# Year 11

Here is a list of all of the skills students learn in year 11! 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

## Exponents

## Coordinate graphs

## Solve equations

## Single-variable inequalities

- E.1Solve one-step linear inequalities
- E.2Graph solutions to one-step linear inequalities
- E.3Solve two-step linear inequalities
- E.4Graph solutions to two-step linear inequalities
- E.5Solve advanced linear inequalities
- E.6Graph solutions to advanced linear inequalities
- E.7Graph compound inequalities
- E.8Write compound inequalities from graphs
- E.9Solve compound inequalities
- E.10Graph solutions to compound inequalities

## Relations and functions

- F.1Relations: convert between tables, graphs, mappings and lists of points
- F.2Domain and range of relations
- F.3Identify independent and dependent variables
- F.4Identify functions
- F.5Complete a function table
- F.6Evaluate function rules
- F.7Graph a function
- F.8Write a function rule: word problems
- F.9Find points on a function graph
- F.10Write a rule for a function table

## Direct and inverse variation

- G.1Identify proportional relationships
- G.2Find the constant of variation
- G.3Graph a proportional relationship
- G.4Write direct variation equations
- G.5Write and solve direct variation equations
- G.6Write inverse variation equations
- G.7Write and solve inverse variation equations
- G.8Identify direct variation and inverse variation

## Linear functions

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

## Simultaneous equations

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

## Exponential functions

## 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 a polynomial by a monomial
- L.7Multiply two polynomials using algebra tiles
- L.8Multiply two binomials
- L.9Multiply two binomials: special cases
- L.10Multiply polynomials

## Factorising

## Quadratic equations

- N.1Characteristics of quadratic functions
- N.2Complete a function table: quadratic functions
- N.3Solve a quadratic equation using square roots
- N.4Solve an equation using the zero product property
- N.5Solve a quadratic equation by factorising
- N.6Complete the square
- N.7Solve a quadratic equation by completing the square
- N.8Solve a quadratic equation using the quadratic formula

## 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

## Families of functions

## Radical expressions

## Rational exponents

## Rational functions and expressions

## Introduction to triangles

## Two-dimensional figures

## Three-dimensional figures

## Introduction to congruent figures

## Congruent triangles

## Triangles

## Transformations

- AA.1Translations: graph the image
- AA.2Translations: find the coordinates
- AA.3Translations: write the rule
- AA.4Reflections: graph the image
- AA.5Reflections: find the coordinates
- AA.6Rotate polygons about a point
- AA.7Rotations: graph the image
- AA.8Rotations: find the coordinates
- AA.9Classify congruence transformations
- AA.10Compositions of congruence transformations: graph the image
- AA.11Transformations that carry a polygon onto itself
- AA.12Congruence transformations: mixed review
- AA.13Dilations: graph the image
- AA.14Dilations: find the coordinates
- AA.15Dilations: scale factor and classification
- AA.16Dilations and parallel lines

## Similarity

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

## Right triangles

## Trigonometry

- DD.1Trigonometric ratios: sin, cos and tan
- DD.2Trigonometric ratios: csc, sec and cot
- DD.3Find trigonometric functions of special angles
- DD.4Find trigonometric functions using a calculator
- DD.5Inverses of trigonometric functions
- DD.6Trigonometric ratios: find a side length
- DD.7Trigonometric ratios: find an angle measure
- DD.8Solve a right triangle

## Area and perimeter

## Circles

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

## Surface area and volume

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