- representing
- observing and describing situations
- comparing
- relating to quantity.
[C, CN, R]
(a) |
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. |
(b) |
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). |
(c) |
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). |
(d) |
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. |
(e) |
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. |
(f) |
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. |
(g) |
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. |
(h) |
Explain the role of the numerator and denominator in a fraction. |
(i) |
Demonstrate how a fraction can represent a different amount if a different size of whole, group, region, or length is used. |
(j) |
Compare, concretely, pictorially, physically, or orally, and order a set of fractions with either equivalent denominators or equivalent numerators. |
(k) |
Represent a fraction as part of a whole, group, region, or length and explain the representation. |
(l) |
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). |