Making Math Matter: Interpreting Remainders

Learning Resource Type

Classroom Resource

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.

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.

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.

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.

CR Resource Type

Audio/Video

Resource Provider

PBS

License Type

CUSTOM
https://aptv.pbslearningmedia.org/resource/f806c92d-823b-4856-86de-31bd64a0babd…

Custom License Type (URL)

https://aptv.pbslearningmedia.org/help/terms-of-use/

Approved Date

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