Maths

Number theory

A.1Prime or composite

A.2Prime factorisation

A.3Multiplicative inverses

A.4Divisibility rules

A.5Highest common factor

A.6Lowest common multiple

A.7HCF and LCM: word problems

A.8Scientific notation

A.9Compare numbers written in scientific notation

A.10Classify numbers

Integers

B.1Understanding integers

B.2Integers on number lines

B.3Graph integers on horizontal and vertical number lines

B.4Absolute value and opposite integers

B.5Compare and order integers

Operations with integers

C.1Integer addition and subtraction rules

C.2Add and subtract integers using counters

C.3Add and subtract integers

C.4Complete addition and subtraction sentences with integers

C.5Add and subtract integers: word problems

C.6Integer multiplication and division rules

C.7Multiply and divide integers

C.8Complete multiplication and division sentences with integers

C.9Evaluate numerical expressions involving integers

Decimals

D.1Decimal numbers review

D.2Compare and order decimals

D.3Decimal number lines

D.4Round decimals

Operations with decimals

E.1Add and subtract decimals

E.2Add and subtract decimals: word problems

E.3Multiply decimals

E.4Multiply decimals and whole numbers: word problems

E.5Divide decimals

E.6Divide decimals by whole numbers: word problems

E.7Estimate sums, differences and products of decimals

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

E.9Multi-step inequalities with decimals

E.10Maps with decimal distances

E.11Evaluate numerical expressions involving decimals

Fractions and mixed numbers

F.1Understanding fractions: word problems

F.2Equivalent fractions

F.3Write fractions in lowest terms

F.4Fractions: word problems with graphs and tables

F.5Lowest common denominator

F.6Compare and order fractions

F.7Compare fractions: word problems

F.8Convert between mixed numbers and improper fractions

F.9Compare mixed numbers and improper fractions

F.10Round mixed numbers

Operations with fractions

G.1Add and subtract fractions

G.2Add and subtract fractions: word problems

G.3Add and subtract mixed numbers

G.4Add and subtract mixed numbers: word problems

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

G.6Estimate sums and differences of mixed numbers

G.7Multiply fractions and whole numbers

G.8Multiply two fractions using models

G.9Multiply fractions

G.10Multiply mixed numbers

G.11Multiply fractions and mixed numbers: word problems

G.12Divide whole numbers and unit fractions

G.13Divide fractions

G.14Divide mixed numbers

G.15Divide fractions and mixed numbers: word problems

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

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

G.18Evaluate numerical expressions involving fractions

Rational numbers

H.1Identify rational numbers

H.2Convert between decimals and fractions or mixed numbers

H.3Compare rational numbers

H.4Put rational numbers in order

H.5Add and subtract rational numbers

H.6Apply addition and subtraction rules

H.7Multiply and divide rational numbers

H.8Apply multiplication and division rules

Exponents

I.1Understanding exponents

I.2Evaluate exponents

I.3Solve equations with variable exponents

I.4Exponents with negative bases

I.5Exponents with decimal and fractional bases

I.6Evaluate numerical expressions involving exponents

Ratios, rates and proportions

J.1Understanding ratios

J.2Identify equivalent ratios

J.3Write an equivalent ratio

J.4Equivalent ratios: word problems

J.5Unit rates

J.6Compare ratios: word problems

J.7Scale drawings: word problems

J.8Do the ratios form a proportion?

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

J.10Solve proportions

J.11Solve proportions: word problems

J.12Estimate population size using proportions

J.13Rate of change

J.14Constant rate of change

Percents

K.1What percentage is illustrated?

K.2Convert between percents, fractions and decimals

K.3Compare percents to fractions and decimals

K.4Estimate percents of numbers

K.5Percents of numbers and money amounts

K.6Percents of numbers: word problems

K.7Solve percent equations

K.8Solve percent equations: word problems

Consumer maths

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

L.2Price lists

L.3Unit prices

L.4Unit prices: find the total price

L.5Percent of a number, discount and more

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

L.7Sale prices: find the original price

L.8Multi-step problems with percents

L.9Estimate tips

L.10Simple interest

Problem solving and estimation

M.1Estimate to solve word problems

M.2Multi-step word problems

M.3Guess-and-check word problems

M.4Use Venn diagrams to solve problems

M.5Find the number of each type of coin

M.6Elapsed time word problems

Units of measurement

N.1Estimate metric measurements

N.2Compare and convert metric units

N.3Metric mixed units

N.4Convert square and cubic units of length

N.5Convert between cubic metres and litres

N.6Precision

Number sequences

O.1Identify arithmetic and geometric sequences

O.2Arithmetic sequences

O.3Geometric sequences

O.4Number sequences: mixed review

O.5Number sequences: word problems

O.6Evaluate variable expressions for number sequences

O.7Write variable expressions for arithmetic sequences

Expressions and properties

P.1Write variable expressions

P.2Write variable expressions: word problems

P.3Evaluate linear expressions

P.4Evaluate multi-variable expressions

P.5Evaluate absolute value expressions

P.6Evaluate nonlinear expressions

P.7Identify terms and coefficients

P.8Sort factors of expressions

P.9Properties of addition and multiplication

P.10Multiply using the distributive property

P.11Solve equations using properties

P.12Write equivalent expressions using properties

P.13Add and subtract like terms

P.14Add, subtract and multiply linear expressions

P.15Factors of linear expressions

P.16Identify equivalent linear expressions

One-variable equations

Q.1Which x satisfies an equation?

Q.2Write an equation from words

Q.3Model and solve equations using algebra tiles

Q.4Write and solve equations that represent diagrams

Q.5Solve one-step equations

Q.6Solve two-step equations

Q.7Solve equations: word problems

Q.8Solve equations involving like terms

Q.9Solve equations: complete the solution

Two-dimensional figures

R.1Identify and classify polygons

R.2Name, measure and classify angles

R.3Classify triangles

R.4Identify trapeziums

R.5Classify quadrilaterals

R.6Graph triangles and quadrilaterals

R.7Triangle angle-sum property

R.8Exterior angle property

R.9Find missing angles in triangles and quadrilaterals

R.10Interior angles of polygons

R.11Lines, line segments and half lines

R.12Parallel, perpendicular and intersecting lines

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

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

R.15Transversal of parallel lines

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

R.17Parts of a circle

R.18Symmetry

Congruence and similarity

S.1Similar and congruent figures

S.2Side lengths and angle measures of congruent figures

S.3Congruence statements and corresponding parts

S.4Side lengths and angle measures of similar figures

S.5Similar figures and indirect measurement

Constructions

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

T.2Construct an angle bisector

T.3Construct a perpendicular line

T.4Construct parallel lines

T.5Construct an equilateral triangle or regular hexagon

Pythagoras' theorem

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

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

U.3Pythagoras' theorem: word problems

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

Three-dimensional figures

V.1Bases of three-dimensional figures

V.2Nets of three-dimensional figures

V.3Front, side and top view

Geometric measurement

W.1Perimeter

W.2Area of rectangles and parallelograms

W.3Area of triangles

W.4Area and perimeter: word problems

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

W.6Circles: word problems

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

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

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

W.10Area between two shapes

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

Data and graphs

X.1Interpret tables

X.2Interpret line plots

X.3Create line plots

X.4Interpret stem-and-leaf plots

X.5Create stem-and-leaf plots

X.6Interpret bar graphs

X.7Create bar graphs

X.8Interpret histograms

X.9Create histograms

X.10Create frequency charts

X.11Interpret line graphs

X.12Create line graphs

Statistics

Y.1Calculate mean, median, mode and range

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

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

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

Probability

Z.1Probability of simple events

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

Z.3Experimental probability

Z.4Make predictions

Z.5Compound events: find the number of outcomes

Z.6Counting principle

Sentence structure

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

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

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

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

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

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

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

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

A.9Is it a phrase or a clause?

A.10Identify prepositional phrases

A.11Identify appositives and appositive phrases

A.12Identify dependent and independent clauses

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

A.14Combine sentences using relative clauses

Nouns

B.1Form and use plurals: review

B.2Form and use plurals of compound nouns

B.3Identify plurals, singular possessives and plural possessives

B.4Form the singular or plural possessive

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

Pronouns

C.1Identify pronouns and their antecedents

C.2Use the pronoun that agrees with the antecedent

C.3Choose between subject and object pronouns

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

C.5Compound subjects and objects with pronouns

C.6Choose between personal and reflexive pronouns

C.7Use reflexive pronouns

C.8Is the pronoun reflexive or intensive?

C.9Use relative pronouns: who and whom

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

C.11Identify vague pronoun references

C.12Identify all of the possible antecedents

Verbs

D.1Identify transitive and intransitive verbs

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

D.3Correct errors with subject-verb agreement

D.4Correct errors with indefinite pronoun-verb agreement

D.5Use the correct verb – with compound subjects

D.6Irregular past tense: review

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

D.8Identify and correct inappropriate shifts in verb tense

D.9Form the progressive verb tenses

D.10Form the perfect verb tenses

Adjectives and adverbs

E.1Identify adjectives

E.2Order adjectives

E.3Identify adverbs

E.4Choose between adjectives and adverbs

E.5Is the word an adjective or adverb?

E.6Form and use comparative and superlative adjectives

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

E.8Form and use comparative and superlative adverbs

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

Punctuation, capitalisation and formatting

F.1Commas with compound and complex sentences

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

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.7Use dashes

F.8Use hyphens in compound adjectives

F.9Decide whether ellipses are used appropriately

F.10Correct capitalisation errors

F.11Capitalising titles

F.12Formatting titles

F.13Formatting and capitalising titles: review

Prefixes and suffixes

G.1Words with pre-

G.2Words with re-

G.3Words with sub-

G.4Words with mis-

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

G.6Words with -ful

G.7Words with -less

G.8Words with -able and -ible

Greek and Latin roots

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

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

H.3Determine the meanings of Greek and Latin roots

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

Reference skills

I.1Alphabetical order

I.2Use guide words

I.3Use dictionary entries

I.4Use dictionary definitions

I.5Use thesaurus entries

Word relationships and usage

J.1Choose the synonym

J.2Choose the antonym

J.3Describe the difference between related words

J.4Positive and negative connotation

J.5Use the correct homophone

J.6Use the correct frequently confused word

J.7Correct errors with frequently confused words

J.8Analogies

J.9Analogies: 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.2Use the correct pair of correlative conjunctions

L.3Use parallel structure

L.4Remove redundant words or phrases

L.5Misplaced modifiers with pictures

L.6Select the misplaced or dangling modifier

L.7Are the modifiers used correctly?

Author's purpose and tone

M.1Which sentence is more formal?

Literary devices

N.1Use personification

N.2Interpret figures of speech

N.3Classify figures of speech