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Mathematics
4.NF.1 – Explain why a fraction a/b is equivalent to a fraction (n × a)/(n × b) by using visual fraction models, with attention to how the number and size of the parts differ even though the two fractions themselves are the same size. Use this principle to recognize and generate equivalent fractions.
Samples: Equivalence. Matching equivalent fractions. Hundredths in their lowest forms. Equivalent Fractions.
Mathematics
3.NF.3 – Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size.
3.NF.3.a – Understand two fractions as equivalent (equal) if they are the same size, or the same point on a number line.
Samples: Equivalence. Matching equivalent fractions using fraction models. Matching equivalent fractions.
3.NF.3.b – Recognize and generate simple equivalent fractions, e.g., 1/2 = 2/4, 4/6 = 2/3). Explain why the fractions are equivalent, e.g., by using a visual fraction model.
Samples: Matching equivalent fractions using fraction models. Equivalence. Matching equivalent fractions.
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.
Samples: Halves, Thirds and Quarters. Identifying Fractions. Dividing groups into halves and quarters.
3.NF.3.d – Compare two fractions with the same numerator or the same denominator by reasoning about their size. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with the symbols >, =, or <, and justify the conclusions, e.g., by using a visual fraction model.
Samples: Comparing fractions as quantities. Compare fractions: using comparison symbols (<, =, >). Equivalence.
Fractions and decimals
ACMNA077 – Investigate equivalent fractions used in contexts
Samples: Fractions of an area. Comparing fractions as quantities. Comparing fractions - 1 whole. Equivalence.
Fractions and decimals
ACMNA102 – Compare and order common unit fractions and locate and represent them on a number line
Samples: Fractions on a number line: Activity 1. Equivalence. Compare to a half.
5.NA.1 – Apply additive and simple multiplicative strategies and knowledge of symmetry to:
5.NA.1.b – find fractions of sets, shapes, and quantities
Samples: Dividing by 3. Dividing by 3. Dividing by 4. Dividing by 4. Dividing by 6. Dividing by 6. Dividing by 7. Dividing by 7.
6.NA.1 – Apply additive and simple multiplicative strategies flexibly to:
6.NA.1.b – Find fractions of sets, shapes, and quantities
Samples: Dividing by 6. Dividing by 6. Dividing by 7. Dividing by 7. Dividing by 8. Dividing by 8. Dividing by 9. Division 9's.
KS2.Y3.N.F – Number - fractions
Pupils should be taught to:
KS2.Y3.N.F.4 – Recognise and show, using diagrams, equivalent fractions with small denominators
Samples: Equivalence. Modelling equivalent fractions. Equivalence - thirds and sixths.
KS2.Y4.N.F – Number - fractions (including decimals)
Pupils should be taught to:
KS2.Y4.N.F.1 – Recognise and show, using diagrams, families of common equivalent fractions
Samples: Matching equivalent fractions. Equivalence. Modelling equivalent fractions. Equivalence - thirds and sixths.
KS2.Y5.N.F – Number - fractions (including decimals and percentages)
Pupils should be taught to:
KS2.Y5.N.F.2 – Identify, name and write equivalent fractions of a given fraction, represented visually, including tenths and hundredths
Samples: Equivalence. Matching equivalent fractions. Hundredths in their lowest forms.