Division of Fractions: Using Fraction Strips

Learning Resource Type

Classroom Resource

Subject Area

Mathematics

Grade(s)

6, 7

Overview

This video focuses on modeling division of a whole number by fractions using fraction strips.

Mathematics (2019) Grade(s): 6

MA19.6.4

Interpret and compute quotients of fractions using visual models and equations to represent problems.

UP:MA19.6.4

Vocabulary

  • Visual fraction models
  • Dividend
  • Divisor
  • Quotient
  • Equation
  • Numerator
  • Denominator
  • Mixed number
  • Improper fraction

Knowledge

Students know:
  • Strategies for representing fractions and operations on fractions using visual models,
  • The inverse relationship between multiplication and division (a ÷ b = c implies that a = b x c).
  • Strategies to solve mathematical and conceptual problems involving quotients of fractions.

Skills

Students are able to:
  • Represent fractions and operations on fractions using visual models.
  • Interpret quotients resulting from the division of a fraction by a fraction.
  • Accurately determine quotients of fractions by fractions using visual models/equations.
  • Justify solutions to division problems involving fractions using the inverse relationship between multiplication and division.

Understanding

Students understand that:
  • The operation of division is interpreted the same with fractions as with whole numbers.
  • The inverse relationship between the operations of multiplication and division that was true for whole numbers continues to be true for fractions.
  • The relationships between operations can be used to solve problems and justify solutions and solution paths.
Mathematics (2019) Grade(s): 7

MA19.7.4

Apply and extend knowledge of operations of whole numbers, fractions, and decimals to add, subtract, multiply, and divide rational numbers including integers, signed fractions, and decimals.

UP:MA19.7.4

Vocabulary

  • Integers
  • Rational numbers
  • Additive inverses
  • opposite quantities
  • Absolute value
  • Terminating decimals
  • Repeating decimals

Knowledge

Students know:
  • a number and its opposite have a sum of 0.
  • A number and its opposite are called additive inverses.
  • Strategies for adding and subtracting two or more numbers.
  • Absolute value represents distance on a number line, therefore it is always non-negative.
  • Strategies for multiplying signed numbers.
  • Every quotient of integers (with non-zero divisor) is a rational number.
  • If p and q are integers, then -(p/q) = (-p)/q = p/(-q).
  • The decimal form of a rational number terminates or eventually repeats.

Skills

Students are able to:
  • add rational numbers.
  • Subtract rational numbers.
  • Represent addition and subtraction on a number line diagram.
  • Describe situations in which opposite quantities combine to make 0.
  • Find the opposite of a number.
  • Interpret sums of rational numbers by describing real-world contexts.
  • Show that the distance between two rational numbers on the number line is the absolute value of their difference.
  • Use absolute value in real-world contexts involving distances.
  • Multiply and divide rational numbers.
  • Convert a rational number to a decimal using long division.

Understanding

Students understand that:
  • finding sums and differences of rational numbers (negative and positive) involves determining direction and distance on the number line.
  • Subtraction of rational numbers is the same as adding the additive inverse, p - q = p + (-q).
  • If a factor is multiplied by a number greater than one, the answer is larger than that factor.
  • If a factor is multiplied by a number between 0 and 1, the answer is smaller than that factor.
  • Multiplication is extended from fractions to rational numbers by requiring that operations continue to satisfy the properties of operations, leading to products such as (-1)(-1) = 1 and the rules for multiplying signed numbers.
  • Integers can be divided, provided that the divisor is not zero.

CR Resource Type

Audio/Video

Resource Provider

PBS

License Type

CUSTOM
https://aptv.pbslearningmedia.org/resource/mgbh.math.nf.divofrac/division-of-fr…

Custom License Type (URL)

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

Approved Date

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