Maths

**Numbers**

**A.1**Classify numbers

**A.2**Compare and order rational numbers

**A.3**Number lines

**A.4**Convert between decimals and fractions

**A.5**Square roots

**A.6**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

**Ratios, rates and proportions**

**C.1**Identify equivalent ratios

**C.2**Write an equivalent ratio

**C.3**Unit rates

**C.4**Unit prices

**C.5**Solve proportions

**C.6**Solve proportions: word problems

**C.7**Scale drawings: word problems

**Percents**

**D.1**Convert between percents, fractions and decimals

**D.2**Solve percent equations

**D.3**Percent word problems

**D.4**Percent of change

**D.5**Percent of change: word problems

**D.6**Percent of a number: VAT, discount and more

**D.7**Find the percent: discount and mark-up

**D.8**Multi-step problems with percents

**Measurement**

**E.1**Convert rates and measurements

**E.2**Precision

**E.3**Greatest possible error

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

**E.5**Percent error

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

**Lines and angles**

**F.1**Transversals: name angle pairs

**F.2**Transversals of parallel lines: find angle measures

**F.3**Identify complementary, supplementary, vertical, adjacent and congruent angles

**F.4**Find measures of complementary, supplementary, vertical and adjacent angles

**Triangles**

**G.1**Classify triangles

**G.2**Triangle angle-sum property

**G.3**Exterior angle property

**G.4**Exterior angle inequality

**G.5**Angle-side relationships in triangles

**G.6**Triangle Inequality Theorem

**G.7**Midsegments of triangles

**G.8**SSS, SAS and ASA Theorems

**G.9**SSS Theorem in the coordinate plane

**G.10**Congruency in isosceles and equilateral triangles

**G.11**Hypotenuse-Leg Theorem

**Quadrilaterals**

**H.1**Classify quadrilaterals

**H.2**Graph quadrilaterals

**H.3**Properties of parallelograms

**H.4**Proving a quadrilateral is a parallelogram

**H.5**Properties of rhombuses

**H.6**Properties of squares and rectangles

**H.7**Properties of trapeziums

**H.8**Properties of kites

**H.9**Review: properties of quadrilaterals

**Polygons**

**I.1**Polygon vocabulary

**I.2**Interior angles of polygons

**I.3**Exterior angles of polygons

**I.4**Review: interior and exterior angles of polygons

**Area and perimeter**

**J.1**Perimeter

**J.2**Area of rectangles and squares

**J.3**Area of parallelograms and triangles

**J.4**Area of trapeziums

**J.5**Area and circumference of circles

**J.6**Area of compound figures

**J.7**Area between two shapes

**J.8**Area and perimeter mixed review

**J.9**Heron's formula

**Surface area and volume**

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

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

**K.3**Surface area of cones

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

**K.5**Volume of cones

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

**K.7**Surface area and volume review

**Circles**

**L.1**Parts of a circle

**L.2**Central angles

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

**L.4**Area of sectors

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

**L.6**Arcs and chords

**L.7**Tangent lines

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

**L.9**Inscribed angles

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

**L.11**Angles in inscribed quadrilaterals

**Constructions**

**M.1**Construct the midpoint or perpendicular bisector of a segment

**M.2**Construct an angle bisector

**M.3**Construct a congruent angle

**M.4**Construct an equilateral triangle or regular hexagon

**Solve equations**

**N.1**Model and solve equations using algebra tiles

**N.2**Write and solve equations that represent diagrams

**N.3**Solve one-step linear equations

**N.4**Solve two-step linear equations

**N.5**Solve advanced linear equations

**N.6**Solve equations with variables on both sides

**N.7**Solve equations: complete the solution

**N.8**Find the number of solutions

**N.9**Create equations with no solutions or infinitely many solutions

**N.10**Solve linear equations: word problems

**N.11**Solve linear equations: mixed review

**Data and graphs**

**O.1**Interpret bar graphs, line graphs and histograms

**O.2**Create bar graphs, line graphs and histograms

**O.3**Interpret pie charts

**O.4**Interpret stem-and-leaf plots

**Problem solving**

**P.1**Word problems: mixed review

**P.2**Word problems with money

**P.3**Consecutive integer problems

**P.4**Rate of travel: word problems

**P.5**Weighted averages: word problems

**Logic**

**Q.1**Identify hypotheses and conclusions

**Q.2**Counterexamples

**Coordinate plane**

**R.1**Coordinate plane review

**R.2**Quadrants and axes

**Direct variation**

**S.1**Identify proportional relationships

**S.2**Find the constant of variation

**S.3**Graph a proportional relationship

**S.4**Write direct variation equations

**S.5**Write and solve direct variation equations

**Linear equations**

**T.1**Identify linear equations

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

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

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

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

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

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

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

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

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

**T.11**Linear equations: solve for y

**T.12**Write linear equations to solve word problems

**T.13**Compare linear equations, graphs and tables

**T.14**Write equations in standard form

**T.15**Standard form: find x- and y-intercepts

**T.16**Standard form: graph an equation

**T.17**Equations of horizontal and vertical lines

**T.18**Graph a horizontal or vertical line

**T.19**Slopes of parallel and perpendicular lines

**T.20**Write an equation for a parallel or perpendicular line

**Exponents**

**U.1**Exponents with integer bases

**U.2**Exponents with decimal and fractional bases

**U.3**Negative exponents

**U.4**Multiplication with exponents

**U.5**Division with exponents

**U.6**Multiplication and division with exponents

**U.7**Power rule

**U.8**Evaluate expressions using properties of exponents

**U.9**Identify equivalent expressions involving exponents

**Rational exponents**

**V.1**Evaluate rational exponents

**V.2**Multiplication with rational exponents

**V.3**Division with rational exponents

**V.4**Power rule with rational exponents

**V.5**Simplify expressions involving rational exponents I

**V.6**Simplify expressions involving rational exponents II

**Logarithms**

**W.1**Convert between exponential and logarithmic form: rational bases

**W.2**Evaluate logarithms

**W.3**Change of base formula

**W.4**Identify properties of logarithms

**W.5**Product property of logarithms

**W.6**Quotient property of logarithms

**W.7**Power property of logarithms

**W.8**Properties of logarithms: mixed review

**W.9**Evaluate logarithms: mixed review

**Scientific notation**

**X.1**Convert between standard and scientific notation

**X.2**Compare numbers written in scientific notation

**X.3**Multiply numbers written in scientific notation

**X.4**Divide numbers written in scientific notation

**Monomials**

**Y.1**Identify monomials

**Y.2**Multiply monomials

**Y.3**Divide monomials

**Y.4**Multiply and divide monomials

**Y.5**Powers of monomials

**Polynomials**

**Z.1**Polynomial vocabulary

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

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

**Z.4**Add and subtract polynomials

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

**Z.6**Multiply a polynomial by a monomial

**Z.7**Multiply two polynomials using algebra tiles

**Z.8**Multiply two binomials

**Z.9**Multiply two binomials: special cases

**Z.10**Multiply polynomials

**Z.11**Write a polynomial from its roots

**Z.12**Find the roots of factorised polynomials

**Factorising**

**AA.1**HCF of monomials

**AA.2**Factorise out a monomial

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

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

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

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

**AA.7**Factorise by grouping

**AA.8**Factorise polynomials

**Quadratic equations**

**BB.1**Characteristics of quadratic equations

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

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

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

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

**BB.6**Solve a quadratic equation using the quadratic formula

**Radical expressions**

**CC.1**Roots of integers

**CC.2**Roots of rational numbers

**CC.3**Find roots using a calculator

**CC.4**Nth roots

**CC.5**Simplify radical expressions with variables I

**CC.6**Simplify radical expressions with variables II

**CC.7**Multiply radical expressions

**CC.8**Divide radical expressions

**CC.9**Add and subtract radical expressions

**CC.10**Simplify radical expressions using the distributive property

**CC.11**Simplify radical expressions using conjugates

**Rational expressions**

**DD.1**Simplify complex fractions

**DD.2**Simplify rational expressions

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

**DD.4**Divide polynomials

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

**DD.6**Solve rational equations

**Probability**

**EE.1**Theoretical probability

**EE.2**Experimental probability

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

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

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

**EE.6**Factorials

**EE.7**Counting principle

**Statistics**

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

**FF.2**Quartiles

**FF.3**Identify biased samples

**FF.4**Variance and standard deviation

English

**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, capitalisation and formatting**

**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

**F.12**Capitalising titles

**F.13**Formatting titles

**F.14**Formatting and capitalising titles: review

**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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