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

    Decimal arithmetic

    Add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each.

    Watch these Khan Academy videos:

    • Adding decimals: 9.087+15.31
    • Adding decimals: 0.822+5.65
    • Adding three decimals
    • Dividing by a multi-digit decimal
    • Dividing decimals with hundredths
    • Multiplying challenging decimals
    • Adding & subtracting decimals word problem
    • Adding decimals word problem
    • Subtracting decimals: 9.005 - 3.6
    • Subtracting decimals: 39.1 - 0.794
    • Dividing decimals completely
    • Long division with decimals

    Do these Khan Academy exercises:

    • Adding decimals: thousandths
    • Dividing decimals: thousandths
    • Multiplying decimals like 0.847x3.54 (standard algorithm)
    • Adding & subtracting decimals word problems
    • Multiplying decimals like 2.45x3.6 (standard algorithm)
    • Dividing whole numbers like 56÷35 to get a decimal
    • Subtracting decimals: thousandths
    • Dividing decimals: hundredths

    Conclude by leading this investigation:

    Egyptian Fractions
    by MathPickle

    6.NS.B.3: Fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation.

    Lessons and practice problems