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    • ▾4th grade
      • ▸Place value of whole numbers
        • •Place value of multi-digit whole numbers
        • •Adding and subtracting multi-digit numbers
        • •Multiply and divide by 10
        • •Represent a number using base ten blocks, units, tens, and hundreds
        • •Convert between written forms of numbers
        • •Round whole numbers
        • •Estimating sums and differences by rounding
        • •Estimating products by rounding
      • ▸Multiplication and division
        • •Multiplying one-digit numbers by 10, 100, and 1000
        • •Multiplying one-digit numbers by multiples of 10, 100, and 1000
        • •Multiplying 10s
        • •Multiplication
        • •Quotients and remainders
        • •Pattern in the units digit of multiples
        • •Solve multiplication and division word problems
        • •Multi-step word problems
      • ▸Factors, multiples, and patterns
        • •Factors and multiples
        • •Divisibility tests
        • •Prime and composite numbers
        • •Number patterns
      • ▸Equivalent fractions and comparing fractions
        • •Equivalent fractions
        • •37 trick
        • •Compare fractions with unlike numerators, denominators, or both
      • ▾Fraction arithmetic
        • •Round fractions
        • •Add and subtract fractions with like denominators
        • •Add fractions with denominators of 10 or 100
        • •Multiply fractions by whole numbers
      • ▸Understand decimals
        • •Represent decimal numbers using base ten blocks
        • •Compare decimals to hundredths
      • ▸Geometry
        • •Intro to parallel and perpendicular lines
        • •Lines of symmetry
        • •Rotational symmetry
        • •Intro to angles
        • •Measuring and drawing angles
        • •Coterminal angles
        • •Naming angles
        • •Adjacent angles and the additive property of angles
      • ▸Units of measurement
        • •Converting larger units of volume to smaller ones
        • •Converting larger units of length to smaller ones
        • •Converting larger units of time to smaller ones
        • •Word problems involving measures
     › 4th grade › Fraction arithmetic

    Add and subtract fractions with like denominators

    Add and subtract fractions with like denominators. Start with manipulatives and pictures, then move away from them. Understand that a fraction, such as 4/7 can be made from multiple addends. For example 1/7 + 1/7 + 2/7.

    Add and subtract mixed numbers with like denominators. Start with manipulatives and pictures, then gradually move away from them.

    Solve word problems involving addition and subtraction with like denominators. No mixed numbers here. That is, all numbers are within 1 (the whole).

    This standard is poorly summarized. The substandards are much more informative.

    Watch these Khan Academy videos:

    • Adding fractions with like denominators
    • Fraction word problem: spider eyes
    • Fraction word problem: piano
    • Fraction word problem: lizard
    • Subtracting fractions with like denominators
    • Adding mixed numbers with like denominators
    • Subtracting mixed numbers with like denominators
    • Writing improper fractions as mixed numbers
    • Writing mixed numbers as improper fractions
    • Comparing improper fractions and mixed numbers
    • Decomposing a fraction visually
    • Decomposing a mixed number

    Do these Khan Academy exercises:

    • Add fractions with common denominators
    • Add and subtract fractions word problems (same denominator)
    • Add and subtract mixed numbers (with regrouping)
    • Subtract fractions with common denominators
    • Add and subtract mixed numbers (no regrouping)
    • Write mixed numbers and improper fractions
    • Decompose fractions visually
    • Decompose fractions
    • Add and subtract mixed numbers word problems (like denominators)

    Next, give your students these challenges:

    • Sort the Street by NRICH
    • Unexpected Ordering by NRICH

    Conclude by leading this investigation:

    ConHex (strategy game)
    by MathPickle

    4.NF.B.3: Understand a fraction a/b with a > 1 as a sum of fractions 1/b.

    Lessons and practice problems