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**Numbers**

**A.1**Number lines

**A.2**Convert between decimals and fractions

**A.3**Identify rational and irrational numbers

**A.4**Compare and order rational numbers

**A.5**Prime factorisation

**A.6**Square roots

**A.7**Cube roots

**Operations**

**B.1**Add, subtract, multiply and divide integers

**B.2**Evaluate numerical expressions involving integers

**B.3**Evaluate variable expressions involving integers

**B.4**Add and subtract rational numbers

**B.5**Multiply and divide rational numbers

**B.6**Evaluate numerical expressions involving rational numbers

**B.7**Evaluate variable expressions involving rational numbers

**Consumer maths**

**C.1**Simple interest

**C.2**Compound interest

**C.3**Percent of a number: VAT, discount and more

**C.4**Find the percent: discount and mark-up

**C.5**Multi-step problems with percents

**Linear equations**

**D.1**Identify linear equations

**D.2**Find the slope of a graph

**D.3**Find the slope from two points

**D.4**Find a missing coordinate using slope

**D.5**Slope-intercept form: find the slope and y-intercept

**D.6**Slope-intercept form: graph an equation

**D.7**Slope-intercept form: write an equation from a graph

**D.8**Slope-intercept form: write an equation

**D.9**Slope-intercept form: write an equation from a table

**D.10**Slope-intercept form: write an equation from a word problem

**D.11**Write linear equations to solve word problems

**D.12**Compare linear equations, graphs and tables

**D.13**Write equations in standard form

**D.14**Standard form: find x- and y-intercepts

**D.15**Standard form: graph an equation

**D.16**Equations of horizontal and vertical lines

**D.17**Graph a horizontal or vertical line

**D.18**Slopes of parallel and perpendicular lines

**D.19**Write an equation for a parallel or perpendicular line

**D.20**Find the distance between a point and a line

**D.21**Find the distance between two parallel lines

**Pairs of linear equations**

**E.1**Is (x, y) a solution to the pair of equations?

**E.2**Solve a pair of equations by graphing

**E.3**Solve a pair of equations by graphing: word problems

**E.4**Find the number of solutions to a pair of equations by graphing

**E.5**Find the number of solutions to a pair of equations

**E.6**Solve a pair of equations using substitution

**E.7**Solve a pair of equations using substitution: word problems

**E.8**Solve a pair of equations using elimination

**E.9**Solve a pair of equations using elimination: word problems

**Matrices**

**F.1**Matrix vocabulary

**F.2**Matrix operation rules

**F.3**Add and subtract matrices

**F.4**Multiply a matrix by a scalar

**F.5**Multiply two matrices

**Arithmetic sequences**

**G.1**Arithmetic sequences

**G.2**Evaluate variable expressions for arithmetic sequences

**G.3**Write variable expressions for arithmetic sequences

**G.4**Partial sums of arithmetic series

**Polynomials**

**H.1**Polynomial vocabulary

**H.2**Model polynomials with algebra tiles

**H.3**Add and subtract polynomials using algebra tiles

**H.4**Add and subtract polynomials

**H.5**Add polynomials to find perimeter

**H.6**Multiply and divide monomials

**H.7**Powers of monomials

**H.8**Multiply a polynomial by a monomial

**H.9**Multiply two polynomials using algebra tiles

**H.10**Multiply two binomials

**H.11**Multiply two binomials: special cases

**H.12**Multiply polynomials

**Factorising**

**I.1**HCF of monomials

**I.2**Factorise out a monomial

**I.3**Factorise quadratics with leading coefficient 1

**I.4**Factorise quadratics with other leading coefficients

**I.5**Factorise quadratics: special cases

**I.6**Factorise quadratics using algebra tiles

**I.7**Factorise by grouping

**I.8**Factorise polynomials

**Quadratic equations**

**J.1**Characteristics of quadratic equations

**J.2**Complete a table: quadratic equations

**J.3**Solve a quadratic equation using square roots

**J.4**Solve a quadratic equation using the zero product property

**J.5**Solve a quadratic equation by factorising

**J.6**Complete the square

**J.7**Solve a quadratic equation by completing the square

**J.8**Solve a quadratic equation using the quadratic formula

**J.9**Using the discriminant

**J.10**Graph a quadratic equation

**J.11**Match quadratic functions and graphs

**Rational expressions**

**K.1**Simplify complex fractions

**K.2**Simplify rational expressions

**K.3**Multiply and divide rational expressions

**K.4**Divide polynomials

**K.5**Add and subtract rational expressions

**K.6**Solve rational equations

**Points, lines and segments**

**L.1**Lines, line segments and half lines

**L.2**Lengths of segments on number lines

**L.3**Additive property of length

**L.4**Midpoints

**L.5**Congruent line segments

**L.6**Perpendicular Bisector Theorem

**L.7**Midpoint formula

**L.8**Distance formula

**Two-dimensional figures**

**M.1**Polygon vocabulary

**M.2**Perimeter

**M.3**Area of triangles and quadrilaterals

**M.4**Area and perimeter in the coordinate plane I

**M.5**Area and perimeter in the coordinate plane II

**M.6**Area and circumference of circles

**M.7**Area of compound figures

**M.8**Area between two shapes

**M.9**Area and perimeter of similar figures

**Transformations**

**N.1**Translations: find the coordinates

**N.2**Reflections: find the coordinates

**N.3**Rotations: find the coordinates

**N.4**Congruence transformations

**N.5**Compositions of congruence transformations: graph the image

**N.6**Transformations that carry a polygon onto itself

**N.7**Dilations: graph the image

**N.8**Dilations: find the coordinates

**N.9**Dilations: scale factor and classification

**N.10**Dilations and parallel lines

**Triangles**

**O.1**Classify triangles

**O.2**Triangle Angle-Sum Theorem

**O.3**Midsegments of triangles

**O.4**Triangles and bisectors

**O.5**Identify medians, altitudes, angle bisectors and perpendicular bisectors

**O.6**Angle-side relationships in triangles

**O.7**Triangle Inequality Theorem

**Similarity**

**P.1**Identify similar figures

**P.2**Similarity ratios

**P.3**Similarity statements

**P.4**Side lengths and angle measures in similar figures

**P.5**Similar triangles and indirect measurement

**P.6**Perimeters of similar figures

**P.7**Similarity rules for triangles

**P.8**Similar triangles and similarity transformations

**P.9**Areas of similar figures

**Right triangles**

**Q.1**Pythagoras' Theorem

**Q.2**Converse of Pythagoras' theorem

**Q.3**Pythagoras' Inequality Theorems

**Q.4**Special right triangles

**Circles**

**R.1**Parts of a circle

**R.2**Central angles

**R.3**Arc measure and arc length

**R.4**Area of sectors

**R.5**Circle measurements: mixed review

**R.6**Arcs and chords

**R.7**Tangent lines

**R.8**Perimeter of polygons with an inscribed circle

**R.9**Inscribed angles

**R.10**Angles in inscribed right triangles

**R.11**Angles in inscribed quadrilaterals

**Trigonometry**

**S.1**Trigonometric ratios: sin, cos and tan

**S.2**Trigonometric ratios: csc, sec and cot

**S.3**Trigonometric functions of complementary angles

**S.4**Find trigonometric functions of special angles

**S.5**Find trigonometric functions using a calculator

**S.6**Inverses of trigonometric functions

**S.7**Trigonometric ratios: find a side length

**S.8**Trigonometric ratios: find an angle measure

**S.9**Solve a right triangle

**Surface area and volume**

**T.1**Introduction to surface area and volume

**T.2**Surface area of prisms and cylinders

**T.3**Surface area of cones

**T.4**Volume of prisms and cylinders

**T.5**Volume of cones

**T.6**Surface area and volume of spheres

**T.7**Introduction to similar solids

**T.8**Surface area and volume of similar solids

**T.9**Surface area and volume review

**Measurement**

**U.1**Convert rates and measurements

**U.2**Precision

**U.3**Greatest possible error

**U.4**Minimum and maximum area and volume

**U.5**Percent error

**U.6**Percent error: area and volume

**Problem solving**

**V.1**Consecutive integer problems

**V.2**Rate of travel: word problems

**V.3**Weighted averages: word problems

**V.4**Exponential growth and decay: word problems

**Logic**

**W.1**Identify hypotheses and conclusions

**W.2**Counterexamples

**W.3**Truth tables

**W.4**Truth values

**W.5**Conditionals

**W.6**Negations

**W.7**Converses, inverses and contrapositives

**W.8**Biconditionals

**Probability**

**X.1**Theoretical probability

**X.2**Experimental probability

**X.3**Compound events: find the number of outcomes

**X.4**Identify independent and dependent events

**X.5**Probability of independent and dependent events

**X.6**Geometric probability

**X.7**Counting principle

**Statistics**

**Y.1**Mean, median, mode and range

**Y.2**Quartiles

**Y.3**Identify biased samples

**Data and graphs**

**Z.1**Interpret histograms

**Z.2**Create histograms

**Z.3**Interpret stem-and-leaf plots

**Constructions**

**AA.1**Construct a tangent line to a circle

**AA.2**Construct an equilateral triangle inscribed in a circle

**AA.3**Construct a regular hexagon inscribed in a circle

**AA.4**Construct the circumcenter or incenter of a triangle

**AA.5**Construct the inscribed or circumscribed circle of a triangle

**Sentence structure**

**A.1**Is the sentence declarative, interrogative, imperative or exclamatory?

**A.2**Identify sentence fragments

**A.3**Identify run-on sentences

**A.4**Choose punctuation to avoid fragments and run-ons

**A.5**Is it a phrase or a clause?

**A.6**Identify prepositional phrases

**A.7**Identify appositives and appositive phrases

**A.8**Identify dependent and independent clauses

**A.9**Is the sentence simple, compound, complex or compound-complex?

**A.10**Combine sentences using relative clauses

**Nouns**

**B.1**Form and use plurals: review

**B.2**Form and use plurals of compound nouns

**B.3**Identify and correct errors with plural and possessive nouns

**B.4**Identify and correct errors with compound and joint possession

**Pronouns**

**C.1**Identify and correct errors with subject and object pronouns

**C.2**Subject and object pronouns review

**C.3**Pronouns after 'than' and 'as'

**C.4**Identify and correct pronoun errors with 'who'

**C.5**Use relative pronouns: who and whom

**C.6**Use relative pronouns: who, whom, whose, which and that

**C.7**Identify vague pronoun references

**C.8**Identify all of the possible antecedents

**Verbs and verbals**

**D.1**Identify transitive and intransitive verbs

**D.2**Identify linking verbs, predicate adjectives and predicate nouns

**D.3**Identify and correct errors with subject-verb agreement

**D.4**Identify and correct errors with indefinite pronoun-verb agreement

**D.5**Identify and correct verb agreement with compound subjects

**D.6**Identify and correct inappropriate shifts in verb tense

**D.7**Form the progressive verb tenses

**D.8**Form the perfect verb tenses

**D.9**Identify active and passive voice

**D.10**Rewrite the sentence in active voice

**D.11**Identify participles and what they modify

**D.12**Identify gerunds and their functions

**D.13**Identify infinitives and infinitive phrases

**Adjectives and adverbs**

**E.1**Form and use comparative and superlative adjectives

**E.2**Good, better, best, bad, worse and worst

**E.3**Form and use comparative and superlative adverbs

**E.4**Well, better, best, badly, worse and worst

**Punctuation and capitalisation**

**F.1**Commas with direct addresses, introductory words, interjections, interrupters and antithetical phrases

**F.2**Commas with compound and complex sentences

**F.3**Commas with coordinate adjectives

**F.4**Commas with non-restrictive elements

**F.5**Use semicolons and commas to separate clauses

**F.6**Use semicolons, colons and commas with lists

**F.7**Semicolons, colons and commas review

**F.8**Use dashes

**F.9**Use hyphens in compound adjectives

**F.10**Decide whether ellipses are used appropriately

**F.11**Correct capitalisation errors

**Prefixes and suffixes**

**G.1**Word pattern analogies

**G.2**Word pattern sentences

**G.3**Words with pre-

**G.4**Words with re-

**G.5**Words with sub-

**G.6**Words with mis-

**G.7**Words with un-, dis-, in-, im- and non-

**G.8**Words with -ful

**G.9**Words with -less

**G.10**Words with -able and -ible

**Etymologies and foreign expressions**

**H.1**Sort words by shared Greek or Latin roots

**H.2**Use Greek and Latin roots as clues to the meanings of words

**H.3**Use words as clues to the meanings of Greek and Latin roots

**H.4**Determine the meanings of Greek and Latin roots

**H.5**Determine the meanings of words with Greek and Latin roots

**H.6**Use etymologies to determine the meanings of words

**H.7**Use context as a clue to the meanings of foreign expressions

**H.8**Use the correct foreign expression

**Reference skills**

**I.1**Use dictionary entries

**I.2**Use dictionary definitions

**I.3**Use thesaurus entries

**Word choice and usage**

**J.1**Choose the word whose connotation and denotation best match the sentence

**J.2**Use words accurately and precisely

**J.3**Replace words using a thesaurus

**J.4**Use dictionary entries to determine correct usage

**J.5**Analogies

**J.6**Analogies: challenge

**Context clues**

**K.1**Determine the meaning of words using synonyms in context

**K.2**Determine the meaning of words using antonyms in context

**K.3**Use context to identify the meaning of a word

**Writing clear and concise sentences**

**L.1**Transitions with conjunctive adverbs

**L.2**Avoid double, illogical and unclear comparisons

**L.3**Use the correct pair of correlative conjunctions

**L.4**Identify sentences with parallel structure

**L.5**Use parallel structure

**L.6**Remove redundant words or phrases

**L.7**Misplaced modifiers with pictures

**L.8**Select the misplaced or dangling modifier

**L.9**Are the modifiers used correctly?

**Common errors**

**M.1**Use the correct homophone

**M.2**Identify and correct errors with homophones

**M.3**Use the correct frequently confused word

**M.4**Identify and correct errors with frequently confused words

**M.5**Identify and correct errors with frequently confused pronouns and contractions

**M.6**Correct errors with commonly misspelled words

**M.7**Correct errors in everyday use

**Writing process**

**N.1**Order topics from broadest to narrowest

**N.2**Organise information by main idea

**N.3**Choose the topic sentence that best captures the main idea

**N.4**Identify plagiarism

**Writing arguments**

**O.1**Distinguish facts from opinions

**O.2**Choose the best evidence to support a claim

**O.3**Identify supporting evidence in a text

**O.4**Choose the most appropriate counterclaim for a given claim

**O.5**Choose the analysis that logically connects the evidence to the claim

**Author's purpose and tone**

**P.1**Which text is most formal?

**P.2**Compare passages for tone

**P.3**Identify audience and purpose

**P.4**Identify appeals to ethos, pathos and logos in advertisements

**P.5**Use appeals to ethos, pathos and logos in persuasive writing

**Literary devices**

**Q.1**Identify the narrative point of view

**Q.2**Use personification

**Q.3**Interpret figures of speech

**Q.4**Classify figures of speech: euphemism, hyperbole, oxymoron, paradox

**Q.5**Classify figures of speech: review

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