N7.3
Demonstrate an understanding of the relationships between positive decimals, positive fractions (including mixed numbers, proper fractions and improper fractions), and whole numbers.

[C, CN, ME, R, T]

Indicators for this outcome
(a)

Predict the decimal representation of a fraction based upon patterns and justify the reasoning (e.g., knowing the decimal equivalent of 1/8 and 2/8, predict and verify the decimal representation of 7/8).

(b)

Match a set of fractions to their decimal representations.

(c)

Sort a set of fractions into repeating or terminating decimals.

(d)

Explain and demonstrate how any terminating decimal can also be written as a repeating decimal.

(e)

Express a fraction as a terminating or repeating decimal.

(f)

Express a repeating decimal as a fraction.

(g)

Express a terminating decimal as a fraction.

(h)

Explain the relationship between fractions, decimals, and division.

(i)

Provide an example where the decimal representation of a fraction is an approximation of its exact value.

(j)

Order a set of numbers containing decimals, fractions, and/or whole numbers in ascending or descending orders and justify the order determined.

(k)

Identify, with justification, a number that would be between two given numbers (decimal, fraction, and/or whole numbers) in an ordered sequence or shown on a number line.

(l)

Identify incorrectly placed numbers within an ordered sequence or shown on a number line.

(m)

Order the numbers in a set of numbers by using benchmarks on a number line such as 0, ½ , and 1.

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The resources in this series provide a range of open questions that cover the various parts of a problem-solving lesson. These questions may be used to discuss math concepts, to provide practice for concepts and skills, to create extra challenges for students or to act as models for developing your own open questions. Each book in the series focuses on a specific strand: Number, Patterns and Relations/Statistics and Probability and Shape and Space.
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Media and Formats : Book
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Media and Formats : Book
Price : See publisher.
Record posted/updated: May 18, 2022