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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 I

Algebraic Concepts
Operations: Apply
The learner will be able to apply operations such as additioin, subtraction, multiplication, division, 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, and inequalities 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: 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
  
Computation: Develop/Apply
The learner will be able to develop and apply computation properties, 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 Equations: Solve
The learner will be able to obtain solutions to linear equations/inequalities.
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/inequality in two variables.
Strand Scope Source
Linear Equations Master PA: Academic Standards, January 16, 1999, Grade 11, p.14,2.8.11.N
  
Equations: Addition/Subtraction
The learner will be able to use addition or subtraction in one variable equations/inequalities to determine the value of the variable.
Strand Scope Source
Equations Master Bloomsburg Area School District
  
Equations: Multiplication/Division
The learner will be able to use multiplication or division in one variable equations/inequalities to determine the value of the variable.
Strand Scope Source
Equations Master Bloomsburg Area School District
  
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
  
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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: 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
  
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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 or x- and y-intercepts) 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
  
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.
  
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
  
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
  
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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.
  
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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
  
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
Perimeter/Area/Volume: Relating
The learner will be able to analyze the perimeter, area, and volume of figures to determine not only how they are related, but also how changes in one attribute will affect the other attributes.
Strand Scope Source
Perimeter/Area/Volume Master PA: Academic Standards, January 16, 1999, Grade 11, p.6,2.3.11.C
  
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Number Theory
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
Sequences: Reproduce/Extend/Create
The learner will be able to reproduce, extend, and create sequences.
Strand Scope Source
Sequences 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
  
Patterns: Give Examples/Other Areas
The learner will be able to give examples of patterns that exist in data from other content areas.
Strand Scope Source
Patterns Master PA: Academic Standards, January 16, 1999, Grade 11, p.13,2.8.11.B
  
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
Problem Solving: Events
The learner will be able to obtain solutions to problems involving independent simple events.
Strand Scope Source
Problem Solving Master PA: Academic Standards, January 16, 1999, Grade 11, p.11,2.7.11.E
  
Probability: Odds
The learner will be able to understand the difference between odds and probability.
Strand Scope Source
Probability Master PA: Academic Standards, January 16, 1999, Grade 11, p.11,2.7.11.A
  
Statistics: Analyze Data
The learner will be able to analyze and utilize statistics from real world situations: interpreting stem and leaf displays, analyzing frequency tables, finding mean, median, and mode.
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
  
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Computers: Show Ability
The learner will be able to show the ability to use computer spreadsheets and 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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