Learning Resource Type

Classroom Resource

Making Math Matter: Interpreting Remainders

Subject Area

Mathematics

Grade(s)

4, 5

Overview

In this video, teachers will learn classroom strategies for teaching how to interpret remainders in this professional development video from Making Math Matter.

    Mathematics (2019) Grade(s): 4

    MA19.4.3

    Determine and justify solutions for multi-step word problems, including problems where remainders must be interpreted.

    Unpacked Content

    UP:MA19.4.3

    Vocabulary

    • Operation
    • Multi Step problem
    • Remainder
    • Unknown quantity
    • Equation
    • Rounding
    • Mental strategy
    • Partition
    • Estimation
    • Reasonableness

    Knowledge

    Students know:
    • Context situations represented by the four operations.
    • How to calculate sums, differences, products, and quotients.
    • Estimation strategies to justify solutions as reasonable.

    Skills

    Students are able to:
    • Solve multi-step word situations using the four operations.
    • Represent quantities and operations physically, pictorially, or symbolically.
    • Write equations to represent the word problem and use symbols to represent unknown quantities.
    • Use context and reasoning to interpret remainders.
    • Use estimation strategies to assess reasonableness of answers by comparing actual answers to estimates.

    Understanding

    Students understand that:
    • Using problem solving strategies will help them determine which operation to use to solve a problem.
    • Remainders must be interpreted based on the context, and remainders are sometimes ignored, rounded up, or partitioned.
    Mathematics (2019) Grade(s): 4

    MA19.4.12

    Use strategies based on place value, properties of operations, and/or the relationship between multiplication and division to find whole-number quotients and remainders with one-digit divisors and up to four-digit dividends.

    Unpacked Content

    UP:MA19.4.12

    Vocabulary

    • Quotient
    • Dividend
    • Divisor
    • Divide
    • Multiply
    • Multiple
    • Equation
    • Remainder
    • Area model
    • Greatest multiple
    • Decompose
    • Compose
    • Array
    • Properties of operations
    • Unknown factor
    • Partial quotient

    Knowledge

    Students know:
    • How to decompose and compose numbers in a variety of ways using place value and the properties of operations to demonstrate a variety of strategies for division.
    • Division can be described as an unknown factor problem.
    • A variety of contextual situations can be represented with a division equation.

    Skills

    Students are able to:
    • Use strategies based on place value to find whole number quotients and remainders.
    • Use the properties of operations to find whole number quotients and remainders.
    • Use arrays and area models to find whole number quotients and remainders.
    • Illustrate division situations with rectangular arrays and area models.
    • Write an equation to represent a division situation.

    Understanding

    Students understand that:
    Division expressions represent
    • The number of objects in each group when the total number is partitioned evenly into a given number of groups.
    • The number of groups when the total number is partitioned into groups that each contain a given number.
    Mathematics (2019) Grade(s): 5

    MA19.5.7

    Use strategies based on place value, properties of operations, and/or the relationship between multiplication and division to find whole-number quotients and remainders with up to four-digit dividends and two-digit divisors. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.

    Unpacked Content

    UP:MA19.5.7

    Vocabulary

    • Quotient
    • Dividend
    • Divisor
    • Divide
    • Multiply
    • Equation
    • Remainder
    • Multiple
    • Area model
    • Decompose
    • Partial quotient
    • Equation

    Knowledge

    Students know:
    • Efficient strategies to find a whole number quotient when a multi-digit number (up to 4-digit dividend) is divided by a single-digit divisor.
    • How to justify quotients using an illustration or the relationship between multiplication and division.

    Skills

    Students are able to:
    • Find whole number quotients and remainders using a variety of strategies based on place value and properties of operations.
    • Illustrate and explain the calculation using equations, arrays, and area models.

    Understanding

    Students understand that:
    • Strategies for division by a one-digit divisor are extended to two-digit divisors.
    • Visual models are used to illustrate division.
    • Remainders may be written as a fraction or decimal and interpreted based on context of the problem situation.
    Link to Resource

    CR Resource Type

    Audio/Video

    Resource Provider

    PBS
    Accessibility
    License

    License Type

    CUSTOM
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