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2008 – 2009 Accelerated Sixth Grade Math – First Semester Overview
Tools for Algebra and Geometry
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Whole number and decimal place
value
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Add and subtract whole number
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Multiply and divide whole numbers
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Add and subtract decimals
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Multiply and divide decimals
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Rounding
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Squares
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Square roots
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Order of operations
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Expressions with variables
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Algebraic expressions
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Input/Output
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Open sentences
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Properties (Associative,
Distributive, etc.)
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Integers and Rational Numbers
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Using Integers (absolute value)
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Comparing and ordering integers
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Comparing and ordering rational
numbers
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Adding integers
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Subtracting integers
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Multiplying integers
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Dividing integers
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Number Theory and Algebraic Reasoning
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Exponents (+)
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Divisibility rules
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Primes and composites
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Prime factorization
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Factors, multiples
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GCF
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LCM
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Monomials
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Mult/Div Monomials
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Negative Exponents
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Mult/Div Monomials
(- Exponents)
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Standard and Scientific Notation
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Variables
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One-step equations
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Two-step equations
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Distributive property with
equations
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Variables on both sides of an
equation
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Functions
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Graphs, tables of algebraic
relationships
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Derive formula from table
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Sequences
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Patterns, properties,
relationships
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Use algebraic expressions to
find any term in a sequence
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Fractions
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Fraction sense (ordering and
comparing)
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Equivalent fractions
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Simplifying fractions
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Converting fractions/mixed
numbers
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Adding fractions
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Subtracting fractions
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Subtracting fractions with
renaming
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Multiplying fractions
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Dividing fractions
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Identifying operations
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Ratios, Proportions, and Percentages Part I
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Rates and unit rates
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Ratios
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Proportions
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Compare and contrast
proportional relationships
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Constant factors
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2008 - 2009 Accelerated Sixth Grade Math – Second Semester Overview
Ratios, Proportions, and Percentages Part I
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Percentages
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Fraction, decimal, percent
conversion
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Rational Numbers
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Percent of a number (3 ways)
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Sales and Discounts
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Measurement and Geometry
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Customary measurement
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Metric measurement
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General vocabulary
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Coordinate planes
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Classify 2D shapes
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Transformations
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Acute, obtuse, and right angles
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Angles of triangles and
quadrilaterals
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Complementary and supplementary
angles
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Measure angles
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Angle relationships
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Similarity and congruence
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Proportional relationships of
similar shapes
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Reflection, rotation, translation
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Perimeter of polygons
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Area of polygons
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Circle vocabulary
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Circumference of a circle
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Area of a circle
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Classify 3D shapes
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Sketch solids given 3 views
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Make a net of the surface area
of a solid
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Draw solids from different
perspectives
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Volume of 3D objects
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Surface area of 3D objects
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Dilations (enlargements and
reductions)
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Graph all transformations on
coordinate plane
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Pythagorean theorem
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Precision, significant digits,
error
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Proportional changes w/
perimeter, area, and volume
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Statistics
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Mean, median, mode and range
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Line, bar, pictographs,
histograms, etc
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Circle graphs
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Measures of variation
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Stem and leaf plots
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Box and whisker plots
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Positive and negative
relationships
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Scatter plots.
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Comparing graphs and charts
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Trends
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Choosing the best graphical
method
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Misuses of graphical information
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Generate different
representations of tables, graphs, equations, etc.
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Probability
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Experimental and theoretical
probability
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Sample spaces (lists, tree
diagrams, combinations)
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Probability of a simple event
(and its compliment)
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Counting Principle
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Independent and dependent events
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Combinations, permutations,
factorials
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Pascal’s triangle
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Odds
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Probability of a compound event
through experimentation
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Probability of a compound event
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Pythagorean Theorem
Ratios, Proportions, and Percentages Part II
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Percent of a number (3 ways)
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Sales and Discounts
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Similarity, scaling, unit costs, speed
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Density, prices, recipes,
student-teacher ratio
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Inequalities
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One-step inequalities
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Two-step inequalities
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Distributive property with
inequalities
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Variables on both sides of an
inequality
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