Year 9
Year 9 Here is a list of all of the skills students learn in year 9. These skills are organised into categories.
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.2Order of operations with integers
B.3Evaluate variable expressions involving integers
B.4Add and subtract rational numbers
B.5Multiply and divide rational numbers
B.6Order of operations with rational numbers
B.7Evaluate variable expressions involving rational numbers
Ratios and proportions
C.1Identify equivalent ratios
C.2Equivalent ratios: fill in the missing number
C.3Unit rates
C.4Unit prices
C.5Solve proportions
C.6Solve proportions: word problems
C.7Scale drawings and scale factors
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.6Simple interest
D.7Compound interest
D.8Percent of a number: GST, discount and more
D.9Find the percent: discount and mark-up
D.10Multi-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
Geometry
F.1Perimeter
F.2Area
F.3Area of compound figures
F.4Area between two shapes
F.5Interior angles of polygons
F.6Transversal of parallel lines
F.7Volume
F.8Surface area
F.9Congruent figures: side lengths and angle measures
F.10Similar figures: side lengths and angle measures
F.11Similar triangles and indirect measurement
F.12Dilations and scale factors
F.13Area and perimeter of similar figures
F.14Similar solids
F.15Volume and surface area of similar solids
F.16Perimeter, area and volume: changes in scale
F.17Pythagoras' theorem
F.18Pythagoras' theorem: word problems
F.19Converse of Pythagoras' theorem: is it a right triangle?
F.20Special right triangles
Trigonometry
G.1Trigonometric ratios: sin, cos and tan
G.2Trigonometric ratios: csc, sec and cot
G.3Find trigonometric functions of special angles
G.4Find trigonometric functions using a calculator
G.5Inverses of trigonometric functions
G.6Trigonometric ratios: find a side length
G.7Trigonometric ratios: find an angle measure
G.8Solve a right triangle
G.9Trigonometric ratios in similar right triangles
Coordinate graphs
H.1Coordinate graph review
H.2Midpoints
H.3Distance between two points
Properties
I.1Properties of addition and multiplication
I.2Distributive property
I.3Simplify variable expressions using properties
I.4Properties of equality
Variable expressions and equations
J.1Write variable expressions
J.2Simplify variable expressions involving like terms and the distributive property
J.3Write variable equations
J.4Does x satisfy the equation?
J.5Solve equations using order of operations
Solve equations
K.1Model and solve equations using algebra tiles
K.2Write and solve equations that represent diagrams
K.3Solve one-step linear equations
K.4Solve two-step linear equations
K.5Solve advanced linear equations
K.6Solve equations with variables on both sides
K.7Identities and equations with no solutions
K.8Solve linear equations: word problems
K.9Solve linear equations: mixed review
Single-variable inequalities
L.1Graph inequalities
L.2Write inequalities from graphs
L.3Identify solutions to inequalities
L.4Solve one-step linear inequalities: addition and subtraction
L.5Solve one-step linear inequalities: multiplication and division
L.6Solve one-step linear inequalities
L.7Graph solutions to one-step linear inequalities
L.8Solve two-step linear inequalities
L.9Graph solutions to two-step linear inequalities
L.10Solve advanced linear inequalities
L.11Graph solutions to advanced linear inequalities
Data and graphs
M.1Interpret bar graphs, line graphs and histograms
M.2Create bar graphs, line graphs and histograms
M.3Circle graphs
M.4Interpret stem-and-leaf plots
M.5Interpret box-and-whisker plots
M.6Interpret a scatter plot
M.7Scatter plots: line of best fit
Relations and functions
N.1Relations: convert between tables, graphs, mappings and lists of points
N.2Identify independent and dependent variables
N.3Identify functions
N.4Identify functions: vertical line test
N.5Complete a function table
N.6Evaluate function rules I
N.7Evaluate function rules II
N.8Graph a function
N.9Write a function rule: word problems
N.10Find points on a function graph
N.11Write a rule for a function table
Direct variation
O.1Identify proportional relationships
O.2Find the constant of variation
O.3Graph a proportional relationship
O.4Write direct variation equations
O.5Write and solve direct variation equations
Linear functions
P.1Identify linear functions
P.2Find the slope of a graph
P.3Find slope from two points
P.4Slope-intercept form: find slope and y-intercept
P.5Slope-intercept form: graph an equation
P.6Slope-intercept form: write an equation from a graph
P.7Slope-intercept form: write an equation
P.8Linear equations: solve for y
P.9Linear function word problems
P.10Write equations in standard form
P.11Standard form: find x- and y-intercepts
P.12Standard form: graph an equation
P.13Equations of horizontal and vertical lines
P.14Graph a horizontal or vertical line
P.15Point-slope form: graph an equation
P.16Point-slope form: write an equation from a graph
P.17Point-slope form: write an equation
P.18Slopes of parallel and perpendicular lines
P.19Write an equation for a parallel or perpendicular line
Linear inequalities
Q.1Does (x, y) satisfy the inequality?
Q.2Linear inequalities: solve for y
Q.3Graph a linear inequality in two variables
Q.4Linear inequalities: word problems
Q.5Is (x, y) a solution to the system of inequalities?
Simultaneous equations
R.1Is (x, y) a solution to the simultaneous equations?
R.2Solve simultaneous equations by graphing
R.3Solve simultaneous equations by graphing: word problems
R.4Find the number of solutions to simultaneous equations by graphing
R.5Find the number of solutions to simultaneous equations
R.6Solve simultaneous equations using substitution
R.7Solve simultaneous equations using substitution: word problems
R.8Solve simultaneous equations using elimination
R.9Solve simultaneous equations using elimination: word problems
Exponents
S.1Exponents with integer bases
S.2Exponents with decimal and fractional bases
S.3Negative exponents
S.4Multiplication with exponents
S.5Division with exponents
S.6Multiplication and division with exponents
S.7Power rule
S.8Simplify expressions involving exponents
Scientific notation
T.1Convert between standard and scientific notation
T.2Compare numbers written in scientific notation
T.3Multiply numbers written in scientific notation
T.4Divide numbers written in scientific notation
Monomials
U.1Identify monomials
U.2Multiply monomials
U.3Divide monomials
U.4Multiply and divide monomials
U.5Powers of monomials
Polynomials
V.1Polynomial vocabulary
V.2Model polynomials with algebra tiles
V.3Add and subtract polynomials using algebra tiles
V.4Add and subtract polynomials
V.5Add polynomials to find perimeter
V.6Multiply a polynomial by a monomial
V.7Multiply two polynomials using algebra tiles
V.8Multiply two binomials
V.9Multiply two binomials: special cases
V.10Multiply polynomials
Factorising
W.1GCF of monomials
W.2Factorise out a monomial
W.3Factorise quadratics with leading coefficient 1
W.4Factorise quadratics with other leading coefficients
W.5Factorise quadratics: special cases
W.6Factorise by grouping
W.7Factorise polynomials
Radical expressions
X.1Simplify radical expressions
X.2Simplify radical expressions by rationalising the denominator
X.3Multiply radical expressions
X.4Add and subtract radical expressions
X.5Simplify radical expressions using the distributive property
X.6Simplify radical expressions: mixed review
Rational functions and expressions
Y.1Simplify complex fractions
Y.2Simplify rational expressions
Y.3Multiply and divide rational expressions
Y.4Divide polynomials
Y.5Add and subtract rational expressions
Y.6Solve rational equations
Problem solving
Z.1Word problems: mixed review
Z.2Word problems with money
Z.3Consecutive integer problems
Z.4Rate of travel: word problems
Z.5Weighted averages: word problems
Probability
AA.1Theoretical probability
AA.2Experimental probability
AA.3Compound events: find the number of outcomes
AA.4Identify independent and dependent events
AA.5Probability of independent and dependent events
Statistics
BB.1Calculate mean, median, mode and range
BB.2Interpret charts to find mean, median, mode and range
BB.3Mean, median, mode and range: find the missing number
BB.4Quartiles
BB.5Identifying biased samples
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.2Order of operations with integers
B.3Evaluate variable expressions involving integers
B.4Add and subtract rational numbers
B.5Multiply and divide rational numbers
B.6Order of operations with rational numbers
B.7Evaluate variable expressions involving rational numbers
Ratios and proportions
C.1Identify equivalent ratios
C.2Equivalent ratios: fill in the missing number
C.3Unit rates
C.4Unit prices
C.5Solve proportions
C.6Solve proportions: word problems
C.7Scale drawings and scale factors
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.6Simple interest
D.7Compound interest
D.8Percent of a number: GST, discount and more
D.9Find the percent: discount and mark-up
D.10Multi-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
Geometry
F.1Perimeter
F.2Area
F.3Area of compound figures
F.4Area between two shapes
F.5Interior angles of polygons
F.6Transversal of parallel lines
F.7Volume
F.8Surface area
F.9Congruent figures: side lengths and angle measures
F.10Similar figures: side lengths and angle measures
F.11Similar triangles and indirect measurement
F.12Dilations and scale factors
F.13Area and perimeter of similar figures
F.14Similar solids
F.15Volume and surface area of similar solids
F.16Perimeter, area and volume: changes in scale
F.17Pythagoras' theorem
F.18Pythagoras' theorem: word problems
F.19Converse of Pythagoras' theorem: is it a right triangle?
F.20Special right triangles
Trigonometry
G.1Trigonometric ratios: sin, cos and tan
G.2Trigonometric ratios: csc, sec and cot
G.3Find trigonometric functions of special angles
G.4Find trigonometric functions using a calculator
G.5Inverses of trigonometric functions
G.6Trigonometric ratios: find a side length
G.7Trigonometric ratios: find an angle measure
G.8Solve a right triangle
G.9Trigonometric ratios in similar right triangles
Coordinate graphs
H.1Coordinate graph review
H.2Midpoints
H.3Distance between two points
Properties
I.1Properties of addition and multiplication
I.2Distributive property
I.3Simplify variable expressions using properties
I.4Properties of equality
Variable expressions and equations
J.1Write variable expressions
J.2Simplify variable expressions involving like terms and the distributive property
J.3Write variable equations
J.4Does x satisfy the equation?
J.5Solve equations using order of operations
Solve equations
K.1Model and solve equations using algebra tiles
K.2Write and solve equations that represent diagrams
K.3Solve one-step linear equations
K.4Solve two-step linear equations
K.5Solve advanced linear equations
K.6Solve equations with variables on both sides
K.7Identities and equations with no solutions
K.8Solve linear equations: word problems
K.9Solve linear equations: mixed review
Single-variable inequalities
L.1Graph inequalities
L.2Write inequalities from graphs
L.3Identify solutions to inequalities
L.4Solve one-step linear inequalities: addition and subtraction
L.5Solve one-step linear inequalities: multiplication and division
L.6Solve one-step linear inequalities
L.7Graph solutions to one-step linear inequalities
L.8Solve two-step linear inequalities
L.9Graph solutions to two-step linear inequalities
L.10Solve advanced linear inequalities
L.11Graph solutions to advanced linear inequalities
Data and graphs
M.1Interpret bar graphs, line graphs and histograms
M.2Create bar graphs, line graphs and histograms
M.3Circle graphs
M.4Interpret stem-and-leaf plots
M.5Interpret box-and-whisker plots
M.6Interpret a scatter plot
M.7Scatter plots: line of best fit
Relations and functions
N.1Relations: convert between tables, graphs, mappings and lists of points
N.2Identify independent and dependent variables
N.3Identify functions
N.4Identify functions: vertical line test
N.5Complete a function table
N.6Evaluate function rules I
N.7Evaluate function rules II
N.8Graph a function
N.9Write a function rule: word problems
N.10Find points on a function graph
N.11Write a rule for a function table
Direct variation
O.1Identify proportional relationships
O.2Find the constant of variation
O.3Graph a proportional relationship
O.4Write direct variation equations
O.5Write and solve direct variation equations
Linear functions
P.1Identify linear functions
P.2Find the slope of a graph
P.3Find slope from two points
P.4Slope-intercept form: find slope and y-intercept
P.5Slope-intercept form: graph an equation
P.6Slope-intercept form: write an equation from a graph
P.7Slope-intercept form: write an equation
P.8Linear equations: solve for y
P.9Linear function word problems
P.10Write equations in standard form
P.11Standard form: find x- and y-intercepts
P.12Standard form: graph an equation
P.13Equations of horizontal and vertical lines
P.14Graph a horizontal or vertical line
P.15Point-slope form: graph an equation
P.16Point-slope form: write an equation from a graph
P.17Point-slope form: write an equation
P.18Slopes of parallel and perpendicular lines
P.19Write an equation for a parallel or perpendicular line
Linear inequalities
Q.1Does (x, y) satisfy the inequality?
Q.2Linear inequalities: solve for y
Q.3Graph a linear inequality in two variables
Q.4Linear inequalities: word problems
Q.5Is (x, y) a solution to the system of inequalities?
Simultaneous equations
R.1Is (x, y) a solution to the simultaneous equations?
R.2Solve simultaneous equations by graphing
R.3Solve simultaneous equations by graphing: word problems
R.4Find the number of solutions to simultaneous equations by graphing
R.5Find the number of solutions to simultaneous equations
R.6Solve simultaneous equations using substitution
R.7Solve simultaneous equations using substitution: word problems
R.8Solve simultaneous equations using elimination
R.9Solve simultaneous equations using elimination: word problems
Exponents
S.1Exponents with integer bases
S.2Exponents with decimal and fractional bases
S.3Negative exponents
S.4Multiplication with exponents
S.5Division with exponents
S.6Multiplication and division with exponents
S.7Power rule
S.8Simplify expressions involving exponents
Scientific notation
T.1Convert between standard and scientific notation
T.2Compare numbers written in scientific notation
T.3Multiply numbers written in scientific notation
T.4Divide numbers written in scientific notation
Monomials
U.1Identify monomials
U.2Multiply monomials
U.3Divide monomials
U.4Multiply and divide monomials
U.5Powers of monomials
Polynomials
V.1Polynomial vocabulary
V.2Model polynomials with algebra tiles
V.3Add and subtract polynomials using algebra tiles
V.4Add and subtract polynomials
V.5Add polynomials to find perimeter
V.6Multiply a polynomial by a monomial
V.7Multiply two polynomials using algebra tiles
V.8Multiply two binomials
V.9Multiply two binomials: special cases
V.10Multiply polynomials
Factorising
W.1GCF of monomials
W.2Factorise out a monomial
W.3Factorise quadratics with leading coefficient 1
W.4Factorise quadratics with other leading coefficients
W.5Factorise quadratics: special cases
W.6Factorise by grouping
W.7Factorise polynomials
Radical expressions
X.1Simplify radical expressions
X.2Simplify radical expressions by rationalising the denominator
X.3Multiply radical expressions
X.4Add and subtract radical expressions
X.5Simplify radical expressions using the distributive property
X.6Simplify radical expressions: mixed review
Rational functions and expressions
Y.1Simplify complex fractions
Y.2Simplify rational expressions
Y.3Multiply and divide rational expressions
Y.4Divide polynomials
Y.5Add and subtract rational expressions
Y.6Solve rational equations
Problem solving
Z.1Word problems: mixed review
Z.2Word problems with money
Z.3Consecutive integer problems
Z.4Rate of travel: word problems
Z.5Weighted averages: word problems
Probability
AA.1Theoretical probability
AA.2Experimental probability
AA.3Compound events: find the number of outcomes
AA.4Identify independent and dependent events
AA.5Probability of independent and dependent events
Statistics
BB.1Calculate mean, median, mode and range
BB.2Interpret charts to find mean, median, mode and range
BB.3Mean, median, mode and range: find the missing number
BB.4Quartiles
BB.5Identifying biased samples