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Mathematics // Probability

Understand that when all possible outcomes of a trial are listed, their probabilities must add up to 1; use this to find the probability of an event NOT…

Mathematics // Probability

Run repeated probability experiments and compare experimental (relative frequency) results with theoretical predictions; understand and demonstrate that as the…

Mathematics // Probability

Understand and apply the rule that probabilities of all mutually exclusive outcomes sum to one; use this to find the probability of a complementary event (P(not…

Mathematics // Probability

Understand probability as a measure on a scale from 0 (impossible) to 1 (certain); use the language of probability including likely, unlikely, certain, and…

Mathematics // Probability

Record, describe, and analyse the frequency of outcomes from probability experiments to develop an understanding of relative frequency as an estimate of…

Mathematics // Ratio & Proportion

Represent ratio and proportion problems using bar models (rectangular strips divided into equal parts labelled with quantities) and tape diagrams (segmented…

Mathematics // Ratio & Proportion

Know and use the vocabulary of ratio and proportion — ratio, proportion, percentage, scale, equivalent, unequal, relative size, part-to-part, part-to-whole, and…

Mathematics // Ratio & Proportion

Solve problems involving the calculation of percentages of amounts (e.g. 15% of 360) and the use of percentages for comparison

Mathematics // Ratio & Proportion

Solve problems involving similar shapes where the scale factor is known or can be found

Mathematics // Ratio & Proportion

Solve problems involving the relative sizes of two quantities where missing values can be found by using integer multiplication and division facts

Mathematics // Ratio & Proportion

Solve problems involving unequal sharing and grouping using knowledge of fractions and multiples

Mathematics // Ratio & Proportion

Use compound units such as speed (distance ÷ time), unit pricing (cost ÷ quantity), and density (mass ÷ volume); solve problems involving compound units

Mathematics // Ratio & Proportion

Use scale factors to interpret and create scale diagrams and maps, calculating real-life distances from map measurements and vice versa

Mathematics // Ratio & Proportion

Express one quantity as a fraction of another where the result may be less than 1 or greater than 1, and interpret the meaning in context

Mathematics // Ratio & Proportion

Define percentage as 'number of parts per hundred'; interpret percentages and percentage changes as a fraction or a decimal; express one quantity as a…

Mathematics // Ratio & Proportion

Convert freely between related standard units of measurement (time, length, area, volume/capacity, mass) using decimal notation to up to three decimal places…

Mathematics // Ratio & Proportion

Use ratio notation to describe the relationship between two or more quantities, simplify ratios to their simplest form, and convert between ratio and fraction…

Mathematics // Ratio & Proportion

Divide a given quantity into two parts in a given part:part or part:whole ratio, and express the division as a fraction of the whole

Mathematics // Ratio & Proportion

Know and use advanced vocabulary of multiplicative reasoning — direct proportion, inverse proportion, ratio, rate, unit rate, compound unit, scale factor…

Mathematics // Ratio & Proportion

Represent proportional relationships using double number lines (two parallel number lines aligned at 0) and ratio tables; recognise that equivalent ratios…