# 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 view a sample question. 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.1Add, subtract, multiply and divide integers
- B.2Evaluate numerical expressions involving integers
- B.3Evaluate variable expressions involving integers
- B.4Add and subtract rational numbers
- B.5Multiply and divide rational numbers
- B.6Evaluate numerical expressions involving rational numbers
- B.7Evaluate variable expressions involving rational numbers

## Consumer maths

## Solve equations

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

## Single-variable inequalities

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

## Linear functions

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

## Simultaneous equations

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

## Matrices

## Exponents

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

## Number sequences

## Polynomials

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

## Factorising

## Quadratic equations

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

## Functions: linear, quadratic, exponential

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

## Rational expressions and equations

## Points, lines and segments

## Angles

## Parallel and perpendicular lines

## Two-dimensional figures

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

## Introduction to congruent figures

## Congruent triangles

## Transformations

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

## Triangles

## Similarity

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

## Right triangles

## Angle measures

## Trigonometry

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

## Vectors

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

## Circles

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

## Surface area and volume

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