring completely. 00Factor Polynomials (2A.7D, 2A.7E) include factoring using synthetic division, sum and difference of cubes, and grouping, and include polynomials that require factoring completely. 1415250825391160Summative Assessment00Summative Assessment16-4030345903605Operations of Polynomial and Rational Functions00Operations of Polynomial and Rational Functions17 Elementary Conf. Secondary PD20Student Holiday District PD21-1370965208281Multiply and Divide Rational Expressions (2A.7F, 2A.7I): Factor and simplify rational expressions in order to multiply and divide, divide by multiplying by the reciprocal and include all domain restrictions.00Multiply and Divide Rational Expressions (2A.7F, 2A.7I): Factor and simplify rational expressions in order to multiply and divide, divide by multiplying by the reciprocal and include all domain restrictions.-1375410970280Operations of Polynomial and Rational Functions00Operations of Polynomial and Rational Functions2223-1391285217805Add and Subtract Rational Expressions: (2A.7F, 2A.7I): Include rational expressions with like and unlike denominators, and include domain restrictions on rational expressions.00Add and Subtract Rational Expressions: (2A.7F, 2A.7I): Include rational expressions with like and unlike denominators, and include domain restrictions on rational expressions.2427-63574295Add and Subtract Rational Expressions: (2A.7F, 2A.7I): 00Add and Subtract Rational Expressions: (2A.7F, 2A.7I): 28-1383030264795Operations of Polynomial and Rational Functions00Operations of Polynomial and Rational FunctionsMarch 169850101600Summative Assessment00Summative Assessment2-1372235220345Solve Rational Equations (2A.6I, 2A.6J, 2A.6K, 2A.7I: Include addition and subtraction of rational expressions within the equations and equations equal to a constant or another rational expression. 00Solve Rational Equations (2A.6I, 2A.6J, 2A.6K, 2A.7I: Include addition and subtraction of rational expressions within the equations and equations equal to a constant or another rational expression. 3-1382395960120Rational Functions00Rational Functions678-4068445139065Solve Rational Equations (2A.6I, 2A.6J, 2A.6K, 2A.7I: Restrict the domain, check reasonableness of solutions, and include mathematical and real world situations. Extension: Include graphs of all rational functions using technology, discussion of inverses, systems and connect to solving rational equations, and inequalities from the graph. Note that solving rational inequalities is a pre-cal TEKS.00Solve Rational Equations (2A.6I, 2A.6J, 2A.6K, 2A.7I: Restrict the domain, check reasonableness of solutions, and include mathematical and real world situations. Extension: Include graphs of all rational functions using technology, discussion of inverses, systems and connect to solving rational equations, and inequalities from the graph. Note that solving rational inequalities is a pre-cal TEKS.-39884351100455Rational Functions00Rational Functions9-1324610139066Graph and Transform Rational Functions (2A.2A, 2A.6G, 2A.6K, 2A.7I): Graph and identify key features (Asymptotes, D,R, intercepts, symmetry) and transformations with the rational parent graph. Include finding the intercepts both graphically and algebraically. 00Graph and Transform Rational Functions (2A.2A, 2A.6G, 2A.6K, 2A.7I): Graph and identify key features (Asymptotes, D,R, intercepts, symmetry) and transformations with the rational parent graph. Include finding the intercepts both graphically and algebraically. 10 End 3rd Nine WeeksSpring Break—March 13- 1718764255582920Graph and Transform Rational Functions (2A.2A, 2A.6G, 2A.6K, 2A.7I): ): Graph and identify key features (Asymptotes, D,R, intercepts, symmetry) and transformations with the rational parent graph. Include finding the intercepts both graphically and algebraically. Note: The only graphing of rational functions is with the parent graph. Students will graph all rational functions in Pre-Calculus.00Graph and Transform Rational Functions (2A.2A, 2A.6G, 2A.6K, 2A.7I): ): Graph and identify key features (Asymptotes, D,R, intercepts, symmetry) and transformations with the rational parent graph. Include finding the intercepts both graphically and algebraically. Note: The only graphing of rational functions is with the parent graph. Students will graph all rational functions in Pre-Calculus.18764255582920Graph and Transform Rational Functions (2A.2A, 2A.6G, 2A.6K, 2A.7I): ): Graph and identify key features (Asymptotes, D,R, intercepts, symmetry) and transformations with the rational parent graph. Include finding the intercepts both graphically and algebraically. Note: The only graphing of rational functions is with the parent graph. Students will graph all rational functions in Pre-Calculus.00Graph and Transform Rational Functions (2A.2A, 2A.6G, 2A.6K, 2A.7I): ): Graph and identify key features (Asymptotes, D,R, intercepts, symmetry) and transformations with the rational parent graph. Include finding the intercepts both graphically and algebraically. Note: The only graphing of rational functions is with the parent graph. Students will graph all rational functions in Pre-Calculus.18764255582920Graph and Transform Rational Functions (2A.2A, 2A.6G, 2A.6K, 2A.7I): ): Graph and identify key features (Asymptotes, D,R, intercepts, symmetry) and transformations with the rational parent graph. Include finding the intercepts both graphically and algebraically. Note: The only graphing of rational functions is with the parent graph. Students will graph all rational functions in Pre-Calculus.00Graph and Transform Rational Functions (2A.2A, 2A.6G, 2A.6K, 2A.7I): ): Graph and identify key features (Asymptotes, D,R, intercepts, symmetry) and transformations with the rational parent graph. Include finding the intercepts both graphically and algebraically. Note: The only graphing of rational functions is with the parent graph. Students will graph all rational functions in Pre-Calculus.Algebra 2 FBISD 4th Grading Period2016-2017MondayTuesdayWednesdayThursdayFridayMarch 20-508055245Graph and Transform Rational Functions (2A.2A, 2A.6G, 2A.6K, 2A.7I):00Graph and Transform Rational Functions (2A.2A, 2A.6G, 2A.6K, 2A.7I):1397015240Rational Functions00Rational Functions212223-4060190267970Writing and Solving Rational Functions (including inverse variation) (2A.6L 2A.6H, 2A.6J, 2A.6K): Use direct var. for comparison, write and solve equations involving inverse variation in math and real world situations. Check reasonableness, and define meanings of key features.00Writing and Solving Rational Functions (including inverse variation) (2A.6L 2A.6H, 2A.6J, 2A.6K): Use direct var. for comparison, write and solve equations involving inverse variation in math and real world situations. Check reasonableness, and define meanings of key features.2427-13487401241425Rational Functions 00Rational Functions 286385264795Summative Assessment00Summative Assessment2829-13512801365885Exponential and Logarithmic Functions00Exponential and Logarithmic Functions30-2726690155576Graph Exponential Functions (2A.2A, 2A.5A, 2A.7I): Graph and identify the domain and range, the intercepts, the asymptote and asymptotic behavior. Identify transformations including vertical and horizontal stretch and compression, reflections over the x-axis and y-axis, horizontal and vertical shifts. Identify and analyze changes in key attributes including D and R, intercepts, and the asymptote. Verify the y-intercept algebraically. Extension: include all bases00Graph Exponential Functions (2A.2A, 2A.5A, 2A.7I): Graph and identify the domain and range, the intercepts, the asymptote and asymptotic behavior. Identify transformations including vertical and horizontal stretch and compression, reflections over the x-axis and y-axis, horizontal and vertical shifts. Identify and analyze changes in key attributes including D and R, intercepts, and the asymptote. Verify the y-intercept algebraically. Extension: include all bases31April 3-3492573660Graph Exponential Functions (2A.2A, 2A.5A, 2A.7I):. Analyze the effects on transf from the graph of exp functions other than the parent.00Graph Exponential Functions (2A.2A, 2A.5A, 2A.7I):. Analyze the effects on transf from the graph of exp functions other than the parent.45-28409901183640Exponential and Logarithmic Functions00Exponential and Logarithmic Functions-2764790219710Inverse of Exponential/ Logarithmic Functions (2A.2B, 2A.2C, 2A.2D, 2A.5C, 2A.7I): Determine the inverse of the exp function graphically and algebraically. Show one-to-one. Identify the domain and ranges. Define logarithm at natural logarithm function. Recognize the inverse as a reflection over the line y = x and show using composition. 00Inverse of Exponential/ Logarithmic Functions (2A.2B, 2A.2C, 2A.2D, 2A.5C, 2A.7I): Determine the inverse of the exp function graphically and algebraically. Show one-to-one. Identify the domain and ranges. Define logarithm at natural logarithm function. Recognize the inverse as a reflection over the line y = x and show using composition. 67292735379095Summative Assessment00Summative Assessment-336551652270Exponential and Logarithmic Functions00Exponential and Logarithmic Functions10-1386840546735Graph Logarithmic Functions (2A.2A, 2A.5A, 2A.7I): Graph and analyze. Identify the domain and range, the intercepts, the asymptote and asymptotic behavior. Identify and analyze changes in key attribute from transformations. Verify the x-intercept and y-intercept algebraically. Analyze the effects on transformations from the graph of exponential functions other than the parent.00Graph Logarithmic Functions (2A.2A, 2A.5A, 2A.7I): Graph and analyze. Identify the domain and range, the intercepts, the asymptote and asymptotic behavior. Identify and analyze changes in key attribute from transformations. Verify the x-intercept and y-intercept algebraically. Analyze the effects on transformations from the graph of exponential functions other than the parent.48895218440Checkpoint 3 window00Checkpoint 3 window11121314HolidayGood Friday17901701150620Exponential and Logarithmic Functions00Exponential and Logarithmic Functions1819-1423035300990Solve exponential & logarithmic functions including applications (2A.5D, 2A.5E, 2A.7I):Solve exp equations algebraically using its inverse function, the log function. Solve single log equations algebraically using its inverse function, the exponential function.? 00Solve exponential & logarithmic functions including applications (2A.5D, 2A.5E, 2A.7I):Solve exp equations algebraically using its inverse function, the log function. Solve single log equations algebraically using its inverse function, the exponential function.? -4175759224790Formulate exponential and log equations (2A.5B, 2A.7I) Formulate exp and log equations to model real-world situations. Include exponential relationships in recursive notation. Include situations involving growth and decay. Include domain restrictions. 00Formulate exponential and log equations (2A.5B, 2A.7I) Formulate exp and log equations to model real-world situations. Include exponential relationships in recursive notation. Include situations involving growth and decay. Include domain restrictions. 2021139701308100Exponential and Logarithmic Functions00Exponential and Logarithmic Functions2425-2794635255270Develop properties of logarithms using the inverse concept (Extension):Students will explore and develop the properties of logarithms. (Note: this is a discussion in terms of the inverse concept and not use of properties which is a pre-calculus TEKS. Use of properties should be basic and in terms of making the connections with exponential properties.00Develop properties of logarithms using the inverse concept (Extension):Students will explore and develop the properties of logarithms. (Note: this is a discussion in terms of the inverse concept and not use of properties which is a pre-calculus TEKS. Use of properties should be basic and in terms of making the connections with exponential properties.2627-1393190246380Systems and Inequalities of Exponential and Log Functions (extension): While solving logs was with single logs, students will make connections to solving systems and solving equations with a log on both sides.00Systems and Inequalities of Exponential and Log Functions (extension): While solving logs was with single logs, students will make connections to solving systems and solving equations with a log on both sides.28May 1-1443990160655Systems and Inequalities of Exponential and Log Functions (extension): Discussions should include number of solutions and graphic representations. Inequalities include algebraic and graphic representations in single and two variables.00Systems and Inequalities of Exponential and Log Functions (extension): Discussions should include number of solutions and graphic representations. Inequalities include algebraic and graphic representations in single and two variables.2-28124151141730Exponential and Logarithmic Functions00Exponential and Logarithmic Functions165735483235Summative Assessment00Summative Assessment34-13931901132205Functions and Data Analysis00Functions and Data Analysis-1375410312420Function Families: A summation of the functions studies in PAP Algebra 2. Compare and contrast functions and their attributes. 00Function Families: A summation of the functions studies in PAP Algebra 2. Compare and contrast functions and their attributes. 586159533655Analyze data and choose best representation (2A.8A): select the appropriate model, analyze the data to determine which model would best fit the situation. Extension: include all functions studied.00Analyze data and choose best representation (2A.8A): select the appropriate model, analyze the data to determine which model would best fit the situation. Extension: include all functions studied.223520854075Functions and Data Analysis00Functions and Data Analysis969215146050Regression Models (2A.8A, 2A.8B, 2A.8C): Access prior knowledge of writing regression equations for linear, quadratic, and exponential functions to choose the best model and write the equation using regression. Use the regression equation to make predictions and critical judgments. Note: Each function is not done in isolation.00Regression Models (2A.8A, 2A.8B, 2A.8C): Access prior knowledge of writing regression equations for linear, quadratic, and exponential functions to choose the best model and write the equation using regression. Use the regression equation to make predictions and critical judgments. Note: Each function is not done in isolation.101112156159541910Regression Models (2A.8A, 2A.8B, 2A.8C)00Regression Models (2A.8A, 2A.8B, 2A.8C)261620464820Data Analysis00Data Analysis161718145415216535Summative Assessment00Summative Assessment192223-1062990258445Review for Exam00Review for Exam242526Exams29HolidayMemorial Day30Exams31ExamsHS/MS Early DismissalJune 1ExamsAll Early DismissalEnd of 2nd Semester2Teacher Work Day ................
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