Connect place value, calculation and multiplicative thinking
Year 3 introduces greater numerical range and more formal recording, but the underlying ideas still need to be visible. LTD helps pupils connect hundreds, tens and ones, use known facts strategically and understand the representations behind written methods.
Pupils using place value counters, arrays, grouping models or fraction strips.
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The move into Key Stage 2
Pupils are expected to work with greater independence, but independence is not the same as abstraction. Practical materials and visual models remain valuable when they are used to reveal structure and connected clearly with notation.
LTD helps teachers decide when to model, when pupils should investigate and when the representation has done its job.
Three-digit place value
Pupils build, read, write, compare, order and partition three-digit numbers. They unitise hundreds, tens and ones and explore how a number can be renamed without changing its value.
This provides a stronger basis for mental and written calculation, rounding and estimation.
Addition and subtraction
Pupils apply place value, known facts and partitioning to calculations with increasingly large numbers. Practical resources and written representations are connected carefully so exchange is understood as renaming one unit for ten of the next smaller unit.
Mental strategies and written methods are selected according to the numbers, rather than taught as unrelated topics.
Multiplication and division
Arrays, equal groups and length models help pupils develop multiplication and division facts, including the 3, 4 and 8 tables. Doubling relationships, commutativity and inverse facts reduce the number of isolated facts pupils need to learn.
The same representations support early written multiplication and division.
Fractions
Pupils find fractions of quantities, recognise unit and non-unit fractions, compare simple fractions and begin working with equivalence. Fraction strips, number lines and area models help pupils see fractions as numbers and relationships, not only shaded pieces of shape.
Measurement, geometry and statistics
LTD tasks give pupils reasons to measure, calculate with units, tell time, work with money, examine angles and shape properties, and interpret data. Practical contexts are used to develop the mathematics rather than distract from it.
Year 3 resources inside LTD
- Yearly overview and whole-school links
- Lesson videos and detailed plans
- Place value counters and charts
- Array and multiplication models
- Fraction strips and number lines
- Measurement investigations
- Independent tasks
- Assessment and diagnostic materials
Address gaps without lowering the mathematical ambition
When pupils have unfinished learning, teachers can trace back to the concept that needs strengthening. A practical representation can make an earlier idea accessible while the class continues to work towards the Year 3 goal.
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