Reception
Unlock 160+ Year 13 Math topics on Learndigo! Hover over a concept for a preview, then click to begin mastering advanced skills.
Functions
- Learn - Functions
- 1.1 - Write the equation of a linear function
- 1.2 - Evaluate functions
- 1.3 - Add, subtract, multiply and divide functions
- 1.4 - Composition of functions ffff f
Families of functions
- Learn - Family of functions
- 2.1 - Reflections of functions
- 2.2 - Dilations of functions
- 2.3 - Transformations of functions
- 2.4 - Function transformation rules
- 2.5 - Translations of functions
- 2.6 - Functions questions
Polynomials
- Learn - Polynomials
- 3.1 - Write a polynomial from its roots
- 3.2 - Find the roots of factorised polynomials
- 3.3 - Conjugate root theorems
- 3.4 - Fundamental theorem of algebra
- 3.5 - Factorise using a quadratic pattern
- 3.6 - Complex conjugate theorem
- 3.7 - Factoring quadractic polynomials cases
Exponential and logarithmic functions
- Learn - Logarithm
- 4.1 - Convert between exponential and logarithmic form
- 4.2 - Evaluate logarithms
- 4.3 - Product property of logarithms
- 4.4 - Quotient property of logarithms
- 4.5 - Power property of logarithms
- 4.6 - Evaluate logarithms using properties
- 4.7 - Solve logarithmic equations with one logarithm
- 4.8 - Exponential growth and decay: word problems
- 4.9 - Exercise on logarithms
- 4.10 - Logarithmic equations
Radical functions
- Learn - Radical equation
- 5.1 - Solve radical equations
Roots and rational exponents
- Learn - Square roots
- 6.1 - Roots of integers
- 6.2 - Roots of rational numbers
- 6.3 - Find roots using a calculator
- 6.4 - Evaluate rational exponents
- 6.5 - Nth roots
- 6.6 - Simplify radical expressions with variables
Trigonometric functions and identities
- Learn - Complementary angles and trigonometric Identities
- 7.1 - Complementary angle identities
Sequences
- Learn - Sequence, recursive and explicit
- 8.1 - Find terms of a sequence
- 8.2 - Identify a sequence as explicit or recursive
- 8.3 - Find terms of a recursive sequence
Probability
- Learn - Sample space and probabilities
- 9.1 - Introduction to probability
- 9.2 - Calculate probabilities of events
Probability distributions
- Probability distributions
- 10.1 - Identify discrete and continuous random variables
Biased sample
- Learn - Biased sample
- 11.1 - Identify biased samples
Introduction to derivatives
- Learn - Average rate of change
- 12.1 - Average rate of change I
- 12.2 - Average rate of change II
- 12.3 - Velocity as a rate of change
Derivative rules
- Learn - Sum and difference rule
- 13.1 - Sum and difference rules
- Learn - Product rule
- 13.2 - Product rule
- Learn - Power rule
- 13.3 - Power rule I
- Learn - Inverse function
- 13.4 - Inverse function rule
- 13.5 - Power rule II
- 13.6 - Power rule problems
Derivative strategies
- Learn - Implicit and explicit
- 14.1 - Find derivatives using implicit differentiation
- 14.2 - Find tangent lines using implicit differentiation
Calculate derivatives
- Learn - Derivation of polynomial
- 15.1 - Find derivatives of polynomials
- Learn - Derivation of trigonometry
- 15.2 - Find derivatives of trigonometric functions I
- 15.3 - Find derivatives of trigonometric functions II
- Learn - Derivation of exponential function
- 15.4 - Find derivatives of exponential functions
- Learn - Derivation of logarithmic functions
- 15.5 - Find derivatives of logarithmic functions
- 15.6 - Find derivatives using the product rule
- Learn - Derivation using product rule
- 15.7 - Find derivatives using the chain rule
- Learn - Trigonometry
- 15.8 - Fundamental and pythagorean identities
Rational functions
- 16.1 - Rational functions: asymptotes and excluded values
- Learn - Rational equation
- 16.2 - Solve rational equations
- Learn - Rationalizing the denominator
- 16.3 - Rationalizing the denominator
- 16.4 - Difference rule
Calculate higher derivatives
- Learn - Second derivation
- 17.1 - Find higher derivatives of polynomials
- 17.2 - Find higher derivatives of rational and radical functions
- 17.3 - Find second derivatives of trigonometric, exponential and logarithmic functions
- 17.4 - Find higher derivatives using patterns
- 17.5 - Multiplication and divison of polynomials
Quadratic functions
- Learn - Quadratic equation
- 18.1 - Solve a quadratic equation using square roots
- 18.2 - Solve a quadratic equation by factorizing
- 18.3 - Solve a quadratic equation by completing the square
- 18.4 - Solve a quadratic equation using the quadratic formula
- Learn - Quadratic inequalities
- 18.5 - Quadratic inequalities
Prism
- Learn - Prism
- 19.1 - Volume and area of prism
Inverse functions
- Learn - Inverse functions
- 20.1 - Identify inverse functions
- 20.2 - Find values using function graphs
- 20.3 - Complete a table for a function graph
- 20.4 - Find values of inverse functions from graphs
- 20.5 - Composition and inverse of functions
Domain and range
- Learn - Domain and range
- 21.1 - Domain and range of radical functions
Linear equations
- Learn - Linear equation
- 22.1 - Linear equations
- Learn - Method to solve linear equations
- 22.2 - System of equations
Descartes' rule of signs
- Learn - Descartes' rule of signs
- 23.1 - Descartes' rule of signs
Logarithm law
- Learn - Logarithm law
- 24.1 -
- 24.2 -
- 24.3 -
Division and rationalization of fraction
- Learn - Division and rationalization of fraction
- 25.1 - Fractions of division
- 25.2 - Rationalizing the denominator
Sinusoidal functions
- Learn - Amplitude of sinusoidal functions
- 26.1 - Symmetry and periodicity of trigonometric functions
- 26.2 - Find properties of sine functions
- 26.3 - Find properties of cosine functions
- 26.4 - Find trigonometric functions using a calculator
Double and half identities
- Learn - Double and half identities
- 27.1 - Half and double identities
Partial sums
- Learn - Partial sum of series
- 28.1 - Introduction to partial sums
- 28.2 - Partial sums of arithmetic series
- 28.3 - Partial sums of geometric series
- 28.4 - Partial sums: mixed review
Combinations and permutations
- Learn - Combinations and permutations
- 29.1 - Combinations and permutations
- 29.2 - Find probabilities using combinations and permutations
Addition for probability
- Learn - Addition for probability
- 30.1 - Independence and conditional probability
- 30.2 - Find probabilities using the addition rule
- 30.3 - Probabilities of sum and difference rule
Power rule and derivation
- Learn - Power rule and derivation
- 31.1 - Power rule variables
- Learn - Derivation by limit
- 31.2 - Derevatives using limits
Variance and standard deviation
- Learn - Variance and standard deviation
- 32.1 - Variance and standard deviation
Outlier
- Learn - Outlier
- 33.1 - Identify an outlier
- 33.2 - Identify an outlier and describe the effect of removing it
Correlation coefficient
- Learn - Correlation coefficient
- 34.1 - Calculate correlation coefficients
Regression
- Learn - Regression
- 35.1 - Find the equation of a regression line
- 35.2 - Interpret regression lines
- 35.3 - Analyze a regression line of a data set
Remainder theorem
- Learn - Remainder theorem
- 36.1 - Remainder theorem
Trigonometry
- Learn - Trigonometry
- 37.1 - Fundamental and pythagorean identities
Discriminant formula
- Learn - Discriminant formula
- 38.1 - Using the discriminant
Pyramid
- Learn - Pyramid
- 39.1 - Area and volume of pyramid
Explore over 120, Year 13 English topics with Learndigo! Hover over each concept to preview, then click to begin mastering advanced lessons.
Sentence
- Learn - Sentences
- 1.1 - Recognize sentence fragments
- 1.2 - Recognize run-on sentences
- 1.3 - Recognize type of sentence
- 1.4 - To avoid fragments and run-ons, use punctuation
Pronouns
- Learn - Relative pronouns
- 2.1 - Put relative pronouns to use: who and whom
- 2.2 - Relative pronouns
- Learn - Subject and object pronoun
- 2.3 - Review of subject and object pronouns
- 2.4 - Find and fix subject- and object-pronoun mistakes
- Learn - Vague pronoun reference and antecedent
- 2.5 - Recognize vague pronoun references
- 2.6 - Determine every possible antecedent
- 2.7 - Correct inappropriate pronoun shifts
Verbs
- Learn - Verbs
- 3.1 - Create progressive verb tenses
- 3.2 - Create perfect verb tenses
- 3.3 - Recognize transitive and intransitive verbs
Adjectives and adverbs
- Learn - Adjectives and adverbs
- 4.1 - Form and use comparative and superlative adjectives
- 4.2 - Good, better, best, bad, worse and worst
- 4.3 - Form and use comparative and superlative adverbs
- 4.4 - Well, better, best, badly, worse and worst
- 4.5 - Adjective vs adverb I
- 4.6 - Adjective vs adverb II
Prefixes and suffixes
- Learn - Analogy and affixation
- 5.1 - Word pattern analogies
- 5.2 - Word pattern sentences
- 5.3 - Prefixes
- 5.4 - Suffixes
- 5.5 - Prefix vs suffix
Foreign expressions
- Learn - Foreign expression and context Clues
- 6.1 - Use the correct foreign expression
- 6.2 - Use context as a clue to the meanings of foreign expressions
Word choice and usage
- Learn - Usage of word
- 7.1 - Distinction between related words
- 7.2 - Use words accurately and precisely
- 7.3 - Replace words using a thesaurus
- 7.4 - Use dictionary entries to determine correct usage
Context clues
- Learn - Context clues
- 8.1 - Determine the meaning of words using synonyms in context
- 8.2 - Determine the meaning of words using antonyms in context
- 8.3 - Domain-specific vocabulary in context: science and technical subjects
- 8.4 - Use context to determine a word's meaning
- 8.5 - Use sentences to determine a word's meaning
Modifiers and parallel structures
- Learn - Modifiers and parallel structures
- 9.1 - Are the modifiers used correctly?
- 9.2 - Dangling modifier
- 9.3 - Use parallel structure
- 9.4 - Misplaced modifiers with pictures
- 9.5 - Identify sentences with parallel structure
Homophones and common errors
- Learn - Homophones and how to avoid common errors
- 10.1 - Use the correct homophone
- 10.2 - Identify and correct errors with homophone
- 10.3 - Use the correct frequently confused word
- 10.4 - Identify and correct errors with frequently confused words
- 10.5 - Identify and correct errors with frequently confused pronouns and contractions
- 10.6 - Correct errors with commonly misspelled words
- 10.7 - Misspelled words
- 10.8 - Misspelled phrases
Writing process
- Learn - Writing process
- 11.1 - Order topics from broadest to narrowest
- 11.2 - Choose the topic sentence that best captures the main idea
- 11.3 - Identify plagiarism
- 11.4 - Suggest appropriate revisions
Writing arguements
- Learn - How to avoid writing arguments
- 12.1 - Distinguish facts from opinions
- 12.2 - Choose evidence to support a claim
- 12.3 - Choose the most appropriate counterclaim for a given claim
- 12.4 - Choose the analysis that logically connects the evidence to the claim
- 12.5 - Identify supporting evidence in a text
- 12.6 - Stronger and weaker evidence to support a claim
Author's purpose and tone
- Learn - Formal text and tone
- 13.1 - Which text is most formal?
- 13.2 - Subjective and objective tone
Allusion and narrative point of view
- Learn - Allusion and narrative point of view
- 14.1 - Interpret the meaning of an allusion from its source
- 14.2 - Recall the source of an allusion
- 14.3 - Identify the narrative point of view
Literature and informational text analysis
- Learn - Analysis
- 15.1 - Short stories
- 15.2 - Poetry
- 15.3 - Non-fiction passages
- 15.4 - Main ideas or themes
- 15.5 - Topic sentence
Tenses
- Learn - Tenses
- 16.1 - Create progressive verb tense
- 16.2 - Create perfect verb tenses
Phrases and clauses
- Learn - Phrases and clauses
- 17.1 - Phrase or clause?
- 17.2 - Use relative clauses to join sentences
- 17.3 - Recognize prepositional phrase
Verbals
- Learn - Verbal
- 18.1 - Recognize gerunds
- 18.2 – Participles
Etymology
- Learn - Etymology
- 19.1 - Use etymologies to determine the meanings of words
- 19.2 - Determine the meanings of words with Greek and Latin roots
- 19.3 - Determine the meanings of Greek and Latin roots
- 19.4 - Use Greek and Latin roots as clues to the meanings of words
- 19.5 - Sort words by sharing Greek or Latin roots
Connotation, denotation, and analogy
- Learn - Connotation, denotation, and analogy
- 20.1 - Connotation
- 20.2 - Denotation
- 20.3 - Connotation and denotation
- 20.4 - Analogies
- 20.5 - Analogies: challenge
Writing concisely
- Learn - Writing concisely
- 21.1 - Avoid double, illogical and unclear comparisons
- 21.2 - Transitions with conjunctive adverbs
- 21.3 - Redundant words or phrases
Ethos, pathos, and logos
- Learn - Ethos, logos, and pathos
- 22.1 - Identify audience and purpose
- 22.2 - Use appeals to ethos, pathos and logos in persuasive writing
- 22.3 - Identify appeals to ethos, pathos and logos in advertisements
Literary devices
- Learn - Figure of speech
- 23.1 - Interpret the figure of speech
- 23.2 - Classify the figure of speech: euphemism, hyperbole, oxymoron, paradox
- 23.3 - Classify the figure of speech: anaphora, antithesis, apostrophe, assonance, chiasmus, understatement
- 23.4 - Classify the figure of speech: review
