What your child learns

109 skills · 59 in maths, 50 in English · Kindergarten to Grade 9

This is the whole syllabus, not a sample. Every skill below is one the tutor actually teaches, in the order it is taught, and each is taught with a worked example before your child is asked a single question about it.

A child does not work through this list by grade. A short placement test finds where they genuinely are — which is often not where their school year says — and they move up only after showing they can do the work consistently, across several days rather than in one good sitting.

Mathematics · 59 skills

Level 1

Counting & number recognition

Kindergarten
  1. Counting to 20counting objects one by one and saying how many, up to 20
  2. Reading & writing numbersmatching a written numeral to a quantity, and writing the numeral for a set
  3. Number orderwhat comes before and after a number, and ordering small numbers
  4. More, fewer & equalcomparing two small groups: which has more, fewer, or the same
  5. Basic shapesrecognising and naming circle, square, triangle, rectangle
Level 2

Addition & subtraction within 20

Grade 1
  1. Adding within 10single-digit addition with sums up to 10
  2. Subtracting within 10single-digit subtraction within 10, including take-away and difference
  3. Adding within 20addition with sums between 11 and 20, including making ten
  4. Subtracting within 20subtraction from numbers up to 20, including bridging ten
  5. Tens & onesplace value to 100: how many tens and ones make a two-digit number
  6. Simple word problemsone-step add or subtract word problems within 20
Level 3

Multi-digit add/subtract, intro multiplication

Grade 2
  1. Adding two-digit numbersadding two-digit numbers, with and without regrouping
  2. Subtracting two-digit numberssubtracting two-digit numbers, with and without regrouping
  3. Skip countingcounting by 2s, 5s and 10s and spotting the pattern
  4. Equal groupsmultiplication as repeated addition of equal groups
  5. Arraysrows and columns as a picture of multiplication
  6. Two-step word problemsword problems needing two operations within 100
Level 4

Multiplication & division facts

Grade 3
  1. Times tables: 2, 5, 10multiplication facts for 2, 5 and 10
  2. Times tables: 3, 4, 6multiplication facts for 3, 4 and 6
  3. Times tables: 7, 8, 9multiplication facts for 7, 8 and 9
  4. Division as the oppositedivision as the inverse of multiplication, using known facts
  5. Division factsdivision facts within the times tables, including remainders of zero
  6. Multiplication & division problemsword problems choosing between multiplication and division
Level 5

Fractions & decimals

Grade 4
  1. Fractions as partsnaming a fraction from a shaded shape or a set
  2. Equivalent fractionsrecognising and generating equivalent fractions, and simplifying
  3. Adding & subtracting fractionsadding and subtracting fractions, like then unlike denominators
  4. Decimal place valuetenths and hundredths, reading and comparing decimals
  5. Adding & subtracting decimalsadding and subtracting decimals lined up by place value
  6. Fractions and decimals togetherconverting between simple fractions and decimals
Level 6

Ratios, percentages & negative numbers

Grade 5
  1. Ratios & rateswriting and simplifying ratios, and unit rates
  2. Understanding percentagespercentage as parts per hundred, and converting to fractions and decimals
  3. Finding a percentage of a numbercalculating a percentage of an amount, including discounts
  4. Negative numbersordering and comparing negative numbers on a number line
  5. Adding & subtracting negativesadding and subtracting positive and negative integers
  6. Multi-step problemsmulti-step problems mixing ratios, percentages and integers
Level 7

Pre-algebra: expressions & simple equations

Grade 6
  1. Variables & expressionswriting an expression for a described situation using a variable
  2. Evaluating expressionssubstituting a value for a variable and computing the result
  3. Simplifying expressionscollecting like terms and using the distributive property
  4. One-step equationssolving one-step linear equations by inverse operations
  5. Two-step equationssolving two-step linear equations
  6. Turning words into equationstranslating a word problem into an equation and solving it
Level 8

Algebra I: linear equations & graphing

Grade 7
  1. Multi-step equationsequations with variables on both sides and brackets
  2. Coordinates & plottingplotting and reading points on the coordinate plane
  3. Slope & interceptfinding slope and y-intercept from a graph, table or equation
  4. Graphing linesgraphing a linear equation and matching equations to lines
  5. Inequalitiessolving and representing linear inequalities
  6. Systems of equationssolving two linear equations simultaneously
Level 9

Geometry & Algebra II: quadratics, functions

Grade 8
  1. Exponents & rootsexponent rules, square roots and scientific notation
  2. Factoringfactoring quadratic expressions and common factors
  3. Quadratic equationssolving quadratics by factoring and the quadratic formula
  4. Functionsfunction notation, domain and range, evaluating functions
  5. Geometry & Pythagorasangle rules, the Pythagorean theorem, area and volume
  6. Transformationstranslating, reflecting and scaling shapes and graphs
Level 10

Trigonometry & pre-calculus

Grade 9+
  1. Trigonometric ratiossine, cosine and tangent in right-angled triangles
  2. Solving trianglesfinding missing sides and angles, including sine and cosine rules
  3. The unit circleradians, the unit circle, and exact values
  4. Trigonometric graphsamplitude, period and phase shift of sine and cosine graphs
  5. Exponentials & logarithmsexponential growth, logarithms and their laws
  6. Sequences & limitsarithmetic and geometric sequences, and an intuitive idea of a limit

English · 50 skills

Level 1

Letter sounds & simple words

Kindergarten
  1. Letter soundsmatching a single letter to the sound it makes
  2. Blending soundsblending two or three sounds into a simple word
  3. Simple wordsreading and completing consonant-vowel-consonant words like cat, sun, big
  4. Rhyming wordsspotting words that rhyme and completing rhyming pairs
  5. First & last soundsidentifying the first and last sound in a spoken word
Level 2

Sight words & simple sentences

Grade 1
  1. Sight wordscommon high-frequency words recognised on sight: the, said, was, they
  2. Letter pairssounds made by pairs such as sh, ch, th, ck
  3. Simple sentencescompleting and ordering short sentences that make sense
  4. Capitals & full stopssentences start with a capital letter and end with a full stop
  5. Understanding a sentenceanswering a simple question about one short sentence
Level 3

Basic grammar: nouns & verbs, short reading

Grade 2
  1. Nounsidentifying nouns as naming words, including proper nouns
  2. Verbsidentifying verbs as action words in a sentence
  3. Adjectivesidentifying describing words and choosing the best one
  4. Matching subject and verbchoosing the verb form that agrees with the subject
  5. Short readinganswering direct questions about a two or three sentence passage
Level 4

Punctuation, plurals & everyday vocabulary

Grade 3
  1. Pluralsregular and common irregular plurals
  2. Punctuationcommas in lists, question marks and exclamation marks
  3. Apostrophesapostrophes for contractions and simple possession
  4. Everyday vocabularychoosing the right everyday word for a context
  5. Order of eventsputting events from a short passage in the right order
Level 5

Parts of speech & reading comprehension

Grade 4
  1. Parts of speechdistinguishing nouns, verbs, adjectives and adverbs
  2. Pronounschoosing correct pronouns and identifying what they refer to
  3. Verb tensespast, present and future tense consistency
  4. Main ideaidentifying the main idea of a short passage
  5. Supporting detailsfinding details that support the main idea
Level 6

Synonyms, antonyms & sentence structure

Grade 5
  1. Synonymschoosing words with similar meaning and the best fit for a sentence
  2. Antonymsidentifying opposites and using them precisely
  3. Clauses & sentence typessimple, compound and complex sentences
  4. Joining sentencesconjunctions that join ideas and show relationship
  5. Words in contextworking out an unfamiliar word's meaning from the sentence around it
Level 7

Grammar mechanics & inference

Grade 6
  1. Grammar mechanicscommas, semicolons and common grammatical errors
  2. Modifiersmisplaced and dangling modifiers, and precise placement
  3. Inferenceconclusions the passage implies but does not state
  4. Author's purposewhy the author wrote the passage and how tone reveals it
  5. Summarisingchoosing the best summary of a passage
Level 8

Advanced vocabulary & literary devices

Grade 7
  1. Advanced vocabularyprecise academic vocabulary in context
  2. Word roots & affixesusing prefixes, suffixes and roots to unlock meaning
  3. Figurative languagemetaphor, simile, personification and hyperbole
  4. Literary devicesimagery, symbolism, irony and foreshadowing
  5. Tone & mooddistinguishing the author's tone from the mood created
Level 9

Rhetoric & complex comprehension

Grade 8
  1. Argument & claimidentifying a claim and the evidence offered for it
  2. Rhetorical devicesethos, pathos, logos and rhetorical questions
  3. Faulty reasoningspotting common logical fallacies in an argument
  4. Comparing textscomparing viewpoint and technique across two passages
  5. Complex comprehensiondense passages with layered or implied meaning
Level 10

Advanced composition & critical analysis

Grade 9+
  1. Thesis & structureevaluating a thesis statement and essay structure
  2. Using evidenceintegrating and citing evidence to support analysis
  3. Style & registermatching style, register and diction to audience and purpose
  4. Critical analysisanalysing how a writer's choices create effect and meaning
  5. Synthesisdrawing a reasoned position from several sources

Find out which of these your child is ready for

A ten-minute placement test, then worksheets that adapt as they improve — each one taught first and reviewed by a patient tutor that explains every answer. Free while we’re in early access.

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