Mathematics-VII
Mathematics sharpens logical thinking, problem-solving, and analytical reasoning. Students apply concepts to real-world situations, making math both practical and meaningful.
Course Topic
A1_Prime or composite
A2_Prime factorisation
A3_Multiplicative inverses
A4_Divisibility rules
A5_Scientific notation
A6_Compare numbers written in scientific notation
A7_Classify numbers
B1_Absolute value and opposite integers
B3_Multiply and divide integers
B2_Integer multiplication and division rules
B4_Complete multiplication and division sentences with integers
B5_Evaluate numerical expressions involving integers
C1_Multiply decimals
C2_Multiply decimals and whole numbers: word problems
C3_Divide decimals
C4_Divide decimals by whole numbers: word problems
C5_Multi-step inequalities with decimals
C6_Evaluate numerical expressions involving decimals
D12_Inequalities with addition and subtraction of fractions and mixed numbers
D13_Estimate sums and differences of mixed numbers
D1_Multiply fractions and whole numbers
D2_Multiply two fractions using models
D3_Multiply fractions
D4_Multiply mixed numbers
D5_Multiply fractions and mixed numbers: word problems
D6_Divide whole numbers and unit fractions
D7_Divide fractions
D8_Divide mixed numbers
D9_Divide fractions and mixed numbers: word problems
D10_Estimate products and quotients of fractions and mixed numbers
M4_Evaluate nonlinear expressions
D11_Evaluate numerical expressions involving fractions
E1_Identify rational numbers
E2_Convert between decimals and fractions or mixed numbers
E3_Compare rational numbers
E4_Order Rational Numbers
E5_Add and subtract rational numbers
E6_Apply addition and subtraction rules
E7_Multiply and divide rational numbers
E8_ Apply Multiplication and Division Rules
F1_Understanding exponents
F2_Evaluate powers
F3_Solve equations with variable exponents
F4_Powers with negative bases
F5_Powers with decimal and fractional bases
F6_Evaluate numerical expressions involving exponents
G1_Estimate population size using proportions
G2_Rate of change
G3_Constant rate of change
H1_What percentage is illustrated?
H2_Convert between percents, fractions and decimals
H3_Solve percent equations
H4_Solve percent equations: word problems
I1_Unit prices
I2_Unit prices: find the total price
I3_Find the percent: discount and mark-up
I4_Sale prices: find the original price
I5_Multi-step problems with percents
I6_Estimate tips
J1_Use Venn diagrams to solve problems
J2_Find the number of each type of coin
K1_Precision
L1_Evaluate variable expressions for number sequences
L2_Write variable expressions for arithmetic sequences
M1_Evaluate linear expressions
M2_Evaluate multi-variable expressions
M3_Evaluate absolute value expressions
M5_Add and subtract like terms
M6_Add, subtract and multiply linear expressions
M7_Factors of linear expressions
N1_Solve two-step equations
N2_Solve equations: word problems
N3_Solve equations involving like terms
O1_Triangle angle-sum property
O2_Exterior angle property
O3_Interior angles of polygons
O4_Identify complementary, supplementary, vertical, adjacent and congruent angles
O5_Find measures of complementary, supplementary, vertical and adjacent angles
O6_Transversal of parallel lines
O7_Find lengths and measures of bisected line segments and angles
P1_Similar and congruent figures
P2_Side lengths and angle measures of congruent figures
P3_Similar figures and indirect measurement
Q1_Construct the midpoint or perpendicular bisector of a segment
Q2_Construct an angle bisector
Q3_Construct a perpendicular line
Q4_Construct parallel lines
Q5_Construct an equilateral triangle or regular hexagon
R1_ Find Hypotenuse
R2_ Find Missing Leg
R3_ Word Problems on Pythagoras’ Theorem
R4_ Converse of Pythagoras’ Theorem
S1_Views of 3D Figures (Front, Side, Top)
T1_Area of triangles
T2_Circles: calculate area, circumference, radius and diameter
T3_Circles: word problems
T4_Semicircles: calculate area, perimeter, radius and diameter
T5_Quarter Circles
T6_Compound Figures
T7_ Scale Changes in Area & Volume
U1_ Missing Values in Data
U2_ Changes in Mean, Median, Mode and Range
V1_Experimental probability
V2_Counting principle
W1_Square numbers
W2_Square roots
W3_Cube numbers
W4_Cube roots
X1_Significant figures: definition and rules
X2_Rounding numbers to a given number of significant figures
X3_Applications of estimation
Y1_Concept of direct variation (y ∝ x)
Y2_Concept of inverse variation (y ∝ 1/x)
Z1_ Surface Area of Solids
Z2_ Volume of Solids
AA1_ Expansion of Expressions
AA2_ Factorization (Basic Methods)
AA3_ Factorization Using Identities
BB1_ Quadratic Expressions
BB2_ Standard Form
BB3_ Solve Quadratic Equations by Factorization
