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Year 11 Maths Topics

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1. Number System

1.1

Understanding the number systems

1.2

Prime factorisation

1.3

Greatest Common Factors (GCF)

1.4

Least Common Multiple (LCM)

1.5

Rational vs. Irrational numbers

1.6

Converting repeating decimals to fractions

2. Surds

2.1

Square and square roots

2.2

Cubic and cube roots

2.3

Evaluating and simplifying surds

2.4

Operations with surds

2.5

Conversion between entire surds and mixed surds

2.6

Adding and subtracting surds

2.7

Multiplying surds

2.8

Solving surd equations

2.9

Rationalize the denominator

3. Laws of Indices

3.1

Product rule of exponents

3.2

Quotient rule of exponents

3.3

Power of a product rule

3.4

Power of a quotient rule

3.5

Power of a power rule

3.6

Negative exponent rule

3.7

Combining the exponent rules

3.8

3.9

Convert between radicals and rational exponents

3.10

Solving for exponents

4. Solving Linear Equations

4.1

Solving linear equations using multiplication and division

4.2

Solving two-step linear equations: ax + b = c, x/a + b = c

4.3

Solving linear equations using distributive property: a(x + b) = c

4.4

Solving linear equations with variables on both sides

4.5

Solving literal equations

5. Linear Inequalities

5.1

Express linear inequalities graphically and algebraically

5.2

Solving one-step linear inequalities

5.3

Solving multi-step linear inequalities

5.4

Compound inequalities

6. Linear Relations

6.1

Identifying proportional relationships

6.2

Representing patterns in linear relations

6.3

Reading linear relation graphs

6.4

Solving linear equations by graphing

7. Linear Functions

7.1

Distance formula:

d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

7.2

Midpoint formula:

M = ( \frac{x_1+x_2}2 ,\frac{y_1+y_2}2)

7.3

Gradient equation:

m = \frac{y_2-y_1}{x_2- x_1}

7.4

Gradient intercept form: y = mx + b

7.5

General form: Ax + By + C = 0

7.6

Gradient-point form:

y - y_1 = m (x - x_1)

7.7

7.8

Graphing linear functions using table of values

7.9

Graphing linear functions using x- and y-intercepts

7.10

Graphing from gradient-intercept form y=mx+b

7.11

Graphing linear functions using a single point and gradient

7.12

Word problems of graphing linear functions

7.13

Parallel and perpendicular lines in linear functions

7.14

Applications of linear relations

8. Linear Equations

8.1

Introduction to linear equations

8.2

Introduction to nonlinear equations

8.3

Special case of linear equations: Horizontal lines

8.4

Special case of linear equations: Vertical lines

8.5

Parallel line equation

8.6

Perpendicular line equation

8.7

Combination of both parallel and perpendicular line equations

8.8

Applications of linear equations

9. Solving Simultaneous Equations

9.1

Determining number of solutions to linear equations

9.2

Solving simultaneous equations by graphing

9.3

Solving simultaneous equations by elimination

9.4

Solving simultaneous equations by substitution

9.5

Money related questions in linear equations

9.6

Unknown number related questions in linear equations

9.7

Distance and time related questions in linear equations

9.8

Rectangular shape related questions in linear equations

10. Exponential Functions

10.1

Exponents: Product rule (a^x)(a^y) = a^(x+y)

10.2

Exponents: Division rule (a^x / a^y) = a^(x-y)

10.3

Exponents: Power rule (a^x)^y = a^(x * y)

10.4

Exponents: Negative exponents

10.5

Exponents: Zero exponent: a^0 = 1

10.6

Exponents: Rational exponents

10.7

Solving exponential equations using exponent rules

10.8

Graphing exponential functions

10.9

Graphing transformations of exponential functions

10.10

Finding an exponential function given its graph

11. Operations of Polynomials

11.1

What is a polynomial?

11.2

Polynomial components

11.3

Multiplying monomial by monomial

11.4

Multiplying monomial by binomial

11.5

Multiplying binomial by binomial

11.6

Multiplying polynomial by polynomial

11.7

Applications of polynomials

12. Factorising Polynomial Expressions

12.1

Common factors of polynomials

12.2

Factorising polynomials by grouping

12.3

Solving polynomials with the unknown "b" from x^2 + bx + c

12.4

Solving polynomials with the unknown "c" from x^2 + bx + c

12.5

Factorising polynomials: x^2 + bx + c

12.6

Applications of polynomials: x^2 + bx + c

12.7

Solving polynomials with the unknown "b" from

ax^2 + bx + c

12.8

Factorising polynomials:

ax^2 + bx + c

12.9

Factorising perfect square trinomials: (a + b)^2 = a^2 + 2ab + b^2 or (a - b)^2 = a^2 - 2ab + b^2

12.10

Find the difference of squares: (a - b)(a + b) = (a^2 - b^2)

12.11

Evaluating polynomials

12.12

Using algebra tiles to factorise polynomials

12.13

Solving polynomial equations

12.14

Word problems of polynomials

13. Transformations of Functions

13.1

Transformations of functions: Horizontal translations

13.2

Transformations of functions: Vertical translations

13.3

Reflection across the y-axis: y = f(-x)

13.4

Reflection across the x-axis: y = -f(x)

13.5

Transformations of functions: Horizontal stretches

13.6

Transformations of functions: Vertical stretches

13.7

Combining transformations of functions

13.8

Even and odd functions

14. Algebraic Fractions

14.1

Simplifying algebraic fractions and restrictions

14.2

Adding and subtracting algebraic fractions

14.3

Multiplying algebraic fractions

14.4

Dividing algebraic fractions

14.5

Solving equations with algebraic fractions

14.6

Applications of equations with algebraic fractions

14.7

Simplifying complex fractions

14.8

Partial fraction decomposition

15. Reciprocal Functions

15.1

Graphing reciprocals of linear functions

15.2

Graphing reciprocals of quadratic functions

16. Introduction to 3-Dimensional Figures

16.1

Introduction to surface area of 3-dimensional shapes

16.2

Nets of 3-dimensional shapes

16.3

Surface area of prisms

16.4

Surface area of cylinders

17. Properties of Triangles

17.1

Classifying Triangles

17.2

Isosceles and equilateral triangles

18. Congruent Triangles

18.1

Congruence and Congruent Triangles

18.2

Triangles Congruent by SSS Proofs

18.3

Triangles Congruent by SAS and HL Proofs

18.4

Triangles Congruent by ASA and AAS Proofs

19. Circle Geometry

19.1

Angles in a circle

19.2

Chord properties

19.3

Tangent properties

19.4

Circles and circumference

19.5

Arcs of a circle

19.6

Areas and sectors of circles

19.7

Inscribed quadrilaterlas in circles

19.8

Central and inscribed angles in circles

19.9

Conics - circle

20. Scale Factors and Similarity

20.1

Enlargements and reductions with scale factors

20.2

20.3

Similar triangles

20.4

Similar polygons

21. Pythagorean Theorem

21.1

Squares and square roots

21.2

Pythagorean theorem

21.3

Estimating square roots

21.4

Using the pythagorean relationship

21.5

Applications of pythagorean theorem

22. Trigonometry

22.1

Use sine ratio to calculate angles and sides (Sin =

\frac{o}{h}

22.2

Use cosine ratio to calculate angles and sides (Cos =

\frac{a}{h}

22.3

Use tangent ratio to calculate angles and sides (Tan =

\frac{o}{a}

22.4

Combination of SohCahToa questions

22.5

Solving expressions using 45-45-90 special right triangles

22.6

Solving expressions using 30-60-90 special right triangles

22.7

Word problems relating ladder in trigonometry

22.8

Word problems relating guy wire in trigonometry

22.9

Other word problems relating angles in trigonometry

22.10

22.11

22.12

Application of the sine rule and cosine rule

23. Bearings

23.1

Introduction to bearings

23.2

Bearings and direction word problems

23.3

Angle of elevation and depression

24. Volume

24.1

Introduction to volume

24.2

Volume of prisms

24.3

Volume of cylinders

24.4

Word problems relating volume of prisms and cylinders

25. Measuring Systems

25.1

25.2

Imperial systems

25.3

Conversions between metric and imperial systems

25.4

Conversions involve squares and cubic

25.5

Upper and lower bound

26. Introduction to Probability

26.1

Introduction to probability

26.2

Organizing outcomes

26.3

Probability of independent events

26.4

Comparing experimental and theoretical probability

27. Probability

27.1

Determining probabilities using tree diagrams and tables

27.2

Probability of independent events

27.3

Probability with Venn diagrams

28. Statistics

28.1

Median and mode

28.2

28.3

Range and outliers

28.4

Application of averages

28.5

Influencing factors in data collection

28.6

Data collection

29. Data and Graphs

29.1

Reading and drawing bar graphs

29.2

Reading and drawing histograms

29.3

Reading and drawing line graphs

29.4

Box-and-whisker plots and scatter plots

29.5

Stem-and-leaf plots

29.6

Reading and drawing Venn diagrams

30. Vectors

30.1

Introduction to vectors

30.2

Magnitude of a vector

30.3

Direction angle of a vector

30.4

Scalar multiplication

30.5

Equivalent vectors

30.6

Adding and subtracting vectors in component form

30.7

Operations on vectors in magnitude and direction form

30.8

30.9

Word problems on vectors

30Chapters

197Topics

1328Videos

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