Year 7
Year 7Here is a list of all of the skills students learn in year 7. These skills are organised into categories.
Number theory
A.1Prime or composite
A.2Prime factorization
A.3Multiplicative inverses
A.4Divisibility rules
A.5Greatest common factor
A.6Least common multiple
A.7GCF and LCM: word problems
A.8Classify numbers
A.9Scientific notation
Decimal numbers
B.1Decimal numbers review
B.2Compare and order decimals
B.3Decimal number lines
B.4Round decimals
Operations with decimals
C.1Add and subtract decimals
C.2Add and subtract decimals: word problems
C.3Multiply decimals
C.4Multiply decimals and whole numbers: word problemsC.5Divide decimals
C.6Divide decimals by whole numbers: word problems
C.7Estimate sums, differences and products of decimals
C.8Add, subtract, multiply and divide decimals: word problems
C.9Multi-step inequalities with decimals
C.10Maps with decimal distances
C.11Simplify expressions involving decimals
Integers
D.1Understanding integers
D.2Integers on number lines
D.3Absolute value and opposite integers
D.4Compare and order integers
D.5Integer inequalities with absolute values
Operations with integers
E.1Integer addition and subtraction rules
E.2Add and subtract integers using counters
E.3Add and subtract integers
E.4Complete addition and subtraction sentences with integers
E.5Add and subtract integers: word problems
E.6Integer multiplication and division rules
E.7Multiply and divide integers
E.8Complete multiplication and division sentences with integers
E.9Simplify expressions involving integers
Fractions and mixed numbers
F.1Equivalent fractions
F.2Simplify fractions
F.3Understanding fractions
F.4Least common denominator
F.5Compare and order fractions
F.6Compare fractions: word problems
F.7Convert between mixed numbers and improper fractions
F.8Compare mixed numbers and improper fractions
F.9Round mixed numbers
Operations with fractions
G.1Add and subtract fractions with like denominators
G.2Add and subtract fractions with like denominators: word problems
G.3Add fractions with unlike denominators
G.4Subtract fractions with unlike denominators
G.5Add and subtract fractions with unlike denominators: word problems
G.6Add and subtract mixed numbers
G.7Add and subtract mixed numbers: word problemsG.8Inequalities with addition and subtraction of fractions and mixed numbers
G.9Estimate sums and differences of mixed numbers
G.10Multiply fractions and whole numbers
G.11Multiply fractions and whole numbers: word problems
G.12Multiply fractions - with models
G.13Multiply fractions
G.14Multiply fractions: word problems
G.15Multiply three or more fractions and whole numbers
G.16Divide by fractions - with models
G.17ReciprocalsG.18Divide fractions
G.19Divide fractions: word problems
G.20Estimate products and quotients of fractions and mixed numbers
G.21Add, subtract, multiply and divide fractions and mixed numbers: word problems
Rational numbers
H.1Identify rational numbers
H.2Convert between decimals and fractions or mixed numbers
H.3Absolute value of rational numbers
H.4Compare rational numbersH.5Put rational numbers in order
H.6Add and subtract rational numbers
H.7Multiply and divide rational numbers
Exponents and square rootsI.1Understanding exponents
I.2Evaluate exponents
I.3Exponents: solve for the variable
I.4Exponents with negative bases
I.5Exponents with decimal and fractional bases
I.6Simplify expressions involving exponents
I.7Square roots of perfect squares
I.8Estimate square roots
Ratios and proportions
J.1Understanding ratios
J.2Equivalent ratios
J.3Equivalent ratios: word problems
J.4Compare ratios: word problems
J.5Unit ratesJ.6Do the ratios form a proportion?
J.7Do the ratios form a proportion: word problems
J.8Solve proportions
J.9Solve proportions: word problems
J.10Estimate population size using proportions
J.11Rate of change
J.12Constant rate of change
J.13Scale drawings and scale factors
Percents
K.1What prcentage is illustrated?
K.2Convert between percents, fractions and decimals
K.3Compare percents to fractions and decimals
K.4Estimate percents of numbers
K.5Percents of numbers and money amounts
K.6Percents of numbers: word problems
K.7Solve percent equations
K.8Solve percent equations: word problems
Problem solving and estimation
L.1Estimate to solve word problems
L.2Multi-step word problems
L.3Guess-and-check word problems
L.4Use Venn diagrams to solve problems
L.5Find the number of each type of coin
L.6Elapsed time word problems
Consumer maths
M.1Which is the better coupon?
M.2Add, subtract, multiply and divide money amounts: word problems
M.3Price lists
M.4Unit prices
M.5Unit prices: find the total price
M.6Percent of a number: GST, discount and more
M.7Find the percent: discount and mark-up
M.8Sale prices: find the original price
M.9Multi-step problems with percents
M.10Simple interest
M.11Compound interest
Measurement
N.1Estimate metric measurements
N.2Compare and convert metric units
N.3Metric mixed unitsN.4Convert between square meters and hectares
N.5Convert square and cubic units of length
N.6Convert between cubic meters and liters
N.7Precision
Data and graphs
O.1Interpret tables
O.2Interpret line plots
O.3Create line plots
O.4Interpret stem-and-leaf plots
O.5Interpret bar graphs
O.6Create bar graphs
O.7Interpret histograms
O.8Create histograms
O.9Create frequency charts
O.10Interpret circle graphs
O.11Circle graphs and central angles
O.12Interpret line graphs
O.13Create line graphs
O.14Interpret box-and-whisker plots
O.15Scatter plots
O.16Choose the best type of graph
Geometry
P.1Lines, intervals and rays
P.2Parallel, perpendicular, intersecting
P.3Name, measure and classify angles
P.4Identify complementary, supplementary, vertical, adjacent and congruent angles
P.5Find measures of complementary, supplementary, vertical and adjacent angles
P.6Transversal of parallel lines
P.7Classify triangles
P.8Classify quadrilaterals
P.9Find missing angles in triangles and quadrilaterals
P.10Identify and classify polygons
P.11Interior angles of polygons
P.12Similar and congruent figures
P.13Similar figures: side lengths and angle measures
P.14Similar figures and indirect measurement
P.15Congruent figures: side lengths and angle measures
P.16Congruence statements and corresponding parts
P.17Perimeter
P.18Area of rectangles and parallelograms
P.19Area of triangles
P.20Area between two shapes
P.21Area and perimeter: word problems
P.22Parts of a circle
P.23Find lengths and measures of bisected lines and angles
P.24Front, side and top view
P.25Names and bases of 3-dimensional figures
P.26Nets of 3-dimensional figures
P.27Volume
Transformations
Q.1Identify reflections, rotations and translations
Q.2Translations: graph the image
Q.3Translations: find the coordinates
Q.4Reflections: graph the image
Q.5Reflections: find the coordinates
Q.6Rotations: graph the image
Q.7Rotations: find the coordinates
Q.8Symmetry
Coordinate graphs
R.1Points on coordinate graphs
R.2Quadrants and axes
R.3Coordinate graphs as maps
Number sequences
S.1Identify arithmetic and geometric sequences
S.2Arithmetic sequences
S.3Geometric sequences
S.4Number sequences: mixed review
S.5Number sequences: word problems
S.6Evaluate variable expressions for number sequences
S.7Write variable expressions for arithmetic sequences
Variable expressions
T.1Write variable expressions
T.2Evaluate single-variable expressions I
T.3Evaluate single-variable expressions II
T.4Evaluate multi-variable expressions
T.5Evaluate variable expressions for numerators and denominators
T.6Add and subtract like terms
Single-variable equations
U.1Does x satisfy the equation?
U.2Model and solve equations using algebra tiles
U.3Solve one-step linear equations
Linear functions
V.1Identify proportional relationships
V.2Find the constant of variation
V.3Does (x, y) satisfy the equation?
V.4Complete a function table
V.5Write a rule for a function table
V.6Find points on a function graph
V.7Graph a line from a function table
V.8Graph a line from an equation
V.9Linear function word problems
Properties
W.1Properties of addition and multiplication
W.2Distributive property
W.3Simplify variable expressions using properties
W.4Solve equations using properties
Probability
X.1Probability of simple events
X.2Probability of opposite, mutually exclusive and overlapping events
X.3Experimental probability
X.4Make predictions
X.5Compound events: find the number of outcomes
X.6Identify independent and dependent events
X.7Counting principle
Statistics
Y.1Calculate mean, median, mode and range
Y.2Interpret charts to find mean, median, mode and range
Y.3Mean, median, mode and range: find the missing number
Y.4Changes in mean, median, mode and range
Y.5Identify representative, random and biased samples
Number theory
A.1Prime or composite
A.2Prime factorization
A.3Multiplicative inverses
A.4Divisibility rules
A.5Greatest common factor
A.6Least common multiple
A.7GCF and LCM: word problems
A.8Classify numbers
A.9Scientific notation
Decimal numbers
B.1Decimal numbers review
B.2Compare and order decimals
B.3Decimal number lines
B.4Round decimals
Operations with decimals
C.1Add and subtract decimals
C.2Add and subtract decimals: word problems
C.3Multiply decimals
C.4Multiply decimals and whole numbers: word problemsC.5Divide decimals
C.6Divide decimals by whole numbers: word problems
C.7Estimate sums, differences and products of decimals
C.8Add, subtract, multiply and divide decimals: word problems
C.9Multi-step inequalities with decimals
C.10Maps with decimal distances
C.11Simplify expressions involving decimals
Integers
D.1Understanding integers
D.2Integers on number lines
D.3Absolute value and opposite integers
D.4Compare and order integers
D.5Integer inequalities with absolute values
Operations with integers
E.1Integer addition and subtraction rules
E.2Add and subtract integers using counters
E.3Add and subtract integers
E.4Complete addition and subtraction sentences with integers
E.5Add and subtract integers: word problems
E.6Integer multiplication and division rules
E.7Multiply and divide integers
E.8Complete multiplication and division sentences with integers
E.9Simplify expressions involving integers
Fractions and mixed numbers
F.1Equivalent fractions
F.2Simplify fractions
F.3Understanding fractions
F.4Least common denominator
F.5Compare and order fractions
F.6Compare fractions: word problems
F.7Convert between mixed numbers and improper fractions
F.8Compare mixed numbers and improper fractions
F.9Round mixed numbers
Operations with fractions
G.1Add and subtract fractions with like denominators
G.2Add and subtract fractions with like denominators: word problems
G.3Add fractions with unlike denominators
G.4Subtract fractions with unlike denominators
G.5Add and subtract fractions with unlike denominators: word problems
G.6Add and subtract mixed numbers
G.7Add and subtract mixed numbers: word problemsG.8Inequalities with addition and subtraction of fractions and mixed numbers
G.9Estimate sums and differences of mixed numbers
G.10Multiply fractions and whole numbers
G.11Multiply fractions and whole numbers: word problems
G.12Multiply fractions - with models
G.13Multiply fractions
G.14Multiply fractions: word problems
G.15Multiply three or more fractions and whole numbers
G.16Divide by fractions - with models
G.17ReciprocalsG.18Divide fractions
G.19Divide fractions: word problems
G.20Estimate products and quotients of fractions and mixed numbers
G.21Add, subtract, multiply and divide fractions and mixed numbers: word problems
Rational numbers
H.1Identify rational numbers
H.2Convert between decimals and fractions or mixed numbers
H.3Absolute value of rational numbers
H.4Compare rational numbersH.5Put rational numbers in order
H.6Add and subtract rational numbers
H.7Multiply and divide rational numbers
Exponents and square rootsI.1Understanding exponents
I.2Evaluate exponents
I.3Exponents: solve for the variable
I.4Exponents with negative bases
I.5Exponents with decimal and fractional bases
I.6Simplify expressions involving exponents
I.7Square roots of perfect squares
I.8Estimate square roots
Ratios and proportions
J.1Understanding ratios
J.2Equivalent ratios
J.3Equivalent ratios: word problems
J.4Compare ratios: word problems
J.5Unit ratesJ.6Do the ratios form a proportion?
J.7Do the ratios form a proportion: word problems
J.8Solve proportions
J.9Solve proportions: word problems
J.10Estimate population size using proportions
J.11Rate of change
J.12Constant rate of change
J.13Scale drawings and scale factors
Percents
K.1What prcentage is illustrated?
K.2Convert between percents, fractions and decimals
K.3Compare percents to fractions and decimals
K.4Estimate percents of numbers
K.5Percents of numbers and money amounts
K.6Percents of numbers: word problems
K.7Solve percent equations
K.8Solve percent equations: word problems
Problem solving and estimation
L.1Estimate to solve word problems
L.2Multi-step word problems
L.3Guess-and-check word problems
L.4Use Venn diagrams to solve problems
L.5Find the number of each type of coin
L.6Elapsed time word problems
Consumer maths
M.1Which is the better coupon?
M.2Add, subtract, multiply and divide money amounts: word problems
M.3Price lists
M.4Unit prices
M.5Unit prices: find the total price
M.6Percent of a number: GST, discount and more
M.7Find the percent: discount and mark-up
M.8Sale prices: find the original price
M.9Multi-step problems with percents
M.10Simple interest
M.11Compound interest
Measurement
N.1Estimate metric measurements
N.2Compare and convert metric units
N.3Metric mixed unitsN.4Convert between square meters and hectares
N.5Convert square and cubic units of length
N.6Convert between cubic meters and liters
N.7Precision
Data and graphs
O.1Interpret tables
O.2Interpret line plots
O.3Create line plots
O.4Interpret stem-and-leaf plots
O.5Interpret bar graphs
O.6Create bar graphs
O.7Interpret histograms
O.8Create histograms
O.9Create frequency charts
O.10Interpret circle graphs
O.11Circle graphs and central angles
O.12Interpret line graphs
O.13Create line graphs
O.14Interpret box-and-whisker plots
O.15Scatter plots
O.16Choose the best type of graph
Geometry
P.1Lines, intervals and rays
P.2Parallel, perpendicular, intersecting
P.3Name, measure and classify angles
P.4Identify complementary, supplementary, vertical, adjacent and congruent angles
P.5Find measures of complementary, supplementary, vertical and adjacent angles
P.6Transversal of parallel lines
P.7Classify triangles
P.8Classify quadrilaterals
P.9Find missing angles in triangles and quadrilaterals
P.10Identify and classify polygons
P.11Interior angles of polygons
P.12Similar and congruent figures
P.13Similar figures: side lengths and angle measures
P.14Similar figures and indirect measurement
P.15Congruent figures: side lengths and angle measures
P.16Congruence statements and corresponding parts
P.17Perimeter
P.18Area of rectangles and parallelograms
P.19Area of triangles
P.20Area between two shapes
P.21Area and perimeter: word problems
P.22Parts of a circle
P.23Find lengths and measures of bisected lines and angles
P.24Front, side and top view
P.25Names and bases of 3-dimensional figures
P.26Nets of 3-dimensional figures
P.27Volume
Transformations
Q.1Identify reflections, rotations and translations
Q.2Translations: graph the image
Q.3Translations: find the coordinates
Q.4Reflections: graph the image
Q.5Reflections: find the coordinates
Q.6Rotations: graph the image
Q.7Rotations: find the coordinates
Q.8Symmetry
Coordinate graphs
R.1Points on coordinate graphs
R.2Quadrants and axes
R.3Coordinate graphs as maps
Number sequences
S.1Identify arithmetic and geometric sequences
S.2Arithmetic sequences
S.3Geometric sequences
S.4Number sequences: mixed review
S.5Number sequences: word problems
S.6Evaluate variable expressions for number sequences
S.7Write variable expressions for arithmetic sequences
Variable expressions
T.1Write variable expressions
T.2Evaluate single-variable expressions I
T.3Evaluate single-variable expressions II
T.4Evaluate multi-variable expressions
T.5Evaluate variable expressions for numerators and denominators
T.6Add and subtract like terms
Single-variable equations
U.1Does x satisfy the equation?
U.2Model and solve equations using algebra tiles
U.3Solve one-step linear equations
Linear functions
V.1Identify proportional relationships
V.2Find the constant of variation
V.3Does (x, y) satisfy the equation?
V.4Complete a function table
V.5Write a rule for a function table
V.6Find points on a function graph
V.7Graph a line from a function table
V.8Graph a line from an equation
V.9Linear function word problems
Properties
W.1Properties of addition and multiplication
W.2Distributive property
W.3Simplify variable expressions using properties
W.4Solve equations using properties
Probability
X.1Probability of simple events
X.2Probability of opposite, mutually exclusive and overlapping events
X.3Experimental probability
X.4Make predictions
X.5Compound events: find the number of outcomes
X.6Identify independent and dependent events
X.7Counting principle
Statistics
Y.1Calculate mean, median, mode and range
Y.2Interpret charts to find mean, median, mode and range
Y.3Mean, median, mode and range: find the missing number
Y.4Changes in mean, median, mode and range
Y.5Identify representative, random and biased samples