Number · B4 Mathematics

Lesson notes

Learning Objectives

Indicator: B4.1.5.1.2 - Compare and order a mixture of common, decimal and percent fractions (up to hundredths)

By the end of the lesson, learners can:

Convert common fractions, decimal fractions and percentages into one common form (decimal or percent) to compare them accurately.
Arrange a mixture of common fractions, decimals and percentages in ascending order (from least to greatest) using conversion to a single form.
Arrange a mixture of common fractions, decimals and percentages in descending order (from greatest to least).
Locate and order a mixture of common fractions, decimals and percentages on a number line.
Solve word problems that involve comparing and ordering mixed number forms in everyday situations, justifying their answers.

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Curriculum details

Strand: Number (Strand 1)
Content standard: B4.1.5.1 - Demonstrate an understanding of percent (limited to whole numbers) concretely, pictorially, and symbolically)
Indicator: B4.1.5.1.2 - Compare and order a mixture of common, decimal and percent fractions (up to hundredths)
Suggested placement: Term 2, Week 5 (Week 17 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.29
Curriculum reference: Mathematics Curriculum for Primary Schools (Basic 4-6), 2019, p. 29
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 4/5, 0.78 and 85% (i) we can express all as decimals -> 4/5 = 80/100; 0.78 = 78/100 and 85% = 85/100, hence the order from least to the largest is 0.78, 4/5 and 85%; (ii) we can also express all as percentages -> 4/5 = 80/100 = 80%, 0.78 = 79/100 = 79%, and 85/100 = 85%, hence the order from least to the largest is 0.78, 4/5 and 85%.
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. Visible labels, values, and notation include: 0; 0.1; 10; 0.2; 0.3; Order A=5; 0.4; 0.5; 0.6; B = 0.78; 0.8; C = 85%; /0.9; i.; 1.0.

 The fractions are stacked and are written inline. In E.g. 1 the page prints "0.78 = 79/100 = 79%" where 78/100 would be expected; it is transcribed as printed.