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Year 10 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. Ratios, Rates, and Proportions

2.1 Ratios
2.2 Rates
2.3 Proportions

3. Percents

3.1 Representing percents
3.2 Percents, fractions, and decimals
3.3 Percent of a number
3.4 Adding and multiplying percents
3.5 Taxes, discounts, tips and more
3.6 Simple interest

4. Measuring Systems

4.1 Metric systems
4.2 Imperial systems
4.3 Conversions between metric and imperial systems
4.4 Conversions involve squares and cubic
4.5 Upper and lower bound

5. Pythagorean Theorem

5.1 Understanding of squares and square roots
5.2 Pythagorean theorem
5.3 Estimating square roots
5.4 Using the pythagorean relationship
5.5 Applications of pythagorean theorem

6. Coordinates, Quadrants, and Transformations

6.1 Cartesian plane
6.2 Draw on coordinate planes
6.3 Introduction to transformations
6.4 Horizontal and vertical distances

7. Surface area of 3D Objects

7.1 Introduction to surface area of 3-dimensional shapes
7.2 Nets of 3-dimensional shapes
7.3 Surface area of prisms
7.4 Surface area of cylinders

8. Volume of 3-dimensional figures

8.1 Introduction to volume
8.2 Volume of prisms
8.3 Volume of cylinders
8.4 Word problems relating volume of prisms and cylinders

9. Symmetry and Surface Area

9.1 Line symmetry
9.2 Rotational symmetry and transformations
9.3 Surface area of 3-dimensional shapes

10. Scale Factors and Similarity

10.1 Enlargements and reductions with scale factors
10.2 Scale diagrams
10.3 Similar triangles
10.4 Similar polygons

11. Solving Linear Equations

11.1 Solving linear equations using multiplication and division
11.2 Solving two-step linear equations: ax + b = c, x/a + b = c
11.3 Solving linear equations using distributive property: a(x + b) = c
11.4 Solving linear equations with variables on both sides
11.5 Solving literal equations

12. Linear Inequalities

12.1 Express linear inequalities graphically and algebraically
12.2 Solving one-step linear inequalities
12.3 Solving multi-step linear inequalities
12.4 Compound inequalities

13. Introduction to Relations and Functions

13.1 Relationship between two variables
13.2 Understand relations between x- and y-intercepts
13.3 Domain and range of a function
13.4 Identifying functions
13.5 Function notation

14. Functions

14.1 Function notation (Advanced)
14.2 Operations with functions
14.3 Adding functions
14.4 Subtracting functions
14.5 Multiplying functions
14.6 Dividing functions
14.7 Composite functions
14.8 Inequalities of combined functions
14.9 Inverse functions
14.10 One to one functions
14.11 Difference quotient: applications of functions

15. Linear Functions

15.1 Distance formula: d=(x2−x1)2+(y2−y1)2d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}
15.2 Midpoint formula: M=(x1+x22,y1+y22)M = ( \frac{x_1+x_2}2 ,\frac{y_1+y_2}2)
15.3 Gradient equation: m=y2−y1x2−x1m = \frac{y_2-y_1}{x_2- x_1}
15.4 Gradient intercept form: y = mx + b
15.5 General form: Ax + By + C = 0
15.6 Gradient-point form: y−y1=m(x−x1)y - y_1 = m (x - x_1)
15.7 Rate of change
15.8 Graphing linear functions using table of values
15.9 Graphing linear functions using x- and y-intercepts
15.10 Graphing from gradient-intercept form y=mx+b
15.11 Graphing linear functions using a single point and gradient
15.12 Word problems of graphing linear functions
15.13 Parallel and perpendicular lines in linear functions
15.14 Parallel and perpendicular lines in linear functions

16. Solving Simultaneous Equations

16.1 Determining number of solutions to linear equations
16.2 Solving simultaneous equations by graphing
16.3 Solving simultaneous equations by elimination
16.4 Solving simultaneous equations by substitution
16.5 Money related questions in linear equations
16.6 Unknown number related questions in linear equations
16.7 Distance and time related questions in linear equations
16.8 Rectangular shape related questions in linear equations

17. Laws of Indices

17.1 Product rule of exponents
17.2 Quotient rule of exponents
17.3 Power of a product rule
17.4 Power of a quotient rule
17.5 Power of a power rule
17.6 Negative exponent rule
17.7 Combining the exponent rules
17.8 Standard form
17.9 Convert between radicals and rational exponents
17.10 Solving for indices

18. Sequences and Series

18.1 Arithmetic sequences
18.2 Arithmetic series
18.3 Geometric sequences
18.4 Geometric series
18.5 Infinite geometric series
18.6 Sigma notation
18.7 Arithmetic mean vs. Geometric mean

19. Exponential Functions

19.1 Exponents: Product rule (a^x)(a^y) = a^(x+y)
19.2 Exponents: Division rule (a^x / a^y) = a^(x-y)
19.3 Exponents: Power rule (a^x)^y = a^(x * y)
19.4 Exponents: Negative exponents
19.5 Exponents: Zero exponent: a^0 = 1
19.6 Exponents: Rational exponents
19.7 Solving exponential equations using exponent rules
19.8 Graphing exponential functions
19.9 Graphing transformations of exponential functions
19.10 Finding an exponential function given its graph

20. Polynomials

20.1 Characteristics of polynomials
20.2 Equivalent expressions of polynomials
20.3 Adding and subtracting polynomials

21. Multiplication and Division of Polynomials

21.1 Multiplying and dividing monomials
21.2 Multiplying polynomials by monomials
21.3 Dividing polynomials by monomials

22. Factorising Polynomial Expressions

22.1 Common factors of polynomials
22.2 Factorising polynomials by grouping
22.3 Solving polynomials with the unknown "b" from x^2 + bx + c
22.4 Solving polynomials with the unknown "c" from x^2 + bx + c
22.5 Factorising polynomials: x^2 + bx + c
22.6 Applications of polynomials: x^2 + bx + c
22.7 Solving polynomials with the unknown "b" from ax2+bx+cax^2 + bx + c
22.8 Factorising polynomials: ax2+bx+cax^2 + bx + c
22.9 Factorising perfect square trinomials: (a + b)^2 = a^2 + 2ab + b^2 or (a - b)^2 = a^2 - 2ab + b^2
22.10 Find the difference of squares: (a - b)(a + b) = (a^2 - b^2)
22.11 Evaluating polynomials
22.12 Using algebra tiles to factorise polynomials
22.13 Solving polynomial equations
22.14 Word problems of polynomials

23. Surds

23.1 Square and square roots
23.2 Cubic and cube roots
23.3 Evaluating and simplifying surds
23.4 Operations with surds
23.5 Conversion between entire surds and mixed surds
23.6 Adding and subtracting surds
23.7 Multiplying surds
23.8 Solving surd equations
23.9 Rationalize the denominator

24. Algebraic Fractions

24.1 Simplifying algebraic fractions and restrictions
24.2 Adding and subtracting algebraic fractions
24.3 Multiplying algebraic fractions
24.4 Dividing algebraic fractions
24.5 Solving equations with algebraic fractions
24.6 Applications of equations with algebraic fractions
24.7 Simplifying complex fractions
24.8 Partial fraction decomposition

25. Reciprocal Functions

25.1 Graphing reciprocals of linear functions
25.2 Graphing reciprocals of quadratic functions

26. Direct and Inverse Variation

26.1 Direct variation

27. Set Theory

27.1 Set notation
27.2 Set builder notation
27.3 Intersection and union of 2 sets
27.4 Intersection and union of 3 sets

28. Probability

28.1 Determining probabilities using tree diagrams and tables
28.2 Probability of independent events
28.3 Probability with Venn diagrams

29. Statistics

29.1 Median and mode
29.2 Mean
29.3 Range and outliers
29.4 Application of averages
29.5 Influencing factors in data collection
29.6 Data collection

30. Data and Graphs

30.1 Reading and drawing bar graphs
30.2 Reading and drawing histograms
30.3 Reading and drawing line graphs
30.4 Box-and-whisker plots and scatter plots
30.5 Stem-and-leaf plots
30.6 Reading and drawing Venn diagrams

30 Chapters · 177 Topics · 1317 Videos

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