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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 › Negative numbers

    Absolute value of rational numbers

    Students will learn how to compare and order absolute values of integers and rationals. Students will also learn how to solve word problems involving the absolute values of integers and rationals. Here's a lesson on solving such word problems, and here's practice.

    Watch these Khan Academy videos:

    • Ordering negative numbers
    • Comparing absolute values
    • Absolute value examples
    • Interpreting absolute value
    • Placing absolute values on the number line
    • Comparing absolute values on the number line
    • Testing solutions to absolute value inequalities
    • Negative numbers, variables, number line
    • Inequality word problems

    Do these Khan Academy exercises:

    • Ordering small negative numbers
    • Compare and order absolute values
    • Finding absolute values
    • Interpreting absolute value
    • Comparing absolute values challenge
    • Ordering negative numbers
    • Negative numbers, variables, number line
    • Writing numerical inequalities
    • Compare rational numbers

    Next, give your students these challenges:

    • Late Again by NRICH
    • 2017 Math Kangaroo Levels 1-2 Problem #15 by STEM4all

    Conclude by leading this investigation:

    Cracking the ADFGX Cipher
    by MathPickle

    6.NS.C.7: Understand ordering and absolute value of rational numbers.

    Lessons and practice problems