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EAST LONGMEADOW PUBLIC SCHOOLS |
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2006 - 2007 DISTRICT CURRICULUM GUIDES |
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Mathematics - PreCalculus and Honors PreCalculus |
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Algorithms: Create
The learner will be able to
create algorithms to solve problems.
| Strand |
Scope |
Source |
| Algorithms |
Master |
Massachusetts Curriculum Frameworks, January 1996, Grade 12, p.48 |
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Algorithms: Analyze
The learner will be able to
analyze algorithms.
| Strand |
Scope |
Source |
| Algorithms |
Master |
Massachusetts Curriculum Frameworks, January 1996, Grade 12, p.48 |
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Algorithms: Exploring/Validation
The learner will be able to
explore problems which involve the validation of algorithms using calculators and computers.
| Strand |
Scope |
Source |
| Algorithms |
Master |
Massachusetts Curriculum Frameworks, January 1996, Grade 12, p.48 |
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Equality/Inequality/Matrix: Interpreting
The learner will be able to
interpret higher order equations, inequalities, and matrices using graphs and tables.
| Strand |
Scope |
Source |
| Equality/Inequality |
Master |
Massachusetts Curriculum Frameworks, January 1996, Grade 12, p.66 |
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Systems of Equations: Matrices
The learner will be able to
solve systems of linear equations by applying matrix concepts.
| Strand |
Scope |
Source |
| Linear Systems of Equations |
Master |
Massachusetts Curriculum Frameworks, January 1996, Grade 12, p.66 |
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Calculus and Pre-Calculus
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Problem Solving: Graphs of Maxima/Minima
The learner will be able to
find a maxima and minima of a graph and use it to solve a problem.
| Strand |
Scope |
Source |
| Problem Solving |
Master |
Massachusetts Curriculum Frameworks, January 1996, Grade 12, p.67 |
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Limiting Processes
The learner will be able to
explore the following limiting processes by analyzing them graphically: infinite sequence, infinite series, and area under curves.
| Strand |
Scope |
Source |
| Limits |
Master |
Massachusetts Curriculum Frameworks, January 1996, Grade 12, p.67 |
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Linear Programming: Problem Solving
The learner will be able to
use the concept of linear programming to solve problems.
| Strand |
Scope |
Source |
| Linear Programming |
Master |
Massachusetts Curriculum Frameworks, January 1996, Grade 12, p.48 |
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Networks: Inductive/Deductive Reasoning
The learner will be able to
explore networks using both inductive and deductive reasoning.
| Strand |
Scope |
Source |
| Graph Theory/Networks |
Master |
Massachusetts Curriculum Frameworks, January 1996, Grade 12, p.48 |
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Linear Programming: Represent Problems
The learner will be able to
use concepts of linear programming to represent problems.
| Strand |
Scope |
Source |
| Linear Programming |
Master |
Massachusetts Curriculum Frameworks, January 1996, Grade 12, p.48 |
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Matrices: Variable Quantities/Represent
The learner will be able to
use matrices to represent real-world situations where the amounts involved are variable.
| Strand |
Scope |
Source |
| Matrices |
Master |
Massachusetts Curriculum Frameworks, January 1996, Grade 12, p.66 |
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Matrices: Problem Solving
The learner will be able to
apply matrix algebra to obtain problem solutions that make use of finite graphs.
| Strand |
Scope |
Source |
| Matrices |
Master |
Massachusetts Curriculum Frameworks, January 1996, Grade 12, p.48 |
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Representations: Various Problems
The learner will be able to
recognize how a function can be a model for a variety of problems.
| Strand |
Scope |
Source |
| Representations of Functions |
Master |
Massachusetts Curriculum Frameworks, January 1996, Grade 12, p.66 |
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Non-Linear Functions: Represent
The learner will be able to
model real life processes with logarithmic, exponential, and other non-linear functions.
| Strand |
Scope |
Source |
| Exponential/Logarithmic Functions |
Master |
Massachusetts Curriculum Frameworks, January 1996, Grade 12, p.66 |
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Graphing: Analyze/Parameter Changes
The learner will be able to
analyze graphs of functions to determine the effects of parameter changes.
| Strand |
Scope |
Source |
| Graphing Functions |
Master |
Massachusetts Curriculum Frameworks, January 1996, Grade 12, p.66 |
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Trigonometric/Circular Functions
The learner will be able to
find similarities and differences between trigonometric and circular functions.
| Strand |
Scope |
Source |
| Trigonometric/Circular Functions |
Master |
Massachusetts Curriculum Frameworks, January 1996, Grade 12, p.67 |
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Trigonometric Functions: Graphing
The learner will be able to
graph trigonometric functions.
| Strand |
Scope |
Source |
| Trigonometric Functions |
Master |
Massachusetts Curriculum Frameworks, January 1996, Grade 12, p.67 |
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Problem Solving: Transformations
The learner will be able to
apply concepts of the different types of transformations in solving problems.
| Strand |
Scope |
Source |
| Problem Solving |
Master |
Massachusetts Curriculum Frameworks, January 1996, Grade 12, p.82 |
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Properties of Figures
The learner will be able to
determine properties and relationships of figures by making assumptions and using given information.
| Strand |
Scope |
Source |
| Properties of Figures |
Master |
Massachusetts Curriculum Frameworks, January 1996, Grade 12, p.81 |
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Problem Solving: Analytic Geometry
The learner will be able to
solve both real-world and mathematical problems using concepts of analytic geometry.
| Strand |
Scope |
Source |
| Problem Solving |
Master |
Massachusetts Curriculum Frameworks, January 1996, Grade 12, p.82 |
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Geometric Concepts: Apply
The learner will be able to
apply the concepts of vectors, phase shift, maxima, minima, points of inflection, and/or exact mathematical descriptions of symmetry to find and/or relate objects and their orientation.
| Strand |
Scope |
Source |
| Geometric Concepts |
Master |
Massachusetts Curriculum Frameworks, January 1996, Grade 12, p.81 |
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Math Structures: Math Systems
The learner will be able to
show that apparently unlike mathematical systems can be similar or identical.
| Strand |
Scope |
Source |
| Math Structures |
Master |
Massachusetts Curriculum Frameworks, January 1996, Grade 12, p.49 |
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Statistical Experiments
The learner will be able to
study a problem, establish the information needed to solve the problem, devise an experiment, carry it out, collect the data, draw conclusions based on the data, and communicate the results to others.
| Strand |
Scope |
Source |
| Statistics |
Master |
Massachusetts Curriculum Frameworks, January 1996, Grade 12, p.96 |
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Measures of Central Tendency: Applying
The learner will be able to
use measures of central tendency to describe data.
| Strand |
Scope |
Source |
| Measures of Central Tendency |
Master |
Massachusetts Curriculum Frameworks, January 1996, Grade 12, p.96 |
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Variability: Applying
The learner will be able to
use measures of variability to describe data.
| Strand |
Scope |
Source |
| Correlation/Deviation/Variance |
Master |
Massachusetts Curriculum Frameworks, January 1996, Grade 12, p.96 |
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Correlation: Applying
The learner will be able to
use measures of correlation to describe data.
| Strand |
Scope |
Source |
| Correlation/Deviation/Variance |
Master |
Massachusetts Curriculum Frameworks, January 1996, Grade 12, p.96 |
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Measures of Central Tendency: Analyze
The learner will be able to
analyze the changes in the measures of central tendency when a data transformation occurs.
| Strand |
Scope |
Source |
| Measures of Central Tendency |
Master |
Massachusetts Curriculum Frameworks, January 1996, Grade 12, p.96 |
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Variability: Analyze
The learner will be able to
analyze the changes in the measures of variability when a data transformation occurs.
| Strand |
Scope |
Source |
| Correlation/Deviation/Variance |
Master |
Massachusetts Curriculum Frameworks, January 1996, Grade 12, p.96 |
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Data: Transformation
The learner will be able to
perform data transformation and understand how the transformation assists in both interpreting and making predictions with that data.
| Strand |
Scope |
Source |
| Data |
Master |
Massachusetts Curriculum Frameworks, January 1996, Grade 12, p.96 |
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Variate: Applying
The learner will be able to
use random variable concepts.
| Strand |
Scope |
Source |
| Probability Functions |
Master |
Massachusetts Curriculum Frameworks, January 1996, Grade 12, p.97 |
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Distributions: Discrete/Create
The learner will be able to
construct a discrete probability distribution.
| Strand |
Scope |
Source |
| Probability Distribution |
Master |
Massachusetts Curriculum Frameworks, January 1996, Grade 12, p.97 |
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Distributions: Discrete/Interpret
The learner will be able to
interpret a discrete probability distribution.
| Strand |
Scope |
Source |
| Probability Distribution |
Master |
Massachusetts Curriculum Frameworks, January 1996, Grade 12, p.97 |
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Predictions: Curve Fitting
The learner will be able to
make predictions from data using curve fitting.
| Strand |
Scope |
Source |
| Predictions |
Master |
Massachusetts Curriculum Frameworks, January 1996, Grade 12, p.96 |
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Uncertainty: Representing/Solving
The learner will be able to
represent and solve problems of uncertainty by applying relative frequency and probability concepts.
| Strand |
Scope |
Source |
| Impossible/Certain Events |
Master |
Massachusetts Curriculum Frameworks, January 1996, Grade 12, p.97 |
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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 |
Massachusetts Curriculum Frameworks, January 1996, Grade 12, p.97 |
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Statistics
The learner will be able to
apply appropriate statistics in the verification of hypotheses.
| Strand |
Scope |
Source |
| Statistics |
Master |
Massachusetts Curriculum Frameworks, January 1996, Grade 12, p.96 |
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Probability: Finite
The learner will be able to
obtain solutions to problems of enumeration and/or finite probability.
| Strand |
Scope |
Source |
| Probability |
Master |
Massachusetts Curriculum Frameworks, January 1996, Grade 12, p.48 |
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Triangles: Problem Solving
The learner will be able to
solve real-world triangle problems using trigonometric concepts.
| Strand |
Scope |
Source |
| Triangles |
Master |
Massachusetts Curriculum Frameworks, January 1996, Grade 12, p.67 |
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Periodic Phenomena: Sine/Cosine
The learner will be able to
investigate real-world phenomena which is periodic using the sine and cosine functions.
| Strand |
Scope |
Source |
| Periodic Phenomena |
Master |
Massachusetts Curriculum Frameworks, January 1996, Grade 12, p.67 |
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