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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 › Multiplication

    Multiply, abstract

    Multiply one-digit numbers. Practice until all one-digit multiplication facts have been memorized. There are many tricks that can be used to help along the way. One way to multiply by 4 is to double twice. One way to multiply by 8 is to double three times. In addition to the mental tricks, students will also learn two finger tricks. The first trick will help them multiply 1-10 by 9. The second trick will help them multiply 6-10 by 6-10. A good demo of the first trick can be found here, and a demo of the second is here. A good personal account of teaching multiplication to a struggling student can be found here. Next, have your students play multiplicative bingo, as seen here. In the video, he recommends students pass their game boards after making them, but I think this is a bad idea. If I were playing this game, I would certainly want to hold onto my board, and I assume others would feel similarly. Finally, lead this investigation.

    Watch these Khan Academy videos:

    • Unknowns with multiplication and division
    • Multiplication as equal groups

    Do these Khan Academy exercises:

    • Multiply by 2 and 4
    • Divide by 3
    • Divide by 7
    • Basic division
    • Find missing divisors and dividends (1-digit division)
    • Divide by 1
    • Find missing factors (1-digit multiplication)
    • Represent multiplication on the number line
    • Divide by 10
    • Multiply by 6
    • Multiply by 8
    • Multiply by 3
    • Multiply by 4
    • Multiply by 0 or 1
    • Multiply by 2
    • Multiply by 10
    • Divide by 2
    • Multiply by 7
    • Relate repeated addition to multiplication
    • Divide by 4
    • Divide by 6
    • Basic multiplication
    • Multiply by 5
    • Multiply by 5 and 10
    • Divide by 9
    • Multiply by 3 and 6
    • Divide by 8
    • Multiply by 9
    • Divide by 5

    Conclude by leading this investigation:

    Packing Pasta (estimate, measure, volume)
    by MathPickle

    3.OA.C.7: Fluently multiply and divide within 100, using strategies such as the relationship between multiplication and division (e.g., knowing that 8 × 5 = 40, one knows 40 ÷ 5 = 8) or properties of operations. By the end of Grade 3, know from memory all products of two one-digit numbers.

    Lessons and practice problems