Year 11

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Numbers

A.1 Prime or composite

A.2 Identify rational and irrational numbers

A.3 Compare and order rational numbers

A.4 Square roots

A.5 Cube roots

A.6 Add, subtract, multiply and divide rational numbers

A.7 Evaluate numerical expressions involving rational numbers
Exponents

B.1 Exponents review

B.2 Multiplication and division with exponents

B.3 Power rule

B.4 Evaluate expressions using properties of exponents

B.5 Identify equivalent expressions involving exponents

B.6 Convert between ordinary numbers and standard form

B.7 Multiply, divide and compare numbers written in standard form
Coordinate plane

C.1 Coordinate plane review

C.2 Midpoints

C.3 Distance between two points
Solve equations

D.1 Solve one- and two-step linear equations

D.2 Solve advanced linear equations

D.3 Solve equations with variables on both sides

D.4 Solve equations: complete the solution

D.5 Find the number of solutions

D.6 Create equations with no solutions or infinitely many solutions

D.7 Solve linear equations: word problems

D.8 Solve linear equations: mixed review
Single-variable inequalities

E.1 Solve one-step linear inequalities

E.2 Graph solutions to one-step linear inequalities

E.3 Solve two-step linear inequalities

E.4 Graph solutions to two-step linear inequalities

E.5 Solve advanced linear inequalities

E.6 Graph solutions to advanced linear inequalities

E.7 Graph compound inequalities

E.8 Write compound inequalities from graphs

E.9 Solve compound inequalities

E.10 Graph solutions to compound inequalities

E.11 Graph solutions to quadratic inequalities
Relations and functions

F.1 Relations: convert between tables, graphs, mappings and lists of points

F.2 Domain and range of relations

F.3 Find values using function graphs

F.4 Interpret the graph of a function: word problems

F.5 Identify independent and dependent variables

F.6 Identify functions

F.7 Evaluate a function

F.8 Complete a function table from a graph

F.9 Complete a function table from an equation
Direct and inverse variation

G.1 Identify proportional relationships

G.2 Find the constant of variation

G.3 Graph a proportional relationship

G.4 Write direct variation equations

G.5 Write and solve direct variation equations

G.6 Write inverse variation equations

G.7 Write and solve inverse variation equations

G.8 Identify direct variation and inverse variation
Linear functions

H.1 Identify linear functions

H.2 Find the gradient of a graph

H.3 Find the gradient from two points

H.4 Find a missing coordinate using gradient

H.5 Find the gradient and y-intercept of a linear equation

H.6  Graph an equation in y=mx+c form

H.7 Write an equation in y=mx+c form from a graph

H.8 Write an equation in y=mx+c form

H.9 Write an equation in y=mx+c form from a table

H.10 Write an equation in y=mx+c form from a word problem

H.11 Write linear functions to solve word problems

H.12 Complete a table and graph a linear function

H.13 Compare linear functions: graphs, tables and equations

H.14 Write equations in standard form

H.15 Standard form: find x- and y-intercepts

H.16 Standard form: graph an equation

H.17 Equations of horizontal and vertical lines

H.18 Graph a horizontal or vertical line

H.19 Point-gradient form: graph an equation

H.20 Point-gradient form: write an equation

H.21 Point-gradient form: write an equation from a graph

H.22 Gradients of parallel and perpendicular lines

H.23 Write an equation for a parallel or perpendicular line

H.24  Find the distance between a point and a line

H.25 Find the distance between two parallel lines

H.26  Transformations of linear functions
Simultaneous equations

I.1 Is (x, y) a solution to the simultaneous equations?

I.2 Solve simultaneous equations by graphing

I.3 Solve simultaneous equations by graphing: word problems

I.4 Find the number of solutions to simultaneous equations by graphing

I.5 Find the number of solutions to simultaneous equations

I.6 Solve simultaneous equations using substitution

I.7 Solve simultaneous equations using substitution: word problems

I.8 Solve simultaneous equations using elimination

I.9 Solve simultaneous equations using elimination: word problems
Exponential functions

J.1 Evaluate an exponential function

J.2 Match exponential functions and graphs

J.3 Domain and range of exponential functions

J.4 Exponential growth and decay: word problems
Monomials

K.1 Identify monomials

K.2 Multiply monomials

K.3 Divide monomials

K.4 Multiply and divide monomials

K.5 Powers of monomials
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 a polynomial by a monomial

L.7 Multiply two polynomials using algebra tiles

L.8 Multiply two binomials

L.9 Multiply two binomials: special cases

L.10 Multiply polynomials
Factorising

M.1 HCF of monomials

M.2 Factorise out a monomial

M.3 Factorise quadratics using algebra tiles

M.4 Factorise quadratics with leading coefficient 1

M.5 Factorise quadratics with other leading coefficients

M.6 Factorise quadratics: special cases

M.7 Factorise by grouping
Quadratic equations

N.1 Characteristics of quadratic functions

N.2 Complete a function table: quadratic functions

N.3 Solve a quadratic equation using square roots

N.4 Solve a quadratic equation using the zero product property

N.5 Solve a quadratic equation by factorising

N.6 Complete the square

N.7 Solve a quadratic equation by completing the square

N.8 Solve a quadratic equation using the quadratic formula
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

O.7 Find the vertex of a parabola

O.8 Graph a quadratic function
Families of functions

P.1 Function transformation rules

P.2 Translations of functions

P.3 Reflections of functions

P.4 Dilations of functions

P.5 Transformations of functions
Radical expressions

Q.1 Simplify radical expressions

Q.2 Simplify radical expressions by rationalizing the denominator

Q.3 Multiply radical expressions

Q.4 Add and subtract radical expressions

Q.5 Simplify radical expressions using the distributive property

Q.6 Simplify radical expressions: mixed review
Rational exponents

R.1 Evaluate rational exponents

R.2 Multiplication with rational exponents

R.3 Division with rational exponents

R.4 Power rule with rational exponents

R.5 Simplify expressions involving rational exponents I

R.6 Simplify expressions involving rational exponents II
Rational functions and expressions

S.1 Rational functions: asymptotes and excluded values

S.2 Simplify complex fractions

S.3 Simplify rational expressions

S.4 Multiply and divide rational expressions

S.5 Divide polynomials

S.6 Add and subtract rational expressions

S.7 Solve rational equations
Introduction to triangles

T.1 Classify triangles

T.2 Triangle Angle-Sum Theorem

T.3 Exterior Angle Theorem

T.4 Exterior Angle Inequality
Two-dimensional figures

U.1 Polygon vocabulary

U.2 Interior angles of polygons

U.3 Exterior angles of polygons

U.4 Review: interior and exterior angles of polygons
Three-dimensional figures

V.1 Three-dimensional figure vocabulary

V.2 Parts of three-dimensional figures

V.3 Nets and drawings of three-dimensional figures

V.4 Cross-sections of three-dimensional figures

V.5 Solids of revolution
Introduction to congruent figures

W.1 Congruence statements and corresponding parts

W.2 Solve problems involving corresponding parts

W.3 Identify congruent figures
Congruent triangles

X.1 SSS and SAS Theorems

X.2 ASA and AAS Theorems

X.3 SSS, SAS, ASA and AAS Theorems

X.4 SSS Theorem in the coordinate plane

X.5 Congruency in isosceles and equilateral triangles

X.6 Hypotenuse-Leg Theorem
Triangles

Y.1 Midsegments of triangles

Y.2 Triangles and bisectors

Y.3 Identify medians, altitudes, angle bisectors and perpendicular bisectors

Y.4 Angle-side relationships in triangles

Y.5 Triangle Inequality Theorem
Quadrilaterals

Z.1 Identify trapeziums

Z.2 Classify quadrilaterals

Z.3 Graph quadrilaterals

Z.4 Properties of parallelograms

Z.5 Proving a quadrilateral is a parallelogram

Z.6 Properties of rhombuses

Z.7 Properties of squares and rectangles

Z.8 Properties of trapeziums

Z.9 Properties of kites

Z.10 Review: properties of quadrilaterals
Transformations

AA.1 Translations: graph the image

AA.2 Translations: find the coordinates

AA.3 Translations: write the rule

AA.4 Reflections: graph the image

AA.5 Reflections: find the coordinates

AA.6 Rotate polygons about a point

AA.7 Rotations: graph the image

AA.8 Rotations: find the coordinates

AA.9 Classify congruence transformations

AA.10 Compositions of congruence transformations: graph the image

AA.11 Transformations that carry a polygon onto itself

AA.12 Congruence transformations: mixed review

AA.13 Dilations: graph the image

AA.14 Dilations: find the coordinates

AA.15 Dilations: scale factor and classification

AA.16 Dilations and parallel lines
Similarity

BB.1 Identify similar figures

BB.2 Similarity ratios

BB.3 Similarity statements

BB.4 Side lengths and angle measures in similar figures

BB.5 Similar triangles and indirect measurement

BB.6 Perimeters of similar figures

BB.7 Similarity rules for triangles

BB.8 Similar triangles and similarity transformations

BB.9 Areas of similar figures
Right triangles

CC.1 Pythagoras’ Theorem

CC.2 Converse of Pythagoras’ theorem

CC.3 Pythagoras’ Inequality Theorems

CC.4 Special right triangles
Trigonometry

DD.1 Trigonometric ratios: sin, cos and tan

DD.2 Trigonometric ratios: csc, sec and cot

DD.3 Find trigonometric functions of special angles

DD.4 Find trigonometric functions using a calculator

DD.5 Inverses of trigonometric functions

DD.6 Trigonometric ratios: find a side length

DD.7 Trigonometric ratios: find an angle measure

DD.8 Solve a right triangle
Area and perimeter

EE.1 Perimeter

EE.2 Area of triangles and quadrilaterals

EE.3 Area and perimeter in the coordinate plane I

EE.4 Area and perimeter in the coordinate plane II

EE.5 Area and circumference of circles

EE.6 Area of compound figures

EE.7 Area between two shapes

EE.8 Area and perimeter of similar figures
Circles

FF.1 Parts of a circle

FF.2 Central angles

FF.3 Arc measure and arc length

FF.4 Area of sectors

FF.5 Circle measurements: mixed review

FF.6 Arcs and chords

FF.7 Tangent lines

FF.8 Perimeter of polygons with an inscribed circle

FF.9 Inscribed angles

FF.10 Angles in inscribed right triangles

FF.11 Angles in inscribed quadrilaterals

FF.12 Write equations of circles in standard form from graphs
Surface area and volume

GG.1 Introduction to surface area and volume

GG.2 Surface area of prisms and cylinders

GG.3 Surface area of pyramids and cones

GG.4 Volume of prisms and cylinders

GG.5 Volume of pyramids and cones

GG.6 Surface area and volume of spheres

GG.7 Introduction to similar solids

GG.8 Surface area and volume of similar solids

GG.9 Surface area and volume review
Problem solving

HH.1 Consecutive integer problems

HH.2 Rate of travel: word problems

HH.3 Weighted averages: word problems
Measurement

II.1 Convert rates and measurements: metric units

II.2 Metric mixed units

II.3 Convert rates and measurements: imperial units

II.4 Imperial mixed units

II.5 Convert between metric and imperial units

II.6 Precision

II.7 Greatest possible error

II.8 Minimum and maximum area and volume

II.9 Percent error

II.10 Percent error: area and volume
Probability

KK.1 Mean, median, mode and range

KK.2 Quartiles

KK.3 Mean absolute deviation

KK.4 Variance and standard deviation

KK.5 Identify biased samples
Data and graphs

LL.1 Interpret stem-and-leaf plots

LL.2 Interpret bar graphs for continuous data

LL.3 Create bar graphs for continuous data

LL.4 Interpret box-and-whisker plots

LL.5 Interpret a scatter plot

LL.6 Scatter plots: line of best fit
Statistics

JJ.1 Theoretical probability

JJ.2 Experimental probability

JJ.3 Compound events: find the number of outcomes

JJ.4 Identify independent and dependent events

JJ.5 Probability of independent and dependent events

JJ.6 Geometric probability

Year 11

Year 11

Numbers

Exponents

Coordinate plane

Solve equations

Single-variable inequalities

Relations and functions

Direct and inverse variation

Linear functions

Simultaneous equations

Exponential functions

Monomials

Polynomials

Factorising

Quadratic equations

Functions: linear, quadratic, exponential

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

Quadrilaterals

Transformations

Similarity

Right triangles

Trigonometry

Area and perimeter

Circles

Surface area and volume

Problem solving

Measurement

Probability

Data and graphs

Statistics

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