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MATHS SYLLABUS – YEAR 5 **(SCIENCE SYLLABUS – BELOW MATHS)**

Ma5/2.1 Number & Place Value

**Ma5/2.1a** read, write, order and compare numbers to at least 1,000,000 and determine the value of each digit

Ma5/2.1b count forwards or backwards in steps of powers of 10 for any given number up to 1,000,000

Ma5/2.1c interpret negative numbers in context, count forwards and backwards with positive and negative whole numbers,

including through 0

Ma5/2.1d round any number up to 1,000,000 to the nearest 10, 100, 1,000, 10,000 and 100,000

Ma5/2.1e solve number problems and practical problems that involve all of the above

Ma5/2.1f read Roman numerals to 1,000 (M) and recognise years written in Roman numerals.

Ma5/2.2 Addition & Subtraction

Ma5/2.2a add and subtract whole numbers with more than 4 digits,including using formal written methods (columnar addition and subtraction)

Ma5/2.2b add and subtract numbers mentally with increasingly large numbers

Ma5/2.2c use rounding to check answers to calculations and determine, in the context of a problem, levels of accuracy

Ma5/2.2d solve addition and subtraction multi-step problems in contexts, deciding which operations and methods to use and why.

Ma5/2.3 Multiplication & Division

Ma5/2.3a identify multiples and factors, including finding all factor pairs of a number, and common factors of two numbers.

Ma5/2.3b know and use the vocabulary of prime numbers, prime factors and composite (non- prime) numbers

Ma5/2.3c establish whether a number up to 100 is prime and recall prime numbers up to 19

Ma5/2.3d multiply numbers up to 4 digits by a one- or two-digit number using a formal written method, including long multiplication for two-digit numbers

Ma5/2.3e multiply and divide numbers mentally drawing upon known facts

Ma5/2.3f divide numbers up to 4 digits by a one-digit number using the formal written method of short division and interpret remainders appropriately for the context

Ma5/2.3g multiply and divide whole numbers and those involving decimals by 10, 100 and 1,000

Ma5/2.3h recognise and use square numbers and cube numbers, and the notation for squared (2) and cubed (3)

Ma5/2.3i solve problems involving multiplication and division, including using their knowledge of factors and multiples, squares and cubes

Ma5/2.3j solve problems involving addition, subtraction, multiplication and division and a combination of these, including understanding the meaning of the equals sign

Ma5/2.3k solve problems involving multiplication and division, including scaling by simple fractions and problems involving simple rates.

Ma5/2.4 Fractions (decimals & percentages)

Ma5/2.4a compare and order fractions whose denominators are all multiples of the same number

Ma5/2.4b identify, name and write equivalent fractions of a given fraction, represented visually, including tenths and hundredths

Ma5/2.4c recognise mixed numbers and improper fractions and convert from one form to the other and write mathematical statements > 1 as a mixed number

Ma5/2.4d add and subtract fractions with the same denominator and denominators that are multiples of the same number

Ma5/2.4e multiply proper fractions and mixed numbers by whole numbers, supported by materials and diagrams

Ma5/2.4f read and write decimal numbers as fractions

Ma5/2.4g recognise and use thousandths and relate them to tenths, hundredths and decimal equivalents

Ma5/2.4h round decimals with 2 decimal places to the nearest whole number and to 1 decimal place

Ma5/2.4i read, write, order and compare numbers with up to 3 decimal places

Ma5/2.4j solve problems involving number up to 3 decimal places

Ma5/2.4k recognise the per cent symbol (%) and understand that per cent relates to “number of parts per 100”, and write percentages as a fraction with denominator 100, and as a decimal fraction

Ma5/2.4l solve problems which require knowing percentage and decimal equivalents of 1/2, 1/4, 1/5, 2/5, 4/5 and fractions with a denominator of a multiple of 10 or 25.

Ma5/3.1 Measurement

Ma5/3.1a convert between different units of metric measure

Ma5/3.1b understand and use approximate equivalences between metric units and common imperial units such as inches, pounds and pints

Ma5/3.1c measure and calculate the perimeter of composite rectilinear shapes in centimetres and metres

Ma5/3.1d calculate and compare the area of rectangles (including squares) including using standard units, square centimetres (cm2) and square metres (m2) and estimate the area of irregular shapes

Ma5/3.1e estimate volume and capacity

Ma5/3.1f solve problems involving converting between units of time

Ma5/3.1g use all four operations to solve problems involving measure using decimal notation including scaling.

Ma5/3.2 Properties of Shape

Ma5/3.2a identify 3-D shapes, including cubes and other cuboids, from 2-D representations

Ma5/3.2b know angles are measured in degrees: estimate and compare acute, obtuse and reflex angles

Ma5/3.2c draw given angles, and measure them in degrees (o)

Ma5/3.2d identify:

• angles at a point and 1 whole turn (total 360o)

• angles at a point on a straight line and half a turn (total 180o)

• other multiples of 90o

Ma5/3.2e use the properties of rectangles to deduce related facts and find missing lengths and angles

Ma5/3.2f distinguish between regular and irregular polygons based on reasoning about equal sides and angles.

Ma5/3.3 Position & Direction

Ma5/3.3a identify, describe and represent the position of a shape following a reflection or translation, using the appropriate language, and know that the shape has not changed.

Ma5/4.1 Statistics

Ma5/4.1a solve comparison, sum and difference problems using information presented in a line graph

Ma5/4.1b complete, read and interpret information in tables, including timetables

YEAR 5 – SCIENCE SYLLABUS

Sc5/1 Working Scientifically

During years 5 and 6, pupils should be taught to use the following practical scientific methods, processes and skills through the teaching of the programme of study content:

Sc5/1.1 planning different types of scientific enquiries to answer questions, including recognising and controlling variables where necessary

Sc5/1.2 taking measurements, using a range of scientific equipment, with increasing accuracy and precision

Sc5/1.3 recording data and results of increasing complexity using scientific diagrams and labels, classification keys, tables, and bar and line graphs

Sc5/1.4 using test results to make predictions to set up further comparative and fair tests

Sc5/1.5 reporting and presenting findings from enquiries, including conclusions, causal relationships and explanations of results, in oral and written forms such as displays and other presentations

Sc5/1.6 identifying scientific evidence that has been used to support or refute ideas or arguments.

Sc5/2.1 Living Things and their habitats

Sc5/2.1a describe the differences in the life cycles of a mammal, an amphibian, an insect and a bird

Sc5/2.1b describe the life process of reproduction in some plants and animals.

Sc5/2.2 Animals, including humans

Sc5/2.2a describe the changes as humans develop to old age.

Sc5/3.1 Properties and Changes of Materials

Sc5/3.1a compare and group together everyday materials on the basis of their properties, including their hardness, solubility, transparency, conductivity (electrical and thermal), and response to magnets

Sc5/3.1b know that some materials will dissolve in liquid to form a solution, and describe how to recover a substance from a solution

Sc5/3.1c use knowledge of solids, liquids and gases to decide how mixtures might be separated, including through filtering, sieving and evaporating

Sc5/3.1d give reasons, based on evidence from comparative and fair tests, for the particular uses of everyday materials, including metals, wood and plastic

Sc5/3.1e demonstrate that dissolving, mixing and changes of state are reversible changes

Sc5/3.1f explain that some changes result in the formation of new materials, and that this kind of change is not usually reversible, including changes associated with burning and the action of acid on bicarbonate of soda.

Sc5/4.1 Earth and Space

Sc5/4.1a describe the movement of the Earth, and other planets, relative to the Sun in the solar system

Sc5/4.1b describe the movement of the Moon relative to the Earth

Sc5/4.1c describe the Sun, Earth and Moon as approximately spherical bodies

Sc5/4.1d use the idea of the Earth’s rotation to explain day and night, and the apparent movement of the sun across the sky.

Sc5/4.2 Forces

Sc5/4.2a explain that unsupported objects fall towards the Earth because of the force of gravity acting between the Earth and the falling object

Sc5/4.2b identify the effects of air resistance, water resistance and friction, that act between moving surfaces

Sc5/4.2c recognise that some mechanisms including levers, pulleys and gears allow a smaller force to have a greater effect