# Essentially subject to approval

INITIAL TEACHER TRAINING NATIONAL CURRICULUM

Primary mathematics

Candidates must demonstrate that they know and understand: Number algebra

* the real number system

* the arithmetic of integers, fractions and decimals * forming equalities and inequalities * rational and irrational numbers - simple recurring decimals Indices: * representing numbers in index form including positive and negative integer exponents * standard form Number operations and algebra: * using the associative, commutative and distributive laws * use of cancellation to simplify calculations * using the multiplicative structure of ratio and percentage to solve problems * finding factors and multiples of numbers and of simple algebraic expressions * constructing general statements * manipulating simple algebraic expressions and using formulae * knowing when numerical expressions and algebraic expressions are equivalent * number sequences, their nth terms and their sums Equations, functions and graphs:

* forming equations and solving linear and simultaneous linear equations, finding exact solutions * interpreting functions and finding inverses of simple functions * representing functions graphically and algebraically * the significance of gradients and intercepts * interpreting graphs and using them to solve equations Mathematical reasoning proof * the difference between mathematical reasoning and mathematical explanation * following rigorous mathmatical argument * methods of proof, including simple deductive proof, proof by exhaustion and disproof by counter example Measures * that the basis of measures is exact and that practical measurement is approximate * standard measures and compound measures including rates of change * the relationship between measures including length, area, volume and capacity * the importance of unit and use of proportion Shape and space * Cartesian co-ordinates in 2-D

* 2-D transformations * angles, congruence and similarity in triangles and other shapes * geometrical constructions * identifying and measuring properties of 2-D shapes * using Pythagoras's theorem * the relationships between 2-D shapes * calculation of the area of circles and sectors, the length of circumferences and arcs * using formulae of the surface area and volume of prisms * 3-D solids and shapes and recognising the properties and characteristics Probability statistics * using discrete and continuous data and understanding the difference * tabulating and representing data diagrammatically and graphically * interpreting data and predicting from data * finding and using the mean and other central measures * finding and using measures of spread to compare distributions * using systematic methods for identifying counting and organising events and outcomes * understanding the difference between probability and observed relative frequences * recognise independent and mutually exclusive events

Primary English Candidates must demonstrate that they know and understand the following aspects of language: Lexical * phonology - the sound system of language * graphology - the writing system * how the writing system represents the sound system * morphology - word structure and derivations * word meanings and how words relate to each other Grammatical * the grammatical function of wordsphrases in clauses and sentences * word order and cohesion within sentences * types of sentences - statements, questions, commands, exclamations * simple, compound and complex sentences in writing * punctuation - its main functions and conventions Textual * cohesion - the way that individual words, sentences and paragraphs work together to convey meaning, including the logic and sequence of ideas * layout - including paragraphs and conventions associated with particular forms of writing

* organisation - including the structure of written text, the order of paragraphs and the chronology of plot Plus how to evaluate text and language critically * an ability to analyse different types of fiction, poetry and non-fiction texts, evaluating their quality and making judgments * how information and ideas are presented and can be interpreted in different ways depending on point of view, context, purpose and audience Technical terms * sub-lexical features including grapheme, diagraph, trigrah, phoneme, blend, onset, rime, syllable, morpheme, roots of words, dipthong, prefix, suffix * syntactic and grammatical features including word classes (eg, adverb, pronoun, preposition) word function (eg, subject, object, predicate,) simile, compound and complex sentences, clauses and phrases, finite and non-finite verbs * textual features including: figurative language (eg, simile and metaphor), cohesion, voice, style, genre.

A national curriculum for primary science will go to consultation next year

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