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Reception

Sharpen your skills with 70+, Year 12 Math lessons on Learndigo! Hover to start strengthening your skills and understanding.

Equations

  • Learn - Equations
  • 1.1 - Evaluate linear equations
  • 1.2 - Evaluate linear equations: word problems
  • 1.3 - Evaluate absolute value equations
  • 1.4 - Find the value of the slop
  • 1.5 - Linear equation word problems

Inequalities

  • Learn - Inequalities
  • 2.1 - Inequalities from graphs
  • 2.2 - Linear inequality: word problems
  • 2.3 - Linear inequalities
  • 2.4 - Absolute value inequalities
  • 2.5 - Quadratic functions
  • 2.6 - Inequalities practical problems
  • 2.7 - Review on Inequalities

Functions

  • Learn - Function and graph
  • 3.1 - Identifying functions
  • 3.2 - Evaluating functions
  • 3.3 - Find values using function graphs
  • 3.4 - Complete a table for a function graph

Simultaneous equations

  • Learn - Simultaneous equations and non-linear
  • 4.1 - Is (x, y) a solution to the simultaneous equations?
  • 4.2 - Solving non-linear simultaneous equations

Factorizing

  • Learn - Factorize of monomial and polynomials
  • 5.1 - Factorizing out a monomial
  • 5.2 - Factorizing polynomials
  • 5.3 - Evaluating polynomials

Polynomials

  • Learn - Polynomial
  • 6.1 - Polynomial vocabulary
  • 6.2 - Add and subtract polynomials
  • 6.3 - Multiply polynomials
  • 6.4 - Write a polynomial from its roots
  • 6.5 - Find the roots of factorized polynomials

Radical functions and expressions

  • Learn - Roots of integers and radical expression
  • 7.1 - Roots of integers
  • 7.2 - Find roots using a calculator
  • 7.3 - Nth roots
  • 7.4 - Simplify radical expressions with variables
  • 7.5 - Solve radical equations
  • 7.6 - Add and subtract radical expressions
  • 7.7 - Simplify radical expressions using the distributive property

Sequences and series

  • Learn - Recursive and geometric sequence
  • 8.1 - Find terms of a geometric sequence
  • 8.2 - Partial sums of geometric series
  • 8.3 - Find terms of a recursive sequence

Probability

  • Learn - Probability
  • 9.1 - Introduction to probability
  • 9.2 - Theoretical and experimental probability
  • 9.3 - Calculate probabilities of events
  • 9.4 - Permutations
  • 9.5 - Counting principle
  • 9.6 - Probability questions review
  • 9.7 - Correct or incorrect three digits

Statistics

  • Learn - Mean, mode, range and median
  • 10.1 - Mean, median, mode and range
  • 10.2 - Mean absolute deviation
  • 10.3 - Mean, median and mode review

Introduction to derivatives

  • Learn - Average rate of change
  • 11.1 - Average rate of change I
  • 11.2 - Average rate of change II
  • 11.3 - Velocity as a rate of change

Exponential functions

  • Learn - Exponential function
  • 12.1 - Evaluate exponential functions
  • 12.2 - Solve exponential equations by factorizing
  • 12.3 - Solve exponential equations using common logarithms.
  • 12.4 - Exponential growth and decay: word problems.

Parabolas

  • Learn - Parabola
  • 13.1 - Identify the direction of parabola
  • 13.2 - Find the vertex of a parabola
  • 13.3 - Find the axis of symmetry of a parabola
  • 13.4 - Find properties of a parabola from equations in general form
  • 13.5 - Word problems
  • 13.6 - Parabola advance level

Function operations

  • Learn - Function
  • 14.1 - Add and subtract functions
  • 14.2 - Multiply functions
  • 14.3 - Divide functions
  • 14.4 - Composition of linear functions: find a value
  • 14.5 - Composition of linear functions: find an equation
  • 14.6 - Composition of linear and quadratic functions: find a value

Logarithms

  • Learn - Logarithm
  • 15.1 - Convert between exponential and logarithmic form: rational bases
  • 15.2 - Evaluate logarithms
  • 15.3 - Product property of logarithms
  • 15.4 - Power property of logarithms
  • 15.5 - Quotient property of logarithms
  • 15.6 - Properties of logarithms: mixed review
  • 15.7 - Evaluate logarithms: mixed review

Trigonometry

  • Learn - Inverse trigonometric functions
  • 16.1 - Inverses of sin, cos and tan
  • 16.2 - Inverses of csc, sec and cot
  • 16.3 - Find trigonometric functions using a calculator
  • 16.4 - Solve a triangle
  • 16.5 - Trigonometric ratios: sin, cos and tan
  • 16.6 - Trigonometric ratios: csc, sec and cot

Trigonometric functions and identities

  • Learn - Trigonometric functions
  • 17.1 - Find properties of sine functions
  • 17.2 - Find properties of cosine functions
  • 17.3 - Complementary angle identities
  • 17.4 - Symmetry and periodicity of trigonometric functions
  • 17.5 - Trigonometric problems
  • 17.6 - Half, double, quotient identities

Circles

  • Learn - Central and inscribed angle
  • 18.1 - Central angles
  • 18.2 - Inscribed angles
  • 18.3 - Angles in inscribed quadrilaterals
  • 18.4 - Angles in inscribed right triangles
  • 18.5 - Find the center of a circle
  • 18.6 - Find the radius or diameter of a circle
  • 18.7 - Convert equations of circles from general to standard form
  • 18.8 - Find properties of circles from equations in general form
  • Learn - Area sector of a circle
  • 18.9 - Area of a circular sector
  • 18.10 - Circumference and diameter of circle

Continuity

  • Learn - Continuity
  • 19.1 - Identify graphs of continuous functions
  • 19.2 - Determine continuity using graphs
  • 19.3 - Determine continuity on an interval using graphs
  • 19.4 - Find and analyses points of discontinuity using graphs
  • 19.5 - Determine one-sided continuity using graphs
  • 19.6 - Continuous function

Linear functions and domain

  • Learn - Linear functions and domain
  • 20.1 - Finding the gradient of a linear function
  • 20.2 - Write linear equations in point-gradient form
  • 20.3 - Write linear equations in standard form
  • 20.4 - Domain and range

Types of simultaneous equations

  • Learn - Types of simultaneous equations
  • 21.1 - Evaluating simultaneous equations using substitution: word problems
  • 21.2 - Evaluating simultaneous equations using elimination
  • 21.3 - Evaluating simultaneous equations using any method
  • 21.4 - Evaluating simultaneous equations using substitution
  • 21.5 - Word problems

Factorization of quadratic equations

  • Learn - Factorization of quadratic equations
  • 22.1 - Factorizing quadratics
  • 22.2 - Factories using a quadratic pattern
  • 22.3 - Factorizing by grouping
  • 22.4 - Factorizing sums and differences of cubes
  • 22.5 - Find the missing values

Fundamental theorem of algebra and Descartes's rule of signs

  • Learn - Fundamental theorem of algebra and Descartes’ rule of sings
  • 23.1 - Fundamental theorem of algebra
  • 23.2 - Descartes' rule of signs

Arithmetic sequence

  • Learn - Arithmetic sequence
  • 24.1 - Find terms of an arithmetic sequence
  • 24.2 - Evaluate formulas for sequences
  • 24.3 - Write a formula for an arithmetic sequence
  • 24.5 - Introduction to partial sums
  • 24.6 - Partial sums of arithmetic series

Factorials

  • Learn - Factorials
  • 25.1 - Factorials

Quartiles

  • Learn - Quartiles
  • 26.1 - Quartiles
  • 26.2 - Identify biased samples
  • 26.3 - Variance and standard deviation
  • 26.4 - Quartiles practice questions

Power rule

  • Learn - Power rule
  • 27.1 - Solving power rule
  • 27.2 - Power rule I
  • 27.3 - Power rule II

Polynomials

  • Learn - Polynomial
  • 28.1 - Find derivatives of polynomials
  • 28.2 - Find second derivatives of polynomials
  • 28.3 - Substitution and elimination method

Logarithmic functions

  • Learn - Logarithmic functions
  • 29.1 - Solve logarithmic equations I
  • 29.2 - Solve logarithmic equations II
  • 29.3 - Advance logarithm questions
  • 29.4 - Laws of logarithm

Inverse

  • Learn - Inverse
  • 30.1 - Identify inverse functions
  • 30.2 - Inverse and composition functions

Pythagoras' theorem

  • Learn - Pythagoras' theorem
  • 31.1 - Pythagoras' theorem and its converse
  • 31.2 - Pythagoras' theorem problems
Master more than 130,Year 12 English concepts with Learndigo! Hover to preview, then click to start practising and enhancing your knowledge.

Sentence

  • Learn - Formation of sentences
  • 1.1 - Sentence, fragments and run-on sentences
  • 1.2 - To avoid fragments and run-ons, use punctuation
  • 1.3 - Types of sentences

Pronouns

  • Learn - Identification of Pronouns
  • 2.1 - Subject and object pronouns
  • 2.2 - Pronouns following "than and as"
  • 2.3 - Antecedent pronouns
  • 2.4 - Pronoun reference
  • 2.5 - Relative pronouns
  • 2.6 - Use relative pronouns: who, whom, whose, which and that

Verbs and their types

  • Learn - Verbs, predicate adjectives, and nouns
  • 3.1 - Transitive and intransitive verbs
  • 3.2 - Linking verbs, predicate adjectives and predicate nouns
  • Learn - Types of verb and phrases
  • 3.3 - Progressive tense
  • 3.4 - Create perfect verb tenses
  • 3.5 - Infinitive phrases

Adjectives

  • Learn - Adjectives
  • 4.1 - Comparative and superlative adjectives
  • 4.2 - Good, better, best, bad, worse and worst
  • 4.3 - Adjective order

Punctuation

  • Learn - Punctuation
  • 5.1 - Commas in direct address
  • 5.2 - Parentheses, quotation and question marks

Analogy

  • Learn - Analogy and sentences
  • 6.1 - Analogies
  • 6.2 - Analogy bridges
  • 6.3 - Sentence

Etymologies

  • Learn - Etymology
  • 7.1 - Etymology
  • 7.2 - Greek roots
  • 7.3 - Latin roots
  • 7.4 - Meaning of words with Greek and Latin roots
  • 7.5 - Greek and Latin roots
  • 7.6 - Use words as clues to the meanings of Greek and Latin roots

Word usage

  • Learn - Usage of dictionary and literary devices
  • 8.1 - Denotation and connotation
  • 8.2 - Using a dictionary/thesaurus
  • 8.3 - Accurately and precisely

Context clues

  • Learn - Synonyms, antonyms, and context clues
  • 9.1 - Synonyms in context
  • 9.2 - Antonyms in context
  • 9.3 - Vocabulary in sentence
  • 9.4 - Vocabulary in context

Writing clear and concise sentences

  • Learn - Writing clearly and concisely
  • 10.1 - Conjunctive adverbs
  • 10.2 - Correlative conjunctions
  • 10.3 - Transitions
  • 10.4 - Concise sentence

Common errors

  • Learn - Correction of common errors
  • 11.1 - Homophones
  • 11.2 - Frequently confused words I
  • 11.3 - Frequently confused words II
  • 11.4 - Common vocabulary
  • 11.5 - Commonly misspelled words
  • 11.6 - Pair of words

Writing process

  • Learn - Writing process
  • 12.1 - Genre
  • 12.2 - Writing process (nouns and pronouns)
  • 12.3 - Main idea
  • 12.4 - Plagiarism
  • 12.5 - Sort topics in priority order
  • 12.6 - Capitalization

Writing arguments

  • Learn - Writing arguments
  • 13.1 - Supporting evidence
  • 13.2 - Counterclaims
  • 13.3 - Claims & evidence
  • 13.4 - Logically connects the evidence to the claim
  • 13.5 - Differentiate facts from opinions
  • 13.6 - Transition sentences

Author's purpose and tone

  • Learn - Author's tone
  • 14.1 - Formal text
  • 14.2 - Tone
  • 14.3 - Audience
  • 14.4 - Subjective and objective tone

Literary devices

  • Learn - Literary devices
  • 15.1 - Narrative point of view
  • 15.2 - Allusion I
  • 15.3 - Allusion II

Phrases and clauses

  • Learn - Phrases and clauses
  • 16.1 - Phrase or clause
  • 16.2 - Prepositional phrases
  • 16.3 - Appositives and appositive phrases
  • Learn - Formation of clauses
  • 16.4 - Dependent and independent clauses
  • 16.5 - Relative clauses
  • 16.6 - Use relative clauses to join sentences

Verb tenses

  • Learn - Verb tenses
  • 17.1 - Perfect verb tense
  • 17.2 - Create progressive verb tense
  • 17.3 - Recognize and correct verb tense changes

Subject-verb agreement

  • Learn - Subject-verb agreement
  • 18.1 - Recognize and correct errors in subject-verb agreement
  • 18.2 - Verb agreement with compound subjects
  • 18.3 - Inappropriate shifts in verb tense
  • 18.4 - Indefinite pronoun-verb agreement

Active and passive voice

  • Learn - Active and passive voice
  • 19.1 - Passive voice
  • 19.2 - Active voice

Adverbs

  • Learn - Adverbs
  • 20.1 - Comparative and superlative adverbs
  • 20.2 - Well, better, best, badly, worse and worst
  • 20.3 - Adverbial forms

Interjection

  • Learn - Interjection
  • 21.1 - Interjection
  • 21.2 - Interjection types

Introductory elements and absolute phrase

  • Learn - Introductory elements and absolute phrase
  • 22.1 - Introductory elements
  • 22.2 - Absolute phrase

Affixation

  • Learn - Affixation
  • 23.1 - Affixation: review
  • 23.2 - Prefixes
  • 23.3 – Suffixes

Foreign expressions

  • Learn - Foreign expression
  • 24.1 - Foreign policy
  • 24.2 - Meaning of foreign expressions
  • 24.3 - Use context as a clue to the meanings of foreign expressions

Analogies and homophones

  • Learn - Analogies and homophones
  • 25.1 - Analogies
  • 25.2 - Analogies: challenge
  • 25.3 - Homophones I
  • 25.4 - Homophones II
  • 25.5 - Distinction between related words

Comparisons and modifiers

  • Learn - Comparisons and modifiers
  • 26.1 - Double comparison
  • 26.2 - Unclear comparisons
  • 26.3 - Misplaced modifiers
  • 26.4 - Dangling modifiers

Ethos, logos, and pathos

  • Learn - Ethos, logos, and pathos
  • 27.1 - Ethos, logos, pathos

Figure of speech

  • Learn - Figure of speech
  • 28.1 - Figure of speech

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