Fractions · B6 Mathematics

Lesson notes

Learning Objectives

Indicator: B6.1.3.1.1 - Compare and order a mixture of fractions: common, percent and decimal fractions (up to thousandths)

By the end of the lesson, learners can:

Convert any common fraction to a decimal or percent, and any decimal or percent to a common fraction, with accuracy up to thousandths.
Compare two fractions given in different forms (common, decimal, or percent) by first expressing them in one common form.
Order a mixture of three or more fractions (common, decimal, and percent) from least to greatest or greatest to least.
Locate and order fractions given in different forms on a number line.
Justify their ordering decisions by explaining the conversion or comparison strategy they used.

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Curriculum details

Strand: Number (Strand 1)
Sub-strand: Fractions (1.3)
Content standard: B6.1.3.1 - Demonstrate an understanding of strategies for comparing, adding, subtracting, multiplying and dividing common, decimal and percent fractions
Indicator: B6.1.3.1.1 - Compare and order a mixture of fractions: common, percent and decimal fractions (up to thousandths)
Suggested placement: Term 2, Week 3 (Week 15 of the year)
Our suggestion, laid out in curriculum order across three terms of twelve weeks. NaCCA does not fix the week, so follow your school's scheme of learning.
Source document note: The official curriculum document has a fault in this entry, so the curriculum text above is transcribed exactly as printed:

exemplars - p.131
Curriculum reference: Mathematics Curriculum for Primary Schools (Basic 4-6), 2019, p. 131
Transcribed from the official NaCCA publication. Check this page against the source.

Exemplars (from the NaCCA curriculum)

E.g. 1. To compare and order a mixture of common, decimal and percent fractions, express them in one form (i.e. either common, decimal or percent); e.g. to order 0.758, 5/8 and 73%; we have 5/8 = 625/1000 = 62.5%, 0.758 = 758/1000 = 75.8%, and 73% = 73/100 = 0.73, Hence the order from least to the largest is 5/8, 73% and 0.758
E.g. 2. To compare and order a mixture of common, decimal and percent fractions you can locate the fractions on the number and order them

Wide black-and-white mathematical teaching visual is organised as a number line with horizontal divisions, vertical... — A wide black-and-white mathematical teaching visual is organised as a number line with horizontal divisions, vertical divisions, open white space around the main marks. Visible labels, values, and notation include: 0; 0.1; 0.2; 0.3; 10; 0.4; 0.5; 0.6; B=0.78; B.Z; 1o; 0.8; C=85%; 0.9; 1.0.

 The fractions are stacked and are written inline. The number line in E.g. 2 is labelled A = 5/8, B = 0.78 and C = 85%, which do not match the values in E.g. 1; both are as printed.