B5 Mathematics · Term 2 Week 3: Ratios and Proportion

Lesson notes

Learning Objectives

Indicator: B5.1.4.1.2 - Compare and order decimal fractions and a mixture of common and decimal fractions (up to the thousandths) using the symbols <, >, or =

By the end of the lesson, learners can:

Compare two decimal fractions up to the thousandths place using the symbols <, >, or =.
Convert common fractions and percentages to decimal form (up to the thousandths) to enable comparison.
Order a mixture of common fractions, decimal fractions, and percentages from least to greatest.
Locate and order mixed fractions on a number line to verify their order.
Justify their reasoning when comparing and ordering fractions, explaining the strategy they used.

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Curriculum details

Strand: Number (Strand 1)
Sub-strand: Ratios and Proportion (1.4)
Content standard: B5.1.4.1 - Demonstrate understanding of decimals fractions and strategies for comparing, adding and subtracting decimal fraction
Indicator: B5.1.4.1.2 - Compare and order decimal fractions and a mixture of common and decimal fractions (up to the thousandths) using the symbols <, >, or =
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.78
Curriculum reference: Mathematics Curriculum for Primary Schools (Basic 4-6), 2019, p. 78
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

Figure from the b5 mathematics curriculum, printed page 78

 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.