Scottish CfE

National 3 Applications of Mathematics

Practical Applications of Mathematics for pupils moving from BGE and Third Level readiness into supported secondary numeracy. The course uses money, time, measure, data, probability and everyday problem solving without making the work feel babyish.

Topic library

Topics use practical contexts, supported examples, visual prompts, practice questions and quizzes for National 3 Applications learners.

Progress is saved on this device only. No account is needed.

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Learning supports built into the pathway

Money and time

Short real-life contexts for totals, change, wages, durations and timetable reading.

Measure and scale

Unit reminders, labelled diagrams and step-by-step area, volume and scale methods.

Data handling

Tables, bar charts, pictograms, simple line graphs and clear statements from data.

Problem solving

Worked examples show how to pick an operation, keep units and write a sensible answer.

Revision and printable resources

Use mixed revision for retrieval, worksheet packs for written practice, and homework for short independent consolidation.

Fractions, Percentages and Ratio

Supported proportional thinking in shopping, recipes, sharing and everyday quantities.

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Numeracy: percentages and proportion

Percentages

Finding simple percentages in shopping, discounts, surveys and everyday money contexts.

Focus: Build confidence with 10%, 25%, 50%, simple discounts and answer checks.

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Numeracy: fractions and parts of amounts

Fractions

Fractions in sharing, quantities, simple measure and practical contexts.

Focus: Build confidence with halves, quarters, equivalent fractions, and sharing.

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Numeracy: ratio and scaling

Ratio

Simple ratios, sharing in parts, and scaling recipes or classroom resources.

Focus: Work with ratio parts, simple sharing and small recipe changes.

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Money, Time, Tables and Graphs

Everyday money, timetable, data and chance contexts for supported secondary numeracy.

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Finance: money in context

Money

Totals, change, simple budgets, wages, best value and short spending decisions.

Focus: Try totals, change, simple wages and everyday money choices.

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Numeracy: time and scheduling

Time

Reading time, journey durations, finish times and everyday timetables.

Focus: Work on 24-hour time, short durations, start and finish times, and timetables.

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Statistics: data handling

Tables and Graphs

Tables, tally charts, bar charts, pictograms, line graphs, range and simple averages.

Focus: Read charts, compare values, find range and make simple statements from data.

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Statistics: probability

Probability

Chance words, simple outcomes, and probability fractions.

Focus: Use likely, unlikely, outcomes and simple probability fractions.

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Measure, Shape and Problem Solving

Practical measuring skills for units, perimeter, area, volume, journeys and choosing methods.

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Measures: units and scale

Measurement

Choosing units, simple conversions, perimeter, scale and classroom measurements.

Focus: Strengthen metres, centimetres, kilograms, grams, perimeter and scale.

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Geometry: area

Shape, Area and Perimeter

Area and perimeter for rectangles, triangles and simple compound shapes.

Focus: Find rectangle area, triangle area and simple combined shapes.

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Geometry: volume and capacity

Volume

Volume and capacity for cubes, cuboids, and containers.

Focus: Work on cube and cuboid volume with simple capacity conversions.

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Measures: compound measures

Speed, Distance and Time

Use speed, distance, and time in short practical journeys.

Focus: Use distance, speed and time with simple journey facts.

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