Chalkboard
Index
 
Mathematics

Copyright
Introduction
Ordering Info

© 2002 by Penn-Trafford School District and EdVISION.com.
All Rights Reserved.

Made with Curriculum Designer
Made with
Curriculum Designer by
EdVISION.com

Penn-Trafford School District
Penn-Trafford Secondary Mathematics
Mathematics - Algebra 3

Algebraic Concepts
Quadratic Relations: Graph/Apply
The learner will be able to graph and apply quadratic relations to obtain solutions to problems.
Scope Activities
Master Home
  
Equations: Story Problems
The learner will be able to determine equations for and solve problems in the context of real world scenarios.
Scope Activities
Master Home
  
Equality/Inequality: Solving
The learner will be able to solve equations and inequalities.
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 graphing calculators, symbol manipulators, spreadsheets, and other software.
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
Master Home
  
Systems of Equations: Linear
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.
Scope Activities
Master Home
  
Exponential Equations: Solve
The learner will be able to solve equations involving exponents symbolically and graphically.
Scope Activities
Master Home
  
Quadratic Equations: Graphing
The learner will be able to solve quadratic equations through graphing.
Scope Activities
Master Home
  
Quadratic Equations: Solving
The learner will be able to solve quadratic equations using the appropriate method.
Scope Activities
Master Home
  
Rates: Graph/Growth/Decay
The learner will be able to graph rates of growth and decay.
Scope Activities
Master Home
  
Rates: Interpret/Growth/Decay
The learner will be able to interpret rates of growth and decay.
Scope Activities
Master Home
  
top  

Calculus and Pre-Calculus
Relations: Determine Inverse
The learner will be able to determine the inverse of a relation and the domain of the inverse.
Scope Activities
Master Home
  
Relations: Max/Min
The learner will be able to determine coordinates of maximum or minimum points of a given relation.
Scope Activities
Master Home
  
Relations: Write Equation
The learner will be able to write the equation of a relation when given a group of data, attributes, or other descriptions of its behavior.
Scope Activities
Master Home
  
Relations: Graph Transformations
The learner will be able to graph transformations and combinations of transformations for each relation.
Scope Activities
Master Home
  
Complex Numbers: Trig Form
The learner will be able to apply the trigonometric form of complex numbers.
Scope Activities
Master Home
  
Complex Numbers: Absolute Value
The learner will be able to determine absolute value of complex numbers and relate that to real numbers.
Scope Activities
Master Home
  
Complex Numbers: DeMoivre's Theorem
The learner will be able to determine powers and roots of complex numbers by using DeMoivre's theorem.
Scope Activities
Master Home
  
Matrices: Interpret Linear Systems
The learner will be able to interpret linear systems of equations as matrices consisting of their coefficients.
Scope Activities
Master Home
  
top  

Data Interpretation
Bar Graphs: Proportional Relationships
The learner will be able to use proportional relationships to extrapolate values on a bar graph.
Scope Activities
Reinforce Home
  
Graphs: Identify Question
The learner will be able to analyze a given graph and determine what question can be answered using this information.
Scope Activities
Master Home
  
top  

Discrete Mathematics
Recursion: Apply
The learner will be able to apply recursive relations to model growth and decay and compare with y = ab to the x power and y = (1 + r) to the x power forms.
Scope Activities
Master Home
  
top  

Functions: Write Equation
The learner will be able to write the equation of a function from a given group of data or other descriptions of its behavior.
Scope Activities
Master Home
  
Functions: Analyze
The learner will be able to analyze a function by decomposing it into simpler functions.
Scope Activities
Master Home
  
Functions: Make/Apply
The learner will be able to make and apply mathematical models of linear, polynomial, exponential, trigonometric, power, and logarithmic functions to obtain solutions to problems.
Scope Activities
Master Home
  
Functions: Graph/Apply
The learner will be able to graph and apply basic functions to obtain solutions to problems.
Scope Activities
Master Home
  
Functions/Relations: Problem Solving
The learner will be able to graph and apply relations and functions to obtain solutions to problems.
Scope Activities
Master Home
  
Compositions
The learner will be able to find the composition of functions and the domain of the result of the composition.
Scope Activities
Master Home
  
Trigonometric Functions: Graph
The learner will be able to sketch the graph of all of the six trigonometric functions and determine the period of each.
Scope Activities
Master Home
  
Trigonometric Functions
The learner will be able to find and/or investigate the domain and/or range of inverse trigonometric functions.
Scope Activities
Master Home
  
Trig. Functions: Analyze/Graph
The learner will be able to analyze and graph compositions of trigonometric and inverse trigonometric functions.
Scope Activities
Master Home
  
Trigonometric Functions: Identify/Graph
The learner will be able to identify and graph transformations of all of the six trigonometric functions.
Scope Activities
Master Home
  
Trig. Functions: Solve/Inverse
The learner will be able to solve for the values of inverse trigonometric functions and apply appropriate domain and range restrictions.
Scope Activities
Master Home
  
Graphing: Transformations
The learner will be able to graph transformations and combinations of transformations for each function.
Scope Activities
Master Home
  
Functions: Max/Min/Coordinates
The learner will be able to determine coordinates of maximum or minimum points of a given function.
Scope Activities
Master Home
  
Functions: Continuous
The learner will be able to identify whether a given function is continuous.
Scope Activities
Master Home
  
Functions: Discontinuity
The learner will be able to determine discontinuous functions and find points of discontinuity.
Scope Activities
Master Home
  
Inverses: Finding
The learner will be able to find the inverse of a given function.
Scope Activities
Master Home
  
Trig. Functions: Model
The learner will be able to apply the trigonometric functions to model periodic phenomena.
Scope Activities
Master Home
  
Trigonometric Functions: Problem Solve
The learner will be able to apply trigonometric and inverse trigonometric functions to obtain solutions to problems.
Scope Activities
Master Home
  
Trigonometric Functions: State
The learner will be able to state the tangent, cotangent, secant, and cosecant functions in terms of sine and cosine.
Scope Activities
Master Home
  
Graphing: Symmetry/Describe
The learner will be able to describe how the graphs of functions are symmetrical.
Scope Activities
Master Home
  
Functions: Analyze
The learner will be able to analyze the general properties and behavior of functions.
Scope Activities
Master Home
  
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.
Scope Activities
Master Home
  
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
Master Home
  
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
Master Home
  
Circular Functions: Display
The learner will be able to display periodic and circular functions using graphing calculators.
Scope Activities
Master Home
  
Functional Relationships: Represent
The learner will be able to use tables, charts or graphs to represent a functional relationship.
Scope Activities
Master Home
  
Functions: Interpret
The learner will be able to interpret functions.
Scope Activities
Master Home
  
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
Master Home
  
top  

Mathematics Processes
Modeling: Constants/Coefficients/Bases
The learner will be able to interpret constants, coefficients, and basis in the contest of the information being modeled.
Scope Activities
Master Home
  
Modeling: Curve/Best-Fit
The learner will be able to determine the model of the curve of best-fit (linear, polynomial, exponential, power, logarithmic, and logistic) for a group of data.
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
Master Home
  
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
  
Communication: Clearly
The learner will be able to communicate mathematical procedures and results clearly, systematically, succinctly and accurately.
Scope Activities
Master Home
  
top  

Sequences: Determine Terms
The learner will be able to determine indicated terms in sequences.
Scope Activities
Master Home
  
Series: Summative Notation
The learner will be able to apply summative notation to explain the sums in a series.
Scope Activities
Master Home
  
Series: Sum of Infinite Geometric
The learner will be able to determine the sum of an infinite geometric series.
Scope Activities
Master Home
  
Sequence: Sum of Infinite
The learner will be able to determine sums of infinite sequences.
Scope Activities
Master Home
  
Series: Converge/Diverge
The learner will be able to determine whether a given series converges or diverges.
Scope Activities
Master Home
  
Sequence: Find Limit
The learner will be able to find the limit of an infinite sequence if it exists.
Scope Activities
Master Home
  
Sequence/Series: Problem Solving
The learner will be able to apply sequences and series to obtain solutions to problems.
Scope Activities
Master Home
  
Sequence/Series: Problem Solving
The learner will be able to apply sequences and series to obtain solutions to word problems.
Scope Activities
Master Home
  
top  

Probability/Statistics
Data Analysis: Models
The learner will be able to make and apply models of data for reporting and analysis.
Scope Activities
Master Home
  
Distribution: Normal
The learner will be able to identify, define, and apply the normal distribution curve.
Scope Activities
Master Home
  
Mean and Median
The learner will be able to calculate mean and median.
Scope Activities
Master Home
  
Range
The learner will be able to identify the range of a given set of data.
Scope Activities
Master Home
  
Probability: Apply
The learner will be able to apply probability concepts to real-world scenarios.
Scope Activities
Master Home
  
Statistical Representations
The learner will be able to apply statistical representations in the study and interpretation of data.
Scope Activities
Master Home
  
Combinations: Determine Number
The learner will be able to determine the number of possible combinations.
Scope Activities
Master Home
  
Probabililty Distribution: Identify Data
The learner will be able to identify data according to its position in the distribution (quartiles, percentiles).
Scope Activities
Master Home
  
Standard Deviation
The learner will be able to calculate standard deviation.
Scope Activities
Master Home
  
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
Master 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 Activities
Master Home
  
Experiments: Questions
The learner will be able to characterize questions of experimental design, control groups, treatment groups, cluster sampling and reliability (optional).
Scope Activities
Master Home
  
Graphing: Organize/Illustrate
The learner will be able to organize and illustrate results with graphs, using standard deviation, variance and t-tests (optional).
Scope Activities
Master Home
  
Predictions: Technology
The learner will be able to predict using interpolation, extrapolation, regression, and approximation, using technology to verify them.
Scope Activities
Master Home
  
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.
Scope Activities
Master Home
  
Probability/Statistics
The learner will be able to form new ideas and compelling arguments that are founded in probability and statistics and judge the reasonableness of such arguments.
Scope Activities
Master Home
  
Probability/Statistics: Use
The learner will be able to use probability and statistics to conduct an experiment involving a sample, and then generalize its results to the entire population.
Scope Activities
Master Home
  
Probability: Odds
The learner will be able to understand the difference between odds and probability.
Scope Activities
Master Home
  
Problem Solving: Events
The learner will be able to obtain solutions to problems involving independent simple and compound events.
Scope Activities
Master Home
  
Data: Best Fit
The learner will be able to find the regression equation of best fit.
Scope Activities
Master Home
  
Outcomes: Probability
The learner will be able to apply experimental and theoretical probability distributions to form opinions about the likelihood of different outcomes in uncertain situations.
Scope Activities
Master Home
  
top  

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.
Scope Activities
Master Home
  
Solution: Illustrate
The learner will be able to illustrate mathematical solutions to problems.
Scope Activities
Master Home
  
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.
Scope Activities
Master Home
  
Valid Arguments
The learner will be able to construct valid arguments from facts.
Scope Activities
Master Home
  
Use of symbols and terms
The learner will be able to use symblos, mathematical terminology, standard notation, mathematical rules, graphing and other types of mathematical representations to communicate observations, predictions, concepts, procedures, generalizations, ideas and results.
Scope Activities
Master Home
  
Report Results
The learner will be able to present mathematical procedures and results clearly, systematically, succinctly, and correctly in word or written form.
Scope Activities
Master Home
  
top  

Triangles: Form/Apply
The learner will be able to form and apply the Law of Sines and Law of Cosines to obtain solutions to problems involving triangles and vectors.
Scope Activities
Master Home
  
Trigonometric Functions: Develop
The learner will be able to apply graphs to develop, identify, and validate trigonometric identities.
Scope Activities
Master Home
  
Trig. Identities: Symmetry/Unit Circle
The learner will be able to apply the symmetry of the unit circle to create, identify and validate trigonometric identities.
Scope Activities
Master Home
  
Polar Equations: Translate
The learner will be able to translate quadratic relations between rectangular and polar forms and graph.
Scope Activities
Master Home
  
Trigonometric Ratios: Sine/Cosine
The learner will be able to identify the values of sine and cosine as illustrated on the unit circle, including multiples of pi, pi/6, pi/4, pi/3, and pi/2.
Scope Activities
Master Home
&nb