B2.8: Show that the numerator of a fraction counts unit fractions, for…
Show that the numerator of a fraction counts unit fractions, for example 3/5 is 1/5 + 1/5 + 1/5, using tools, drawings and standard fractional notation.
The Ontario Mathematics, Grades 1–8 outcome B2.8 (Number) for Grade 3 says: “Show that the numerator of a fraction counts unit fractions, for example 3/5 is 1/5 + 1/5 + 1/5, using tools, drawings and standard fractional notation.” This Fieldbook unit teaches it hands-on, with everyday materials and a printable teacher guide and student sheet for every lesson. Official wording: Ontario Mathematics, Grades 1–8.
Fair Shares: Fractions and Decimals Grades 3–4
Is half always the same size? Where does three-quarters stand? Why is 3/4 + 2/4 not 5/8? Who jumped further, 1.4 m or 1.35 m? Four hands-on lessons where students fold, stand on a giant number line, measure recipes and measure their own jumps to make sense of fractions and decimals.
- Which recipe makes more? 50–60 min
Teams measure three trail-mix recipes with fraction cups and dry rice, and find that 3/4 cup plus 2/4 cup overflows the 1-cup mark. Students add and decompose fractions with the same denominator, catch the 'add the bottoms too' mistake with real evidence, and compare totals greater than one.
Printable practice for B2.8
- Fair Shares: Fractions and Decimals workbook included with the unit
2 English-support pages, 2 practice pages, 2 readings, 1 word wall, 1 unit review, 1 unit test, with answer keys.
- Grade 3 Ontario Math: Number printable pack
3 practice pages, 3 assessments, 1 activity, with answer keys. Free sample.
- Grade 4 Ontario Math: Number printable pack
2 assessments, 1 practice page, with answer keys. Free sample.
- Grade 3 Common Core Math: Number and Operations printable pack
3 practice pages, 3 assessments, 1 activity, with answer keys. Free sample.
- Grade 4 Common Core Math: Number and Operations printable pack
2 assessments, 1 practice page, with answer keys. Free sample.
Need just this outcome? Build a custom pack from these pages, with its answer key, in about a minute. Custom packs come with All-access and school licences.
Compared with Common Core: 3.NF.A.1.
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