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Subject  >  Math  >  Grade 5 Math Program

Grade 5 Math Program

This is a representative list of topics covered in our Grade 5 Math program - however all programs will be customized for the individual student.


ALGEBRA I & II

  ALGEBRA

  • Geometric and numeric patterns
  • Represent and analyze patterns and functions
  • Commutative, Associative and Distributive properties(whole numbers)
  • Representation of variables
  • Mathematical relationships using equations
  • Model problem situations using graphs, tables, and equations
  • Relationships between variables
 

  DATA ANALYSIS AND PROBABILITY

  • Data-collection methods and effects
  • Representation of data
  • Differences in representing categorical and numerical data
  • Features of a set of data and compare related data sets
  • Distribution of data
  • measures of center, focusing on the median
  • Compare different representations of the same data
  • Likely, unlikely, certain, equally likely and impossible events
  • Probability of outcomes of simple experiments
  • Likelihood of an event

  GEOMETRY

  • Two- and three-dimensional shapes - attributes
  • Properties of two- and three-dimensional shapes
  • Classification of two- and three-dimensional shapes
  • Subdividing, combining, and transforming shapes
  • Congruence and similarity
  • Geometric properties and relationships
  • Location and movement
  • Coordinate systems to specify locations and to describe paths
  • Distance between points
  • Sliding, flipping, and turning two-dimensional shapes
  • Rotational symmetry in two- and three-dimensional shapes and designs
  • Build and draw geometric objects
  • Identify and build a three-dimensional object from two-dimensional representations of that object
  • Geometric models to solve problems
  • Geometric ideas and relationships

  MEASUREMENT

  • Length, area, weight, volume, and size of angle
  • Standard units in the customary and metric systems
  • Simple unit conversions
  • Measurements of a two-dimensional shape
  • Estimating the perimeters, areas, and volumes of irregular shapes
  • Standard units and tools to measure length, area, volume, weight, time, temperature, and the size of angles
  • Time and Money
  • Benchmarks to estimate measurements
  • Formulas to find the area of rectangles and related triangles and parallelograms
  • Surface areas and volumes of rectangular solids

  NUMBER AND OPERATIONS

  • Place-value structure of the base-ten number system
  • Represent and compare whole numbers and decimals
  • Equivalent representations for the same number
  • Generate equivalent numbers by decomposing and composing
  • Fractions as parts of unit wholes, and collection
  • Fractions as locations on number lines and as divisions of whole numbers
  • Size of fractions
  • Equivalent forms of fractions, decimals, and percents
  • Explore numbers less than 0
  • Classes of numbers
  • Multiplication and division of whole numbers
  • Relationships between operations and properties of operations
  • Distributive property (multiplication over addition)
  • Basic number combinations for multiplication and division
  • Adding, subtracting, multiplying, and dividing whole numbers
  • Add and subtract fractions and decimals
  • Computing with whole numbers
  • Ratio, Proportion and Percent

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