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Introduction
Ordering Info
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© 2004 by Bloomsburg Area School District and Scantron Corporation.
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Curriculum Designer by
Scantron Corporation

Bloomsburg Area School District
Math 9-12 10/22/04
Mathematics - Algebra II Honors

Algebraic Concepts
Linear System of Equations: Solve
The learner will be able to find the number of solutions of a system of linear equations, and/or tell whether the system is consistent (independent/dependent) or inconsistent.
Strand Scope Source
Linear Systems of Equations Master PA: Academic Standards, January 16, 1999, Grade 11, p.13,2.8.11.F
  
Operations: Apply
The learner will be able to apply operations such as opposite, reciprocal, absolute value, raising to a power, and finding roots.
Strand Scope Source
Operations Master PA: Academic Standards, January 16, 1999, Grade 11, p.2,2.1.11.A
  
Algebraic Concepts: Problem Scenarios
The learner will be able to create expressions, equations, inequalities, systems of equations and inequalities, and matrices to represent routine and non-routine problem scenarios.
Strand Scope Source
Algebraic Concepts Master PA: Academic Standards, January 16, 1999, Grade 11, p.13,2.8.11.D
  
Algebraic Concepts
The learner will be able to study and describe systems of equations and inequalities and matrices.
Strand Scope Source
Algebraic Concepts Master PA: Academic Standards, January 16, 1999, Grade 11, p.13,2.8.11.G
  
Algebraic Concepts: Relationship
The learner will be able to show the relationship between algebraic equations and inequalities and the geometry of relations in the coordinate plane.
Strand Scope Source
Algebraic Concepts Master PA: Academic Standards, January 16, 1999, Grade 11, p.14,2.8.11.J
  
Patterns: Analyze
The learner will be able to study a given set of data for the existence of a pattern and illustrate the pattern algebraically and graphically.
Strand Scope Source
Equality/Inequality Master PA: Academic Standards, January 16, 1999, Grade 11, p.13,2.8.11.A
  
Equality/Inequality: Choose/Apply
The learner will be able to choose and apply appropriate methods to solve systems of equations and inequalities using graphing calculators, symbol manipulators, spreadsheets, and other software.
Strand Scope Source
Equality/Inequality Master PA: Academic Standards, January 16, 1999, Grade 11, p.14,2.8.11.H
  
Computation: Develop/Apply
The learner will be able to develop and apply computation ideas, operations and procedures with real numbers in problem solving situations.
Strand Scope Source
Computation Master PA: Academic Standards, January 16, 1999, Grade 11, p.4,2.2.11.A
  
Linear System of Equations: Solve
The learner will be able to calculate solutions to systems of linear equations.
Strand Scope Source
Linear Systems of Equations Master PA: System of School Assessment, 1997, Grade 11, p.12,#5 week tested: 32.
  
Equations: Write
The learner will be able to use a given set of data points to write an equation for a line of best fit.
Strand Scope Source
Equations Master PA: Academic Standards, January 16, 1999, Grade 11, p.14,2.8.11.M
  
Linear Equations: Solve
The learner will be able to obtain solutions to linear equations.
Strand Scope Source
Linear Equations Master PA: Academic Standards, January 16, 1999, Grade 11, p.14,2.8.11.N
  
Linear Equations: Graph/Two-Variables
The learner will be able to graph a linear equation in two variables.
Strand Scope Source
Linear Equations Master PA: Academic Standards, January 16, 1999, Grade 11, p.14,2.8.11.N
  
Inequalities: System
The learner will be able to solve a system of inequalities.
Strand Scope Source
Inequalities Master PA: System of School Assessment, 1997, Grade 11, p.12,#5 week tested: 32.
  
Quadratic Equations: Solving
The learner will be able to solve quadratic equations using the appropriate method.
Strand Scope Source
Quadratic Equations/Formula Master PA: Academic Standards, January 16, 1999, Grade 11, p.14,2.8.11.N
  
Quadratic Equations: Graphing
The learner will be able to solve quadratic equations through graphing.
Strand Scope Source
Quadratic Equations/Formula Master PA: Academic Standards, January 16, 1999, Grade 11, p.14,2.8.11.N
  
Exponents: Solve/Equations
The learner will be able to solve equations involving exponents symbolically and graphically.
Strand Scope Source
Exponents Master PA: Academic Standards, January 16, 1999, Grade 11, p.14,2.8.11.N
  
Equality/Inequality/Expression
The learner will be able to interpret equations, expressions, and inequalities using graphs and tables.
Strand Scope Source
Equality/Inequality Master PA: System of School Assessment, 1997, Grade 11, p.12,#5 week tested: 32.
  
Computation: Error/Estimations
The learner will be able to explain the amount of error that is possible when using estimation in computation.
Strand Scope Source
Computation Master PA: Academic Standards, January 16, 1999, Grade 11, p.4,2.2.11.D
  
Nonlinear Equations: Represent/Curves
The learner will be able to represent curves using equations.
Strand Scope Source
Nonlinear Equations Master PA: Academic Standards, January 16, 1999, Grade 11, p.13,2.8.11.E
  
Polynomials: Addition/Subtraction
The learner will be able to add and subtract both monomials and polynomials.
Strand Scope Source
Polynomials Master Bloomsburg Area School District
  
Polynomials: Multiplication/Division
The learner will be able to multiply and divide both monomials and polynomials.
Strand Scope Source
Polynomials Master Bloomsburg Area School District
  
Polynomials/Factoring: Relationships
The learner will be able to demonstrate an understanding of the inverse relationship between multiplying binomials and factoring polynomials.
Strand Scope Source
Polynomials Master Bloomsburg Area School District
  
Polynomials: Factoring
The learner will be able to factor polynomials based on principles of factoring, and use combined types of factoring.
Strand Scope Source
Factoring Master Bloomsburg Area School District
  
Radicals: Addition/Subtraction
The learner will be able to combine radical terms, and find the simplest radical form.
Strand Scope Source
Radicals Master Bloomsburg Area School District
  
Radicals: Multiplication/Division
The learner will be able to find the product or quotient, rationalize denominators, and reduce the answer to simplest radical form.
Strand Scope Source
Radicals Master Bloomsburg Area School District
  
Radicals: Equations
The learner will be able to solve a radical equation by appropriate methods.
Strand Scope Source
Radicals Master Bloomsburg Area School District
  
Fundamental Theorem of Algebra
The learner will be able to identify and use the Fundamental Theorem of Algebra.
Strand Scope Source
Theorems Master Bloomsburg Area School District
  
Polynomial Equations: Relationships
The learner will be able to solve problems with polynomial equations by applying relationships between synthetic division, polynomial factoring, and rational root theorems.
Strand Scope Source
Polynomials Master Bloomsburg Area School District
  
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Calculus and Pre-Calculus
Matrices: Addition
The learner will be able to perform addition with matrices.
Strand Scope Source
Matrices Master PA: Academic Standards, January 16, 1999, Grade 11, p.14,2.8.11.I
  
Matrices: Subtracting
The learner will be able to perform subtraction with matrices.
Strand Scope Source
Matrices Master PA: Academic Standards, January 16, 1999, Grade 11, p.14,2.8.11.I
  
Matrices: Multiplication
The learner will be able to perform multiplication with matrices.
Strand Scope Source
Matrices Master PA: Academic Standards, January 16, 1999, Grade 11, p.14,2.8.11.I
  
Matrices: Scalar Multiplication
The learner will be able to perform scalar multiplication with matrices.
Strand Scope Source
Matrices Master PA: Academic Standards, January 16, 1999, Grade 11, p.14,2.8.11.I
  
Matrices: Organize Data
The learner will be able to use matrices to organize real world data.
Strand Scope Source
Matrices Master PA: Academic Standards, January 16, 1999, Grade 11, p.14,2.8.11.I
  
Matrices: Manipulate Data
The learner will be able to manipulate data using matrices.
Strand Scope Source
Matrices Master PA: Academic Standards, January 16, 1999, Grade 11, p.14,2.8.11.I
  
Matrices: Systems of Equations
The learner will be able to solve problems involving systems of equations using the properties of matrices.
Strand Scope Source
Matrices Master PA: System of School Assessment, 1997, Grade 11, p.12,#5 week tested: 32.
  
Conic Sections: Hyperbola
The learner will be able to use a given equation of a hyperbola in standard form to find the foci, vertices, and asymptotes and then graph the hyperbola.
Strand Scope Source
Conic Sections Master Bloomsburg Area School District
  
Conic Sections: Ellipse
The learner will be able to use a given equation of an ellipse in standard form to find the center, foci, and vertices, and then graph the ellipse.
Strand Scope Source
Conic Sections Master Bloomsburg Area School District
  
Conic Sections: Parabola
The learner will be able to use a given equation of a parabola to find the vector, focus, and direction and then graph the parabola.
Strand Scope Source
Conic Sections Master Bloomsburg Area School District
  
Conic Sections: Understanding Loci
The learner will be able to use manipulatives, graphs, and technology to demonstrate an understanding of conic sections and loci.
Strand Scope Source
Conic Sections Master Bloomsburg Area School District
  
Conic Sections: Circle
The learner will be able to use a given equation of a circle to find the center and radius and graph the circle.
Strand Scope Source
Conic Sections Master Bloomsburg Area School District
  
Conic Section: Determining Equation
The learner will be able to find the equation of a locus given the description.
Strand Scope Source
Conic Sections Master Bloomsburg Area School District
  
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Functions
Graphing: Linear Functions
The learner will be able to choose, account for, and use a suitable method (such as, slope-intercept, x- and y-intercepts, graphing calculators, and the use of transformations) to create a graph of a linear function with two variables.
Strand Scope Source
Graphing Functions Master PA: Academic Standards, January 16, 1999, Grade 11, p.14,2.8.11.K
  
Relations: Analyze
The learner will be able to study a relation, looking for the existence of either a direct or inverse variation, and illustrate it through algebraic or graphical means.
Strand Scope Source
Relations Master PA: Academic Standards, January 16, 1999, Grade 11, p.15,2.8.11.P
  
Graphing: Functions/Relations
The learner will be able to graph both functions and relations within the coordinate plane.
Strand Scope Source
Graphing Functions Master PA: System of School Assessment, 1997, Grade 11, p.12,#5 week tested: 32.
  
Exploring: Study/Categorize
The learner will be able to study and categorize functions according to their attributes.
Strand Scope Source
Exploring Master PA: Academic Standards, January 16, 1999, Grade 11, p.15,2.8.11.T
  
Representations: Problem Situations
The learner will be able to use functions to represent problem situations.
Strand Scope Source
Representations of Functions Master PA: Academic Standards, January 16, 1999, Grade 11, p.15,2.8.11.R
  
Relations: Domain/Range on Graph
The learner will be able to identify the domain and range for a relation shown on a graph.
Strand Scope Source
Relations Master PA: Academic Standards, January 16, 1999, Grade 11, p.15,2.8.11.O
  
Relations: Domain/Range
The learner will be able to find the domain and range for given relation presented as a set of ordered pairs.
Strand Scope Source
Relations Master PA: Academic Standards, January 16, 1999, Grade 11, p.15,2.8.11.O
  
Functions: Maximum/Minimum
The learner will be able to identify the maximum and minimum values of a function over a specified interval.
Strand Scope Source
Functions Master PA: Academic Standards, January 16, 1999, Grade 11, p.19,2.11.11.A
  
Functions: Interpret
The learner will be able to interpret functions.
Strand Scope Source
Functions Master PA: Academic Standards, January 16, 1999, Grade 11, p.15,2.8.11.R
  
Functions: Analyze
The learner will be able to analyze the general properties and behavior of functions.
Strand Scope Source
Functions Master PA: Academic Standards, January 16, 1999, Grade 11, p.15,2.8.11.S
  
Functional Relationships: Represent
The learner will be able to use tables, charts or graphs to represent a functional relationship.
Strand Scope Source
Functional Relationships Master PA: Academic Standards, January 16, 1999, Grade 11, p.15,2.8.11.Q
  
Polynomial Functions: Roots
The learner will be able to find both real and complex roots of polynomial functions.
Strand Scope Source
Polynomial Functions Master Bloomsburg Area School District
  
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Geometry
Similarity: Similar Figures/Apply
The learner will be able to understand and apply the concepts related to similar figures and properties of similar figures.
Strand Scope Source
Similarity Master PA: System of School Assessment, 1997, Grade 11, p.11,#3 week tested: 32.
  
Lines/Angles: Properties
The learner will be able to understand and/or apply properties of lines and/or angles.
Strand Scope Source
Lines/Angles/Polygons Master PA: System of School Assessment, 1997, Grade 11, p.11,#3 week tested: 32.
  
Constructions: Figures
The learner will be able to use different transformations to construct a geometric figure and its image.
Strand Scope Source
Constructions Master PA: Academic Standards, January 16, 1999, Grade 11, p.17,2.9.11.H
  
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Mathematics Processes
Mathematical Concepts: Communication
The learner will be able to apply symbols, mathematical terminology, standard notation, rules, graphing and other mathematical illustrations to communicate observations, predictions, ideas procedures, generalizations, and results.
Strand Scope Source
Communication Master PA: Academic Standards, January 16, 1999, Grade 11, p.8,2.5.11.B
  
Modeling: Create/Use
The learner will be able to create and use mathematical models (including lines and curves of best fit) to approximate values of related quantities.
Strand Scope Source
Mathematical Modeling Master PA: Academic Standards, January 16, 1999, Grade 11, p.4,2.2.11.C
  
Communication: Clearly
The learner will be able to communicate mathematical procedures and results clearly, systematically, succinctly and accurately.
Strand Scope Source
Communication Master PA: Academic Standards, January 16, 1999, Grade 11, p.8,2.5.11.C
  
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Measurement
Accuracy
The learner will be able to realize the degree of accuracy necessary in calculations is dependent upon how the results are going to be used and the tools used to find the measurements.
Strand Scope Source
Accuracy Master PA: Academic Standards, January 16, 1999, Grade 11, p.4,2.2.11.E
  
Accuracy: Choose/Apply Tools
The learner will be able to choose and use suitable tools and units to measure to the degree of accuracy required in a particular scenario.
Strand Scope Source
Accuracy Master PA: Academic Standards, January 16, 1999, Grade 11, p.6,2.3.11.A
  
Surface Area: Application
The learner will be able to solve real world application problems involving surface area measurements.
Strand Scope Source
Surface Area Master PA: System of School Assessment, 1997, Grade 11, p.11,#2 week tested: 32.
  
Measurement: Accuracy
The learner will be able to measure an object to a given degree of accuracy.
Strand Scope Source
Measurement: Application Master PA: Academic Standards, January 16, 1999, Grade 11, p.6,2.3.11.D
  
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Number Systems: Operations
The learner will be able to explore, apply, and/or understand operations as they are applied to various number systems.
Strand Scope Source
Number Systems Master PA: System of School Assessment, 1997, Grade 11, p.11,#1 week tested: 32.
  
Number Systems: Applying Properties
The learner will be able to understand and apply number systems and properties to model and solve problems including dealing with special number properties (i.e., 1, and 0).
Strand Scope Source
Number Systems Master PA: System of School Assessment, 1997, Grade 11, p.11,#1 week tested: 32.
  
Number Sense: Display/Knowledge
The learner will be able to display a knowledge of number sense.
Strand Scope Source
Number Sense Master PA: System of School Assessment, 1997, Grade 11, p.11,#1 week tested: 32.
  
Ratio/Proportion: Apply/Real World
The learner will be able to apply ratio and proportion concepts to solve real world scenario problems.
Strand Scope Source
Ratio/Proportion Master PA: System of School Assessment, 1997, Grade 11, p.11,#1 week tested: 32.
  
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Numeration
Patterns: Generalize/Recognition
The learner will be able to make generalizations based upon pattern recognition.
Strand Scope Source
Patterns: Generalize Master PA: System of School Assessment, 1997, Grade 11, p.12,#5 week tested: 32.
  
Patterns: Understand/Guess and Check
The learner will be able to understand the application of the guess and check method when searching for patterns.
Strand Scope Source
Patterns Master PA: Academic Standards, January 16, 1999, Grade 11, p.9,2.6.11.F
  
Estimate/Problems: No Exact Results
The learner will be able to make estimations and/or round-off to obtain problem solutions where exact results are not necessary.
Strand Scope Source
Estimate/Problems Master PA: Academic Standards, January 16, 1999, Grade 11, p.4,2.2.11.B
  
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Number Sense: Applying
The learner will be able to show an intuitive sense of what a percent is, and how percents are used in real world scenarios by completing sentences involving percentages with appropriate and reasonable choices.
Strand Scope Source
Number Sense Master PA: System of School Assessment, 1997, Grade 11, p.11,#1 week tested: 32.
  
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Probability/Statistics
Probability Distribution: Normal Curve
The learner will be able to explain (in non-specific terms) the normal curve and use its attributes in answering questions about data that is assumed to be normally distributed.
Strand Scope Source
Probability Distribution Master PA: Academic Standards, January 16, 1999, Grade 11, p.10,2.6.11.I
  
Data: Best Fit
The learner will be able to find the regression equation of best fit.
Strand Scope Source
Data Master PA: Academic Standards, January 16, 1999, Grade 11, p.9,2.6.11.C
  
Data Analysis: Maximum/Minimum
The learner will be able to interpret maximum and minimum values in problem scenarios.
Strand Scope Source
Data Analysis Master PA: Academic Standards, January 16, 1999, Grade 11, p.19,2.11.11.B
  
Statistical Data: Interpreting
The learner will be able to interpret statistical data.
Strand Scope Source
Statistics Master Bloomsburg Area School District
  
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Problem Solving
Solutions: Summarize/Evaluate
The learner will be able to finish a solution procedure with a summary of results and evaluate the degree to which the results are acceptable and validate reasoning.
Strand Scope Source
Solution Master PA: Academic Standards, January 16, 1999, Grade 11, p.8,2.5.11.D
  
Strategies: Choose/Apply
The learner will be able to choose and apply appropriate mathematical concepts and strategies from various areas of mathematics and use them to solve non-routine and multi-step problems.
Strand Scope Source
Strategies Master PA: Academic Standards, January 16, 1999, Grade 11, p.8,2.5.11.A
  
Solution: Illustrate
The learner will be able to illustrate mathematical solutions to problems.
Strand Scope Source
Solution Master PA: Academic Standards, January 16, 1999, Grade 11, p.7,2.4.11.E
  
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Real Numbers and the Coordinate Plane
Linear Equations: Graph/Two Points
The learner will be able to determine the equation of a line given the graph of the line or two points on the line.
Strand Scope Source
Linear Equations Master PA: Academic Standards, January 16, 1999, Grade 11, p.14,2.8.11.L
  
Linear Equations: Slope/Point
The learner will be able to determine the equation of a line given the slope and a point on the line.
Strand Scope Source
Linear Equations Master PA: Academic Standards, January 16, 1999, Grade 11, p.14,2.8.11.L
  
Distance Formula
The learner will be able to use the distance formula to find the distance between two coordinate points.
Strand Scope Source
Distance Formula Master Bloomsburg Area School District
  
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Computers: Show Ability
The learner will be able to show the ability to use scientific and graphing calculators.
Strand Scope Source
Computers Master PA: Academic Standards, January 16, 1999, Grade 11, p.4,2.2.11.F
  
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Problem Solving: Right Triangles
The learner will be able to recognize, create, and solve practical right triangle problems by applying trigonometric functions and the Pythagorean Theorem.
Strand Scope Source
Problem Solving Master PA: Academic Standards, January 16, 1999, Grade 11, p.18,2.10.11.B
  
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