Year 8
Year 8Here is a list of all of the skills students learn in year 8. These skills are organised into categories.
Number theory
A.1Factors
A.2Divisibility rules
A.3Prime or composite
A.4Prime factorisation
A.5Greatest common factor
A.6Least common multiple
A.7GCF and LCM: word problems
A.8Classify numbers
A.9Scientific notation
Integers
B.1Integers on number lines
B.2Absolute value and opposite integers
B.3Compare and order integers
B.4Integer inequalities with absolute values
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.8Simplify expressions involving integers and absolute values
C.9Evaluate variable expressions with integers and absolute values
Rational numbers
D.1Identify rational and irrational numbers
D.2Simplify fractions
D.3Least common denominator
D.4Round decimals and mixed numbers
D.5Absolute value of rational numbers
D.6Convert between decimals and fractions or mixed numbers
D.7Repeating decimals
D.8Compare rational numbers
D.9Put 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.4Multiply and divide rational numbers
E.5Multiply and divide rational numbers: word problems
E.6Simplify expressions involving rational numbers
E.7Evaluate variable expressions involving rational numbers
Exponents and roots
F.1Understanding exponents
F.2Evaluate exponents
F.3Exponents: solve for the variable
F.4Exponents with negative bases
F.5Exponents with decimal and fractional bases
F.6Square roots of perfect squares
F.7Estimate square roots
F.8Relationship between squares and square roots
F.9Evaluate variable expressions involving squares and square roots
F.10Cube roots of perfect cubes
F.11Estimate cube roots
Ratios and proportions
G.1Understanding ratios
G.2Equivalent ratios
G.3Equivalent ratios: word problems
G.4Compare ratios: word problems
G.5Unit rates
G.6Do the ratios form a proportion?
G.7Do the ratios form a proportion: word problems
G.8Solve proportions
G.9Solve proportions: word problems
G.10Estimate population size using proportions
G.11Rate of change
G.12Constant rate of change
G.13Scale drawings and scale factors
Proportional relationships
H.1Identify proportional relationships
H.2Find the constant of variation: graphs
H.3Find the constant of variation: word problems
H.4Graph a proportional relationship
H.5Write an equation for a proportional relationship
H.6Proportional relationships: word problems
Percents
I.1Convert between percents, fractions and decimals
I.2Compare percents to fractions and decimals
I.3Find what percent one number is of another
I.4Find what percent one number is of another: word problems
I.5Estimate percents of numbers
I.6Percents of numbers and money amounts
I.7Percents of numbers: word problems
I.8Compare percents of numbers
I.9Solve percent equations
I.10Percent of change
I.11Percent of change: word problems
Consumer maths
J.1Price lists
J.2Unit prices
J.3Unit prices: find the total price
J.4Percent of a number: GST, discount and more
J.5Find the percent: discount and mark-up
J.6Sale prices: find the original price
J.7Multi-step problems with percents
J.8Simple interest
J.9Compound interest
Problem solving
K.1Multi-step word problems
K.2Guess-and-check word problems
K.3Use Venn diagrams to solve problems
K.4Elapsed time word problems
Data and graphs
L.1Interpret tables
L.2Interpret bar graphs
L.3Create bar graphs
L.4Interpret line graphs
L.5Create line graphs
L.6Interpret line plots
L.7Create line plots
L.8Interpret stem-and-leaf plots
L.9Interpret histograms
L.10Create histograms
L.11Create frequency charts
L.12Interpret box-and-whisker plots
L.13Scatter plots
L.14Interpret circle graphs
L.15Circle graphs and central angles
L.16Choose the best type of graph
Pythagorean theorem
M.1Pythagoras' theorem: find the length of the hypotenuse
M.2Pythagoras' theorem: find the missing leg length
M.3Pythagoras' theorem: find the perimeter
M.4Pythagoras' theorem: word problems
M.5Converse of Pythagoras' theorem: is it a right triangle?
Coordinate graphs
N.1Points on coordinate graphs
N.2Quadrants and axes
N.3Coordinate graphs as maps
N.4Distance between two points
Geometry
O.1Identify complementary, supplementary, vertical, adjacent and congruent angles
O.2Find measures of complementary, supplementary, vertical and adjacent angles
O.3Transversal of parallel lines
O.4Classify triangles
O.5Classify quadrilaterals
O.6Find missing angles in triangles and quadrilaterals
O.7Identify and classify polygons
O.8Interior angles of polygons
O.9Similar and congruent figures
O.10Similar figures: side lengths and angle measures
O.11Congruent figures: side lengths and angle measures
O.12Congruence statements and corresponding parts
O.13Congruent triangles: SSS, SAS and ASA
O.14Perimeter
O.15Area
O.16Area between two shapes
O.17Area and perimeter: word problems
O.18Parts of a circle
O.19Circles, semicircles and quarter circles
O.20Circles: word problems
O.21Find lengths and measures of bisected lines and angles
O.22Front, side and top view
O.23Base plans
O.24Names and parts of 3-dimensional figures
O.25Nets of 3-dimensional figures
O.26Surface area of prisms
O.27Volume of prisms
O.28Similar solids
O.29Volume and surface area of similar solids
O.30Perimeter, area and volume: changes in scale
Transformations
P.1Identify reflections, rotations and translations
P.2Translations: graph the image
P.3Translations: find the coordinates
P.4Reflections: graph the image
P.5Reflections: find the coordinates
P.6Rotations: graph the image
P.7Rotations: find the coordinates
P.8Dilations: graph the image
P.9Dilations: find the coordinates
P.10Dilations: scale factor and classification
P.11Symmetry
Measurement
Q.1Convert rates and measurements: metric units
Q.2Metric mixed units
Q.3Convert between square metres and hectares
Q.4Convert square and cubic units of length
Q.5Convert between cubic metres and litres
Q.6Precision
Number sequences
R.1Identify arithmetic and geometric sequences
R.2Arithmetic sequences
R.3Geometric sequences
R.4Number sequences: mixed review
R.5Number sequences: word problems
R.6Evaluate variable expressions for number sequences
R.7Write variable expressions for arithmetic sequences
Variable expressions
S.1Write variable expressions
S.2Write variable expressions to represent diagrams
S.3Identify terms and coefficients
S.4Evaluate single-variable expressions
S.5Evaluate multi-variable expressions
S.6Add and subtract like terms
S.7Simplify variable expressions
Single-variable equations
T.1Does x satisfy the equation?
T.2Model and solve equations using algebra tiles
T.3Write and solve equations that represent diagrams
T.4Solve one-step linear equations
T.5Solve two-step linear equations
T.6Solve equations involving squares and square roots
T.7Solve multi-step equations
T.8Solve equations involving like terms
Linear functions
U.1Does (x, y) satisfy the linear equation?
U.2Complete a function table
U.3Write a rule for a function table
U.4Find points on a function graph
U.5Graph a line from a function table
U.6Graph a line from an equation
U.7Linear function word problems
Inequalities
V.1Inequalities on number lines
V.2Solutions to variable inequalities
V.3Solve one-step linear inequalities
V.4Solve two-step linear inequalities
V.5Solve advanced linear inequalities
Monomials and polynomials
W.1Identify monomials
W.2Model polynomials with algebra tiles
W.3Add and subtract polynomials using algebra tiles
W.4Add and subtract polynomials
W.5Add polynomials to find perimeter
W.6Multiply monomials
W.7Divide monomials
W.8Multiply and divide monomials
W.9Multiply polynomials using algebra tiles
W.10Multiply polynomials
W.11Multiply polynomials to find area
W.12Factorise out a monomial
Properties
X.1Properties of addition and multiplication
X.2Distributive property
X.3Simplify variable expressions using properties
X.4Properties of equality
Probability
Y.1Probability of simple events
Y.2Probability of opposite, mutually exclusive and overlapping events
Y.3Experimental probability
Y.4Make predictions
Y.5Compound events: find the number of outcomes
Y.6Identify independent and dependent events
Y.7Counting principle
Statistics
Z.1Calculate mean, median, mode and range
Z.2Interpret charts to find mean, median, mode and range
Z.3Mean, median, mode and range: find the missing number
Z.4Changes in mean, median, mode and range
Z.5Identify representative, random and biased samples
Number theory
A.1Factors
A.2Divisibility rules
A.3Prime or composite
A.4Prime factorisation
A.5Greatest common factor
A.6Least common multiple
A.7GCF and LCM: word problems
A.8Classify numbers
A.9Scientific notation
Integers
B.1Integers on number lines
B.2Absolute value and opposite integers
B.3Compare and order integers
B.4Integer inequalities with absolute values
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.8Simplify expressions involving integers and absolute values
C.9Evaluate variable expressions with integers and absolute values
Rational numbers
D.1Identify rational and irrational numbers
D.2Simplify fractions
D.3Least common denominator
D.4Round decimals and mixed numbers
D.5Absolute value of rational numbers
D.6Convert between decimals and fractions or mixed numbers
D.7Repeating decimals
D.8Compare rational numbers
D.9Put 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.4Multiply and divide rational numbers
E.5Multiply and divide rational numbers: word problems
E.6Simplify expressions involving rational numbers
E.7Evaluate variable expressions involving rational numbers
Exponents and roots
F.1Understanding exponents
F.2Evaluate exponents
F.3Exponents: solve for the variable
F.4Exponents with negative bases
F.5Exponents with decimal and fractional bases
F.6Square roots of perfect squares
F.7Estimate square roots
F.8Relationship between squares and square roots
F.9Evaluate variable expressions involving squares and square roots
F.10Cube roots of perfect cubes
F.11Estimate cube roots
Ratios and proportions
G.1Understanding ratios
G.2Equivalent ratios
G.3Equivalent ratios: word problems
G.4Compare ratios: word problems
G.5Unit rates
G.6Do the ratios form a proportion?
G.7Do the ratios form a proportion: word problems
G.8Solve proportions
G.9Solve proportions: word problems
G.10Estimate population size using proportions
G.11Rate of change
G.12Constant rate of change
G.13Scale drawings and scale factors
Proportional relationships
H.1Identify proportional relationships
H.2Find the constant of variation: graphs
H.3Find the constant of variation: word problems
H.4Graph a proportional relationship
H.5Write an equation for a proportional relationship
H.6Proportional relationships: word problems
Percents
I.1Convert between percents, fractions and decimals
I.2Compare percents to fractions and decimals
I.3Find what percent one number is of another
I.4Find what percent one number is of another: word problems
I.5Estimate percents of numbers
I.6Percents of numbers and money amounts
I.7Percents of numbers: word problems
I.8Compare percents of numbers
I.9Solve percent equations
I.10Percent of change
I.11Percent of change: word problems
Consumer maths
J.1Price lists
J.2Unit prices
J.3Unit prices: find the total price
J.4Percent of a number: GST, discount and more
J.5Find the percent: discount and mark-up
J.6Sale prices: find the original price
J.7Multi-step problems with percents
J.8Simple interest
J.9Compound interest
Problem solving
K.1Multi-step word problems
K.2Guess-and-check word problems
K.3Use Venn diagrams to solve problems
K.4Elapsed time word problems
Data and graphs
L.1Interpret tables
L.2Interpret bar graphs
L.3Create bar graphs
L.4Interpret line graphs
L.5Create line graphs
L.6Interpret line plots
L.7Create line plots
L.8Interpret stem-and-leaf plots
L.9Interpret histograms
L.10Create histograms
L.11Create frequency charts
L.12Interpret box-and-whisker plots
L.13Scatter plots
L.14Interpret circle graphs
L.15Circle graphs and central angles
L.16Choose the best type of graph
Pythagorean theorem
M.1Pythagoras' theorem: find the length of the hypotenuse
M.2Pythagoras' theorem: find the missing leg length
M.3Pythagoras' theorem: find the perimeter
M.4Pythagoras' theorem: word problems
M.5Converse of Pythagoras' theorem: is it a right triangle?
Coordinate graphs
N.1Points on coordinate graphs
N.2Quadrants and axes
N.3Coordinate graphs as maps
N.4Distance between two points
Geometry
O.1Identify complementary, supplementary, vertical, adjacent and congruent angles
O.2Find measures of complementary, supplementary, vertical and adjacent angles
O.3Transversal of parallel lines
O.4Classify triangles
O.5Classify quadrilaterals
O.6Find missing angles in triangles and quadrilaterals
O.7Identify and classify polygons
O.8Interior angles of polygons
O.9Similar and congruent figures
O.10Similar figures: side lengths and angle measures
O.11Congruent figures: side lengths and angle measures
O.12Congruence statements and corresponding parts
O.13Congruent triangles: SSS, SAS and ASA
O.14Perimeter
O.15Area
O.16Area between two shapes
O.17Area and perimeter: word problems
O.18Parts of a circle
O.19Circles, semicircles and quarter circles
O.20Circles: word problems
O.21Find lengths and measures of bisected lines and angles
O.22Front, side and top view
O.23Base plans
O.24Names and parts of 3-dimensional figures
O.25Nets of 3-dimensional figures
O.26Surface area of prisms
O.27Volume of prisms
O.28Similar solids
O.29Volume and surface area of similar solids
O.30Perimeter, area and volume: changes in scale
Transformations
P.1Identify reflections, rotations and translations
P.2Translations: graph the image
P.3Translations: find the coordinates
P.4Reflections: graph the image
P.5Reflections: find the coordinates
P.6Rotations: graph the image
P.7Rotations: find the coordinates
P.8Dilations: graph the image
P.9Dilations: find the coordinates
P.10Dilations: scale factor and classification
P.11Symmetry
Measurement
Q.1Convert rates and measurements: metric units
Q.2Metric mixed units
Q.3Convert between square metres and hectares
Q.4Convert square and cubic units of length
Q.5Convert between cubic metres and litres
Q.6Precision
Number sequences
R.1Identify arithmetic and geometric sequences
R.2Arithmetic sequences
R.3Geometric sequences
R.4Number sequences: mixed review
R.5Number sequences: word problems
R.6Evaluate variable expressions for number sequences
R.7Write variable expressions for arithmetic sequences
Variable expressions
S.1Write variable expressions
S.2Write variable expressions to represent diagrams
S.3Identify terms and coefficients
S.4Evaluate single-variable expressions
S.5Evaluate multi-variable expressions
S.6Add and subtract like terms
S.7Simplify variable expressions
Single-variable equations
T.1Does x satisfy the equation?
T.2Model and solve equations using algebra tiles
T.3Write and solve equations that represent diagrams
T.4Solve one-step linear equations
T.5Solve two-step linear equations
T.6Solve equations involving squares and square roots
T.7Solve multi-step equations
T.8Solve equations involving like terms
Linear functions
U.1Does (x, y) satisfy the linear equation?
U.2Complete a function table
U.3Write a rule for a function table
U.4Find points on a function graph
U.5Graph a line from a function table
U.6Graph a line from an equation
U.7Linear function word problems
Inequalities
V.1Inequalities on number lines
V.2Solutions to variable inequalities
V.3Solve one-step linear inequalities
V.4Solve two-step linear inequalities
V.5Solve advanced linear inequalities
Monomials and polynomials
W.1Identify monomials
W.2Model polynomials with algebra tiles
W.3Add and subtract polynomials using algebra tiles
W.4Add and subtract polynomials
W.5Add polynomials to find perimeter
W.6Multiply monomials
W.7Divide monomials
W.8Multiply and divide monomials
W.9Multiply polynomials using algebra tiles
W.10Multiply polynomials
W.11Multiply polynomials to find area
W.12Factorise out a monomial
Properties
X.1Properties of addition and multiplication
X.2Distributive property
X.3Simplify variable expressions using properties
X.4Properties of equality
Probability
Y.1Probability of simple events
Y.2Probability of opposite, mutually exclusive and overlapping events
Y.3Experimental probability
Y.4Make predictions
Y.5Compound events: find the number of outcomes
Y.6Identify independent and dependent events
Y.7Counting principle
Statistics
Z.1Calculate mean, median, mode and range
Z.2Interpret charts to find mean, median, mode and range
Z.3Mean, median, mode and range: find the missing number
Z.4Changes in mean, median, mode and range
Z.5Identify representative, random and biased samples