Class IX maths
Numbers
Operations
- B.1 Add, subtract, multiply and divide integers
- B.2 Evaluate numerical expressions involving integers
- B.3 Evaluate variable expressions involving integers
- B.4 Add and subtract rational numbers
- B.5 Multiply and divide rational numbers
- B.6 Evaluate numerical expressions involving rational numbers
- B.7 Evaluate variable expressions involving rational numbers
Ratios, rates and proportions
Percents
Measurement
Lines and angles
Triangles
- G.1 Classify triangles
- G.2 Triangle angle-sum property
- G.3 Exterior angle property
- G.4 Exterior angle inequality
- G.5 Angle-side relationships in triangles
- G.6 Triangle Inequality Theorem
- G.7 Midsegments of triangles
- G.8 SSS, SAS and ASA Theorems
- G.9 SSS Theorem in the coordinate plane
- G.10 Congruency in isosceles and equilateral triangles
- G.11 Hypotenuse-Leg Theorem
Quadrilaterals
Polygons
Area and perimeter
Surface area and volume
Circles
- L.1 Parts of a circle
- L.2 Central angles
- L.3 Arc measure and arc length
- L.4 Area of sectors
- L.5 Circle measurements: mixed review
- L.6 Arcs and chords
- L.7 Tangent lines
- L.8 Perimeter of polygons with an inscribed circle
- L.9 Inscribed angles
- L.10 Angles in inscribed right triangles
- L.11 Angles in inscribed quadrilaterals
Constructions
Solve equations
- N.1 Model and solve equations using algebra tiles
- N.2 Write and solve equations that represent diagrams
- N.3 Solve one-step linear equations
- N.4 Solve two-step linear equations
- N.5 Solve advanced linear equations
- N.6 Solve equations with variables on both sides
- N.7 Solve equations: complete the solution
- N.8 Find the number of solutions
- N.9 Create equations with no solutions or infinitely many solutions
- N.10 Solve linear equations: word problems
- N.11 Solve linear equations: mixed review
Data and graphs
Problem solving
Coordinate plane
Direct variation
Linear equations
- T.1 Identify linear equations
- T.2 Find the slope of a graph
- T.3 Find the slope from two points
- T.4 Find a missing coordinate using slope
- T.5 Slope-intercept form: find the slope and y-intercept
- T.6 Slope-intercept form: graph an equation
- T.7 Slope-intercept form: write an equation from a graph
- T.8 Slope-intercept form: write an equation
- T.9 Slope-intercept form: write an equation from a table
- T.10 Slope-intercept form: write an equation from a word problem
- T.11 Linear equations: solve for y
- T.12 Write linear equations to solve word problems
- T.13 Compare linear equations, graphs and tables
- T.14 Write equations in standard form
- T.15 Standard form: find x- and y-intercepts
- T.16 Standard form: graph an equation
- T.17 Equations of horizontal and vertical lines
- T.18 Graph a horizontal or vertical line
- T.19 Slopes of parallel and perpendicular lines
- T.20 Write an equation for a parallel or perpendicular line
Exponents
- U.1 Exponents with integer bases
- U.2 Exponents with decimal and fractional bases
- U.3 Negative exponents
- U.4 Multiplication with exponents
- U.5 Division with exponents
- U.6 Multiplication and division with exponents
- U.7 Power rule
- U.8 Evaluate expressions using properties of exponents
- U.9 Identify equivalent expressions involving exponents
Rational exponents
Logarithms
- W.1 Convert between exponential and logarithmic form: rational bases
- W.2 Evaluate logarithms
- W.3 Change of base formula
- W.4 Identify properties of logarithms
- W.5 Product property of logarithms
- W.6 Quotient property of logarithms
- W.7 Power property of logarithms
- W.8 Properties of logarithms: mixed review
- W.9 Evaluate logarithms: mixed review
Scientific notation
Monomials
Polynomials
- Z.1 Polynomial vocabulary
- Z.2 Model polynomials with algebra tiles
- Z.3 Add and subtract polynomials using algebra tiles
- Z.4 Add and subtract polynomials
- Z.5 Add polynomials to find perimeter
- Z.6 Multiply a polynomial by a monomial
- Z.7 Multiply two polynomials using algebra tiles
- Z.8 Multiply two binomials
- Z.9 Multiply two binomials: special cases
- Z.10 Multiply polynomials
- Z.11 Write a polynomial from its roots
- Z.12 Find the roots of factorised polynomials
Factorising
- AA.1 HCF of monomials
- AA.2 Factorise out a monomial
- AA.3 Factorise quadratics with leading coefficient 1
- AA.4 Factorise quadratics with other leading coefficients
- AA.5 Factorise quadratics: special cases
- AA.6 Factorise quadratics using algebra tiles
- AA.7 Factorise by grouping
- AA.8 Factorise polynomials
Quadratic equations
- BB.1 Characteristics of quadratic equations
- BB.2 Complete a table: quadratic equations
- BB.3 Solve a quadratic equation using square roots
- BB.4 Solve a quadratic equation using the zero product property
- BB.5 Solve a quadratic equation by factorising
- BB.6 Solve a quadratic equation using the quadratic formula
Radical expressions
- CC.1 Roots of integers
- CC.2 Roots of rational numbers
- CC.3 Find roots using a calculator
- CC.4 Nth roots
- CC.5 Simplify radical expressions with variables I
- CC.6 Simplify radical expressions with variables II
- CC.7 Multiply radical expressions
- CC.8 Divide radical expressions
- CC.9 Add and subtract radical expressions
- CC.10 Simplify radical expressions using the distributive property
- CC.11 Simplify radical expressions using conjugates