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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.
4.NF.7 – Compare two decimals to hundredths by reasoning about their size. Recognize that comparisons are valid only when the two decimals refer to the same whole. Record the results of comparisons with the symbols >, =, or <, and justify the conclusions, e.g., by using a visual model.
Samples: Compare and order decimals: Activity 1. Compare to a half. Compare fractions: using comparison symbols (<, =, >).
Fractions and decimals
ACMNA125 – Compare fractions with related denominators and locate and represent them on a number line
Samples: Equivalence to a half - identifying the numerator. Compare fractions to a half.
Patterns and algebra
ACMNA133 – Continue and create sequences involving whole numbers, fractions and decimals. Describe the rule used to create the sequence
Samples: Multiplying By Multiples Of 10. Equivalence to a half - identifying the numerator. Equivalent Fractions.
7.NA.1 – Apply additive and multiplicative strategies flexibly to whole numbers, ratios, and equivalent fractions (including percentages)
Samples: Large numbers presented in tables. Reading large numbers. Write numbers – over one million (common).
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.