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6th grade
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Ratios, rates, and percentages
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Percentages
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Intro to ratios
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Unit rates
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Equivalent ratios
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Simplifying ratios
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Equivalent ratios (mathematical problems)
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Equivalent ratios (word problems)
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Arithmetic operations
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Long division
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Decimal arithmetic
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Divide fractions
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Raising numbers to whole number powers
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Mentally raising small numbers to small powers
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Powers of 10
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Multiplying and dividing by powers of 10
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Tower of Hanoi
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Counting in bases 5 and 2
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More on binary
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Remainders of large powers
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Negative numbers
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Intro to negative numbers
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Absolute value of rational numbers
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Plotting points in all four quadrants
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Factors and multiples
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Prime factorization
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Common factors
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GCD and LCM by making lists
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GCD and LCM by prime factorization
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GCD and LCM word problems
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Properties of the GCD and LCM
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Water pouring puzzles
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Factor with the distributive property (no variables)
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Relatively prime
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Variables and expressions
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Intro to variables
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Measurement with an unknown unit of length
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Convert phrases to algebraic expressions
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Identify parts of expressions
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Distributive property with variables
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Determining equivalence of algebraic expressions
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Equations and inequalities introduction
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Testing solutions to equations and inequalities
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Solving one-step equations, addition and subtraction
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Solving one-step equations, multiplication and division
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Model with one-step equations
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Modeling one-variable inequalities
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Dependent and independent variables
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Geometry
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Volume of right rectangular prisms with fractional lengths
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Area
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Number of diagonals in a convex polygon
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Counting vertices, edges, and faces
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Nets and surface area
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Surface area of rectangular prisms
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Coordinate plane
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Menseki Meiro puzzles
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Data and statistics
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Identifying statistical questions
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Plotting data
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Basic statistics
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Combining means
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Analyzing distributions
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6th grade
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Other resources
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Geometry (grade 6)
Area of a triangle
Derivation: Area of a non-obtuse triangle
Derivation: Area of a right triangle
Other resources
Using the area of a triangle formula