Math Games

Grade 3 - Number

Standard 3.N.4 - Compare and sort fractions up to twentieths, arranging them in order from least to greatest or greatest to least.

Included Skills:

Demonstrate understanding of fractions concretely, pictorially, physically, and orally including:
• representing
• observing and describing situations
• comparing
• relating to quantity.
• Identify and observe situations relevant to self, family, or community in which fractional quantities would be measured or used and explain what the fraction quantifies.
• Explore First Nations and Métis methods of observing and representing fractional quantities (e.g., consider the concept of sharing from a First Nations or Métis holistic worldview).
• Explain the relationship of a representation of a fraction to both a quantity of zero and a quantity of one (the whole or entire group, region, or length).
• Divide a whole, group, region, or length into equal parts (concretely, physically, or pictorially), demonstrate that the parts are equal in quantity, and name the quantity represented by each part.
• Analyze a set of diagrams or concrete representations to sort the representations into those that represent the same fraction and those that do not, and explain the sorting.
• Analyze representations of a set of fractions of a whole, group, region, or length that all have the same numerator (e.g., 2/3, 2/4, 2/5) and explain what about the fractional quantities is similar and what is different.
• Analyze representations of a set of fractions of a whole, group, region, or length that all have the same denominator (e.g., 0/5, 1/5, 2/5, 3/5, 4/5, 5/5) and explain what about the fractional quantities is similar and what is different.
• Explain the role of the numerator and denominator in a fraction.
• Demonstrate how a fraction can represent a different amount if a different size of whole, group, region, or length is used.
• Compare, concretely, pictorially, physically, or orally, and order a set of fractions with either equivalent denominators or equivalent numerators.
• Represent a fraction as part of a whole, group, region, or length and explain the representation.
• Explain how a region can be divided into unequal parts, but the parts still represent a fraction of the region (e.g., Canada divided into provinces and territories which are not equal in area).