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Bloomsburg Area School District |
Math 9-12 10/22/04 |
Mathematics - Algebra II |
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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 |
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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 |
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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 |
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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 |
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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 |
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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 |
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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 |
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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 |
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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. |
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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 |
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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 |
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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 |
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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. |
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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 |
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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 |
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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 |
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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. |
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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 |
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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 |
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Operations: Apply
The learner will be able to
apply operations such as opposite, reciprocal, absolute value, raising to a power, finding roots, and finding logarithms.
Strand |
Scope |
Source |
Operations |
Master |
PA: Academic Standards, January 16, 1999, Grade 11, p.2,2.1.11.A |
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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 |
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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 |
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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 |
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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 |
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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 |
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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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Radicals: Equations
The learner will be able to
solve a radical equation by appropriate methods.
Strand |
Scope |
Source |
Radicals |
Master |
Bloomsburg Area School District |
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Calculus and Pre-Calculus
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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 |
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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 |
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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 |
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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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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 |
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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 |
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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. |
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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 |
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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 |
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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. |
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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 |
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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 |
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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 |
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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 |
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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 |
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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 |
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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 |
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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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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. |
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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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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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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 |
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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 |
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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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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 |
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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 |
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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. |
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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. |
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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. |
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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. |
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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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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. |
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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 |
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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 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 |
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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 |
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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 |
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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 |
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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 |
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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
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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 |
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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 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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