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Numbers
A.1Number lines
A.2Convert between decimals and fractions
A.3Identify rational and irrational numbers
A.4Compare and order rational numbers
A.5Prime factorisation
A.6Square roots
A.7Cube roots
Operations
B.1Add, subtract, multiply and divide integers
B.2Evaluate numerical expressions involving integers
B.3Evaluate variable expressions involving integers
B.4Add and subtract rational numbers
B.5Multiply and divide rational numbers
B.6Evaluate numerical expressions involving rational numbers
B.7Evaluate variable expressions involving rational numbers
Consumer maths
C.1Simple interest
C.2Compound interest
C.3Percent of a number: VAT, discount and more
C.4Find the percent: discount and mark-up
C.5Multi-step problems with percents
Linear equations
D.1Identify linear equations
D.2Find the slope of a graph
D.3Find the slope from two points
D.4Find a missing coordinate using slope
D.5Slope-intercept form: find the slope and y-intercept
D.6Slope-intercept form: graph an equation
D.7Slope-intercept form: write an equation from a graph
D.8Slope-intercept form: write an equation
D.9Slope-intercept form: write an equation from a table
D.10Slope-intercept form: write an equation from a word problem
D.11Write linear equations to solve word problems
D.12Compare linear equations, graphs and tables
D.13Write equations in standard form
D.14Standard form: find x- and y-intercepts
D.15Standard form: graph an equation
D.16Equations of horizontal and vertical lines
D.17Graph a horizontal or vertical line
D.18Slopes of parallel and perpendicular lines
D.19Write an equation for a parallel or perpendicular line
D.20Find the distance between a point and a line
D.21Find the distance between two parallel lines
Pairs of linear equations
E.1Is (x, y) a solution to the pair of equations?
E.2Solve a pair of equations by graphing
E.3Solve a pair of equations by graphing: word problems
E.4Find the number of solutions to a pair of equations by graphing
E.5Find the number of solutions to a pair of equations
E.6Solve a pair of equations using substitution
E.7Solve a pair of equations using substitution: word problems
E.8Solve a pair of equations using elimination
E.9Solve a pair of equations using elimination: word problems
Matrices
F.1Matrix vocabulary
F.2Matrix operation rules
F.3Add and subtract matrices
F.4Multiply a matrix by a scalar
F.5Multiply two matrices
Arithmetic sequences
G.1Arithmetic sequences
G.2Evaluate variable expressions for arithmetic sequences
G.3Write variable expressions for arithmetic sequences
G.4Partial sums of arithmetic series
Polynomials
H.1Polynomial vocabulary
H.2Model polynomials with algebra tiles
H.3Add and subtract polynomials using algebra tiles
H.4Add and subtract polynomials
H.5Add polynomials to find perimeter
H.6Multiply and divide monomials
H.7Powers of monomials
H.8Multiply a polynomial by a monomial
H.9Multiply two polynomials using algebra tiles
H.10Multiply two binomials
H.11Multiply two binomials: special cases
H.12Multiply polynomials
Factorising
I.1HCF of monomials
I.2Factorise out a monomial
I.3Factorise quadratics with leading coefficient 1
I.4Factorise quadratics with other leading coefficients
I.5Factorise quadratics: special cases
I.6Factorise quadratics using algebra tiles
I.7Factorise by grouping
I.8Factorise polynomials
Quadratic equations
J.1Characteristics of quadratic equations
J.2Complete a table: quadratic equations
J.3Solve a quadratic equation using square roots
J.4Solve a quadratic equation using the zero product property
J.5Solve a quadratic equation by factorising
J.6Complete the square
J.7Solve a quadratic equation by completing the square
J.8Solve a quadratic equation using the quadratic formula
J.9Using the discriminant
J.10Graph a quadratic equation
J.11Match quadratic functions and graphs
Rational expressions
K.1Simplify complex fractions
K.2Simplify rational expressions
K.3Multiply and divide rational expressions
K.4Divide polynomials
K.5Add and subtract rational expressions
K.6Solve rational equations
Points, lines and segments
L.1Lines, line segments and half lines
L.2Lengths of segments on number lines
L.3Additive property of length
L.4Midpoints
L.5Congruent line segments
L.6Perpendicular Bisector Theorem
L.7Midpoint formula
L.8Distance formula
Two-dimensional figures
M.1Polygon vocabulary
M.2Perimeter
M.3Area of triangles and quadrilaterals
M.4Area and perimeter in the coordinate plane I
M.5Area and perimeter in the coordinate plane II
M.6Area and circumference of circles
M.7Area of compound figures
M.8Area between two shapes
M.9Area and perimeter of similar figures
Transformations
N.1Translations: find the coordinates
N.2Reflections: find the coordinates
N.3Rotations: find the coordinates
N.4Congruence transformations
N.5Compositions of congruence transformations: graph the image
N.6Transformations that carry a polygon onto itself
N.7Dilations: graph the image
N.8Dilations: find the coordinates
N.9Dilations: scale factor and classification
N.10Dilations and parallel lines
Triangles
O.1Classify triangles
O.2Triangle Angle-Sum Theorem
O.3Midsegments of triangles
O.4Triangles and bisectors
O.5Identify medians, altitudes, angle bisectors and perpendicular bisectors
O.6Angle-side relationships in triangles
O.7Triangle Inequality Theorem
Similarity
P.1Identify similar figures
P.2Similarity ratios
P.3Similarity statements
P.4Side lengths and angle measures in similar figures
P.5Similar triangles and indirect measurement
P.6Perimeters of similar figures
P.7Similarity rules for triangles
P.8Similar triangles and similarity transformations
P.9Areas of similar figures
Right triangles
Q.1Pythagoras' Theorem
Q.2Converse of Pythagoras' theorem
Q.3Pythagoras' Inequality Theorems
Q.4Special right triangles
Circles
R.1Parts of a circle
R.2Central angles
R.3Arc measure and arc length
R.4Area of sectors
R.5Circle measurements: mixed review
R.6Arcs and chords
R.7Tangent lines
R.8Perimeter of polygons with an inscribed circle
R.9Inscribed angles
R.10Angles in inscribed right triangles
R.11Angles in inscribed quadrilaterals
Trigonometry
S.1Trigonometric ratios: sin, cos and tan
S.2Trigonometric ratios: csc, sec and cot
S.3Trigonometric functions of complementary angles
S.4Find trigonometric functions of special angles
S.5Find trigonometric functions using a calculator
S.6Inverses of trigonometric functions
S.7Trigonometric ratios: find a side length
S.8Trigonometric ratios: find an angle measure
S.9Solve a right triangle
Surface area and volume
T.1Introduction to surface area and volume
T.2Surface area of prisms and cylinders
T.3Surface area of cones
T.4Volume of prisms and cylinders
T.5Volume of cones
T.6Surface area and volume of spheres
T.7Introduction to similar solids
T.8Surface area and volume of similar solids
T.9Surface area and volume review
Measurement
U.1Convert rates and measurements
U.2Precision
U.3Greatest possible error
U.4Minimum and maximum area and volume
U.5Percent error
U.6Percent error: area and volume
Problem solving
V.1Consecutive integer problems
V.2Rate of travel: word problems
V.3Weighted averages: word problems
V.4Exponential growth and decay: word problems
Logic
W.1Identify hypotheses and conclusions
W.2Counterexamples
W.3Truth tables
W.4Truth values
W.5Conditionals
W.6Negations
W.7Converses, inverses and contrapositives
W.8Biconditionals
Probability
X.1Theoretical probability
X.2Experimental probability
X.3Compound events: find the number of outcomes
X.4Identify independent and dependent events
X.5Probability of independent and dependent events
X.6Geometric probability
X.7Counting principle
Statistics
Y.1Mean, median, mode and range
Y.2Quartiles
Y.3Identify biased samples
Data and graphs
Z.1Interpret histograms
Z.2Create histograms
Z.3Interpret stem-and-leaf plots
Constructions
AA.1Construct a tangent line to a circle
AA.2Construct an equilateral triangle inscribed in a circle
AA.3Construct a regular hexagon inscribed in a circle
AA.4Construct the circumcenter or incenter of a triangle
AA.5Construct the inscribed or circumscribed circle of a triangle
Sentence structure
A.1Is the sentence declarative, interrogative, imperative or exclamatory?
A.2Identify sentence fragments
A.3Identify run-on sentences
A.4Choose punctuation to avoid fragments and run-ons
A.5Is it a phrase or a clause?
A.6Identify prepositional phrases
A.7Identify appositives and appositive phrases
A.8Identify dependent and independent clauses
A.9Is the sentence simple, compound, complex or compound-complex?
A.10Combine sentences using relative clauses
Nouns
B.1Form and use plurals: review
B.2Form and use plurals of compound nouns
B.3Identify and correct errors with plural and possessive nouns
B.4Identify and correct errors with compound and joint possession
Pronouns
C.1Identify and correct errors with subject and object pronouns
C.2Subject and object pronouns review
C.3Pronouns after 'than' and 'as'
C.4Identify and correct pronoun errors with 'who'
C.5Use relative pronouns: who and whom
C.6Use relative pronouns: who, whom, whose, which and that
C.7Identify vague pronoun references
C.8Identify all of the possible antecedents
Verbs and verbals
D.1Identify transitive and intransitive verbs
D.2Identify linking verbs, predicate adjectives and predicate nouns
D.3Identify and correct errors with subject-verb agreement
D.4Identify and correct errors with indefinite pronoun-verb agreement
D.5Identify and correct verb agreement with compound subjects
D.6Identify and correct inappropriate shifts in verb tense
D.7Form the progressive verb tenses
D.8Form the perfect verb tenses
D.9Identify active and passive voice
D.10Rewrite the sentence in active voice
D.11Identify participles and what they modify
D.12Identify gerunds and their functions
D.13Identify infinitives and infinitive phrases
Adjectives and adverbs
E.1Form and use comparative and superlative adjectives
E.2Good, better, best, bad, worse and worst
E.3Form and use comparative and superlative adverbs
E.4Well, better, best, badly, worse and worst
Punctuation and capitalisation
F.1Commas with direct addresses, introductory words, interjections, interrupters and antithetical phrases
F.2Commas with compound and complex sentences
F.3Commas with coordinate adjectives
F.4Commas with non-restrictive elements
F.5Use semicolons and commas to separate clauses
F.6Use semicolons, colons and commas with lists
F.7Semicolons, colons and commas review
F.8Use dashes
F.9Use hyphens in compound adjectives
F.10Decide whether ellipses are used appropriately
F.11Correct capitalisation errors
Prefixes and suffixes
G.1Word pattern analogies
G.2Word pattern sentences
G.3Words with pre-
G.4Words with re-
G.5Words with sub-
G.6Words with mis-
G.7Words with un-, dis-, in-, im- and non-
G.8Words with -ful
G.9Words with -less
G.10Words with -able and -ible
Etymologies and foreign expressions
H.1Sort words by shared Greek or Latin roots
H.2Use Greek and Latin roots as clues to the meanings of words
H.3Use words as clues to the meanings of Greek and Latin roots
H.4Determine the meanings of Greek and Latin roots
H.5Determine the meanings of words with Greek and Latin roots
H.6Use etymologies to determine the meanings of words
H.7Use context as a clue to the meanings of foreign expressions
H.8Use the correct foreign expression
Reference skills
I.1Use dictionary entries
I.2Use dictionary definitions
I.3Use thesaurus entries
Word choice and usage
J.1Choose the word whose connotation and denotation best match the sentence
J.2Use words accurately and precisely
J.3Replace words using a thesaurus
J.4Use dictionary entries to determine correct usage
J.5Analogies
J.6Analogies: challenge
Context clues
K.1Determine the meaning of words using synonyms in context
K.2Determine the meaning of words using antonyms in context
K.3Use context to identify the meaning of a word
Writing clear and concise sentences
L.1Transitions with conjunctive adverbs
L.2Avoid double, illogical and unclear comparisons
L.3Use the correct pair of correlative conjunctions
L.4Identify sentences with parallel structure
L.5Use parallel structure
L.6Remove redundant words or phrases
L.7Misplaced modifiers with pictures
L.8Select the misplaced or dangling modifier
L.9Are the modifiers used correctly?
Common errors
M.1Use the correct homophone
M.2Identify and correct errors with homophones
M.3Use the correct frequently confused word
M.4Identify and correct errors with frequently confused words
M.5Identify and correct errors with frequently confused pronouns and contractions
M.6Correct errors with commonly misspelled words
M.7Correct errors in everyday use
Writing process
N.1Order topics from broadest to narrowest
N.2Organise information by main idea
N.3Choose the topic sentence that best captures the main idea
N.4Identify plagiarism
Writing arguments
O.1Distinguish facts from opinions
O.2Choose the best evidence to support a claim
O.3Identify supporting evidence in a text
O.4Choose the most appropriate counterclaim for a given claim
O.5Choose the analysis that logically connects the evidence to the claim
Author's purpose and tone
P.1Which text is most formal?
P.2Compare passages for tone
P.3Identify audience and purpose
P.4Identify appeals to ethos, pathos and logos in advertisements
P.5Use appeals to ethos, pathos and logos in persuasive writing
Literary devices
Q.1Identify the narrative point of view
Q.2Use personification
Q.3Interpret figures of speech
Q.4Classify figures of speech: euphemism, hyperbole, oxymoron, paradox
Q.5Classify figures of speech: review
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