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**Number theory**

**A.1**Factors

**A.2**Divisibility rules

**A.3**Prime or composite

**A.4**Prime factorisation

**A.5**Highest common factor

**A.6**Lowest common multiple

**A.7**HCF and LCM: word problems

**A.8**Classify numbers

**Integers**

**B.1**Integers on number lines

**B.2**Graph integers on horizontal and vertical number lines

**B.3**Compare and order integers

**Operations with integers**

**C.1**Integer addition and subtraction rules

**C.2**Add and subtract integers using counters

**C.3**Add and subtract integers

**C.4**Add and subtract three or more integers

**C.5**Add and subtract integers: word problems

**C.6**Integer multiplication and division rules

**C.7**Multiply and divide integers

**C.8**Evaluate numerical expressions involving integers

**Rational numbers**

**D.1**Identify rational and irrational numbers

**D.2**Write fractions in lowest terms

**D.3**Lowest common denominator

**D.4**Round decimals and mixed numbers

**D.5**Convert between decimals and fractions or mixed numbers

**D.6**Compare rational numbers

**D.7**Put rational numbers in order

**Operations with rational numbers**

**E.1**Reciprocals and multiplicative inverses

**E.2**Add and subtract rational numbers

**E.3**Add and subtract rational numbers: word problems

**E.4**Apply addition and subtraction rules

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

**E.6**Multiply and divide rational numbers: word problems

**E.7**Apply multiplication and division rules

**E.8**Apply addition, subtraction, multiplication and division rules

**E.9**Evaluate numerical expressions involving rational numbers

**Exponents and roots**

**F.1**Understanding exponents

**F.2**Evaluate exponents

**F.3**Solve equations with variable exponents

**F.4**Exponents with negative bases

**F.5**Exponents with decimal and fractional bases

**F.6**Understanding negative exponents

**F.7**Evaluate negative exponents

**F.8**Multiplication with exponents

**F.9**Division with exponents

**F.10**Multiplication and division with exponents

**F.11**Power rule

**F.12**Evaluate expressions using properties of exponents

**F.13**Identify equivalent expressions involving exponents

**F.14**Square roots of perfect squares

**F.15**Positive and negative square roots

**F.16**Estimate positive and negative square roots

**F.17**Relationship between squares and square roots

**F.18**Solve equations involving squares and square roots

**F.19**Cube roots of perfect cubes

**F.20**Estimate cube roots

**F.21**Solve equations involving cubes and cube roots

**Scientific notation**

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

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

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

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

**Ratios, rates and proportions**

**H.1**Understanding ratios

**H.2**Identify equivalent ratios

**H.3**Write an equivalent ratio

**H.4**Equivalent ratios: word problems

**H.5**Unit rates

**H.6**Compare ratios: word problems

**H.7**Solve proportions: word problems

**H.8**Do the ratios form a proportion?

**H.9**Do the ratios form a proportion: word problems

**H.10**Solve proportions

**H.11**Estimate population size using proportions

**H.12**Scale drawings: word problems

**H.13**Rate of change

**H.14**Constant rate of change

**Proportional relationships**

**I.1**Find the constant of proportionality from a table

**I.2**Write equations for proportional relationships from tables

**I.3**Identify proportional relationships by graphing

**I.4**Find the constant of proportionality from a graph

**I.5**Write equations for proportional relationships from graphs

**I.6**Identify proportional relationships

**I.7**Graph proportional relationships

**I.8**Interpret graphs of proportional relationships

**I.9**Write and solve equations for proportional relationships

**Percents**

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

**J.2**Compare percents to fractions and decimals

**J.3**Find what percent one number is of another

**J.4**Find what percent one number is of another: word problems

**J.5**Estimate percents of numbers

**J.6**Percents of numbers and money amounts

**J.7**Percents of numbers: word problems

**J.8**Compare percents of numbers

**J.9**Solve percent equations

**J.10**Percent of change

**J.11**Percent of change: word problems

**Consumer maths**

**K.1**Price lists

**K.2**Unit prices

**K.3**Unit prices: find the total price

**K.4**Percent of a number: VAT, discount and more

**K.5**Find the percent: discount and mark-up

**K.6**Sale prices: find the original price

**K.7**Multi-step problems with percents

**K.8**Estimate tips

**K.9**Simple interest

**K.10**Compound interest

**Units of measurement**

**L.1**Convert rates and measurements: metric units

**L.2**Metric mixed units

**L.3**Convert square and cubic units of length

**L.4**Convert between cubic metres and litres

**L.5**Precision

**Problem solving**

**M.1**Multi-step word problems

**M.2**Guess-and-check word problems

**M.3**Use Venn diagrams to solve problems

**M.4**Elapsed time word problems

**Coordinate plane**

**N.1**Points on a coordinate plane

**N.2**Quadrants and axes

**N.3**Follow directions on a coordinate plane

**Two-dimensional figures**

**O.1**Identify and classify polygons

**O.2**Classify triangles

**O.3**Identify trapeziums

**O.4**Classify quadrilaterals

**O.5**Graph triangles and quadrilaterals

**O.6**Properties of parallelograms

**O.7**Properties of rhombuses

**O.8**Properties of squares and rectangles

**O.9**Find missing angles in triangles and quadrilaterals

**O.10**Interior angles of polygons

**O.11**Lines, line segments and half lines

**O.12**Identify complementary, supplementary, vertical, adjacent and congruent angles

**O.13**Find measures of complementary, supplementary, vertical and adjacent angles

**O.14**Transversal of parallel lines

**O.15**Find lengths and measures of bisected line segments and angles

**O.16**Parts of a circle

**O.17**Symmetry

**O.18**Count lines of symmetry

**O.19**Draw lines of symmetry

**Congruence and similarity**

**P.1**Similar and congruent figures

**P.2**Side lengths and angle measures of congruent figures

**P.3**Congruence statements and corresponding parts

**P.4**Congruent triangles: SSS, SAS and ASA

**P.5**Side lengths and angle measures of similar figures

**Constructions**

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

**Q.2**Construct an angle bisector

**Q.3**Construct a congruent angle

**Q.4**Construct a perpendicular line

**Q.5**Construct parallel lines

**Q.6**Construct an equilateral triangle or regular hexagon

**Pythagoras' theorem**

**R.1**Pythagoras' theorem: find the length of the hypotenuse

**R.2**Pythagoras' theorem: find the missing leg length

**R.3**Pythagoras' theorem: find the perimeter

**R.4**Pythagoras' theorem: word problems

**R.5**Converse of Pythagoras' theorem: is it a right triangle?

**Three-dimensional figures**

**S.1**Parts of three-dimensional figures

**S.2**Nets of three-dimensional figures

**S.3**Front, side and top view

**S.4**Base plans

**S.5**Similar solids

**Geometric measurement**

**T.1**Perimeter

**T.2**Area

**T.3**Area between two shapes

**T.4**Area and perimeter: word problems

**T.5**Circles, semicircles and quarter circles

**T.6**Circles: word problems

**T.7**Volume of prisms and cylinders

**T.8**Surface area of prisms and cylinders

**T.9**Volume and surface area of similar solids

**T.10**Perimeter, area and volume: changes in scale

**Number sequences**

**U.1**Identify arithmetic and geometric sequences

**U.2**Arithmetic sequences

**U.3**Geometric sequences

**U.4**Number sequences: mixed review

**U.5**Number sequences: word problems

**U.6**Evaluate variable expressions for number sequences

**U.7**

Write variable expressions for arithmetic sequences

**Expressions and properties**

**V.1**Write variable expressions

**V.2**Write variable expressions from diagrams

**V.3**Write variable expressions: word problems

**V.4**Evaluate one-variable expressions

**V.5**Evaluate multi-variable expressions

**V.6**Evaluate absolute value expressions

**V.7**Evaluate radical expressions

**V.8**Evaluate rational expressions

**V.9**Identify terms and coefficients

**V.10**Sort factors of expressions

**V.11**Properties of addition and multiplication

**V.12**Multiply using the distributive property

**V.13**Simplify variable expressions using properties

**V.14**Add and subtract like terms

**V.15**Add, subtract and multiply linear expressions

**V.16**Factors of linear expressions

**V.17**Identify equivalent linear expressions

**One-variable equations**

**W.1**Which x satisfies an equation?

**W.2**Write an equation from words

**W.3**Model and solve equations using algebra tiles

**W.4**Write and solve equations that represent diagrams

**W.5**Properties of equality

**W.6**Solve one-step equations

**W.7**Solve two-step equations

**W.8**Solve multi-step equations

**W.9**Solve equations involving like terms

**W.10**Solve equations: complete the solution

**W.11**Solve equations: word problems

**Monomials and polynomials**

**X.1**Identify monomials

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

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

**X.4**Add and subtract polynomials

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

**X.6**Multiply monomials

**X.7**Divide monomials

**X.8**Multiply and divide monomials

**X.9**Powers of monomials

**X.10**Square and cube roots of monomials

**X.11**Multiply polynomials using algebra tiles

**X.12**Multiply polynomials

**X.13**Multiply polynomials to find area

**Factorising**

**Y.1**HCF of monomials

**Y.2**Factorise out a monomial

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

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

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

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

**Y.7**Factorise by grouping

**Y.8**Factorise polynomials

**Data and graphs**

**Z.1**Interpret tables

**Z.2**Interpret bar graphs

**Z.3**Create bar graphs

**Z.4**Interpret line graphs

**Z.5**Create line graphs

**Z.6**Interpret line plots

**Z.7**Create line plots

**Z.8**Interpret stem-and-leaf plots

**Z.9**Create stem-and-leaf plots

**Z.10**Interpret histograms

**Z.11**Create histograms

**Z.12**Create frequency charts

**Z.13**Interpret pie charts

**Z.14**Pie charts and central angles

**Z.15**Choose the best type of graph

**Statistics**

**AA.1**Calculate mean, median, mode and range

**AA.2**Interpret charts to find mean, median, mode and range

**AA.3**Mean, median, mode and range: find the missing number

**AA.4**Changes in mean, median, mode and range

**Probability**

**BB.1**Probability of simple events

**BB.2**Probability of opposite, mutually exclusive and overlapping events

**BB.3**Experimental probability

**BB.4**Make predictions

**BB.5**Compound events: find the number of outcomes

**BB.6**Counting principle

**Sentence structure**

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

**A.2**Identify the complete subject or complete predicate of a sentence

**A.3**Identify the simple subject or simple predicate of a sentence

**A.4**Identify the compound subject or compound predicate of a sentence

**A.5**Is it a direct object or an indirect object?

**A.6**Is it a complete sentence or a fragment?

**A.7**Is it a complete sentence or a run-on?

**A.8**Is it a complete sentence, a fragment or a run-on?

**A.9**Is it a phrase or a clause?

**A.10**Identify prepositional phrases

**A.11**Identify appositives and appositive phrases

**A.12**Identify dependent and independent clauses

**A.13**Is the sentence simple, compound, complex or compound-complex?

**A.14**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 plurals, singular possessives and plural possessives

**B.4**Form the singular or plural possessive

**B.5**Identify and correct errors with plural and possessive nouns

**B.6**Identify and correct errors with compound and joint possession

**Pronouns**

**C.1**Identify pronouns and their antecedents

**C.2**Use the pronoun that agrees with the antecedent

**C.3**Choose between subject and object pronouns

**C.4**Compound subjects and objects with 'I' and 'me"

**C.5**Compound subjects and objects with pronouns

**C.6**Choose between personal and reflexive pronouns

**C.7**Use reflexive pronouns

**C.8**Is the pronoun reflexive or intensive?

**C.9**Use relative pronouns: who and whom

**C.10**Use relative pronouns: who, whom, whose, which and that

**C.11**Identify vague pronoun references

**C.12**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**Correct errors with subject-verb agreement

**D.4**Correct errors with indefinite pronoun-verb agreement

**D.5**Use the correct verb – with compound subjects

**D.6**Irregular past tense: review

**D.7**Simple past, present and future tense: review

**D.8**Identify and correct inappropriate shifts in verb tense

**D.9**Form the progressive verb tenses

**D.10**Form the perfect verb tenses

**D.11**Identify active and passive voice

**D.12**Rewrite the sentence in active voice

**D.13**Identify participles and what they modify

**D.14**Identify gerunds and their functions

**D.15**Identify infinitives and infinitive phrases

**Adjectives and adverbs**

**E.1**Identify adjectives

**E.2**Order adjectives

**E.3**Identify adverbs

**E.4**Choose between adjectives and adverbs

**E.5**Is the word an adjective or adverb?

**E.6**Form and use comparative and superlative adjectives

**E.7**Good, better, best, bad, worse and worst

**E.8**Form and use comparative and superlative adverbs

**E.9**Well, better, best, badly, worse and worst

**Punctuation, capitalisation and formatting**

**F.1**Commas with compound and complex sentences

**F.2**Commas with direct addresses, introductory words, interjections and interrupters

**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**Use dashes

**F.8**Use hyphens in compound adjectives

**F.9**Decide whether ellipses are used appropriately

**F.10**Correct capitalisation errors

**F.11**Capitalising titles

**F.12**Formatting titles

**F.13**Formatting and capitalising titles: review

**Prefixes and suffixes**

**G.1**Words with pre-

**G.2**Words with re-

**G.3**Words with sub-

**G.4**Words with mis-

**G.5**Words with un-, dis-, in-, im- and non-

**G.6**Words with -ful

**G.7**Words with -less

**G.8**Words with -able and -ible

**Greek and Latin roots**

**H.1**Use Greek and Latin roots as clues to the meanings of words

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

**H.3**Determine the meanings of Greek and Latin roots

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

**Reference skills**

**I.1**Alphabetical order

**I.2**Use guide words

**I.3**Use dictionary entries

**I.4**Use dictionary definitions

**I.5**Use thesaurus entries

**Word relationships and usage**

**J.1**Choose the synonym

**J.2**Choose the antonym

**J.3**Describe the difference between related words

**J.4**Positive and negative connotation

**J.5**Use the correct homophone

**J.6**Use the correct frequently confused word

**J.7**Correct errors with frequently confused words

**J.8**Analogies

**J.9**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**Use the correct pair of correlative conjunctions

**L.3**Use parallel structure

**L.4**Remove redundant words or phrases

**L.5**Misplaced modifiers with pictures

**L.6**Select the misplaced or dangling modifier

**L.7**Are the modifiers used correctly?

**Author's purpose and tone**

**M.1**Which sentence is more formal?

**Literary devices**

**N.1**Use personification

**N.2**Interpret figures of speech

**N.3**Classify figures of speech

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