Chalkboard

Superintendent Letter
Mission Statement
Introduction
Ordering Info
Copyright

© 2007 by Poyen School and Scantron Corporation.
All Rights Reserved.

Made with Curriculum Designer
Made with
Curriculum Designer by
Scantron Corporation

Poyen School
Poyen School Curriculum K - 12 2007-2008
Mathematics - Algebra II

Relations and Functions
Domain/range
The learner will be able to determine, with or without technology, the domain and range of a relation defined by a graph, a table of values, or a symbolic equation including those with restricted domains and whether a relation is a function.
Strand Bloom's Scope Hours Source Activities
Patterns, relations, functions, symbols   Master 1.0 2004 Arkansas Mathematics Frameworks RF.1.AII.1 amended 2006 Classroom
  Instructional Resources
 
· Algebra 2, McDougal Littell, 2004, Lesson 2.1 [Textbook].  
· Algebra 2, McDougal Littell, 2004, Lesson 9.2 Simple rational functions [Textbook].  
· Algebra 2, McDougal Littell, 2004, Lesson 9.3 general rational functions [Textbook].  
· Algebra 2, McDougal Littell, 2004, graphing calculator pg 546 graphing rational funct [Textbook].  
  
Operations with functions
The learner will be able to evaluate, add, subtract, multiply, divide, and compose functions and give appropriate domain and range restrictions.
Strand Bloom's Scope Hours Source Activities
Patterns, relations, functions, symbols   Master 1.0 2004 Arkansas Mathematics Frameworks RF.1.AII.2 amended 2006 Classroom
  Instructional Resources
 
· Algebra 2, McDougal Littell, 2004, Lesson 7.3 [Textbook].  
· Algebra 2, McDougal Littell, 2004, lesson 7.7 operations & functions [Textbook].  
  
Inverse of a function
The learner will be able to determine the inverse of a function (Graph, with and without appropriate technology, functions and their inverses).
Strand Bloom's Scope Hours Source Activities
Patterns, relations, functions, symbols   Master 1.0 2004 Arkansas Mathematics Frameworks RF.1.AII.3 amended 2006 Classroom
  Instructional Resources
 
· Algebra 2, McDougal Littell, 2004, Activity: Page 421 [Textbook].  
· Algebra 2, McDougal Littell, 2004, Lesson 7.4 [Textbook].  
· Algebra 2, McDougal Littell, 2004, Graphing Calculator Activity Page 430 [Textbook].  
· Algebra 2, McDougal Littell, 2004, lesson 7.8 find & graph inverse functions [Textbook].  
  
Changing parameters: affect on graph
The learner will be able to analyze and report, with and without appropriate technology, the effect of changing coefficients, exponents, and other parameters on functions and their graphs (linear, quadratic, and higher degree polynomial).
Strand Bloom's Scope Hours Source Activities
Patterns, relations, functions, symbols   Master 1.0 2004 Arkansas Mathematics Frameworks RF.1.AII.4 amended 2006 Classroom
  Instructional Resources
 
· Algebra 2, McDougal Littell, 2004, Lesson 2.3 (linear) [Textbook].  
· Algebra 2, McDougal Littell, 2004, Lesson 5.1 (quadratics) [Textbook].  
· Algebra 2, McDougal Littell, 2004, Lesson 6.8 (polynomials) [Textbook].  
· Algebra 2, McDougal Littell, 2004, Lesson 7.5 (square roots and cube roots):Optional [Textbook].  
· Algebra 2, McDougal Littell, 2004, Lesson 10.3 (circles): Optional [Textbook].  
· Algebra 2, McDougal Littell, 2004, Lesson 10.4 (ellipses): Optional [Textbook].  
· Algebra 2, McDougal Littell, 2004, Lesson 10.2 (quadratics) [Textbook].  
· Algebra 2, McDougal Littell, 2004, Lesson 10.5 (hyperbolas): optional [Textbook].  
· Algebra 2, McDougal Littell, 2004, Lesson 10.6 (classifying conics): optional [Textbook].  
· Algebra 2, McDougal Littell, 2004, lesson 2.2 (linear) [Textbook].  
· Algebra 2, McDougal Littell, 2004, page 10 technology, graphing calculator [Textbook].  
· Algebra 2, McDougal Littell, 2004, lesson 2.4 (linear) [Textbook].  
  
Piece-wise/step
The learner will be able to graph, with and without appropriate technology, functions defined as piece-wise and step.
Strand Bloom's Scope Hours Source Activities
Patterns, relations, functions, symbols   Master 1.0 2004 Arkansas Mathematics Frameworks RF.1.AII.5 amended 2006 Classroom
  Instructional Resources
 
· Algebra 2, McDougal Littell, 2004, lesson 2.7 [Textbook].  
· Algebra 2, McDougal Littell, 2004, Graphing Calculator Activity pg 121 [Textbook].  
  
Periodic Phenomena
The learner will be able to recognize periodic phenomena (sine or cosine functions such as sound waves, length of daylight, circular motion).
Strand Bloom's Scope Hours Source Activities
Patterns, relations, functions, symbols   Master 1.0 2004 Arkansas Mathematics Frameworks RF.1.AII.6 amended 2006 Classroom
  Instructional Resources
 
· Algebra 2, McDougal Littell, 2004, lesson 13.2 intro to radians & circular motion [Textbook].  
· Algebra 2, McDougal Littell, 2004, pg 829 application ferris wheel [Textbook].  
· Algebra 2, McDougal Littell, 2004, lesson 14.1 graphing trig functions [Textbook].  
  
Period Functions and graphs
The learner will be able to investigate and identify key characteristics of period functions and their graphs (period, amplitude, maximum, and minimum).
Strand Bloom's Scope Hours Source Activities
Patterns, relations, functions, symbols   Master 1.0 2004 Arkansas Mathematics Frameworks RF.1.AII.7 amended 2006 Classroom
  Instructional Resources
 
· Algebra 2, McDougal Littell, 2004, pg 829 application ferris wheel [Textbook].  
· Algebra 2, McDougal Littell, 2004, lesson 14.1 graphing trig functions [Textbook].  
  
Frequency and Amplitude
The learner will be able to use basic properties of frequency and amplitude to solve problems.
Strand Bloom's Scope Hours Source Activities
Patterns, relations, functions, symbols   Master 1.0 2004 Arkansas Mathematics Frameworks RF.1.AII.8 amended 2006 Classroom
  Instructional Resources
 
· Algebra 2, McDougal Littell, 2004, pg 829 application ferris wheel [Textbook].  
· Algebra 2, McDougal Littell, 2004, lesson 14.1 graphing trig functions [Textbook].  
  
Real World Situations: functions
The learner will be able to apply the concepts of functions to real world situations.
Strand Bloom's Scope Hours Source Activities
Patterns, relations, functions, symbols   Master 1.0 2004 Arkansas Mathematics Frameworks RF.1.AII.9 amended 2006 Classroom
  Instructional Resources
 
· Algebra 2, McDougal Littell, 2004, lesson 9.1 inverse, direct, joint variation [Textbook].  
· Algebra 2, McDougal Littell, 2004, lesson 9.6 rational equations [Textbook].  
  
top  

Linear/Absolute Value:Equations/Inequal
Absolute value equations/inequalities
The learner will be able to solve, with and without appropriate technology, abosolute value equations and inequalities written in one or two variable, and graph solutions.
Strand Bloom's Scope Hours Source Activities
Model, graph, solve, Synthesis Master 1.0 2004 Arkansas Mathematics Frameworks LEI.2.AII.1 amended 2006 Classroom
  Instructional Resources
 
· Algebra 2, McDougal Littell, 2004, lesson 1.7 one variable absolute value equations [Textbook].  and inequalities
· Algebra 2, McDougal Littell, 2004, lesson 2.6 two variable inequalities [Textbook].  
· Algebra 2, McDougal Littell, 2004, lesson 2.8- 2 variable absolute value [Textbook].  
· Algebra 2, McDougal Littell, 2004, lesson 3.6 solve systems of equations in 2 variabl [Textbook].  
  
Linear equations: two variables
The learner will be able to solve, with and without appropriate technology, systems of linear equations with two variables and graph the solution set.
Strand Bloom's Scope Hours Source Activities
Model, graph, solve,   Master 1.0 2004 Arkansas Mathematics Frameworks LEI.2.AII.2 amended 2006 Classroom
  Instructional Resources
 
· Algebra 2, McDougal Littell, 2004, lesson 3.1 graphing linear systems [Textbook].  
· Algebra 2, McDougal Littell, 2004, graphing calculator page 146 linear systems [Textbook].  
· Algebra 2, McDougal Littell, 2004, lesson 3.2 solving algebraically [Textbook].  
  
Matrices
The learner will be able to develop and apply, with and without appropriate technology, the basic operations and properties of matrices (associative, commutative, identity, and inverse).
Strand Bloom's Scope Hours Source Activities
Model, graph, solve,   Master 1.0 2004 Arkansas Mathematics Frameworks LEI.2.AII.3 amended 2006 Classroom
  Instructional Resources
 
· Algebra 2, McDougal Littell, 2004, lessons 4.1, 4.2, 4.3, 4.4, 4.5 [Textbook].  
· Algebra 2, McDougal Littell, 2004, graphing calculator-matrix operations, page 207 [Textbook].  
· Algebra 2, McDougal Littell, 2004, graphing calculator-solving systems, page 238 [Textbook].  
  
Linear Equations: three variables
The learner will be able to solve, with and without appropriate technology, systems of linear equations with three variables using algebraic methods, including matrices.
Strand Bloom's Scope Hours Source Activities
Model, graph, solve,   Master 1.0 2004 Arkansas Mathematics Frameworks LEI.2.AII.4 amended 2006 Classroom
  Instructional Resources
 
· Algebra 2, McDougal Littell, 2004, Lesson 3.6 [Textbook].  Solve a system of equations in 3 variables.
· Algebra 2, McDougal Littell, 2004, graphing calculator pg 238 solve a system [Textbook].  
  
Real World Situations: linear/absolute
The learner will be able to apply, with or without technology, the concepts of linear and absolute value equations and inequalities and systems of linear equations and inequalities to model real world situations including linear programming.
Strand Bloom's Scope Hours Source Activities
Model, graph, solve,   Master 1.0 2004 Arkansas Mathematics Frameworks LEI.2.AII.5 amended 2006 Classroom
  Instructional Resources
 
· Algebra 2, McDougal Littell, 2004, Lesson 3.1: graphing linear systems [Textbook].  
· Algebra 2, McDougal Littell, 2004, Graphing calculator: Page 146: linear systems [Textbook].  
· Algebra 2, McDougal Littell, 2004, Lesson 3.2: solving linear systems algebraically [Textbook].  
· Algebra 2, McDougal Littell, 2004, Lesson 3.3: [Textbook].  Graph and solve linear inequalities
· Algebra 2, McDougal Littell, 2004, Lesson 3.6 [Textbook].  Solve systems of equations with 3 variables algebraically, matrices and technology
· Algebra 2, McDougal Littell, 2004, lesson 1.3, 1.4, 1.5, 1.6, 2.5 [Textbook].  
· Algebra 2, McDougal Littell, 2004, graphing calculator activity pg 25, 48, 107 [Textbook].  technology
· Algebra 2, McDougal Littell, 2004, lesson 3.4 linear programming [Textbook].  
  
top  

Quadratic Equations and Functions
Computations with radicals
The learner will be able to perform computations with radicals: 1. Simplify radicals with different indices 2. Add, subtract, multiply, and divide radicals. 3. Rationalize denominators 4. Solve equations that contain radicals or radical expressions.
Strand Bloom's Scope Hours Source Activities
Analyze, Compare, Translate, Solve   Master 1.0 2004 Arkansas Mathematics Frameworks QEF.3.AII.1 amended 2006 Classroom
  Instructional Resources
 
· Algebra 2, McDougal Littell, 2004, Lesson 5.3: simplify radicals [Textbook].  Rationalize denominators, Multiplication of radicals, Division of radicals
· Algebra 2, McDougal Littell, 2004, Lesson 7.2: Computations with radicals [Textbook].  Rational Exponents
· Algebra 2, McDougal Littell, 2004, Lesson 10.1: Computations with radicals [Textbook].  distance and midpoint formulas
· Algebra 2, McDougal Littell, 2004, Lesson 7.6: Solve radical equations [Textbook].  
· Algebra 2, Merrill, lesson 6.1 simplify radicals [Textbook].  
· Algebra 2, Merrill, lesson 6.2 operations with radicals [Textbook].  
· Algebra 2, Merrill, lesson 6.3 operations with radicals [Textbook].  
· Algebra 2, Merrill, lesson 6.7 solving radical equations [Textbook].  
  
Complex numbers
The learner will be able to extend the number system to include the complex numbers 1. define the set of complex numbers 2. Add, subtract, multiply, and divide complex numbers 3. Rationalize denominators.
Strand Bloom's Scope Hours Source Activities
Analyze, Compare, Translate, Solve   Master 1.0 2004 Arkansas Mathematics Frameworks QEF.3.AII.2 amended 2006 Classroom
  Instructional Resources
 
· Algebra 2, McDougal Littell, 2004, Lesson 5.4 [Textbook].  
  
Solve quadratic equations
The learner will be able to analyze and solve quadratic equations with and without appropriate technology by 1. factoring 2. graphing 3. extracting the square root 4. completing the square 5. using the quadratic formula.
Strand Bloom's Scope Hours Source Activities
Analyze, Compare, Translate, Solve   Master 1.0 2004 Arkansas Mathematics Frameworks QEF.3.AII.3 amended 2006 Classroom
  Instructional Resources
 
· Algebra 2, McDougal Littell, 2004, Lesson 5.2: Solve quadratics by factoring [Textbook].  
· Algebra 2, McDougal Littell, 2004, Lesson 5.3: Solve quadratics by square roots [Textbook].  
· Algebra 2, McDougal Littell, 2004, Graphing calculator activity: page 271 [Textbook].  Solve quadratic equations
· Algebra 2, McDougal Littell, 2004, Lesson 5.5: solve quadratics:completing the square [Textbook].  
· Algebra 2, McDougal Littell, 2004, Lesson 5.6: Solve equations: quadratic formula [Textbook].  
  
Derive quadratic formula
The learner will be able to derive the quadratic formula and use it to solve equations.
Strand Bloom's Scope Hours Source Activities
Analyze, Compare, Translate, Solve   Master 1.0 2004 Arkansas Mathematics Frameworks QEF.3.AII.4 amended 2006 Classroom
  Instructional Resources
 
· Algebra 2, McDougal Littell, 2004, lesson 5.6 derive & Use quadratic formula [Textbook].  
  
Quadratic Relations
The learner will be able to develop and analyze, with and without appropriate technology, quadratic relations 1. graph a parabolic relationship when given its equation 2. write an equation when given its roots (zeros or solutions) or graph 3. determine the nature of the solutions graphically and by evaluating the discriminant 4. determine the maximum or minimum values and the axis of symmetry both graphically and algebraically.
Strand Bloom's Scope Hours Source Activities
Analyze, Compare, Translate, Solve   Master 1.0 2004 Arkansas Mathematics Frameworks QEF.3.AII.5 amended 2006 Classroom
  Instructional Resources
 
· Algebra 2, McDougal Littell, 2004, lesson 5.1 graph quadratics [Textbook].  
· Algebra 2, McDougal Littell, 2004, graphing calculator pg 290, find max & min [Textbook].  
· Algebra 2, McDougal Littell, 2004, lesson 5.6 determine the nature of a solution by [Textbook].  evaluating discriminant
· Algebra 2, McDougal Littell, 2004, lesson 10.2 analyze quadratics [Textbook].  
  
Real Word Situations: quadratic eq/funct
The learner will be able to apply the concepts of quadratic equations and functions to model real world situations by using appropriate technology when needed.
Strand Bloom's Scope Hours Source Activities
Analyze, Compare, Translate, Solve   Master 1.0 2004 Arkansas Mathematics Frameworks QEF.3.AII.6 amended 2006 Classroom
  Instructional Resources
 
· Algebra 2, McDougal Littell, 2004, lesson 5.8 quadratic scatter plots [Textbook].  
  
top  

Polynomial and Rational Functions
Factors of polynomials
The learner will be able to determine the factors of polynomials by : 1. Using factoring techniques including grouping and the sum or difference of two cubes. 2. Using long division 3. Using synthetic division.
Strand Bloom's Scope Hours Source Activities
Analyze, Compare, Translate, Solve   Master 1.0 2004 Arkansas Mathematics Frameworks PRF.4.AII.1 amended 2006 Classroom
  Instructional Resources
 
· Algebra 2, McDougal Littell, 2004, Lesson 6.4: Using factoring techniques [Textbook].  
· Algebra 2, McDougal Littell, 2004, Lesson 6.5: long and synthetic division [Textbook].  
  
Graph of polynomial functions
The learner will be able to analyze and sketch, with and without appropriate technology, the graph of a given polynomial function, determining the characteristics of domain and range, maximum and minimum points, end behavior, zeros, multiplicity of zeros, y-intercept, and symmetry.
Strand Bloom's Scope Hours Source Activities
Analyze, Compare, Translate, Solve   Master 1.0 2004 Arkansas Mathematics Frameworks PRF.4.AII.2 amended 2006 Classroom
  Instructional Resources
 
· Algebra 2, McDougal Littell, 2004, Lesson 6.2: Analyze polynomial functions & graphs [Textbook].  Describe end behavior, sketch the graph
· Algebra 2, McDougal Littell, 2004, Graphing calculator activity: page 337 [Textbook].  Analyze polynomial graphs
· Algebra 2, McDougal Littell, 2004, Lesson 6.7: Write an equation [Textbook].  find all zeros
· Algebra 2, McDougal Littell, 2004, Lesson 6.8: Analyze Graphs of polynomial functions [Textbook].  Determine x and y intercepts, determine end behavior, sketch graph
· Algebra 2, McDougal Littell, 2004, lesson 6.6 find real zeros [Textbook].  
  
Write equation of polynomial
The learner will be able to write the equation of a polynomial function given its roots.
Strand Bloom's Scope Hours Source Activities
Analyze, Compare, Translate, Solve   Master 1.0 2004 Arkansas Mathematics Frameworks PRF.4.AII.3 amended 2006 Classroom
  Instructional Resources
 
· Algebra 2, McDougal Littell, 2004, Lesson 6.7: write equation given roots [Textbook].  
  
Identify polynomial equation
The learner will be able to identify the equation of a polynomial function given its graph or table.
Strand Bloom's Scope Hours Source Activities
Analyze, Compare, Translate, Solve   Master 1.0 2004 Arkansas Mathematics Frameworks PRF.4.AII.4 amended 2006 Classroom
  Instructional Resources
 
· Algebra 2, McDougal Littell, 2004, lesson 6.2, identify equation given graph/table [Textbook].  
  
Power functions
The learner will be able to identify the characteristics of graphs of power functions of the for f(x) = ax to the nth power, for negative integral values of n, including domain, range, end behavior, and behavior at x=0, and compare these characteristics to the graphs of related positive integral power functions.
Strand Bloom's Scope Hours Source Activities
Analyze, Compare, Translate, Solve   Master 1.0 2004 Arkansas Mathematics Frameworks PRF.4.AII.5 amended 2006 Classroom
  Instructional Resources
 
· Algebra 2, McDougal Littell, 2004, lesson 7.5, graphing square & cube roots [Textbook].  
  
Rational expressions
The learner will be able to simplify, add, subtract, multiply, and divide with rational expressions.
Strand Bloom's Scope Hours Source Activities
Analyze, Compare, Translate, Solve   Master 1.0 2004 Arkansas Mathematics Frameworks PRF.4.AII.6 amended 2006 Classroom
  Instructional Resources
 
· Algebra 2, McDougal Littell, 2004, lesson 9.4, multiply & divide [Textbook].  
· Algebra 2, McDougal Littell, 2004, lesson 9.5 add & subtract [Textbook].  
  
Radical expressions/rational exponents
The learner will be able to establish the relationship between radical expressions and expressions containing rational exponents.
Strand Bloom's Scope Hours Source Activities
Analyze, Compare, Translate, Solve   Master 1.0 2004 Arkansas Mathematics Frameworks PRF.4.AII.7 amended 2006 Classroom
  Instructional Resources
 
· Algebra 2, McDougal Littell, 2004, Lesson 7.1 [Textbook].  Relationship between rational exponents and radicals
· Algebra 2, Merrill, lesson 6.4, rel. between rational exponent & radic [Textbook].  
  
Simplify rational exponents
The learner will be able to simplify variable expressions containing rational exponents using the laws of exponents.
Strand Bloom's Scope Hours Source Activities
Analyze, Compare, Translate, Solve   Master 1.0 2004 Arkansas Mathematics Frameworks PRF.4.AII.8 amended 2006 Classroom
  Instructional Resources
 
· Algebra 2, McDougal Littell, 2004, Lesson 6.1: Laws of exponents [Textbook].  
· Algebra 2, McDougal Littell, 2004, Lesson 6.3: polynomial operations [Textbook].  
· Algebra 2, McDougal Littell, 2004, Lesson 7.1: Simplify rational exponents [Textbook].  
· Algebra 2, McDougal Littell, 2004, Lesson 7.2: properties of rational exponents [Textbook].  
· Algebra 2, Merrill, lesson 6.6, negative and rational exponents [Textbook].  
  
top  

Exponential and Logarithmic Functions
Recognize graphs of exponential function
The learner will be able to recognize the graphs of exponential functions distinguishing between growth and decay.
Strand Bloom's Scope Hours Source Activities
Graph, Inverse relationship, apply   Master 1.0 2004 Arkansas Mathematics Frameworks ELF.5.AII.1 amended 2006 Classroom
  Instructional Resources
 
· Algebra 2, McDougal Littell, 2004, Lesson 8.1: exponential growth functions [Textbook].  
· Algebra 2, McDougal Littell, 2004, Lesson 8.2: Exponential decay functions [Textbook].  
· Algebra 2, McDougal Littell, 2004, Lesson 8.3: Exponential functions using e [Textbook].  
  
Exponential functions/characteristics
The learner will be able to graph exponential functions and identify key characteristics: domain, range, intercepts, asymptotes, and end behavior.
Strand Bloom's Scope Hours Source Activities
Graph, Inverse relationship, apply   Master 1.0 2004 Arkansas Mathematics Frameworks ELF.5.AII.2 amended 2006 Classroom
  Instructional Resources
 
· Algebra 2, McDougal Littell, 2004, lesson 8.1 growth [Textbook].  
· Algebra 2, McDougal Littell, 2004, lesson 8.2 decay [Textbook].  
· Algebra 2, McDougal Littell, 2004, lesson 8.3 base e [Textbook].  
  
Changes in Parameters of exponential
The learner will be able to identify the effect that changes in the parameters of the base have on the graph of the exponential function.
Strand Bloom's Scope Hours Source Activities
Graph, Inverse relationship, apply   Master 1.0 2004 Arkansas Mathematics Frameworks ELF.5.AII.3 amended 2006 Classroom
  Instructional Resources
 
· Algebra 2, McDougal Littell, 2004, lesson 8.1 growth [Textbook].  
· Algebra 2, McDougal Littell, 2004, lesson 8.2 decay [Textbook].  
· Algebra 2, McDougal Littell, 2004, lesson 8.3 base e [Textbook].  
  
Recognize/Solve problems
The learner will be able to recognize and solve problems that can be modeled using exponential functions.
Strand Bloom's Scope Hours Source Activities
Graph, Inverse relationship, apply   Master 1.0 2004 Arkansas Mathematics Frameworks ELF.5.AII.4 amended 2006 Classroom
  Instructional Resources