TOAFL (Nigeria) 3-Month Plan

English sounds (vowels and consonants), word stress patterns, sentence stress, intonation, and the International Phonetic Alphabet for accurate pronunciation.

Identification and correct use of nouns, pronouns, verbs, adjectives, adverbs, prepositions, conjunctions, and articles in context.

Process approach to writing (planning, drafting, revising), types of essays (expository, narrative, descriptive, argumentative), coherence, and cohesion.

Techniques for identifying main ideas, summarizing passages concisely, inferring meaning from context, and answering comprehension questions accurately.

Elements of poetry (imagery, metaphor, rhyme, rhythm, tone), analysis of Nigerian and international poems, and literary device identification.

Elements of the novel and drama (plot, characterisation, theme, conflict), analysis of selected Nigerian and African literary texts.

Word formation (prefixes, suffixes, root words), synonyms and antonyms, contextual meaning, collocations, and expanding active vocabulary for academic writing.

Common figurative expressions (simile, metaphor, personification, hyperbole), idioms, proverbs, and their appropriate use in writing and speech.

Operations with fractions and decimals, conversion between forms, and percentage calculations including percentage increase, decrease, and error.

Writing and simplifying ratios, direct and inverse proportions, sharing in given ratios, and applying ratios to business and economic problems.

Simplification of algebraic expressions, indices and logarithms, solving linear and quadratic equations, and manipulating algebraic fractions.

Properties of angles formed by parallel lines and transversals, triangle theorems, congruence, similarity, and Pythagorean theorem applications.

Circle geometry including angle properties, chord theorems, arcs, sectors, and application of tangent and secant theorems in problem solving.

Collection, classification, and presentation of data using tables, bar charts, histograms, and frequency polygons; measures of location.

Mean, median, and mode for ungrouped and grouped data; advantages and disadvantages of each measure; and the empirical relationship between mean, median, and mode.

Definition of probability, addition and multiplication rules, mutually exclusive and independent events, and tree diagrams for sequential probability problems.

Breaking down complex arguments into premises and conclusions, identifying assumptions, evaluating logical strength, and detecting flaws in reasoning.

Solving family relationship puzzles using logical deduction, understanding relative terms (brother, sister, cousin, uncle), and mapping family trees from verbal descriptions.

Interpreting directions (North, South, East, West), turning movements, shadow-based direction problems, and finding shortest distance using Pythagorean theorem.

Identifying patterns in letter and number codes, applying substitution rules to encode and decode words, and spotting positional patterns in sequences.

Identifying patterns in number and letter series (arithmetic, geometric, alternating), finding the next term, and completing incomplete series.

Linear and circular seating arrangement problems, determining relative positions, and using directional cues to establish seating order from verbal descriptions.

Solving complex puzzles involving comparisons, rankings, and conditions using logical elimination, grid-based deduction, and systematic trial and error.

Deductive reasoning with two premises leading to a conclusion, using Venn diagrams and logical rules to test the validity of categorical syllogisms.