Chalkboard
Index
 

Mission Statement
Introduction
Credits

© 2006 by EAST LONGMEADOW PUBLIC SCHOOLS and Scantron Corporation.
All Rights Reserved.

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Curriculum Designer by
Scantron Corporation

EAST LONGMEADOW PUBLIC SCHOOLS
2006 - 2007 DISTRICT CURRICULUM GUIDES
Mathematics - Topics in Math

Mathematics Processes
Inductive Reasoning
The learner will be able to reason using patterns.
Strand Scope Source
Reasoning Master East Longmeadow Public Schools(a)
  
Deductive Reasoning
The learner will be able to reason using facts.
Strand Scope Source
Communication Master East Longmeadow Public Schools(a)
  
Number Sequences
The learner will be able to recognize, extend, and interpret patterns in arithmetic and geometric sequences.
Strand Scope Source
Communication Master East Longmeadow Public Schools(a)
  
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functions and their graphs
Cartesian coordinate System
The learner will be able to graph in the Cartesian Coordinate System.
Strand Scope Source
Properties of functions Master East Longmeadow Public Schools(a)
  
Graphing Functions
The learner will be able to graph lines, parabolas, hyperbolas, exponential functions and polynomial functions(to the fourth degree).
Strand Scope Source
Properties of functions Master East Longmeadow Public Schools(a)
  
Interpolation and Extrapolation
The learner will be able to interpret graphs, extrapolate and interpolate data from graphs.
Strand Scope Source
Properties of functions Master East Longmeadow Public Schools(a)
  
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Number Theory
Large Numbers
The learner will be able to write and perform computation of large numbers using exponential form, scientific notation and logarithmic notation in binary and base 10.
Strand Scope Source
Cardinal Numbers Master East Longmeadow Public Schools(a)
  
Exponential functions
The learner will be able to graph, recognize and use real-life applications of exponential and logarithmic functions.
Strand Scope Source
Cardinal Numbers Master East Longmeadow Public Schools(a)
  
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Symmetry
Line and rotational symmetry
The learner will be able to recognize and create examples of line and rotational symmetry.
Strand Scope Source
Line and Rotational Symmetry Master East Longmeadow Public Schools(a)
  
Regular Polygons
The learner will be able to recognize, name,and determine the measure of the central angle, individual interior and exterior angles, and the sum of the measures of the interior and exterior angles of regular polygons.
Strand Scope Source
Line and Rotational Symmetry Master East Longmeadow Public Schools(a)
  
Tessellations
The learner will be able to create mathematical mosaics by determining which polygons tessellate and knowing properties of and methods of construction of regular and semi-regular mosaics.
Strand Scope Source
Line and Rotational Symmetry Master East Longmeadow Public Schools(a)
  
Regular Polyhedra
The learner will be able to recognize the properties of the five regular polyhedra (tetrahedron, octahedron, cube, icosahedron and dodecahedron) and how to construct these polyhedra.
Strand Scope Source
Line and Rotational Symmetry Master East Longmeadow Public Schools(a)
  
Pyramids and Prisms
The learner will be able to identify, describe the properties of and construct regular pyramids and prisms.
Strand Scope Source
Line and Rotational Symmetry Master East Longmeadow Public Schools(a)
  
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Mathematical Curves
Conic Sections
The learner will be able to recognize and interpret graph of circles, hyperbolas, ellipses and parabolas, understand construction of each conic and the relationship of the foci, center, directrix, and asymptotes where appropriate.
Strand Scope Source
Conic Sections Master East Longmeadow Public Schools(a)
  
Sine Curve
The learner will be able to graph sine function, using both Cartesian and Polar Coordinate Systems, and determine the amplitude, frequency, and wavelength from the Cartesian graph.
Strand Scope Source
Conic Sections Master East Longmeadow Public Schools(a)
  
Spirals
The learner will be able to recognized Archimedean and logarithmic spirals, the relationship of spirals to arithmetic and geometric sequences, and graph spirals using polar coordinates.
Strand Scope Source
Conic Sections Master East Longmeadow Public Schools(a)
  
Cycloids
The learner will be able to recognize the graph and properties of a cycloid and construct a cycloid and its variations.
Strand Scope Source
Conic Sections Master East Longmeadow Public Schools(a)
  
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Methods of Counting
Counting Principle
The learner will be able to apply the basic counting principle.
Strand Scope Source
Counting Principle Master East Longmeadow Public Schools(a)
  
Factorial Notation
The learner will be able to use factorial notation and apply it to solve problems.
Strand Scope Source
Counting Principle Master East Longmeadow Public Schools(a)
  
Permutations
The learner will be able to use proper notation, compute, and apply permutations, including those with repetition.
Strand Scope Source
Counting Principle Master East Longmeadow Public Schools(a)
  
Combinations
The learner will be able to use proper notation and compute and apply combinations.
Strand Scope Source
Counting Principle Master East Longmeadow Public Schools(a)
  
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Probability/Statistics
Probability
The learner will be able to define and compute the probability of casino games, independent and dependent events, and complementary events.
Strand Scope Source
Average/Median/Mode/Range Master East Longmeadow Public Schools(a)
  
Binomial probabilities
The learner will be able to recognize the characteristics and apply binomial probability including the use of Pascal's Triangle.
Strand Scope Source
Average/Median/Mode/Range Master East Longmeadow Public Schools(a)
  
Introduction to Statistics
The learner will be able to display data in statistical graphs, including non-numeric data in Bar, Circle and Pictograms, and numerical data in line Graphs and Histograms.
Strand Scope Source
Average/Median/Mode/Range Master East Longmeadow Public Schools(a)
  
Apply Statistics
The learner will be able to apply statistics to decoding.
Strand Scope Source
Average/Median/Mode/Range Master East Longmeadow Public Schools(a)
  
Statistical Measures
The learner will be able to perform statistical measures of central tendency, including arithmetic mean, median, and mode; measures of variability, including range and standard deviation; and apply variability to graph of the normal curve.
Strand Scope Source
Average/Median/Mode/Range Master East Longmeadow Public Schools(a)
  
Collecting Data
The learner will be able to recognize the difference between sample and population and the characteristics of a random sample.
Strand Scope Source
Average/Median/Mode/Range Master East Longmeadow Public Schools(a)
  
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Topology
Mathematics of Distortion
The learner will be able to recognize closed curves and topological equivalence.
Strand Scope Source
Mathematics of Distortion Master East Longmeadow Public Schools(a)
  
Networks
The learner will be able to to recognize the degree of a network and Euler Paths, Topological trees, including vertices and diameters; and apply concepts to analyze the Seven Bridges of Konigsberg problem.
Strand Scope Source
Mathematics of Distortion Master East Longmeadow Public Schools(a)
  
Moebius
The learner will be able to create a Moebius Strip and recognize its properties.
Strand Scope Source
Mathematics of Distortion Master East Longmeadow Public Schools(a)
  
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