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Mathematics

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Introduction
Ordering Info

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Penn-Trafford School District
Penn-Trafford Secondary Mathematics
Mathematics - Algebra 2

Algebraic Concepts
Algebraic Concepts
The learner will be able to study and describe systems of equations and inequalities and matrices.
Scope Activities
Master Home
  
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.
Scope Activities
Master Home
  
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.
Scope Activities
Reinforce Home
  
Factoring: Polynomials
The learner will be able to factor trinomials, perfect square trinomials, or the difference between two squares.
Scope Activities
Master Home
  
Polynomials: Synthetic Division
The learner will be able to apply synthetic division to determine the zeros of polynomial functions.
Scope Activities
Master Home
  
Equations: Choose/Apply
The learner will be able to choose and apply appropriate methods to solve systems of equations and inequalities using paper and pencil, computer and/or graphing calculators.
Scope Activities
Reinforce Home
  
Systems of Equations: Linear
The learner will be able to find the number of solutions of a system of linear and non-linear equations, and tell whether the system is consistent (independent/dependent) or inconsistent.
Scope Activities
Master Home
  
Computation: Error/Estimations
The learner will be able to explain the amount of error that is possible when using estimation in computation.
Scope Activities
Master Home
  
Equations: Illustrate Curves
The learner will be able to represent curves using equations.
Scope Activities
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Quadratic Equations: Graphing
The learner will be able to solve quadratic equations through graphing.
Scope Activities
Master Home
  
Simplify Logarithms
The learner will be able to simplify logarithmic expressions.
Scope Activities
Master Home
  
Logarithmic Equations: Exponents
The learner will be able to express logarithmic equations using exponents.
Scope Activities
Master Home
  
Logarithms/Exponents: Simplifying
The learner will be able to use relationships between logarithms and exponents to simplify expressions.
Scope Activities
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Logarithms: Express as Exponents
The learner will be able to transform logarithmic equations into exponential equations and vice versa.
Scope Activities
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Logarithms: Solving/Variable Exponent
The learner will be able to solve an expression in the form a X b to the x power = c for x using logarithms.
Scope Activities
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Logarithms: Radicals/Exponents
The learner will be able to express radicals as exponents and evaluate a logarithmic expression in terms of exponents.
Scope Activities
Master Home
  
Exponential Equations: Solve
The learner will be able to solve quadratic equations by factoring and the quadratic formula.
Scope Activities
Master Home
  
Equations: Solve/Logarithms
The learner will be able to obtain solutions to equations involving logarithms and exponents.
Scope Activities
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Exponents: Fractional Exponents
The learner will be able to correctly manipulate fractional exponents, understanding their relationship to radicals raised to integral exponents.
Scope Activities
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Exponents: Negative Exponents
The learner will be able to correctly manipulate numbers with negative exponents, understanding their reciprocal nature.
Scope Activities
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Exponents: Rules
The learner will be able to state rules pertaining to operations with exponents.
Scope Activities
Master Home
  
Exponents: Use/Laws of Exponents
The learner will be able to use the laws of exponents.
Scope Activities
Master Home
  
Expressions: Simplify/Fraction Exponents
The learner will be able to simplify rational expressions which have fractional exponents.
Scope Activities
Master Home
  
Equality/Inequality/Expression
The learner will be able to interpret equations, expressions, and inequalities using graphs and tables.
Scope Activities
Reinforce Home
  
Polynomials: Multiplying
The learner will be able to multiply 2 binomials to make a trinomial.
Scope Activities
Master Home
  
Quadratic Equations: Solving
The learner will be able to solve quadratic equations using the appropriate method.
Scope Activities
Master Home
  
Quadratic Equations: Complete the Square
The learner will be able to determine the roots and solution of a quadratic equation by completing the square and factoring.
Scope Activities
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Quadratic Equations: Graphing
The learner will be able to graph a quadratic equation on the coordinate plane, put equation in standard form, translate graph in all directions from origin.
Scope Activities
Master Home
  
Quadratic Equation: Quadratic Formula
The learner will be able to solve quadratic equations by applying the quadratic formula.
Scope Activities
Master Home
  
Quadratic Formula
The learner will be able to describe the discriminant, identify the quadratic formula and solve an equation using the quadratic formula.
Scope Activities
Master Home
  
Graphing/2 Variables
The learner will be able to graph a linear equation in two variables: including equations in slope intercept form and standard form.
Scope Activities
Reinforce Home
  
Linear Equations: Solve
The learner will be able to obtain solutions to linear equations.
Scope Activities
Reinforce Home
  
Order of Operations: Applying Rules
The learner will be able to use the rules of order of operations to obtain the value of expressions.
Scope Activities
Master Home
  
Inequalities: Algebraic/Solve
The learner will be able to obtain solutions to algebraic inequalities and graph them on a number line.
Scope Activities
Master Home
  
Inequalities: System
The learner will be able to solve a system of inequalities/2 variables using graphing.
Scope Activities
Master Home
  
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.
Scope Activities
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Rationalizing Denominators
The learner will be able to simplify square roots within the denominator of a fraction.
Scope Activities
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Absolute Value Problems
The learner will be able to solve absolute value problems.
Scope Activities
Master Home
  
Absolute Value: Solve/Equations
The learner will be able to find the solution to absolute value equations containing one absolute value expression.
Scope Activities
Master Home
  
Absolute Value: Solve/Inequalities
The learner will be able to obtain solutions to absolute value inequalities.
Scope Activities
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Calculus and Pre-Calculus
Matrices: Systems of Equations
The learner will be able to solve problems involving systems of equations using the properties of matrices and Cramer's Rule.
Scope Activities
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Matrices: Addition
The learner will be able to perform addition with matrices.
Scope Activities
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Matrices: Manipulate Data
The learner will be able to manipulate data using matrices.
Scope Activities
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Matrices: Multiplication
The learner will be able to perform multiplication with matrices.
Scope Activities
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Matrices: Organize Data
The learner will be able to use matrices to organize real-world data.
Scope Activities
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Matrices: Scalar Multiplication
The learner will be able to perform scalar multiplication with matrices.
Scope Activities
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Matrices: Subtracting
The learner will be able to perform subtraction with matrices.
Scope Activities
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Complex Nos: Operations
The learner will be able to perform addition, subtraction, and multiplication of rationalized complex nos.
Scope Activities
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Data Interpretation
Line Graphs: Piecewise Linear
The learner will be able to graph different linear equations over different domains.
Scope Activities
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Fractions
Add/Subtract Fractions: Like/Unlike
The learner will be able to perform the addition and subtraction of like and unlike algebraic fractions and mixed numerals.
Scope Activities
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Fractions: Multiply/Divide
The learner will be able to multiply and divide algebraic fractions and mixed numbers.
Scope Activities
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Functions
Graphing: Functions/Relations
The learner will be able to graph both functions and relations within the coordinate plane.
Scope Activities
Reinforce Home
  
Inverse Functions: Study
The learner will be able to study inverse functions using transformations, determine the inverse of a function algebraically.
Scope Activities
Master Home
  
Functions: Composition
The learner will be able to form the composition of functions.
Scope Activities
Master Home
  
Absolute Value Function: Graph
The learner will be able to graph an absolute value function.
Scope Activities
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Functions: Analyze
The learner will be able to analyze the general properties and behavior of functions.
Scope Activities
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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.
Scope Activities
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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.
Scope Activities
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Circular Functions: Display
The learner will be able to display periodic and circular functions using pencil and paper and graphing calculators.
Scope Activities
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Function: Maximum/Minimum
The learner will be able to identify the maximum and minimum values of a function over a specified interval.
Scope Activities
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Functional Relationships: Represent
The learner will be able to use tables, charts or graphs to represent a functional relationship.
Scope Activities
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Functions: Interpret
The learner will be able to interpret functions.
Scope Activities
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Functions: Study/Categorize
The learner will be able to study and categorize functions according to their attributes.
Scope Activities
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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.
Scope Activities
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Representations: Problem Situations
The learner will be able to use functions to represent problem situations.
Scope Activities
Master Home
  
Trigonometric Functions: Graph/Analyze
The learner will be able to analyze the graphs of trigonometric functions.
Scope Activities
Introduce Home
  
Exponential Functions: Graph
The learner will be able to graph exponential functions.
Scope Activities
Reinforce Home
  
Exponential Functions: Investigate
The learner will be able to apply exponential growth or decay to investigate exponential functions.
Scope Activities
Reinforce Home
  
Exponential Functions: Real World
The learner will be able to solve real world problems involving exponential functions.
Scope Activities
Reinforce Home
  
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Geometry
Circle: Equation
The learner will be able to determine the correct equation of a circle given its center point and radius.
Scope Activities
Reinforce Home
  
Circle: Identify/Center/Radius
The learner will be able to recognize the center and radius of a circle when given the equation of a circle in standard form.
Scope Activities
Reinforce Home
  
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Mathematics Processes
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.
Scope Activities
Master Home
  
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.
Scope Activities
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Communication: Clearly
The learner will be able to communicate mathematical procedures and results clearly, systematically, succinctly and accurately.
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Number Theory
Square Roots
The learner will be able to calculate squares and square roots with a calculator and estimate square roots mentally.
Scope Activities
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Logarithms: Evaluate
The learner will be able to determine the value of a number written in logarithmic notation.
Scope Activities
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Logarithms: Properties
The learner will be able to apply logarithmic properties.
Scope Activities
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Logarithms: Problem Solving
The learner will be able to apply the inverse relationship that exists between exponents and logarithms to obtain problem solutions where those concepts are involved.
Scope Activities
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Radicals
The learner will be able to simplify radicals.
Scope Activities
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Numeration
Sequence: Analyzing
The learner will be able to reproduce, extend, and create sequences.
Scope Activities
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Sequences/Series: Understand/Notation
The learner will be able to comprehend formal notation of sequences and series.
Scope Activities
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Sequences: Patterns/Recursive Formulas
The learner will be able to use patterns of sequences and recursive or generator formulas to find additional terms of a sequence.
Scope Activities
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Sequences: Determine Terms
The learner will be able to determine indicated terms in sequences.
Scope Activities
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Sequence: Write/Explicit Rule
The learner will be able to write an explicit rule for finding the nth term of arithmetic and geometric sequences.
Scope Activities
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Sequences/Series: Recursive Processes
The learner will be able to express series and sequences by applying recursive processes.
Scope Activities
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Direct Variation
The learner will be able to deal with direct variation in terms of graphs, rates (slopes), and constants (proportional).
Scope Activities
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Direct Variation: Problem Solving
The learner will be able to obtain solutions to word problems involving direct variation.
Scope Activities
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Inverse Variation: Define
The learner will be able to define an inverse variation.
Scope Activities
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Inverse Variation: Problem Solving
The learner will be able to obtain solutions to word problems involving inverse variation.
Scope Activities
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Inverse Variation: Graph
The learner will be able to graph an inverse variation.
Scope Activities
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Direct/Inverse Variation: Graphically
The learner will be able to graphically solve problems involving direct and inverse variation.
Scope Activities
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Variation: Joint/Combined
The learner will be able to use joint and combined variation in solving problems.
Scope Activities
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Pattern: Problem Solving
The learner will be able to use pattern recognition to solve problems.
Scope Activities
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Patterns: Other Content Areas
The learner will be able to give examples of patterns that exist in data from other content areas.
Scope Activities
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Series: Sum of Infinite Geometric
The learner will be able to determine the sum of an infinite geometric series.
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Probability/Statistics
Data Analysis: Maximum/Minimum
The learner will be able to interpret maximum and minimum values in problem scenarios.
Scope Activities
Master Home
  
Data Management: Organize/Study
The learner will be able to use technology to organize and study data acquired from the local community (optional).
Scope Activities
Introduce Home
  
Data: Statistical Measures
The learner will be able to explain data as an example of distribution applying statistical measures of center and spread.
Scope