# Secondary 4 maths

Here is a list of all of the maths skills students learn in secondary 4! These skills are organised into categories, and you can move your mouse over any skill name to preview the skill. To start practising, just click on any link. IXL will track your score, and the questions will automatically increase in difficulty as you improve!

## 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

## Consumer maths

## Solve equations

- D.1 Model and solve equations using algebra tiles
- D.2 Write and solve equations that represent diagrams
- D.3 Solve one-step linear equations
- D.4 Solve two-step linear equations
- D.5 Solve advanced linear equations
- D.6 Solve equations with variables on both sides
- D.7 Solve equations: complete the solution
- D.8 Find the number of solutions
- D.9 Create equations with no solutions or infinitely many solutions
- D.10 Solve linear equations: word problems
- D.11 Solve linear equations: mixed review

## Single-variable inequalities

- E.1 Graph inequalities
- E.2 Write inequalities from graphs
- E.3 Identify solutions to inequalities
- E.4 Solve one-step linear inequalities: addition and subtraction
- E.5 Solve one-step linear inequalities: multiplication and division
- E.6 Solve one-step linear inequalities
- E.7 Graph solutions to one-step linear inequalities
- E.8 Solve two-step linear inequalities
- E.9 Graph solutions to two-step linear inequalities
- E.10 Solve advanced linear inequalities
- E.11 Graph solutions to advanced linear inequalities

## Linear functions

- F.1 Identify linear functions
- F.2 Find the gradient of a graph
- F.3 Find the gradient from two points
- F.4 Find a missing coordinate using gradient
- F.5 Find the gradient and y-intercept of a linear equation
- F.6 Graph an equation in y=mx+c form
- F.7 Write an equation in y=mx+c form from a graph
- F.8 Write an equation in y=mx+c form
- F.9 Slope-intercept form: write an equation from a table
- F.10 Slope-intercept form: write an equation from a word problem
- F.11 Write linear functions to solve word problems
- F.12 Complete a table and graph a linear function
- F.13 Compare linear functions: graphs, tables and equations
- F.14 Write equations in standard form
- F.15 Standard form: find x- and y-intercepts
- F.16 Standard form: graph an equation
- F.17 Equations of horizontal and vertical lines
- F.18 Graph a horizontal or vertical line
- F.19 Point-gradient form: graph an equation
- F.20 Point-gradient form: write an equation
- F.21 Point-gradient form: write an equation from a graph
- F.22 Gradients of parallel and perpendicular lines
- F.23 Write an equation for a parallel or perpendicular line
- F.24 Find the distance between a point and a line
- F.25 Find the distance between two parallel lines
- F.26 Transformations of linear functions

## Simultaneous equations

- G.1 Is (x, y) a solution to the simultaneous equations?
- G.2 Solve simultaneous equations by graphing
- G.3 Solve simultaneous equations by graphing: word problems
- G.4 Find the number of solutions to simultaneous equations by graphing
- G.5 Find the number of solutions to simultaneous equations
- G.6 Solve simultaneous equations using substitution
- G.7 Solve simultaneous equations using substitution: word problems
- G.8 Solve simultaneous equations using elimination
- G.9 Solve simultaneous equations using elimination: word problems

## Matrices

## Exponents

- I.1 Exponents with integer bases
- I.2 Exponents with decimal and fractional bases
- I.3 Negative exponents
- I.4 Multiplication with exponents
- I.5 Division with exponents
- I.6 Multiplication and division with exponents
- I.7 Power rule
- I.8 Evaluate expressions using properties of exponents
- I.9 Identify equivalent expressions involving exponents

## Number sequences

## Polynomials

- L.1 Polynomial vocabulary
- L.2 Model polynomials with algebra tiles
- L.3 Add and subtract polynomials using algebra tiles
- L.4 Add and subtract polynomials
- L.5 Add polynomials to find perimeter
- L.6 Multiply and divide monomials
- L.7 Powers of monomials
- L.8 Multiply a polynomial by a monomial
- L.9 Multiply two polynomials using algebra tiles
- L.10 Multiply two binomials
- L.11 Multiply two binomials: special cases
- L.12 Multiply polynomials
- L.13 Pascal's triangle
- L.14 Pascal's triangle and the Binomial Theorem
- L.15 Binomial Theorem I
- L.16 Binomial Theorem II

## Factorising

## Quadratic equations

- N.1 Characteristics of quadratic functions
- N.2 Complete a function table: quadratic functions
- N.3 Graph a quadratic function
- N.4 Match quadratic functions and graphs
- N.5 Solve a quadratic equation using square roots
- N.6 Solve a quadratic equation using the zero product property
- N.7 Solve a quadratic equation by factorising
- N.8 Complete the square
- N.9 Solve a quadratic equation by completing the square
- N.10 Solve a quadratic equation using the quadratic formula
- N.11 Using the discriminant

## Functions: linear, quadratic, exponential

- O.1 Identify linear, quadratic and exponential functions from graphs
- O.2 Identify linear, quadratic and exponential functions from tables
- O.3 Write linear, quadratic and exponential functions
- O.4 Linear functions over unit intervals
- O.5 Exponential functions over unit intervals
- O.6 Describe linear and exponential growth and decay

## Rational expressions and equations

## Points, lines and segments

## Angles

## Parallel and perpendicular lines

## Two-dimensional figures

- T.1 Polygon vocabulary
- T.2 Perimeter
- T.3 Area of triangles and quadrilaterals
- T.4 Area and perimeter in the coordinate plane I
- T.5 Area and perimeter in the coordinate plane II
- T.6 Area and circumference of circles
- T.7 Area and perimeter of semicircles and quarter circles
- T.8 Area of composite figures
- T.9 Area between two shapes
- T.10 Area and perimeter of similar figures

## Introduction to congruent figures

## Congruent triangles

## Transformations

- W.1 Congruence transformations
- W.2 Classify congruence transformations
- W.3 Compositions of congruence transformations: graph the image
- W.4 Rotate polygons about a point
- W.5 Transformations that carry a polygon onto itself
- W.6 Dilations: graph the image
- W.7 Dilations: find the coordinates
- W.8 Dilations: scale factor and classification
- W.9 Dilations and parallel lines

## Triangles

## Similarity

- Y.1 Identify similar figures
- Y.2 Similarity ratios
- Y.3 Similarity statements
- Y.4 Side lengths and angle measures in similar figures
- Y.5 Similar triangles and indirect measurement
- Y.6 Perimeters of similar figures
- Y.7 Similarity rules for triangles
- Y.8 Similar triangles and similarity transformations
- Y.9 Areas of similar figures

## Right triangles

## Angle measures

## Trigonometry

- BB.1 Trigonometric ratios: sin, cos and tan
- BB.2 Trigonometric ratios: csc, sec and cot
- BB.3 Trigonometric ratios in similar right triangles
- BB.4 Find trigonometric ratios using the unit circle
- BB.5 Sin, cos and tan of special angles
- BB.6 Csc, sec and cot of special angles
- BB.7 Find trigonometric functions using a calculator
- BB.8 Inverses of sin, cos and tan
- BB.9 Inverses of csc, sec and cot
- BB.10 Trigonometric ratios: find a side length
- BB.11 Trigonometric ratios: find an angle measure
- BB.12 Solve a right triangle
- BB.13 Law of Sines
- BB.14 Law of Cosines
- BB.15 Solve a triangle
- BB.16 Area of a triangle: sine formula
- BB.17 Area of a triangle: Law of Sines

## Vectors

- CC.1 Find the magnitude of a vector
- CC.2 Find the direction angle of a vector
- CC.3 Find the component form of a vector
- CC.4 Find the component form of a vector from its magnitude and direction angle
- CC.5 Add and subtract vectors
- CC.6 Multiply a vector by a scalar
- CC.7 Find the magnitude or direction of a vector scalar multiple
- CC.8 Find the magnitude and direction of a vector sum
- CC.9 Linear combinations of vectors
- CC.10 Graph a resultant vector using the triangle method
- CC.11 Graph a resultant vector using the parallelogram method

## Circles

- DD.1 Parts of a circle
- DD.2 Central angles
- DD.3 Arc measure and arc length
- DD.4 Area of sectors
- DD.5 Circle measurements: mixed review
- DD.6 Arcs and chords
- DD.7 Tangent lines
- DD.8 Perimeter of polygons with an inscribed circle
- DD.9 Inscribed angles
- DD.10 Angles in inscribed right triangles
- DD.11 Angles in inscribed quadrilaterals

## Surface area and volume

- EE.1 Introduction to surface area and volume
- EE.2 Surface area of prisms and cylinders
- EE.3 Surface area of pyramids and cones
- EE.4 Volume of prisms and cylinders
- EE.5 Volume of pyramids and cones
- EE.6 Surface area and volume of spheres
- EE.7 Introduction to similar solids
- EE.8 Surface area and volume of similar solids
- EE.9 Surface area and volume review

## Measurement

## Problem solving

## Probability

## Statistics

## Data and graphs

## Derivatives

- KK.1 Sum and difference rules
- KK.2 Product rule
- KK.3 Quotient rule
- KK.4 Power rule I
- KK.5 Power rule II
- KK.6 Find derivatives of polynomials
- KK.7 Find derivatives of rational functions
- KK.8 Chain rule
- KK.9 Find derivatives of exponential functions
- KK.10 Find derivatives of radical functions
- KK.11 Find derivatives using the chain rule I
- KK.12 Find derivatives using the chain rule II