Knowledge, skills and understanding
Numbers and the number system
KS2.Ma2.2 – Pupils should be taught to:
Fractions, percentages and ratio
KS2.Ma2.2.g – Recognise approximate proportions of a whole and use simple fractions and percentages to describe them, explaining their methods and reasoning
Samples: Simple Quantities (fractions of whole numbers). Percentages of numbers (answers whole numbers).
Fractions and decimals
ACMNA127 – Find a simple fraction of a quantity where the result is a whole number, with and without digital technologies
Samples: Equivalent Fractions. Reducing a fraction to its simplest form tutorial.
ACMNA131 – Make connections between equivalent fractions, decimals and percentages
Samples: Equivalent Fractions. Reducing a fraction to its simplest form tutorial. Changing mixed fractions to decimals.
Money and financial mathematics
ACMNA132 – Investigate and calculate percentage discounts of 10%, 25% and 50% on sale items, with and without digital technologies
Samples: Increasing by a Percentage. Simple Interest. Decreasing by a Percentage. Discounting.
Real numbers
ACMNA157 – Connect fractions, decimals and percentages and carry out simple conversions
Samples: Equivalent Fractions. Representing fractions a percentages tutorial.
ACMNA158 – Find percentages of quantities and express one quantity as a percentage of another, with and without digital technologies.
Samples: Simple Quantities (fractions of whole numbers). Percentages of numbers (answers whole numbers).
7.NA.1 – Apply additive and multiplicative strategies flexibly to whole numbers, ratios, and equivalent fractions (including percentages)
Samples: Ordering large numbers. Numbers. Addition of three digit numbers. Adding three numbers. Times tables revision.
Mathematics
6.RP.3 – Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations.
6.RP.3.c – Find a percent of a quantity as a rate per 100 (e.g., 30% of a quantity means 30/100 times the quantity); solve problems involving finding the whole, given a part and the percent.
Samples: Simple Quantities (fractions of whole numbers). Percentages of numbers (answers whole numbers).