Knowledge, skills and understanding
Calculations
KS1.Ma2.3 – Pupils should be taught to:
Number operations and the relationships between them
KS1.Ma2.3.b – Understand multiplication as repeated addition; understand that halving is the inverse of doubling and find one half and one quarter of shapes and small numbers of objects; begin to understand division as grouping (repeated subtraction); use vocabulary associated with multiplication and division
Samples: Groups of 2. Identifying the amounts in a group. Rows of ten. Share 12 equally. Identifying fractions tutorial.
Knowledge, skills and understanding
Numbers and the number system
KS2.Ma2.2 – Pupils should be taught to:
Fractions, percentages and ratio
KS2.Ma2.2.d – Understand unit fractions [for example, one-third or one-eighth] then fractions that are several parts of one whole [for example, two-thirds or five-eighths], locate them on a number line and use them to find fractions of shapes and quantities
Samples: Identifying fractions tutorial. Comparing fractions tutorial. Identifying fractions tutorial.
KS2.Ma2.2.e – Understand simple equivalent fractions and simplify fractions by cancelling common factors; compare and order simple fractions by converting them to fractions with a common denominator, explaining their methods and reasoning
Samples: Identifying fractions tutorial. Recognizing and naming hundredths tutorial.
Fractions and decimals
ACMNA016 – Recognise and describe one-half as one of two equal parts of a whole.
Samples: Halves - identifying an equal share. Identifying fractions tutorial.
Fractions and decimals
ACMNA033 – Recognise and interpret common uses of halves, quarters and eighths of shapes and collections
Samples: Identifying fractions tutorial. Dividing groups into halves and quarters tutorial. Halves and quarters tutorial.
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
Samples: Identifying fractions tutorial. Comparing fractions tutorial. Recognizing and naming hundredths tutorial.
Fractions and decimals
ACMNA077 – Investigate equivalent fractions used in contexts
Samples: Equivalence - halves, quarters and eighths tutorial. Identifying fractions tutorial.
3.NA.1 – Apply basic addition facts and knowledge of place value and symmetry to:
3.NA.1.b – Find fractions of sets, shapes, and quantities
Samples: Dividing groups into halves and quarters tutorial. Identifying fractions tutorial. Share 12 equally.
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
Samples: Identifying fractions tutorial. Dividing groups into halves and quarters tutorial. Comparing fractions tutorial.
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: Equivalence - halves, quarters and eighths tutorial. Identifying fractions tutorial.
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.
Samples: Halves - identifying an equal share. Identifying fractions tutorial.
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.
Samples: Identifying fractions tutorial. Dividing groups into halves and quarters tutorial. Share 12 using division symbol.
Mathematics
3.NF.1 – Understand a fraction 1/b as the quantity formed by 1 part when a whole is partitioned into b equal parts; understand a fraction a/b as the quantity formed by a parts of size 1/b.
Samples: Comparing fractions tutorial. Identifying fractions tutorial. Identifying fractions tutorial.
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 - halves, quarters and eighths tutorial. Identifying fractions tutorial.
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: Equivalence - halves, quarters and eighths tutorial. Identifying fractions tutorial. Fractions and times tables.
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: Identifying fractions tutorial. Identifying fractions tutorial. Halves and quarters tutorial.
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.
Samples: Identifying fractions tutorial. Comparing fractions tutorial. Recognizing and naming hundredths tutorial.
Mathematics
4.NF.2 – Compare two fractions with different numerators and different denominators, e.g., by creating common denominators or numerators, or by comparing to a benchmark fraction such as 1/2. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with symbols >, =, or <, and justify the conclusions, e.g., by using a visual fraction model.
Samples: Identifying fractions tutorial. Identifying fractions tutorial. Equivalent Fractions. Halves and quarters tutorial.