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    • ▾3rd grade
      • ▸Addition, subtraction, estimation
        • •Mentally add within 1000
        • •Round to the nearest 10 or 100
        • •Add and subtract within 1000, abstract
      • ▸Multiplication
        • •Multiplication using rectangular arrays and equal groups, concrete and visual
        • •Multiplication as repeated addition
        • •Multiply, abstract
      • ▸Division
        • •Divide using equal groups
        • •Division as repeated subtraction
        • •Divide, abstract
      • ▾Fractions
        • •Equal shares of shapes and unit fractions
        • •Plot fractions on the number line
        • •Relating fractions to 1
        • •Representing whole numbers as fractions
        • •Comparing fractions with like numerators, denominators, or both
      • ▸Relating multiplication and division
        • •Missing number problems, multiplication and division
        • •Relating multiplication to division
        • •Use properties to multiply and divide
        • •Multiply one-digit numbers by multiples of 10
      • ▸Arithmetic patterns and problem solving
        • •Two-step word problems
        • •Arithmetic and geometric sequences
        • •Patterns in addition and multiplication
        • •Intro to the triangular numbers
        • •Intro to the Fibonacci sequence
        • •Intro to Pascal's triangle
      • ▸Geometry
        • •Shape heirarchy
        • •Area of composite rectangles by counting unit squares
        • •Area and units of measure
        • •Area as multiplication
        • •Area, perimeter, and how they're related
      • ▸Time, measurement, and data
        • •Tell and write time, minute increments
        • •Measure and estimate volumes and masses
        • •Scaled bar and picture graphs
        • •Line plots with fractions
     › 3rd grade › Fractions

    Comparing fractions with like numerators, denominators, or both

    Students will learn how to compare fractions having the same numerator, denominator, or both. They'll start with manipulatives and number lines.

    Watch these Khan Academy videos:

    • Comparing fractions with > and < symbols
    • Comparing fractions visually

    Do these Khan Academy exercises:

    • Compare fractions with fraction models
    • Compare fractions on the number line

    Next, students will learn how to compare fractions with like denominators, without using manipulatives or visuals.

    Comparing fractions with the same denominator by Khan Academy

    Compare fractions with the same denominator by Khan Academy

    After that, students will learn how to compare unit fractions.

    Comparing unit fractions by Khan Academy

    Next, students will learn how to compare fractions having the same numerators.

    Comparing fractions with the same numerator by Khan Academy

    Compare fractions with the same numerator

    After that, students will learn how to find equivalent fractions using the length model, fraction sectors, and number lines.

    Next, give your students these challenges:

    • 2020 Math Kangaroo Levels 3-4 Problem #19 by STEM4all
    • Probable Words by NRICH

    Conclude by leading this investigation:

    Jumping Frogs (patterns, counting, primes)
    by MathPickle

    3.NF.A.3: Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size.

    Additional lessons and practice problems