###### 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