Maths

Number theory

A.1Factors

A.2Divisibility rules

A.3Prime or composite

A.4Prime factorisation

A.5Highest common factor

A.6Lowest common multiple

A.7HCF and LCM: word problems

A.8Classify numbers

Integers

B.1Integers on number lines

B.2Graph integers on horizontal and vertical number lines

B.3Compare 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.4Add and subtract three or more integers

C.5Add and subtract integers: word problems

C.6Integer multiplication and division rules

C.7Multiply and divide integers

C.8Evaluate numerical expressions involving integers

Rational numbers

D.1Identify rational and irrational numbers

D.2Write fractions in lowest terms

D.3Lowest common denominator

D.4Round decimals and mixed numbers

D.5Convert between decimals and fractions or mixed numbers

D.6Compare rational numbers

D.7Put rational numbers in order

Operations with rational numbers

E.1Reciprocals and multiplicative inverses

E.2Add and subtract rational numbers

E.3Add and subtract rational numbers: word problems

E.4Apply addition and subtraction rules

E.5Multiply and divide rational numbers

E.6Multiply and divide rational numbers: word problems

E.7Apply multiplication and division rules

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

E.9Evaluate numerical expressions involving rational numbers

Exponents and roots

F.1Understanding exponents

F.2Evaluate exponents

F.3Solve equations with variable exponents

F.4Exponents with negative bases

F.5Exponents with decimal and fractional bases

F.6Understanding negative exponents

F.7Evaluate negative exponents

F.8Multiplication with exponents

F.9Division with exponents

F.10Multiplication and division with exponents

F.11Power rule

F.12Evaluate expressions using properties of exponents

F.13Identify equivalent expressions involving exponents

F.14Square roots of perfect squares

F.15Positive and negative square roots

F.16Estimate positive and negative square roots

F.17Relationship between squares and square roots

F.18Solve equations involving squares and square roots

F.19Cube roots of perfect cubes

F.20Estimate cube roots

F.21Solve equations involving cubes and cube roots

Scientific notation

G.1Convert between standard and scientific notation

G.2Compare numbers written in scientific notation

G.3Multiply numbers written in scientific notation

G.4Divide numbers written in scientific notation

Ratios, rates and proportions

H.1Understanding ratios

H.2Identify equivalent ratios

H.3Write an equivalent ratio

H.4Equivalent ratios: word problems

H.5Unit rates

H.6Compare ratios: word problems

H.7Solve proportions: word problems

H.8Do the ratios form a proportion?

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

H.10Solve proportions

H.11Estimate population size using proportions

H.12Scale drawings: word problems

H.13Rate of change

H.14Constant rate of change

Proportional relationships

I.1Find the constant of proportionality from a table

I.2Write equations for proportional relationships from tables

I.3Identify proportional relationships by graphing

I.4Find the constant of proportionality from a graph

I.5Write equations for proportional relationships from graphs

I.6Identify proportional relationships

I.7Graph proportional relationships

I.8Interpret graphs of proportional relationships

I.9Write and solve equations for proportional relationships

Percents

J.1Convert between percents, fractions and decimals

J.2Compare percents to fractions and decimals

J.3Find what percent one number is of another

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

J.5Estimate percents of numbers

J.6Percents of numbers and money amounts

J.7Percents of numbers: word problems

J.8Compare percents of numbers

J.9Solve percent equations

J.10Percent of change

J.11Percent of change: word problems

Consumer maths

K.1Price lists

K.2Unit prices

K.3Unit prices: find the total price

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

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

K.6Sale prices: find the original price

K.7Multi-step problems with percents

K.8Estimate tips

K.9Simple interest

K.10Compound interest

Units of measurement

L.1Convert rates and measurements: metric units

L.2Metric mixed units

L.3Convert square and cubic units of length

L.4Convert between cubic metres and litres

L.5Precision

Problem solving

M.1Multi-step word problems

M.2Guess-and-check word problems

M.3Use Venn diagrams to solve problems

M.4Elapsed time word problems

Coordinate plane

N.1Points on a coordinate plane

N.2Quadrants and axes

N.3Follow directions on a coordinate plane

Two-dimensional figures

O.1Identify and classify polygons

O.2Classify triangles

O.3Identify trapeziums

O.4Classify quadrilaterals

O.5Graph triangles and quadrilaterals

O.6Properties of parallelograms

O.7Properties of rhombuses

O.8Properties of squares and rectangles

O.9Find missing angles in triangles and quadrilaterals

O.10Interior angles of polygons

O.11Lines, line segments and half lines

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

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

O.14Transversal of parallel lines

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

O.16Parts of a circle

O.17Symmetry

O.18Count lines of symmetry

O.19Draw lines of symmetry

Congruence and similarity

P.1Similar and congruent figures

P.2Side lengths and angle measures of congruent figures

P.3Congruence statements and corresponding parts

P.4Congruent triangles: SSS, SAS and ASA

P.5Side lengths and angle measures of similar figures

Constructions

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

Q.2Construct an angle bisector

Q.3Construct a congruent angle

Q.4Construct a perpendicular line

Q.5Construct parallel lines

Q.6Construct an equilateral triangle or regular hexagon

Pythagoras' theorem

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

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

R.3Pythagoras' theorem: find the perimeter

R.4Pythagoras' theorem: word problems

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

Three-dimensional figures

S.1Parts of three-dimensional figures

S.2Nets of three-dimensional figures

S.3Front, side and top view

S.4Base plans

S.5Similar solids

Geometric measurement

T.1Perimeter

T.2Area

T.3Area between two shapes

T.4Area and perimeter: word problems

T.5Circles, semicircles and quarter circles

T.6Circles: word problems

T.7Volume of prisms and cylinders

T.8Surface area of prisms and cylinders

T.9Volume and surface area of similar solids

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

Number sequences

U.1Identify arithmetic and geometric sequences

U.2Arithmetic sequences

U.3Geometric sequences

U.4Number sequences: mixed review

U.5Number sequences: word problems

U.6Evaluate variable expressions for number sequences

U.7

Write variable expressions for arithmetic sequences

Expressions and properties

V.1Write variable expressions

V.2Write variable expressions from diagrams

V.3Write variable expressions: word problems

V.4Evaluate one-variable expressions

V.5Evaluate multi-variable expressions

V.6Evaluate absolute value expressions

V.7Evaluate radical expressions

V.8Evaluate rational expressions

V.9Identify terms and coefficients

V.10Sort factors of expressions

V.11Properties of addition and multiplication

V.12Multiply using the distributive property

V.13Simplify variable expressions using properties

V.14Add and subtract like terms

V.15Add, subtract and multiply linear expressions

V.16Factors of linear expressions

V.17Identify equivalent linear expressions

One-variable equations

W.1Which x satisfies an equation?

W.2Write an equation from words

W.3Model and solve equations using algebra tiles

W.4Write and solve equations that represent diagrams

W.5Properties of equality

W.6Solve one-step equations

W.7Solve two-step equations

W.8Solve multi-step equations

W.9Solve equations involving like terms

W.10Solve equations: complete the solution

W.11Solve equations: word problems

Monomials and polynomials

X.1Identify monomials

X.2Model polynomials with algebra tiles

X.3Add and subtract polynomials using algebra tiles

X.4Add and subtract polynomials

X.5Add polynomials to find perimeter

X.6Multiply monomials

X.7Divide monomials

X.8Multiply and divide monomials

X.9Powers of monomials

X.10Square and cube roots of monomials

X.11Multiply polynomials using algebra tiles

X.12Multiply polynomials

X.13Multiply polynomials to find area

Factorising

Y.1HCF of monomials

Y.2Factorise out a monomial

Y.3Factorise quadratics with leading coefficient 1

Y.4Factorise quadratics with other leading coefficients

Y.5Factorise quadratics: special cases

Y.6Factorise quadratics using algebra tiles

Y.7Factorise by grouping

Y.8Factorise polynomials

Data and graphs

Z.1Interpret tables

Z.2Interpret bar graphs

Z.3Create bar graphs

Z.4Interpret line graphs

Z.5Create line graphs

Z.6Interpret line plots

Z.7Create line plots

Z.8Interpret stem-and-leaf plots

Z.9Create stem-and-leaf plots

Z.10Interpret histograms

Z.11Create histograms

Z.12Create frequency charts

Z.13Interpret pie charts

Z.14Pie charts and central angles

Z.15Choose the best type of graph

Statistics

AA.1Calculate mean, median, mode and range

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

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

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

Probability

BB.1Probability of simple events

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

BB.3Experimental probability

BB.4Make predictions

BB.5Compound events: find the number of outcomes

BB.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

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

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 and verbals

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

D.11Identify active and passive voice

D.12Rewrite the sentence in active voice

D.13Identify participles and what they modify

D.14Identify gerunds and their functions

D.15Identify infinitives and infinitive phrases

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