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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 › Data and statistics

    Plotting data

    Students will learn how to read and create box and whiskers plots, line plots, histograms, and frequency tables, from given data. For creating box and whisker plots, worked examples can be found here and here. Students can practice creating box and whisker plots here.

    Watch these Khan Academy videos:

    • Statistics intro: Mean, median, & mode
    • Mean, median, & mode example
    • Frequency tables & dot plots
    • Reading box plots
    • Constructing a box plot
    • Creating a histogram
    • Interpreting a histogram
    • Comparing dot plots, histograms, and box plots

    Do these Khan Academy exercises:

    • Calculating the mean: data displays
    • Creating frequency tables
    • Calculating the median: data displays
    • Reading box plots
    • Reading dot plots & frequency tables
    • Read histograms
    • Comparing data displays
    • Estimate center using dot plots
    • Creating dot plots
    • Create histograms
    • Creating box plots

    Next, give your students this challenge:

    Rearrange the Square by NRICH

    Conclude by leading this investigation:

    Gozen – factorization game
    by MathPickle

    6.SP.B.4: Display numerical data in plots on a number line, including dot plots, histograms, and box plots.

    Lessons and practice problems