## Equivalence - quarters and eighths

Activity type: Printable

## Equivalence - quarters and eighths

Course
Mathematics
Year 3
Section
Fractions
Outcome
A half, quarter and eighth of shapes and objects.
Activity Type
Printable
Activity ID
3776

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## United Kingdom – National Curriculum

• ##### Year 1 programme of study
• KS1.Y1.N.F – Number - Fractions

• Pupils should be taught to:

• KS1.Y1.N.F.2 – Recognise, find and name a quarter as 1 of 4 equal parts of an object, shape or quantity

## Australia – Australian Curriculum

• ##### Number and Algebra
• Fractions and decimals

• ACMNA016 – Recognise and describe one-half as one of two equal parts of a whole.

• ##### Number and Algebra
• Fractions and decimals

• ACMNA033 – Recognise and interpret common uses of halves, quarters and eighths of shapes and collections

• ##### Number and Algebra
• Fractions and decimals

• ACMNA058 – Model and represent unit fractions including 1/2, 1/4, 1/3, 1/5 and their multiples to a complete whole

• ##### Number and Algebra
• Fractions and decimals

• ACMNA077 – Investigate equivalent fractions used in contexts

## New Zealand – National Standards

• ##### 3.NA – Number and algebra
• 3.NA.1 – Apply basic addition facts and knowledge of place value and symmetry to:

• ##### 4.NA – Number and algebra
• 4.NA.1 – Apply basic addition and subtraction facts, simple multiplication facts, and knowledge of place value and symmetry to:

• 4.NA.1.b – Find fractions of sets, shapes, and quantities

## United States – Common Core State Standards

• ##### 1.G – Geometry
• Mathematics

• 1.G.3 – Partition circles and rectangles into two and four equal shares, describe the shares using the words halves, fourths, and quarters, and use the phrases half of, fourth of, and quarter of. Describe the whole as two of, or four of the shares. Understand for these examples that decomposing into more equal shares creates smaller shares.

• ##### 2.G – Geometry
• Mathematics

• 2.G.3 – Partition circles and rectangles into two, three, or four equal shares, describe the shares using the words halves, thirds, half of, a third of, etc., and describe the whole as two halves, three thirds, four fourths. Recognize that equal shares of identical wholes need not have the same shape.

• ##### 3.G – Geometry
• Mathematics

• 3.G.2 – Partition shapes into parts with equal areas. Express the area of each part as a unit fraction of the whole. For example, partition a shape into 4 parts with equal area, and describe the area of each part as 1/4 of the area of the shape.

• ##### 3.NF – Number & Operations—Fractions¹ (Grade 3 expectations in this domain are limited to fractions with denominators 2, 3, 4, 6, 8.)
• Mathematics

• 3.NF.3 – Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size.

• 3.NF.3.c – Express whole numbers as fractions, and recognize fractions that are equivalent to whole numbers. Examples: Express 3 in the form 3 = 3/1; recognize that 6/1 = 6; locate 4/4 and 1 at the same point of a number line diagram.