Fractions and Their Relationships to Decimals and Percentage

Central idea:

An understanding of whole number computation can be applied to fractional and decimal numbers.

Key Concepts:

Form, Function and Connection

Lines of inquiry:

  • The operations we use to solve mathematical problems.
  • How we use number to solve mathematical problems.
  • The connections between operations with whole numbers, fractions and decimals.

Teacher questions:

  • What operations are used to solve mathematical problems? (form)
  • What strategies do we use to solve them? (function)
  • How are the operations we use for whole numbers applied to fractions and decimals? (connection)

Learning outcomes:

  • LO1. Investigate the relationship between a range of fractions, decimals and percents (P = Apply understanding of the relationship between f, % and d, Conversion, decimals 2 decimal places, finding the fraction and % of a whole – Multiples of 10 mentally, 10 and 5, problem solving using all skills.)
  • LO2. Understand and use equivalent fractions, improper fractions and mixed numbers (all operations = P, problem solving -HP)
Learning experiences:
Click on the links below to view our fractions units:

Benchmarks:

Relationships

  • MAT.NC.5.3: 3.  model percentages (I can show what percentages look like using materials or pictures)
  • MAT.NC.5.7: 7.  investigate the relationship between fractions, decimals and percentages.
  • MAT.NC.5.17: 17.  estimate and make approximations in real-life situations involving fractions, decimals and percentages.
  • MAT.NC.5.22: 22.  use fractions, decimals and percentages interchangeably in real- life situation

Fractions

  • MAT.NC.5.5: 5.  model, visualize and compare everyday fractions (i.e.1/2, 1/3, 1/4, 3/4 etc.) with their decimal and percent equivalents .
  • MAT.NC.5.6: 6.  model improper fractions and mixed numbers .
  • MAT.NC.5.14: 14.  identify lowest common multiple and highest common factor.
  • MAT.NC.5.15:  simplify fractions using manipulatives

 

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