###### January 20, 2014

### Maths: Year 7 topics

Below is a list of topics you can expect your child to know by the end of year 7:

** Whole numbers**

A.1 Place values in whole numbers

A.2 Word names for numbers

A.3 Roman numerals

**Decimal numbers**

B.1 What decimal number is illustrated?

B.2 Decimal place values

B.3 Word names for decimal numbers

B.4 Convert decimals to mixed numbers

B.5 Put decimal numbers in order

B.6 Inequalities with decimals

B.7 Round decimals

B.8 Round whole numbers and decimals: find the missing digit

B.9 Decimal number lines

**Integers**

C.1 Understanding integers

C.2 Number lines with integers

C.3 Compare and order integers

**Exponents and square roots**

D.1 Write multiplication expressions using exponents

D.2 Evaluate exponents

D.3 Exponents: solve for the variable

D.4 Exponents with decimal bases

D.5 Exponents with fractional bases

D.6 Square roots of perfect squares

D.7 Estimate square roots

**Money**

E.1 Find the number of each type of coin

E.2 Add and subtract money amounts

E.3 Add and subtract money amounts: word problems

E.4 Multiply money by whole numbers

E.5 Multiply money: word problems

E.6 Divide money amounts

E.7 Divide money amounts: word problems

**Consumer maths**

F.1 Sale prices

F.2 Which is the better coupon?

F.3 Unit prices: which is the better buy?

F.4 Unit prices with fractions and decimals

F.5 Percents – calculate tip, mark-up and more

F.6 Percents – calculate VAT

F.7 Simple interest

**Add and subtract integers**

G.1 Review – add and subtract whole numbers

G.2 Review – add and subtract whole numbers: word problems

G.3 Properties of addition

G.4 Add integers – using counters

G.5 Add integers

G.6 Subtract integers – using counters

G.7 Subtract integers

G.8 Add and subtract integers – input/output tables

G.9 Add three or more integers

G.10 Integer addition and subtraction rules

**Add and subtract decimals**

H.1 Add and subtract decimal numbers

H.2 Add and subtract decimals: word problems

H.3 Estimate sums and differences of decimals

H.4 Maps with decimal distances

**Multiplication**

I.1 Multiply whole numbers

I.2 Multiply whole numbers: word problems

I.3 Multiply numbers ending in zeroes

I.4 Multiply numbers ending in zeroes: word problems

I.5 Multiply three or more numbers

I.6 Multiply three or more numbers: word problems

I.7 Estimate products

I.8 Properties of multiplication

I.9 Solve for a variable using properties of multiplication

I.10 Integer multiplication rules

I.11 Multiply integers

**Division**

J.1 Divisibility rules

J.2 Division patterns with zeroes

J.3 Divide numbers ending in zeroes: word problems

J.4 Estimate quotients

J.5 Divide whole numbers – two-digit divisors

J.6 Integer division rules

J.7 Divide integers

**Multiply and divide decimals**

K.1 Multiply a decimal by a one-digit whole number

K.2 Multiply a decimal by a multi-digit whole number

K.3 Multiply decimals and whole numbers: word problems

K.4 Multiply two decimals using grids

K.5 Multiply decimals

K.6 Estimate products of decimal numbers

K.7 Inequalities with decimal multiplication

K.8 Divide decimals by whole numbers

K.9 Divide decimals by whole numbers: word problems

K.10 Multiply and divide decimals by powers of ten

K.11 Division with decimal quotients

K.12 Inequalities with decimal division

K.13 Simplify expressions involving decimals

**Problem solving and estimation**

L.1 Estimate to solve word problems

L.2 Word problems with multiple steps or extra or missing information

L.3 Guess-and-check word problems

L.4 Distance/direction to starting point

L.5 Use logical reasoning to find the order

**Number theory**

M.1 Prime or composite

M.2 Identify factors

M.3 Prime factorisation

M.4 Prime factorisation with exponents

M.5 Greatest common factor

M.6 Least common multiple

M.7 GCF and LCM: word problems

**Algebra**

N.1 Write variable expressions to represent word problems

N.2 Simplify expressions

N.3 Evaluate variable expressions with whole numbers

N.4 Solve word problems involving two-variable equations

N.5 Evaluate variable expressions involving decimals

N.6 Solve one-step equations with whole numbers

N.7 Solve one-step equations involving decimals

N.8 Evaluate multi-variable expressions

N.9 Solve two-step equations

N.10 Complete a function table

N.11 Write linear functions

N.12 Evaluate expressions involving integers

N.13 Solve equations involving integers

N.14 Does (x, y) satisfy an equation?

N.15 Identify terms, coefficients and monomials

N.16 Add and subtract like terms

N.17 Solve equations involving like terms

**Coordinate graphs**

O.1 Coordinate graphs review

O.2 Graph points on a coordinate plane

O.3 Coordinate graphs as maps

O.4 Find points on a function graph

O.5 Graph linear functions

O.6 Relative coordinates

**Data and graphs**

P.1 Interpret pictographs

P.2 Create pictographs

P.3 Stem-and-leaf plots

P.4 Interpret line plots

P.5 Create line plots

P.6 Create frequency tables

P.7 Interpret bar graphs

P.8 Create bar graphs

P.9 Interpret double bar graphs

P.10 Create double bar graphs

P.11 Create histograms

P.12 Circle graphs with fractions

P.13 Interpret line graphs

P.14 Create line graphs

P.15 Interpret double line graphs

P.16 Create double line graphs

P.17 Choose the best type of graph

**Fractions and mixed numbers**

Q.1 Fractions and mixed numbers review

Q.2 Equivalent fractions review

Q.3 Simplify fractions

Q.4 Understanding fractions: word problems

Q.5 Least common denominator

Q.6 Compare fractions with like and unlike denominators

Q.7 Compare fractions: word problems

Q.8 Convert between improper fractions and mixed numbers

Q.9 Convert between decimals and fractions or mixed numbers

Q.10 Put a mix of decimals, fractions and mixed numbers in order

**Rational numbers**

R.1 Compare rational numbers

R.2 Put rational numbers in order

**Add and subtract fractions**

S.1 Add and subtract fractions with like denominators

S.2 Add and subtract fractions with like denominators: word problems

S.3 Add and subtract fractions with unlike denominators

S.4 Add and subtract fractions with unlike denominators: word problems

S.5 Inequalities with addition and subtraction of like and unlike fractions

S.6 Add and subtract mixed numbers

S.7 Add and subtract mixed numbers: word problems

S.8 Estimate sums and differences of mixed numbers

**Multiply fractions**

T.1 Fractions of whole numbers I

T.2 Fractions of whole numbers II

T.3 Fractions of a number: word problems

T.4 Estimate products of fractions and whole numbers

T.5 Multiply fractions – with models

T.6 Multiply two fractions

T.7 Multiply fractions: word problems

T.8 Multiply three or more fractions and whole numbers

T.9 Estimate products of fractions, whole numbers and mixed numbers

**Mixed operations**

U.1 Add, subtract, multiply and divide whole numbers

U.2 Add, subtract, multiply and divide whole numbers: word problems

U.3 Add, subtract, multiply and divide integers

U.4 Add, subtract, multiply and divide decimals

U.5 Add, subtract, multiply and divide decimals: word problems

U.6 Add, subtract and multiply fractions

U.7 Add, subtract and multiply fractions: word problems

**Measurement**

V.1 Estimate metric measurements

V.2 Convert and compare metric units

V.3 Metric mixed units

V.4 Convert square and cubic units of length

V.5 Convert between cubic metres and litres

V.6 Working with temperatures above and below zero

V.7 Estimate imperial measurements

V.8 Convert and compare imperial units

V.9 Imperial mixed units

V.10 Convert between metric and imperial units

V.11 Precision

**Time**

W.1 Elapsed time

W.2 Time units

W.3 Find start and end times

W.4 Convert between 12-hour and 24-hour time

W.5 Transportation schedules

**Geometry**

X.1 Lines, line segments and rays

X.2 Review of 2- and 3-dimensional figures

X.3 Angle review: measure and classify

X.4 Estimate angle measurements

X.5 Name angles

X.6 Complementary and supplementary angles

X.7 Transversal of parallel lines

X.8 Triangle review

X.9 Classify quadrilaterals

X.10 Find missing angles and side lengths in triangles and quadrilaterals

X.11 Sums of angles in polygons

X.12 Parts of a circle

X.13 Central angles of circles

X.14 Similar and congruent figures

X.15 Find side lengths of similar figures

X.16 Reflection, rotation and translation

X.17 Translations: graph the image

X.18 Reflections: graph the image

X.19 Rotations: graph the image

X.20 Symmetry

X.21 Perimeter

X.22 Area of figures made of unit squares

X.23 Area of squares and rectangles

X.24 Area of triangles

X.25 Area of parallelograms and trapezoids

X.26 Area of compound figures

X.27 Area between two rectangles

X.28 Area between two triangles

X.29 Area between two circles

X.30 Area and perimeter of irregular figures

X.31 Area and perimeter: word problems

X.32 Rectangles: relationship between perimeter and area

X.33 Compare area and perimeter of two figures

X.34 Identify polyhedra and count faces, edges and vertices

X.35 Which figure is being described?

X.36 Front, side and top view

X.37 Nets of 3-dimensional figures

X.38 Volume of figures made of unit cubes

X.39 Volume and surface area of cubes and rectangular prisms

X.40 Volume and surface area of triangular prisms

**Ratios, proportions and percents**

Y.1 Write a ratio to describe objects in a picture

Y.2 Ratio tables

Y.3 Ratios: word problems

Y.4 Equivalent ratios

Y.5 Compare ratios: word problems

Y.6 Proportions

Y.7 Unit rates and equivalent rates

Y.8 Scale drawings

Y.9 What percentage is illustrated?

Y.10 Convert between percents, fractions and decimals

Y.11 Compare percents to each other and to fractions

Y.12 Compare percents and fractions: word problems

Y.13 Percents of numbers and money amounts

Y.14 Percents of numbers: word problems

Y.15 Find what percent one number is of another

Y.16 Find what percent one number is of another: word problems

**Statistics**

Z.1 Calculate mean, median, mode and range

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

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

Z.4 Identify representative, random and biased samples

**Probability**

AA.1 Combinations

AA.2 Probability of one event

AA.3 Make predictions

AA.4 Probability of opposite, mutually exclusive and overlapping events

AA.5 Compound events – find the number of outcomes by counting

###### January 20, 2014

### Maths: Year 8 topics

Year 8 starts to see more complex maths, and is about the time that many students starts to struggle in maths, if they have been left behind. See below for the full list of topics you can expect your child to learn inyear 8:

**Number theory**

A.1 Prime or composite

A.2 Prime factorisation

A.3 Multiplicative inverses

A.4 Divisibility rules

A.5 Greatest common factor

A.6 Least common multiple

A.7 GCF and LCM: word problems

A.8 Scientific notation

A.9 Compare numbers written in scientific notation

A.10 Classify numbers

**Decimal numbers**

B.1 Decimal numbers review

B.2 Compare and order decimals

B.3 Decimal number lines

B.4 Round decimals

Operations with decimals

C.1 Add and subtract decimals

C.2 Add and subtract decimals: word problems

C.3 Multiply decimals

C.4 Multiply decimals and whole numbers: word problems

C.5 Divide decimals

C.6 Divide decimals by whole numbers: word problems

C.7 Multiply and divide decimals by powers of ten

C.8 Estimate sums, differences and products of decimals

C.9 Add, subtract, multiply and divide decimals: word problems

C.10 Multi-step inequalities with decimals

C.11 Maps with decimal distances

C.12 Simplify expressions involving decimals

**Integers**

D.1 Understanding integers

D.2 Integers on number lines

D.3 Absolute value and opposite integers

D.4 Compare and order integers

D.5 Integer inequalities with absolute values

**Operations with integers**

E.1 Integer addition and subtraction rules

E.2 Add and subtract integers using counters

E.3 Add and subtract integers

E.4 Complete addition and subtraction sentences with integers

E.5 Add and subtract integers: word problems

E.6 Integer multiplication and division rules

E.7 Multiply and divide integers

E.8 Complete multiplication and division sentences with integers

E.9 Simplify expressions involving integers

**Fractions and mixed numbers**

F.1 Equivalent fractions

F.2 Simplify fractions

F.3 Understanding fractions

F.4 Least common denominator

F.5 Compare and order fractions

F.6 Compare fractions: word problems

F.7 Convert between mixed numbers and improper fractions

F.8 Compare mixed numbers and improper fractions

F.9 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 fractions and whole numbers: word problems

G.9 Multiply fractions

G.10 Multiply fractions: word problems

G.11 Multiply three or more fractions and whole numbers

G.12 Divide by fractions – with models

G.13 Reciprocals

G.14 Divide fractions

G.15 Divide fractions: 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

**Rational numbers**

H.1 Identify rational numbers

H.2 Convert between decimals and fractions or mixed numbers

H.3 Absolute value of rational numbers

H.4 Compare rational numbers

H.5 Put rational numbers in order

H.6 Add and subtract rational numbers

H.7 Multiply and divide rational numbers

**Exponents and square roots**

I.1 Understanding exponents

I.2 Evaluate exponents

I.3 Exponents: solve for the variable

I.4 Exponents with negative bases

I.5 Exponents with decimal and fractional bases

I.6 Simplify expressions involving exponents

I.7 Square roots of perfect squares

I.8 Estimate square roots

**Ratios and proportions**

J.1 Understanding ratios

J.2 Equivalent ratios

J.3 Equivalent ratios: word problems

J.4 Compare ratios: word problems

J.5 Unit rates

J.6 Do the ratios form a proportion?

J.7 Do the ratios form a proportion: word problems

J.8 Solve proportions

J.9 Solve proportions: word problems

J.10 Estimate population size using proportions

J.11 Rate of change

J.12 Constant rate of change

J.13 Scale drawings and scale factors

**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: VAT, 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

L.11 Compound 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

**Measurement**

N.1 Estimate metric measurements

N.2 Compare and convert metric units

N.3 Metric mixed units

N.4 Convert between square metres and hectares

N.5 Convert square and cubic units of length

N.6 Convert between cubic metres and litres

N.7 Precision

N.8 Estimate imperial measurements

N.9 Imperial mixed units

N.10 Convert between metric and imperial units

**Data and graphs**

O.1 Interpret tables

O.2 Interpret line plots

O.3 Create line plots

O.4 Interpret stem-and-leaf plots

O.5 Interpret bar graphs

O.6 Create bar graphs

O.7 Interpret histograms

O.8 Create histograms

O.9 Create frequency charts

O.10 Interpret circle graphs

O.11 Circle graphs and central angles

O.12 Interpret line graphs

O.13 Create line graphs

O.14 Interpret box-and-whisker plots

O.15 Scatter plots

O.16 Choose the best type of graph

**Geometry**

P.1 Lines, line segments and rays

P.2 Parallel, perpendicular, intersecting

P.3 Name, measure and classify angles

P.4 Identify complementary, supplementary, vertical, adjacent and congruent angles

P.5 Find measures of complementary, supplementary, vertical and adjacent angles

P.6 Transversal of parallel lines

P.7 Classify triangles

P.8 Classify quadrilaterals

P.9 Find missing angles in triangles and quadrilaterals

P.10 Identify and classify polygons

P.11 Interior angles of polygons

P.12 Similar and congruent figures

P.13 Similar figures: side lengths and angle measures

P.14 Similar figures and indirect measurement

P.15 Congruent figures: side lengths and angle measures

P.16 Congruence statements and corresponding parts

P.17 Perimeter

P.18 Area of rectangles and parallelograms

P.19 Area of triangles and trapezoids

P.20 Area and perimeter: word problems

P.21 Parts of a circle

P.22 Circles: calculate area, circumference, radius and diameter

P.23 Circles: word problems

P.24 Find lengths and measures of bisected lines and angles

P.25 Front, side and top view

P.26 Names and bases of 3-dimensional figures

P.27 Nets of 3-dimensional figures

P.28 Surface area

P.29 Volume

P.30 Perimeter, area and volume: changes in scale

P.31 Semicircles: calculate area, perimeter, radius and diameter

P.32 Quarter circles: calculate area, perimeter and radius

P.33 Area of compound figures with triangles, semicircles and quarter circles

P.34 Area between two shapes

**Transformations**

Q.1 Identify reflections, rotations and translations

Q.2 Translations: graph the image

Q.3 Translations: find the coordinates

Q.4 Reflections: graph the image

Q.5 Reflections: find the coordinates

Q.6 Rotations: graph the image

Q.7 Rotations: find the coordinates

Q.8 Symmetry

**Coordinate graphs**

R.1 Points on coordinate graphs

R.2 Quadrants and axes

R.3 Coordinate graphs as maps

Number sequences

S.1 Identify arithmetic and geometric sequences

S.2 Arithmetic sequences

S.3 Geometric sequences

S.4 Number sequences: mixed review

S.5 Number sequences: word problems

S.6 Evaluate variable expressions for number sequences

S.7 Write variable expressions for arithmetic sequences

**Variable expressions**

T.1 Write variable expressions

T.2 Evaluate single-variable expressions I

T.3 Evaluate single-variable expressions II

T.4 Evaluate multi-variable expressions

T.5 Evaluate variable expressions for numerators and denominators

T.6 Add and subtract like terms

**Single-variable equations**

U.1 Does x satisfy the equation?

U.2 Model and solve equations using algebra tiles

U.3 Solve one-step linear equations

U.4 Solve two-step linear equations

U.5 Solve equations involving like terms

**Inequalities**

V.1 Inequalities on number lines

V.2 Solutions to variable inequalities

V.3 Solve one-step linear inequalities

V.4 Solve two-step linear inequalities

**Linear functions**

W.1 Identify proportional relationships

W.2 Find the constant of variation

W.3 Does (x, y) satisfy the equation?

W.4 Complete a function table

W.5 Write a rule for a function table

W.6 Find points on a function graph

W.7 Graph a line from a function table

W.8 Graph a line from an equation

W.9 Linear function word problems

W.10 Find the slope of a graph

W.11 Find slope from two points

W.12 Find slope from an equation

W.13 Graph a line using slope

W.14 Identify linear and nonlinear functions

**Properties**

X.1 Properties of addition and multiplication

X.2 Distributive property

X.3 Simplify variable expressions using properties

X.4 Solve equations using properties

**Probability**

Y.1 Probability of simple events

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

Y.3 Experimental probability

Y.4 Make predictions

Y.5 Compound events: find the number of outcomes

Y.6 Counting principle

**Statistics**

Z.1 Calculate mean, median, mode and range

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

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

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

Z.5 Identify representative, random and biased samples

###### January 20, 2014

### Maths: Year 9 topics

Here is a list of what your child should be learning in year 9 – Geek School students cover this and more:

**Number theory**

A.1 Factors

A.2 Divisibility rules

A.3 Prime or composite

A.4 Prime factorisation

A.5 Greatest common factor

A.6 Least common multiple

A.7 GCF and LCM: word problems

A.8 Classify numbers

**Integers**

B.1 Integers on number lines

B.2 Absolute value and opposite integers

B.3 Compare and order integers

B.4 Integer inequalities with absolute values

**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 Simplify expressions involving integers and absolute values

C.9 Evaluate variable expressions with integers and absolute values

**Rational numbers**

D.1 Identify rational and irrational numbers

D.2 Simplify fractions

D.3 Least common denominator

D.4 Round decimals and mixed numbers

D.5 Absolute value of rational numbers

D.6 Convert between decimals and fractions or mixed numbers

D.7 Compare rational numbers

D.8 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 Multiply and divide rational numbers

E.5 Multiply and divide rational numbers: word problems

E.6 Simplify expressions involving rational numbers

E.7 Evaluate variable expressions involving rational numbers

**Exponents and roots**

F.1 Understanding exponents

F.2 Evaluate exponents

F.3 Exponents: solve for the variable

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 Simplify expressions involving exponents

F.13 Square roots of perfect squares

F.14 Positive and negative square roots

F.15 Estimate positive and negative square roots

F.16 Relationship between squares and square roots

F.17 Evaluate variable expressions involving squares and square roots

F.18 Cube roots of perfect cubes

F.19 Estimate cube roots

**Scientific notation**

G.1 Convert between standard and scientific notation

G.2 Compare numbers written in scientific notation

**Ratios and proportions**

H.1 Understanding ratios

H.2 Equivalent ratios

H.3 Equivalent ratios: word problems

H.4 Compare ratios: word problems

H.5 Unit rates

H.6 Do the ratios form a proportion?

H.7 Do the ratios form a proportion: word problems

H.8 Solve proportions

H.9 Solve proportions: word problems

H.10 Estimate population size using proportions

H.11 Rate of change

H.12 Constant rate of change

H.13 Scale drawings and scale factors

Proportional relationships

I.1 Identify proportional relationships

I.2 Find the constant of variation: graphs

I.3 Find the constant of variation: word problems

I.4 Graph a proportional relationship

I.5 Write an equation for a proportional relationship

I.6 Proportional relationships: word problems

**Percentages**

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

**Problem solving**

L.1 Multi-step word problems

L.2 Guess-and-check word problems

L.3 Use Venn diagrams to solve problems

L.4 Elapsed time word problems

**Data and graphs**

M.1 Interpret tables

M.2 Interpret bar graphs

M.3 Create bar graphs

M.4 Interpret line graphs

M.5 Create line graphs

M.6 Interpret line plots

M.7 Create line plots

M.8 Interpret stem-and-leaf plots

M.9 Interpret histograms

M.10 Create histograms

M.11 Create frequency charts

M.12 Interpret box-and-whisker plots

M.13 Scatter plots

M.14 Interpret circle graphs

M.15 Circle graphs and central angles

M.16 Choose the best type of graph

**Pythagorean theorem**

N.1 Pythagorean theorem: find the length of the hypotenuse

N.2 Pythagorean theorem: find the missing leg length

N.3 Pythagorean theorem: find the perimeter

N.4 Pythagorean theorem: word problems

N.5 Converse of the Pythagorean theorem: is it a right triangle?

**Coordinate graphs**

O.1 Points on coordinate graphs

O.2 Quadrants and axes

O.3 Coordinate graphs as maps

O.4 Distance between two points

**Geometry**

P.1 Identify complementary, supplementary, vertical, adjacent and congruent angles

P.2 Find measures of complementary, supplementary, vertical and adjacent angles

P.3 Transversal of parallel lines

P.4 Classify triangles

P.5 Classify quadrilaterals

P.6 Find missing angles in triangles and quadrilaterals

P.7 Identify and classify polygons

P.8 Interior angles of polygons

P.9 Similar and congruent figures

P.10 Similar figures: side lengths and angle measures

P.11 Congruent figures: side lengths and angle measures

P.12 Congruence statements and corresponding parts

P.13 Congruent triangles: SSS, SAS and ASA

P.14 Perimeter

P.15 Area

P.16 Area and perimeter: word problems

P.17 Area between two shapes

P.18 Parts of a circle

P.19 Circles, semicircles and quarter circles

P.20 Circles: word problems

P.21 Find lengths and measures of bisected lines and angles

P.22 Front, side and top view

P.23 Base plans

P.24 Names and parts of 3-dimensional figures

P.25 Nets of 3-dimensional figures

P.26 Surface area of prisms and cylinders

P.27 Volume

P.28 Similar solids

P.29 Volume and surface area of similar solids

P.30 Perimeter, area and volume: changes in scale

**Transformations**

Q.1 Identify reflections, rotations and translations

Q.2 Translations: graph the image

Q.3 Translations: find the coordinates

Q.4 Reflections: graph the image

Q.5 Reflections: find the coordinates

Q.6 Rotations: graph the image

Q.7 Rotations: find the coordinates

Q.8 Dilations: graph the image

Q.9 Dilations: find the coordinates

Q.10 Dilations: scale factor and classification

Q.11 Symmetry

**Measurement**

R.1 Convert rates and measurements: metric units

R.2 Metric mixed units

R.3 Convert between square metres and hectares

R.4 Convert square and cubic units of length

R.5 Convert between cubic metres and litres

R.6 Precision

R.7 Imperial mixed units

R.8 Convert between metric and imperial units

**Number sequences**

S.1 Identify arithmetic and geometric sequences

S.2 Arithmetic sequences

S.3 Geometric sequences

S.4 Number sequences: mixed review

S.5 Number sequences: word problems

S.6 Evaluate variable expressions for number sequences

S.7 Write variable expressions for arithmetic sequences

**Variable expressions**

T.1 Write variable expressions

T.2 Write variable expressions to represent diagrams

T.3 Identify terms and coefficients

T.4 Evaluate single-variable expressions

T.5 Evaluate multi-variable expressions

T.6 Add and subtract like terms

T.7 Simplify variable expressions

**Single-variable equations**

U.1 Does x satisfy the equation?

U.2 Model and solve equations using algebra tiles

U.3 Write and solve equations that represent diagrams

U.4 Solve one-step linear equations

U.5 Solve two-step linear equations

U.6 Solve equations involving squares and square roots

U.7 Solve multi-step equations

U.8 Solve equations involving like terms

**Linear functions**

V.1 Does (x, y) satisfy the linear equation?

V.2 Complete a function table

V.3 Write a rule for a function table

V.4 Find points on a function graph

V.5 Graph a line from a function table

V.6 Graph a line from an equation

V.7 Linear function word problems

V.8 Find the slope of a graph

V.9 Find slope from two points

V.10 Find slope from an equation

V.11 Graph a line using slope

V.12 Slopes of parallel and perpendicular lines

**Nonlinear functions**

W.1 Identify linear and nonlinear functions

W.2 Does (x, y) satisfy a nonlinear equation?

**Inequalities**

X.1 Inequalities on number lines

X.2 Solutions to variable inequalities

X.3 Solve one-step linear inequalities

X.4 Solve two-step linear inequalities

X.5 Solve advanced linear inequalities

**Monomials and polynomials**

Y.1 Identify monomials

Y.2 Model polynomials with algebra tiles

Y.3 Add and subtract polynomials using algebra tiles

Y.4 Add and subtract polynomials

Y.5 Add polynomials to find perimeter

Y.6 Multiply monomials

Y.7 Divide monomials

Y.8 Multiply and divide monomials

Y.9 Powers of monomials

Y.10 Square and cube roots of monomials

Y.11 Multiply polynomials using algebra tiles

Y.12 Multiply polynomials

Y.13 Multiply polynomials to find area

**Properties**

Z.1 Properties of addition and multiplication

Z.2 Distributive property

Z.3 Simplify variable expressions using properties

Z.4 Properties of equality

**Probability**

AA.1 Probability of simple events

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

AA.3 Experimental probability

AA.4 Make predictions

AA.5 Compound events: find the number of outcomes

AA.6 Identify independent and dependent events

AA.7 Probability of independent and dependent events

AA.8 Counting principle

**Statistics**

BB.1 Calculate mean, median, mode and range

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

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

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

BB.5 Quartiles

BB.6 Identify representative, random and biased samples