Here is a list of all of the maths skills students learn in class VII! These skills are organised into categories.
Number theory
A.9Compare numbers written in scientific notation
Integers
B.3Graph integers on horizontal and vertical number lines
B.4Absolute value and opposite integers
Operations with integers
C.1Integer addition and subtraction rules
C.2Add and subtract integers using counters
C.4Complete addition and subtraction sentences with integers
C.5Add and subtract integers: word problems
C.6Integer multiplication and division rules
C.7Multiply and divide integers
C.8Complete multiplication and division sentences with integers
C.9Evaluate numerical expressions involving integers
Decimals
Operations with decimals
E.2Add and subtract decimals: word problems
E.4Multiply decimals and whole numbers: word problems
E.6Divide decimals by whole numbers: word problems
E.7Estimate sums, differences and products of decimals
E.8Add, subtract, multiply and divide decimals: word problems
E.9Multi-step inequalities with decimals
E.10Maps with decimal distances
E.11Evaluate numerical expressions involving decimals
Fractions and mixed numbers
F.1Understanding fractions: word problems
F.3Write fractions in lowest terms
F.4Fractions: word problems with graphs and tables
F.6Compare and order fractions
F.7Compare fractions: word problems
F.8Convert between mixed numbers and improper fractions
F.9Compare mixed numbers and improper fractions
Operations with fractions
G.2Add and subtract fractions: word problems
G.3Add and subtract mixed numbers
G.4Add and subtract mixed numbers: word problems
G.5Inequalities with addition and subtraction of fractions and mixed numbers
G.6Estimate sums and differences of mixed numbers
G.7Multiply fractions and whole numbers
G.8Multiply two fractions using models
G.11Multiply fractions and mixed numbers: word problems
G.12Divide whole numbers and unit fractions
G.15Divide fractions and mixed numbers: word problems
G.16Estimate products and quotients of fractions and mixed numbers
G.17Add, subtract, multiply and divide fractions and mixed numbers: word problems
G.18Evaluate numerical expressions involving fractions
Rational numbers
H.2Convert between decimals and fractions or mixed numbers
H.4Put rational numbers in order
H.5Add and subtract rational numbers
H.6Apply addition and subtraction rules
H.7Multiply and divide rational numbers
H.8Apply multiplication and division rules
Exponents
I.3Solve equations with variable exponents
I.4Exponents with negative bases
I.5Exponents with decimal and fractional bases
I.6Evaluate numerical expressions involving exponents
Ratios, rates and proportions
J.4Equivalent ratios: word problems
J.6Compare ratios: word problems
J.7Scale drawings: word problems
J.8Do the ratios form a proportion?
J.9Do the ratios form a proportion: word problems
J.11Solve proportions: word problems
J.12Estimate population size using proportions
Percents
K.1What percentage 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.8Solve percent equations: word problems
Consumer maths
L.1Add, subtract, multiply and divide money amounts: word problems
L.4Unit prices: find the total price
L.5Percent of a number, discount and more
L.6Find the percent: discount and mark-up
L.7Sale prices: find the original price
L.8Multi-step problems with percents
Problem solving and estimation
M.1Estimate to solve word problems
M.3Guess-and-check word problems
M.4Use Venn diagrams to solve problems
M.5Find the number of each type of coin
Units of measurement
N.1Estimate metric measurements
N.2Compare and convert metric units
N.4Convert square and cubic units of length
N.5Convert between cubic metres and litres
Number sequences
O.1Identify arithmetic and geometric sequences
O.4Number sequences: mixed review
O.5Number sequences: word problems
O.6Evaluate variable expressions for number sequences
O.7Write variable expressions for arithmetic sequences
Expressions and properties
P.2Write variable expressions: word problems
P.3Evaluate linear expressions
P.4Evaluate multi-variable expressions
P.5Evaluate absolute value expressions
P.6Evaluate nonlinear expressions
P.7Identify terms and coefficients
P.8Sort factors of expressions
P.9Properties of addition and multiplication
P.10Multiply using the distributive property
P.11Solve equations using properties
P.12Write equivalent expressions using properties
P.13Add and subtract like terms
P.14Add, subtract and multiply linear expressions
P.15Factors of linear expressions
P.16Identify equivalent linear expressions
One-variable equations
Q.1Which x satisfies an equation?
Q.2Write an equation from words
Q.3Model and solve equations using algebra tiles
Q.4Write and solve equations that represent diagrams
Q.7Solve equations: word problems
Q.8Solve equations involving like terms
Q.9Solve equations: complete the solution
Two-dimensional figures
R.1Identify and classify polygons
R.2Name, measure and classify angles
R.6Graph triangles and quadrilaterals
R.7Triangle angle-sum property
R.9Find missing angles in triangles and quadrilaterals
R.10Interior angles of polygons
R.11Lines, line segments and half lines
R.12Parallel, perpendicular and intersecting lines
R.13Identify complementary, supplementary, vertical, adjacent and congruent angles
R.14Find measures of complementary, supplementary, vertical and adjacent angles
R.15Transversal of parallel lines
R.16Find lengths and measures of bisected line segments and angles
Congruence and similarity
S.1Similar and congruent figures
S.2Side lengths and angle measures of congruent figures
S.3Congruence statements and corresponding parts
S.4Side lengths and angle measures of similar figures
S.5Similar figures and indirect measurement
Constructions
T.1Construct the midpoint or perpendicular bisector of a segment
T.2Construct an angle bisector
T.3Construct a perpendicular line
T.5Construct an equilateral triangle or regular hexagon
Pythagoras’ theorem
U.1Pythagoras’ theorem: find the length of the hypotenuse
U.2Pythagoras’ theorem: find the missing leg length
U.3Pythagoras’ theorem: word problems
U.4Converse of Pythagoras’ theorem: is it a right triangle?
Three-dimensional figures
V.1Bases of three-dimensional figures
V.2Nets of three-dimensional figures
Geometric measurement
W.2Area of rectangles and parallelograms
W.4Area and perimeter: word problems
W.5Circles: calculate area, circumference, radius and diameter
W.7Semicircles: calculate area, perimeter, radius and diameter
W.8Quarter circles: calculate area, perimeter and radius
W.9Area of compound figures with triangles, semicircles and quarter circles
W.11Perimeter, area and volume: changes in scale
Data and graphs
X.4Interpret stem-and-leaf plots
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
Probability
Z.1Probability of simple events
Z.2Probability of opposite, mutually exclusive and overlapping events