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add and subtract fractions with the same denominator, and denominators that are multiples of the same number can solve problems by applying their mathematics to a variety of routine and non-routine problems with increasing sophistication, including breaking down problems into a series of simpler steps and persevering in seeking solutions explore what can and cannot be inferred in statistical and probabilistic settings, and begin to express their arguments formally Pupils could be introduced to compound units for speed, such as miles per hour, and apply their knowledge in science or other subjects as appropriate. Geometry - properties of shapes apply the concepts of congruence and similarity, including the relationships between lengths, {areas and volumes} in similar figures

This award-winning game makes learning to read fun, and is aimed at children in the first stages of learning to read, or for older children who need a bit more practice. develop algebraic and graphical fluency, including understanding linear and simple quadratic functions calculate the probability of independent and dependent combined events, including using tree diagrams and other representations, and know the underlying assumptionsinterpret when the structure of a numerical problem requires additive, multiplicative or proportional reasoning draw 2-D shapes and make 3-D shapes using modelling materials; recognise 3-D shapes in different orientations and describe them SEND: Please ensure you complete tasks using any objects to enable skills to be embedded. Please ensure you work alongside your child, explaining the activities to ensure they can complete tasks with confidence. They practise calculations with simple fractions and decimal fraction equivalents to aid fluency, including listing equivalent fractions to identify fractions with common denominators. interpret the gradient of a straight line graph as a rate of change; recognise and interpret graphs that illustrate direct and inverse proportion

Pupils develop reliable written methods for multiplication and division, starting with calculations of two-digit numbers by one-digit numbers and progressing to the formal written methods of short multiplication and division. translate simple situations or procedures into algebraic expressions or formulae; derive an equation (or 2 simultaneous equations), solve the equation(s) and interpret the solution Pupils continue to develop their understanding of fractions as numbers, measures and operators by finding fractions of numbers and quantities. Pupils record, interpret, collate, organise and compare information (for example, using many-to-one correspondence in pictograms with simple ratios 2, 5,10). Lower key stage 2 - years 3 and 4 choose and use appropriate standard units to estimate and measure length/height in any direction (m/cm); mass (kg/g); temperature (°C); capacity (litres/ml) to the nearest appropriate unit, using rulers, scales, thermometers and measuring vesselsPupils should use a variety of images to support their understanding of multiplication with fractions. This follows earlier work about fractions as operators (fractions of), as numbers, and as equal parts of objects, for example as parts of a rectangle.