Maths

Numbers

A.1Classify numbers

A.2Compare and order rational numbers

A.3Number lines

A.4Convert between decimals and fractions

A.5Square roots

A.6Cube roots

Operations

B.1Add, subtract, multiply and divide integers

B.2Evaluate numerical expressions involving integers

B.3Evaluate variable expressions involving integers

B.4Add and subtract rational numbers

B.5Multiply and divide rational numbers

B.6Evaluate numerical expressions involving rational numbers

B.7Evaluate variable expressions involving rational numbers

Ratios, rates and proportions

C.1Identify equivalent ratios

C.2Write an equivalent ratio

C.3Unit rates

C.4Unit prices

C.5Solve proportions

C.6Solve proportions: word problems

C.7Scale drawings: word problems

Percents

D.1Convert between percents, fractions and decimals

D.2Solve percent equations

D.3Percent word problems

D.4Percent of change

D.5Percent of change: word problems

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

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

D.8Multi-step problems with percents

Measurement

E.1Convert rates and measurements

E.2Precision

E.3Greatest possible error

E.4Minimum and maximum area and volume

E.5Percent error

E.6Percent error: area and volume

Lines and angles

F.1Transversals: name angle pairs

F.2Transversals of parallel lines: find angle measures

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

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

Triangles

G.1Classify triangles

G.2Triangle angle-sum property

G.3Exterior angle property

G.4Exterior angle inequality

G.5Angle-side relationships in triangles

G.6Triangle Inequality Theorem

G.7Midsegments of triangles

G.8SSS, SAS and ASA Theorems

G.9SSS Theorem in the coordinate plane

G.10Congruency in isosceles and equilateral triangles

G.11Hypotenuse-Leg Theorem

Quadrilaterals

H.1Classify quadrilaterals

H.2Graph quadrilaterals

H.3Properties of parallelograms

H.4Proving a quadrilateral is a parallelogram

H.5Properties of rhombuses

H.6Properties of squares and rectangles

H.7Properties of trapeziums

H.8Properties of kites

H.9Review: properties of quadrilaterals

Polygons

I.1Polygon vocabulary

I.2Interior angles of polygons

I.3Exterior angles of polygons

I.4Review: interior and exterior angles of polygons

Area and perimeter

J.1Perimeter

J.2Area of rectangles and squares

J.3Area of parallelograms and triangles

J.4Area of trapeziums

J.5Area and circumference of circles

J.6Area of compound figures

J.7Area between two shapes

J.8Area and perimeter mixed review

J.9Heron's formula

Surface area and volume

K.1Introduction to surface area and volume

K.2Surface area of prisms and cylinders

K.3Surface area of cones

K.4Volume of prisms and cylinders

K.5Volume of cones

K.6Surface area and volume of spheres

K.7Surface area and volume review

Circles

L.1Parts of a circle

L.2Central angles

L.3Arc measure and arc length

L.4Area of sectors

L.5Circle measurements: mixed review

L.6Arcs and chords

L.7Tangent lines

L.8Perimeter of polygons with an inscribed circle

L.9Inscribed angles

L.10Angles in inscribed right triangles

L.11Angles in inscribed quadrilaterals

Constructions

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

M.2Construct an angle bisector

M.3Construct a congruent angle

M.4Construct an equilateral triangle or regular hexagon

Solve equations

N.1Model and solve equations using algebra tiles

N.2Write and solve equations that represent diagrams

N.3Solve one-step linear equations

N.4Solve two-step linear equations

N.5Solve advanced linear equations

N.6Solve equations with variables on both sides

N.7Solve equations: complete the solution

N.8Find the number of solutions

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

N.10Solve linear equations: word problems

N.11Solve linear equations: mixed review

Data and graphs

O.1Interpret bar graphs, line graphs and histograms

O.2Create bar graphs, line graphs and histograms

O.3Interpret pie charts

O.4Interpret stem-and-leaf plots

Problem solving

P.1Word problems: mixed review

P.2Word problems with money

P.3Consecutive integer problems

P.4Rate of travel: word problems

P.5Weighted averages: word problems

Logic

Q.1Identify hypotheses and conclusions

Q.2Counterexamples

Coordinate plane

R.1Coordinate plane review

R.2Quadrants and axes

Direct variation

S.1Identify proportional relationships

S.2Find the constant of variation

S.3Graph a proportional relationship

S.4Write direct variation equations

S.5Write and solve direct variation equations

Linear equations

T.1Identify linear equations

T.2Find the slope of a graph

T.3Find the slope from two points

T.4Find a missing coordinate using slope

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

T.6Slope-intercept form: graph an equation

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

T.8Slope-intercept form: write an equation

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

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

T.11Linear equations: solve for y

T.12Write linear equations to solve word problems

T.13Compare linear equations, graphs and tables

T.14Write equations in standard form

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

T.16Standard form: graph an equation

T.17Equations of horizontal and vertical lines

T.18Graph a horizontal or vertical line

T.19Slopes of parallel and perpendicular lines

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

Exponents

U.1Exponents with integer bases

U.2Exponents with decimal and fractional bases

U.3Negative exponents

U.4Multiplication with exponents

U.5Division with exponents

U.6Multiplication and division with exponents

U.7Power rule

U.8Evaluate expressions using properties of exponents

U.9Identify equivalent expressions involving exponents

Rational exponents

V.1Evaluate rational exponents

V.2Multiplication with rational exponents

V.3Division with rational exponents

V.4Power rule with rational exponents

V.5Simplify expressions involving rational exponents I

V.6Simplify expressions involving rational exponents II

Logarithms

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

W.2Evaluate logarithms

W.3Change of base formula

W.4Identify properties of logarithms

W.5Product property of logarithms

W.6Quotient property of logarithms

W.7Power property of logarithms

W.8Properties of logarithms: mixed review

W.9Evaluate logarithms: mixed review

Scientific notation

X.1Convert between standard and scientific notation

X.2Compare numbers written in scientific notation

X.3Multiply numbers written in scientific notation

X.4Divide numbers written in scientific notation

Monomials

Y.1Identify monomials

Y.2Multiply monomials

Y.3Divide monomials

Y.4Multiply and divide monomials

Y.5Powers of monomials

Polynomials

Z.1Polynomial vocabulary

Z.2Model polynomials with algebra tiles

Z.3Add and subtract polynomials using algebra tiles

Z.4Add and subtract polynomials

Z.5Add polynomials to find perimeter

Z.6Multiply a polynomial by a monomial

Z.7Multiply two polynomials using algebra tiles

Z.8Multiply two binomials

Z.9Multiply two binomials: special cases

Z.10Multiply polynomials

Z.11Write a polynomial from its roots

Z.12Find the roots of factorised polynomials

Factorising

AA.1HCF of monomials

AA.2Factorise out a monomial

AA.3Factorise quadratics with leading coefficient 1

AA.4Factorise quadratics with other leading coefficients

AA.5Factorise quadratics: special cases

AA.6Factorise quadratics using algebra tiles

AA.7Factorise by grouping

AA.8Factorise polynomials

Quadratic equations

BB.1Characteristics of quadratic equations

BB.2Complete a table: quadratic equations

BB.3Solve a quadratic equation using square roots

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

BB.5Solve a quadratic equation by factorising

BB.6Solve a quadratic equation using the quadratic formula

Radical expressions

CC.1Roots of integers

CC.2Roots of rational numbers

CC.3Find roots using a calculator

CC.4Nth roots

CC.5Simplify radical expressions with variables I

CC.6Simplify radical expressions with variables II

CC.7Multiply radical expressions

CC.8Divide radical expressions

CC.9Add and subtract radical expressions

CC.10Simplify radical expressions using the distributive property

CC.11Simplify radical expressions using conjugates

Rational expressions

DD.1Simplify complex fractions

DD.2Simplify rational expressions

DD.3Multiply and divide rational expressions

DD.4Divide polynomials

DD.5Add and subtract rational expressions

DD.6Solve rational equations

Probability

EE.1Theoretical probability

EE.2Experimental probability

EE.3Compound events: find the number of outcomes

EE.4Identify independent and dependent events

EE.5Probability of independent and dependent events

EE.6Factorials

EE.7Counting principle

Statistics

FF.1Mean, median, mode and range

FF.2Quartiles

FF.3Identify biased samples

FF.4Variance and standard deviation

Sentence structure

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

A.2Identify sentence fragments

A.3Identify run-on sentences

A.4Choose punctuation to avoid fragments and run-ons

A.5Is it a phrase or a clause?

A.6Identify prepositional phrases

A.7Identify appositives and appositive phrases

A.8Identify dependent and independent clauses

A.9Is the sentence simple, compound, complex or compound-complex?

A.10Combine sentences using relative clauses

Nouns

B.1Form and use plurals: review

B.2Form and use plurals of compound nouns

B.3Identify and correct errors with plural and possessive nouns

B.4Identify and correct errors with compound and joint possession

Pronouns

C.1Identify and correct errors with subject and object pronouns

C.2Subject and object pronouns review

C.3Pronouns after 'than' and 'as'

C.4Identify and correct pronoun errors with 'who'

C.5Use relative pronouns: who and whom

C.6Use relative pronouns: who, whom, whose, which and that

C.7Identify vague pronoun references

C.8Identify all of the possible antecedents

Verbs and verbals

D.1Identify transitive and intransitive verbs

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

D.3Identify and correct errors with subject-verb agreement

D.4Identify and correct errors with indefinite pronoun-verb agreement

D.5Identify and correct verb agreement with compound subjects

D.6Identify and correct inappropriate shifts in verb tense

D.7Form the progressive verb tenses

D.8Form the perfect verb tenses

D.9Identify active and passive voice

D.10Rewrite the sentence in active voice

D.11Identify participles and what they modify

D.12Identify gerunds and their functions

D.13Identify infinitives and infinitive phrases

Adjectives and adverbs

E.1Form and use comparative and superlative adjectives

E.2Good, better, best, bad, worse and worst

E.3Form and use comparative and superlative adverbs

E.4Well, better, best, badly, worse and worst

Punctuation, capitalisation and formatting

F.1Commas with direct addresses, introductory words, interjections, interrupters and antithetical phrases

F.2Commas with compound and complex sentences

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.7Semicolons, colons and commas review

F.8Use dashes

F.9Use hyphens in compound adjectives

F.10Decide whether ellipses are used appropriately

F.11Correct capitalisation errors

F.12Capitalising titles

F.13Formatting titles

F.14Formatting and capitalising titles: review

Prefixes and suffixes

G.1Word pattern analogies

G.2Word pattern sentences

G.3Words with pre-

G.4Words with re-

G.5Words with sub-

G.6Words with mis-

G.7Words with un-, dis-, in-, im- and non-

G.8Words with -ful

G.9Words with -less

G.10Words with -able and -ible

Etymologies and foreign expressions

H.1Sort words by shared Greek or Latin roots

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

H.3Use words as clues to the meanings of Greek and Latin roots

H.4Determine the meanings of Greek and Latin roots

H.5Determine the meanings of words with Greek and Latin roots

H.6Use etymologies to determine the meanings of words

H.7Use context as a clue to the meanings of foreign expressions

H.8Use the correct foreign expression

Reference skills

I.1Use dictionary entries

I.2Use dictionary definitions

I.3Use thesaurus entries

Word choice and usage

J.1Choose the word whose connotation and denotation best match the sentence

J.2Use words accurately and precisely

J.3Replace words using a thesaurus

J.4Use dictionary entries to determine correct usage

J.5Analogies

J.6Analogies: 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.2Avoid double, illogical and unclear comparisons

L.3Use the correct pair of correlative conjunctions

L.4Identify sentences with parallel structure

L.5Use parallel structure

L.6Remove redundant words or phrases

L.7Misplaced modifiers with pictures

L.8Select the misplaced or dangling modifier

L.9Are the modifiers used correctly?

Common errors

M.1Use the correct homophone

M.2Identify and correct errors with homophones

M.3Use the correct frequently confused word

M.4Identify and correct errors with frequently confused words

M.5Identify and correct errors with frequently confused pronouns and contractions

M.6Correct errors with commonly misspelled words

M.7Correct errors in everyday use

Writing process

N.1Order topics from broadest to narrowest

N.2Organise information by main idea

N.3Choose the topic sentence that best captures the main idea

N.4Identify plagiarism

Writing arguments

O.1Distinguish facts from opinions

O.2Choose the best evidence to support a claim

O.3Identify supporting evidence in a text

O.4Choose the most appropriate counterclaim for a given claim

O.5Choose the analysis that logically connects the evidence to the claim

Author's purpose and tone

P.1Which text is most formal?

P.2Compare passages for tone

P.3Identify audience and purpose

P.4Identify appeals to ethos, pathos and logos in advertisements

P.5Use appeals to ethos, pathos and logos in persuasive writing

Literary devices

Q.1Identify the narrative point of view

Q.2Use personification

Q.3Interpret figures of speech

Q.4Classify figures of speech: euphemism, hyperbole, oxymoron, paradox

Q.5Classify figures of speech: review