Mathematics Pacing Resource Document Algebra II – (Algebra 1 Linear Functions, Inequalities, and Functions Strand) Standard: AI.L.1: Understand that the steps taken when solving linear equations create new equations that have the same solution as the original. Solve fluently linear equations and inequalities in one variable with integers, fractions, and decimals as coefficients. Explain and justify each step in solving an equation, starting from the assumption that the original equation has a solution. Justify the choice of a solution method. I can : Understand the steps involved to solve a linear equations Create multiple equations that have the same solutions Solve fluently linear equations and inequalities in one variable with integers, fractions and decimals as coefficients. Explain/justify each step to solve a linear equations in one variable. Lesson Plans/Print Activities: Web-based Practice: Algebra I Standard http://www.teachertube.com/video/237084 Standard Algebra I - Glencoe McGraw-Hill Textbook This is a video over two step equations. There are two problems in Section. 2.2 – Solving One-Step Equations and Inequalities Section 2.3 – Solving Multi-Step Equations and Inequalities Section 2.4 – Solving Equations with Variables on Each Side Section 2.6 – Basic Ratios and Proportions within Equations Honors Algebra I – McDougal Littell Textbook Section 3.1 – Solve One Step Equations Section 3.2 – Solving Two-Step Equations Section 3.3 – Solving Multi-Step Equations Section 3.4 – Solving Equations with Variables on Both Sides Indianapolis Public Schools the video. ( 2x + 14 = 10 and w 5 6 7) http://www.teachertube.com/video/296922 This is a video over solving inequalities with a negative coefficient. The video is over 10 minutes long Curriculum and Instruction Mathematics Pacing Resource Document Algebra II – (Algebra 1 Linear Functions, Inequalities, and Functions Strand) Standard: AI.L.9: Solve absolute value linear equations in one variable. I can: Solve absolute value equations in one variable. Lesson Plans/Print Activities: Web-based Practice: Algebra I Standard and Resources Khan Academy: Standard Algebra I - Glencoe McGraw-Hill Textbook https://www.khanacademy.org/math/algebra/solving-linear-equationsand-inequalities/absolute-value-equations/v/absolute-value-equations Section 2.5 Solving Equations Involving Absolute Value Honors Algebra I – McDougal Littell Textbook Section 6.5 Solve Absolute Value Equations Indianapolis Public Schools Curriculum and Instruction Mathematics Pacing Resource Document Algebra II – Data Analysis, Statistics, and Probability Strand Standard: AII.DSP.2: Use technology to find a linear, quadratic, or exponential function that models a relationship for a bivariate data set to make predictions; compute (using technology) and interpret the correlation coefficient. I can: Use technology to model linear, quadratic and exponential functions from sets of data. Make predictions based on a given set of data. Compute and interpret the correlation coefficient. Lesson Plans/Print Activities: Web-based Practice: Khan Academy Videos on Regression https://www.khanacademy.org/math/probability/regression Standard Algebra II - Glencoe McGraw-Hill Textbook Section 2-5 Scatter Plots and Lines of Regression ( include page 99) H.O.T. problems 12,15 Ilumina Module on functions defined by data https://www.math.duke.edu//education/ccp/materials/precalc/fundata/ contents.html Honors Algebra II – McDougal Littell Textbook Material not covered in Quarter 1 Stat Trek (Linear Correlation Tutorial) http://stattrek.com/statistics/correlation.aspx Statistics How to: Correlation Coefficient tutorial http://www.statisticshowto.com/how-to-compute-pearsons-correlationcoefficients/ Correlation Calculator http://www.socscistatistics.com/tests/pearson/ Pearson Videos on modeling data with linear, quadratic or exponential functions http://www.phschool.com/webcodes10/index.cfm?fuseaction=home.got oWebCode&wcprefix=ate&wcsuffix=1008 Indianapolis Public Schools Curriculum and Instruction Mathematics Pacing Resource Document Regents Worksheet on fitting a curve to data http://www.jmap.org/JMAP/RegentsExamsandQuestions/PDF/Workshee tsByPITopic/Algebra_2_Trigonometry/Statistics_and_Probability/A2.S.6.Regres sion.pdf Regents Linear Correlation http://www.jmap.org/JMAP/RegentsExamsandQuestions/PDF/Workshee tsByPITopic/Algebra_2_Trigonometry/Statistics_and_Probability/A2.S.7.LinearR egression.pdf Regents Exponential Correlation http://www.jmap.org/JMAP/RegentsExamsandQuestions/PDF/Workshee tsByPITopic/Algebra_2_Trigonometry/Statistics_and_Probability/A2.S.7.Expone ntialRegression.pdf Regents Correlation Coefficient http://www.jmap.org/JMAP/RegentsExamsandQuestions/PDF/Workshee tsByPITopic/Algebra_2_Trigonometry/Statistics_and_Probability/A2.S.8.Correla tionCoefficient.pdf Regents Worksheet http://www.jmap.org/StaticFiles/PDFFILES/WorksheetsByTopic/GRAPHS _AND_STATISTICS/Drills/PR_Correlation_Coefficient.pdf TI 83/84 instructions for correlation http://facstaff.columbusstate.edu/almada_carlos/Courses/Math%20110 1/Scatter%20Plot_%20Correlation_%20and%20Regression%20on%20the %20TI-83-84.pdf Indianapolis Public Schools Curriculum and Instruction Mathematics Pacing Resource Document Algebra II – Functions Strand Standard: AII.F.1: Determine whether a relation represented by a table, graph, or equation is a function. I can: Determine if a relation represented by a table is a function. Determine if a relation represented by a graph is a function. Determine if a relation represented by an equation is a function. Lesson Plans/Print Activities: Standard Algebra II - Glencoe McGraw-Hill Textbook Section 2.1 Relations and Functions Example 1 and CYP page 69, Real-World page 64 #7, page 65 #14 Honors Algebra II – McDougal Littell Textbook Section 2.1 Equations of Lines Examples 1,2, Guided Practice #4,#5, Real-World Example # 3 Indianapolis Public Schools Web-based Practice: Purple Math Function versus Relation: http://www.purplemath.com/modules/fcns.htm Math is Fun http://www.mathsisfun.com/sets/function.html Weierstrass functions are famous for being continuous everywhere, but differentiable "nowhere". Here is an example of one: http://www.math.washington.edu/~conroy/general/weierstrass/weier.h tm Curriculum and Instruction Mathematics Pacing Resource Document Algebra II – Functions Strand Standard: AII.F.5: Describe the effect on the graph of f(x) by replacing f(x) with f(x) + k, k f(x), f(kx), and f(x + k) for specific values of k (both positive and negative) with and without technology. Find the value of k given the graph of f(x) and the graph of f(x) + k, k f(x), f(kx), or f(x + k). I can: Describe the transformations and translations of a parent function. Translate a parent function both vertically and horizontally for a given value. Stretch or shrink a parent function vertically and horizontally for a given value. Lesson Plans/Print Activities: Web-based Practice: Wolfram Widget (Graphs and transforms monomials of any degree.) Standard Algebra II - Glencoe McGraw-Hill Textbook http://www.wolframalpha.com/widgets/view.jsp?id=a8c77e7e085e9b9 d8cf080a1a00583ab Section 2-7 Parent Functions and Transformations Examples 2, 3, 4; Exercises #14-31, 41, 42 Purple Math Tutorial: Real-World exercises #9, #40 http://www.purplemath.com/modules/fcntrans.htm Transformations of specific functions are also introduced when the graphs for each function are introduced. Revisit accordingly. Math Is Fun: http://www.mathsisfun.com/sets/functiontransformations.html Honors Algebra II – McDougal Littell Textbook Activity Worksheet on basic transformations: http://spot.pcc.edu/~chughes/math%20111/111,PCC,section1,5.pdf Section 2-7 Absolute Value Functions and Transformations Exploring transformations TI activity pages 121-122 Examples #1, 2, 3, 5 plus guided practice and extra examples in margin, Real-World exercises #36, 37, 39, 40 Match the graphs with the functions: http://departments.jordandistrict.org/curriculum/mathematics/seconda ry/impact/Algebra%20II/Ready%20for%20web%20site/zTransformation MatchingGame.pdf Transformations of specific functions are also introduced when the graphs for each function are introduced. Revisit accordingly. Indianapolis Public Schools Curriculum and Instruction Mathematics Pacing Resource Document Graph new functions on same graph activity: http://www.teacherspayteachers.com/Product/FunctionTransformations-Sort-and-Graph-Activity-401822 Quick Worksheet on transformations of absolute value and square functions: http://www.lsrhs.net/departments/mathematics/DoreyB/Alg2013/Q4/g raph%20shifting%20wksht.pdf Online Math Learning. Videos on transformations: http://www.onlinemathlearning.com/transformation-graphs.html Transformations Jeopardy Game: http://www.superteachertools.com/jeopardy/usergames/May201117/gam e1304274152.php Indianapolis Public Schools Curriculum and Instruction Mathematics Pacing Resource Document Algebra II – Polynomial, Rational, and Other Functions and Equations Strand Standard: AII.PR.1: Solve real-world and other mathematical problems involving polynomial equations with and without technology. Interpret the solutions and determine whether the solutions are reasonable. I can: Solve real-world problems involving polynomial equations with and with technology. Interpret the solution and determine the reasonableness. Lesson Plans/Print Activities: Web-based Practice: Regents Prep problems Standard Algebra II - Glencoe McGraw-Hill Textbook http://www.regentsprep.org/regents/math/algebra/av3/papply.htm Section 2.4 Writing Linear Equations Real-World problems #34,35 Monterey Institute Tutorial on Solving Problems with Polynomials http://www.montereyinstitute.org/courses/Algebra1/COURSE_TEXT_RE SOURCE/U08_L2_T1_text_container.html Honors Algebra II – McDougal Littell Textbook Section 2.4 Write Equations of Lines Real-World problems #52,53 Indianapolis Public Schools Worksheet on finding perimeter and area http://www.laicharter.org/apps/download/YJOUqg92GSBWmIaKusfh5c ASoPipYcEq6iwLLR2WnhTSbZIi.pdf/Polynomial%20Word%20Problems% 20Worksheet.pdf Curriculum and Instruction Mathematics Pacing Resource Document Algebra II– Polynomial, Rational, and Other Functions and Equations Strand Standard: AII.PR.2: Graph relations and functions including polynomial, square root, and piecewise-defined functions (including step functions and absolute value functions) with and without technology. Identify and describe features, such as intercepts, zeros, domain and range, end behavior, and lines of symmetry. I can: Graph relations and functions including polynomial, square root, piecewise, step and absolute value functions with and without technology. Describe features of the graph such as x- and y-intercepts, zeros, domain and range, end behavior and lines of symmetry. Lesson Plans/Print Activities: Web-based Practice: Tutorial on Graphing Polynomials Standard Algebra II - Glencoe McGraw-Hill Textbook http://tutorial.math.lamar.edu/Classes/Alg/GraphingPolynomials.aspx Section 2.1 Relations and Functions Section 2.2 Linear Relations and Functions Section 2.6 Special Functions Examples #1, 2 plus CYP (Piecewise Functions) Example #3 plus CYP (Step Function) Example #4 plus CYP (Absolute Function) Real-World Exercises #30 (piecewise);# 5, #32 (step); #31 (Absolute) pages 104 and 105 Section 2.7 Parent Functions and Transformations Honors Algebra II – McDougal Littell Textbook Section 2.1 Equations of Lines (Slope and Graphing) Section 2.4 page 98 Graphing Calculator Activity Section 2.7 Absolute Value Functions Extension on Piecewise pages 130 and 131 Example #1, 2, 3 plus practice# 1-7 pages 130 and 131 Indianapolis Public Schools Math is Fun on Polynomial Behavior http://www.mathsisfun.com/algebra/polynomials-behave.html Math Portal online grapher http://www.mathportal.org/calculators/polynomialssolvers/polynomial-graphing-calculator.php Khan Academy http://www.khanacademy.org/math/algebra2/polynomial_and_rational /polynomial-end-behavior/v/polynomial-end-behavior Graphing Polynomial Functions http://mrloiselsclassroom.weebly.com/uploads/9/0/4/4/9044748/honor s_algebra_2_-_graphing_polynomial_functions.pdf Curriculum and Instruction Mathematics Pacing Resource Document Transformation Activity pages 121-122, plus practice #2-10. Examples# 1, 2, 3 and Guided Practice pages 124-125 TI 83/84 Graphing Activity http://education.ti.com/en/us/activity/detail?id=37042B8F036C410C91 693D1652B7EC9E NCTM Illuminations (Activity where students explore graphs of various polynomials) http://illuminations.nctm.org/Lesson.aspx?id=1091 Indianapolis Public Schools Curriculum and Instruction Mathematics Pacing Resource Document Algebra II – Quadratic Equations and Functions Strand Standard: AII.Q.2: Use completing the square to rewrite quadratic functions into the form y = a(x + h)^2 + k, and graph these functions with and without technology. Identify intercepts, zeros, domain and range, and lines of symmetry. Understand the relationship between completing the square and the quadratic formula. I can: Rewrite a quadratic function into vertex form (y = a(x + h)^2 + k) by completing the square. Graph quadratic functions with and without technology. Identify the features of the graph such as the intercepts, zeros, domain and range, and lines of symmetry. Understand the relationship between completing the square and the quadratic formula. Lesson Plans/Print Activities: Web-based Practice: Standard Algebra II - Glencoe McGraw-Hill Textbook Not Covered in first quarter Honors Algebra II – McDougal Littell Textbook Section 4.2 Graph Quadratic Functions in Vertex or Intercept Form Real-World p. 250 #51,53,55 Purple Math Tutorial: http://www.purplemath.com/modules/sqrvertx.htm Khan Academy Example: https://www.khanacademy.org/math/algebra/quadratics/completing_t he_square/v/ex3-completing-the-square Virtual Nerd: http://www.virtualnerd.com/algebra-2/quadratics/solveby-completing-square-roots/complete-square/completing-squareconvert-standard-to-vertex Algebra.Com Calculator: http://www.algebra.com/algebra/homework/Polynomials-and-rationalexpressions/completing-the-square.solver Indianapolis Public Schools Curriculum and Instruction Mathematics Pacing Resource Document Wolfram Calculator: http://www.wolframalpha.com/widgets/view.jsp?id=46bdcb86605346b 3d4d4ec68d8362811 Step by Step: http://www.mesacc.edu/~scotz47781/mat120/notes/graph_quads/vert ex_form/graph_quads_vertex_form.html Indianapolis Public Schools Curriculum and Instruction Mathematics Pacing Resource Document Algebra II – Systems of Equation Strand Standard: AII.SE.2: Solve systems of two or three linear equations in two or three variables algebraically and using technology. I can: Solve a system of two equations with two variables algebraically and using technology. Solve a system of three equations with three variables algebraically and using technology. Lesson Plans/Print Activities: Web-based Practice: Standard Algebra II - Glencoe McGraw-Hill Textbook Section 3.1 Solving Systems of Equations by Graphing(including p. 142) Graphing examples 1,2 plus CYP; exercises #1-8, 13-22; Real-World Example #3, page 136 plus CYP, Exercise #9 Section 3.2 Solving Systems of Equations Algebraically Algebraically Example 2 plus CYP for example 1 (Substitution) and example #2 page 144. Real-World example #1 page 143; Exercises #1, 27 Section 3.5 Systems of Equations in Three Variables Three Variable page 167-170 Example #1, 2; CYP and Margin Example. Infinite Solutions and no Solutions. Real-World example #3 page 170. Real-World Exercise #20. Wolfram Calculator solves and graphs systems (linear, non-linear and multiple variable): http://www.wolframalpha.com/widgets/view.jsp?id=5152e780160da6d e837938de237d7b82 Khan Academy Videos on Systems in three variables: https://www.khanacademy.org/math/algebra2/systems_eq_ineq/fancie r_systems_precalc/v/systems-of-three-variables Pearson Videos: http://www.phschool.com/webcodes10/index.cfm?fuseaction=home.go toWebCode&wcprefix=age&wcsuffix=0306 Worksheet for three variable systems: http://www.jmap.org/StaticFiles/PDFFILES/IA_Enrichment_Activities/IA1 0-6_Systems_with_Three_Variables.pdf Honors Algebra II – McDougal Littell Textbook Sections 3.1 Solving Linear Systems by Graphing Graphing Solve using table activity page 152; Examples # 1, 2, 3 plus guided practice; Real World Example # 4 page 154, # 35, 36, use TI84; Graph Systems Lab page 159 Indianapolis Public Schools Worksheet for three variable systems: http://www.jmap.org/StaticFiles/PDFFILES/WorksheetsByTopic/SYSTEM S/Drills/PR_Linear_Systems_in_Three_Dimensions.pdf Curriculum and Instruction Mathematics Pacing Resource Document Section 3.2 Solve Linear Systems Algebraically Algebraically Example # 1, 2 plus guided practice, Example 4 (Infinite or No Solution) Real World Example 3, Exercises # 55, 56. Section 3.4 Solve Systems of Linear Equations in Three Variables Three Variable Example #1, 2, 3 plus guided practice. RealWorld Example # 4 page 181; Chapter Exercises #42 page 184. Indianapolis Public Schools Curriculum and Instruction Mathematics Pacing Resource Document Algebra II – Systems of Equations Strand Standard: AII.SE.3: Represent real-world problems using a system of linear equations in three variables and solve such problems with and without technology. Interpret the solution and determine whether it is reasonable. I can: Use system of three equations with three variables to solve real-world problems with and without technology. Interpret the solutions and determine whether it is reasonable. Lesson Plans/Print Activities: Web-based Practice: Standard Algebra II - Glencoe McGraw-Hill Textbook Section 3.1 Solving Systems of Equations by Graphing Graphing Real World Example #3, page 136 plus CYP, Exercise #9 Section 3.2 Solving Systems of Equations Algebraically Algebraically Real World example #1 page 143; Exercises #1, 27 Section 3.5 Systems of Equations in three Variables Three Variable Real World example #3 page 170. Real World Exercise #20. Honors Algebra II – McDougal Littell Textbook Purple Math Systems word problems: http://www.purplemath.com/modules/systprob.htm Algebra Lab Online Word Problems with a check answer button: http://www.algebralab.org/practice/practice.aspx?file=Word_Applicatio nProblemFor3EquationsWith3Variables.xml Brain Genie: http://braingenie.ck12.org/skills/106763 Tutorial Example: http://www.sosmath.com/soe/SE3/SE3.html Khan Academy Example: http://www.khanacademy.org/math/algebra/systems-of-eq-andineq/systems-word-problems/v/algebraic-word-problem Section 3.1 Solving Linear Systems by Graphing Graphing Real World Example #4 page 154, exercises #35, 36, use TI84; Graph Systems Lab page 159 Section 3.2 Solve Linear Systems Algebraically Algebraically Real World Example #3, Exercises #55, 56. Indianapolis Public Schools Curriculum and Instruction Mathematics Pacing Resource Document Section 3.4 Solve Systems of Linear Equations in Three Variables. Three Variable Real World Example# 4 page 181; Chapter Exercises # 42 page 184. Indianapolis Public Schools Curriculum and Instruction