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**Number theory**

**A.1**Prime or composite

**A.2**Prime factorisation

**A.3**Multiplicative inverses

**A.4**Divisibility rules

**A.5**Highest common factor

**A.6**Lowest common multiple

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

**A.8**Scientific notation

**A.9**Compare numbers written in scientific notation

**A.10**Classify numbers

**Integers**

**B.1**Understanding integers

**B.2**Integers on number lines

**B.3**Graph integers on horizontal and vertical number lines

**B.4**Absolute value and opposite integers

**B.5**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**Complete addition and subtraction sentences with integers

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

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

**C.7**Multiply and divide integers

**C.8**Complete multiplication and division sentences with integers

**C.9**Evaluate numerical expressions involving integers

**Decimals**

**D.1**Decimal numbers review

**D.2**Compare and order decimals

**D.3**Decimal number lines

**D.4**Round decimals

**Operations with decimals**

**E.1**Add and subtract decimals

**E.2**Add and subtract decimals: word problems

**E.3**Multiply decimals

**E.4**Multiply decimals and whole numbers: word problems

**E.5**Divide decimals

**E.6**Divide decimals by whole numbers: word problems

**E.7**Estimate sums, differences and products of decimals

**E.8**Add, subtract, multiply and divide decimals: word problems

**E.9**Multi-step inequalities with decimals

**E.10**Maps with decimal distances

**E.11**Evaluate numerical expressions involving decimals

**Fractions and mixed numbers**

**F.1**Understanding fractions: word problems

**F.2**Equivalent fractions

**F.3**Write fractions in lowest terms

**F.4**Fractions: word problems with graphs and tables

**F.5**Lowest common denominator

**F.6**Compare and order fractions

**F.7**Compare fractions: word problems

**F.8**Convert between mixed numbers and improper fractions

**F.9**Compare mixed numbers and improper fractions

**F.10**Round mixed numbers

**Operations with fractions**

**G.1**Add and subtract fractions

**G.2**Add and subtract fractions: word problems

**G.3**Add and subtract mixed numbers

**G.4**Add and subtract mixed numbers: word problems

**G.5**Inequalities with addition and subtraction of fractions and mixed numbers

**G.6**Estimate sums and differences of mixed numbers

**G.7**Multiply fractions and whole numbers

**G.8**Multiply two fractions using models

**G.9**Multiply fractions

**G.10**Multiply mixed numbers

**G.11**Multiply fractions and mixed numbers: word problems

**G.12**Divide whole numbers and unit fractions

**G.13**Divide fractions

**G.14**Divide mixed numbers

**G.15**Divide fractions and mixed numbers: word problems

**G.16**Estimate products and quotients of fractions and mixed numbers

**G.17**Add, subtract, multiply and divide fractions and mixed numbers: word problems

**G.18**Evaluate numerical expressions involving fractions

**Rational numbers**

**H.1**Identify rational numbers

**H.2**Convert between decimals and fractions or mixed numbers

**H.3**Compare rational numbers

**H.4**Put rational numbers in order

**H.5**Add and subtract rational numbers

**H.6**Apply addition and subtraction rules

**H.7**Multiply and divide rational numbers

**H.8**Apply multiplication and division rules

**Exponents**

**I.1**Understanding exponents

**I.2**Evaluate exponents

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

**I.4**Exponents with negative bases

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

**I.6**Evaluate numerical expressions involving exponents

**Ratios, rates and proportions**

**J.1**Understanding ratios

**J.2**Identify equivalent ratios

**J.3**Write an equivalent ratio

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

**J.5**Unit rates

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

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

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

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

**J.10**Solve proportions

**J.11**Solve proportions: word problems

**J.12**Estimate population size using proportions

**J.13**Rate of change

**J.14**Constant rate of change

**Percents**

**K.1**What percentage is illustrated?

**K.2**Convert between percents, fractions and decimals

**K.3**Compare percents to fractions and decimals

**K.4**Estimate percents of numbers

**K.5**Percents of numbers and money amounts

**K.6**Percents of numbers: word problems

**K.7**Solve percent equations

**K.8**Solve percent equations: word problems

**Consumer maths**

**L.1**Add, subtract, multiply and divide money amounts: word problems

**L.2**Price lists

**L.3**Unit prices

**L.4**Unit prices: find the total price

**L.5**Percent of a number, discount and more

**L.6**Find the percent: discount and mark-up

**L.7**Sale prices: find the original price

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

**L.9**Estimate tips

**L.10**Simple interest

**Problem solving and estimation**

**M.1**Estimate to solve word problems

**M.2**Multi-step word problems

**M.3**Guess-and-check word problems

**M.4**Use Venn diagrams to solve problems

**M.5**Find the number of each type of coin

**M.6**Elapsed time word problems

**Units of measurement**

**N.1**Estimate metric measurements

**N.2**Compare and convert metric units

**N.3**Metric mixed units

**N.4**Convert square and cubic units of length

**N.5**Convert between cubic metres and litres

**N.6**Precision

**Number sequences**

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

**O.2**Arithmetic sequences

**O.3**Geometric sequences

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

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

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

**O.7**Write variable expressions for arithmetic sequences

**Expressions and properties**

**P.1**Write variable expressions

**P.2**Write variable expressions: word problems

**P.3**Evaluate linear expressions

**P.4**Evaluate multi-variable expressions

**P.5**Evaluate absolute value expressions

**P.6**Evaluate nonlinear expressions

**P.7**Identify terms and coefficients

**P.8**Sort factors of expressions

**P.9**Properties of addition and multiplication

**P.10**Multiply using the distributive property

**P.11**Solve equations using properties

**P.12**Write equivalent expressions using properties

**P.13**Add and subtract like terms

**P.14**Add, subtract and multiply linear expressions

**P.15**Factors of linear expressions

**P.16**Identify equivalent linear expressions

**One-variable equations**

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

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

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

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

**Q.5**Solve one-step equations

**Q.6**Solve two-step equations

**Q.7**Solve equations: word problems

**Q.8**Solve equations involving like terms

**Q.9**Solve equations: complete the solution

**Two-dimensional figures**

**R.1**Identify and classify polygons

**R.2**Name, measure and classify angles

**R.3**Classify triangles

**R.4**Identify trapeziums

**R.5**Classify quadrilaterals

**R.6**Graph triangles and quadrilaterals

**R.7**Triangle angle-sum property

**R.8**Exterior angle property

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

**R.10**Interior angles of polygons

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

**R.12**Parallel, perpendicular and intersecting lines

**R.13**Identify complementary, supplementary, vertical, adjacent and congruent angles

**R.14**Find measures of complementary, supplementary, vertical and adjacent angles

**R.15**Transversal of parallel lines

**R.16**Find lengths and measures of bisected line segments and angles

**R.17**Parts of a circle

**R.18**Symmetry

**Congruence and similarity**

**S.1**Similar and congruent figures

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

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

**S.4**Side lengths and angle measures of similar figures

**S.5**Similar figures and indirect measurement

**Constructions**

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

**T.2**Construct an angle bisector

**T.3**Construct a perpendicular line

**T.4**Construct parallel lines

**T.5**Construct an equilateral triangle or regular hexagon

**Pythagoras' theorem**

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

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

**U.3**Pythagoras' theorem: word problems

**U.4**Converse of Pythagoras' theorem: is it a right triangle?

**Three-dimensional figures**

**V.1**Bases of three-dimensional figures

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

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

**Geometric measurement**

**W.1**Perimeter

**W.2**Area of rectangles and parallelograms

**W.3**Area of triangles

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

**W.5**Circles: calculate area, circumference, radius and diameter

**W.6**Circles: word problems

**W.7**Semicircles: calculate area, perimeter, radius and diameter

**W.8**Quarter circles: calculate area, perimeter and radius

**W.9**Area of compound figures with triangles, semicircles and quarter circles

**W.10**Area between two shapes

**W.11**Perimeter, area and volume: changes in scale

**Data and graphs**

**X.1**Interpret tables

**X.2**Interpret line plots

**X.3**Create line plots

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

**X.5**Create stem-and-leaf plots

**X.6**Interpret bar graphs

**X.7**Create bar graphs

**X.8**Interpret histograms

**X.9**Create histograms

**X.10**Create frequency charts

**X.11**Interpret line graphs

**X.12**Create line graphs

**Statistics**

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

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

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

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

**Probability**

**Z.1**Probability of simple events

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

**Z.3**Experimental probability

**Z.4**Make predictions

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

**Z.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

**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**

**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

**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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