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Secondary 2 Maths topics

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1Number Theory

1.1Divisibility Rules
1.2Prime factorization
1.3Determining Common Factors
1.4Determining Common Multiples
1.5Introduction to Exponents

2Adding and Subtracting Integers

2.1Introduction to integer addition
2.2Adding integers
2.3Introduction to integer subtraction
2.4Subtracting integers
2.5Application of integer operations

3Multiplying and Dividing Integers

3.1Understanding integer multiplication
3.2Multiplying integers
3.3Understanding integer division
3.4Dividing integers
3.5Applications of integer operations

4Rational Numbers

4.1Comparing and ordering rational numbers (free lessons)
4.2Solving problems with rational numbers in decimal form
4.3Solving problems with rational numbers in fraction form
4.4Determine square roots of rational numbers

5Radicals

5.1Square and square roots (free lessons)
5.2Cubic and cube roots
5.3Evaluating and simplifying radicals
5.4Converting radicals to mixed radicals
5.5Converting radicals to entire radicals (free lessons)
5.6Adding and subtracting radicals
5.7Multiplying and dividing radicals
5.8Rationalize the denominator

6Exponents

6.1Product rule of exponents (free lessons)
6.2Quotient rule of exponents
6.3Power of a product rule
6.4Power of a quotient rule
6.5Power of a power rule (free lessons)
6.6Negative exponent rule
6.7Combining the exponent rules
6.8Scientific notation
6.9Convert between radicals and rational exponents (free lessons)
6.10Solving for exponents

7Ratios, Rates and Proportions

7.1Ratios (free lessons)
7.2Rates
7.3Proportions

8Proportional Relationships

8.1Identifying proportional relationships
8.2Understanding graphs of proportional relationships (free lessons)
8.3Graphing and writing equations of proportional relationships
8.4Applications of proportional relationships (free lessons)

9Percents

9.1Representing percents
9.2Percent of a number
9.3Converting among decimals, fractions, and percents
9.4Applications of percents
9.5Taxes, discounts, tips and more
9.6Simple interest

10Measuring Systems

10.1Metric systems (free lessons)
10.2Imperial systems
10.3Conversions between metric and imperial systems
10.4Conversions involve squares and cubic

11Coordinates, Quadrants, and Transformations

11.1Cartesian plane
11.2Draw on coordinate planes
11.3Introduction to transformations
11.4Horizontal and vertical distances

12Angles, Lines and Transversals

12.1Pairs of lines and angles
12.2Parallel lines and transversals
12.3Parallel line proofs
12.4Perpendicular line proofs (free lessons)
12.5Parallel and perpendicular line segments
12.6Perpendicular bisectors
12.7Angle bisectors

13Properties of Triangles

13.1Classifying Triangles
13.2Isosceles and Equilateral Triangles

14Congruent Triangles

14.1Congruence and Congruent Triangles
14.2Triangles Congruent by SSS Proofs
14.3Triangles Congruent by SAS and HL Proofs
14.4Triangles Congruent by ASA and AAS Proofs

15Symmetry and Surface Area

15.1Line symmetry (free lessons)
15.2Rotational symmetry and transformations
15.3Surface area of 3-dimensional shapes (free lessons)

16Pythagorean Theorem

16.1Squares and square roots (free lessons)
16.2Pythagorean theorem (free lessons)
16.3Estimating square roots (free lessons)
16.4Using the pythagorean relationship
16.5Applications of pythagorean theorem

17Surface Area of 3D Shapes

17.1Introduction to surface area of 3-dimensional shapes (free lessons)
17.2Nets of 3-dimensional shapes
17.3Surface area of prisms
17.4Surface area of cylinders

18Circles

18.1Circles and circumference
18.2Angles in a circle (free lessons)
18.3Arcs of a circle
18.4Areas and sectors of circles

19Volume of 3D Shapes

19.1Introduction to volume
19.2Volume of prisms
19.3Volume of cylinders
19.4Word problems relating volume of prisms and cylinders

20Scale Factors and Similarity

20.1Enlargements and reductions with scale factors (free lessons)
20.2Scale diagrams
20.3Similar triangles
20.4Similar polygons

21Linear Equations (Basic)

21.1Model and solve one-step linear equations: ax=bax = b, xa=b\frac{x}{a} = b (free lessons)
21.2Solving two-step linear equations using addition and subtraction: ax+b=cax + b = c
21.3Solving two-step linear equations using multiplication and division: xa+b=c\frac{x}{a} + b = c
21.4Solving two-step linear equations using distributive property: a(x+b)=c\;a\left( {x + b} \right) = c

22Solving Linear Equations

22.1Solving linear equations using multiplication and division (free lessons)
22.2Solving two-step linear equations: ax+b=cax + b = c, xa+b=c{x \over a} + b = c
22.3Solving linear equations using distributive property: a(x+b)=ca(x + b) = c (free lessons)
22.4Solving linear equations with variables on both sides
22.5Solving literal equations

23Linear Inequalities

23.1Express linear inequalities graphically and algebraically (free lessons)
23.2Solving one-step linear inequalities (free lessons)
23.3Solving multi-step linear inequalities (free lessons)
23.4Compound inequalities

24Introduction to Relations and Functions

24.1Relationship between two variables (free lessons)
24.2Understand relations between x- and y-intercepts
24.3Domain and range of a function (free lessons)
24.4Identifying functions
24.5Function notation (free lessons)

25Linear Functions

25.1Distance formula: d=(x2−x1)2+(y2−y1)2d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2} (free lessons)
25.2Midpoint formula: M=(x1+x22,y1+y22)M = ( \frac{x_1+x_2}2 ,\frac{y_1+y_2}2) (free lessons)
25.3Gradient equation: m=y2−y1x2−x1m = \frac{y_2-y_1}{x_2- x_1}
25.4Gradient intercept form: y = mx + b (free lessons)
25.5General form: Ax + By + C = 0 (free lessons)
25.6Gradient-point form: y−y1=m(x−x1)y - y_1 = m (x - x_1) (free lessons)
25.7Rate of change
25.8Graphing linear functions using table of values
25.9Graphing linear functions using x- and y-intercepts (free lessons)
25.10Graphing from gradient-intercept form y=mx+b
25.11Graphing linear functions using a single point and gradient
25.12Word problems of graphing linear functions
25.13Parallel and perpendicular lines in linear functions (free lessons)
25.14Applications of linear relations

26Linear equations (Advanced)

26.1Introduction to linear equations (free lessons)
26.2Introduction to nonlinear equations
26.3Special case of linear equations: Horizontal lines
26.4Special case of linear equations: Vertical lines
26.5Parallel line equation (free lessons)
26.6Perpendicular line equation
26.7Combination of both parallel and perpendicular line equations
26.8Applications of linear equations

27Solving Simultaneous Equations

27.1Determining number of solutions to linear equations (free lessons)
27.2Solving simultaneous equations by graphing
27.3Solving simultaneous equations by elimination
27.4Solving simultaneous equations by substitution
27.5Money related questions in linear equations (free lessons)
27.6Unknown number related questions in linear equations
27.7Distance and time related questions in linear equations
27.8Rectangular shape related questions in linear equations

28Adding and Subtracting Polynomials

28.1Multiplying and dividing monomials (free lessons)
28.2Multiplying polynomials by monomials
28.3Dividing polynomials by monomials

29Multiplying and Dividing Polynomials

29.1What is a polynomial? (free lessons)
29.2Polynomial components
29.3Multiplying monomial by monomial
29.4Multiplying monomial by binomial
29.5Multiplying binomial by binomial (free lessons)
29.6Multiplying polynomial by polynomial
29.7Applications of polynomials

30Factorising Polynomial Functions

30.1Common factors of polynomials (free lessons)
30.2Factorising polynomials by grouping
30.3Solving polynomials with the unknown "b" from x2+bx+cx^2 + bx + c
30.4Solving polynomials with the unknown "c" from x2+bx+cx^2 + bx + c
30.5Factorising polynomials: x2+bx+cx^2 + bx + c (free lessons)
30.6Applications of polynomials: x2+bx+cx^2 + bx + c
30.7Solving polynomials with the unknown "b" from ax2+bx+cax^2 + bx + c
30.8Factorising polynomials: ax2+bx+cax^2 + bx + c
30.9Factorising perfect square trinomials: (a+b)2=a2+2ab+b2(a + b)^2 = a^2 + 2ab + b^2 or (a−b)2=a2−2ab+b2(a - b)^2 = a^2 - 2ab + b^2 (free lessons)
30.10Find the difference of squares: (a−b)(a+b)=(a2−b2)(a - b)(a + b) = (a^2 - b^2)
30.11Evaluating polynomials
30.12Using algebra tiles to factorise polynomials
30.13Solving polynomial equations (free lessons)
30.14Word problems of polynomials

31Quadratic Functions

31.1Characteristics of quadratic functions (free lessons)
31.2Transformations of quadratic functions
31.3Quadratic function in general form: y=ax2+bx+cy = ax^2 + bx+c
31.4Quadratic function in vertex form: y = a(x−p)2+qa(x-p)^2 + q
31.5Completing the square (free lessons)
31.6Converting from general to vertex form by completing the square
31.7Shortcut: Vertex formula (free lessons)
31.8Graphing parabolas for given quadratic functions
31.9Finding the quadratic functions for given parabolas (free lessons)
31.10Applications of quadratic functions

32Algebraic Fractions

32.1Simplifying algebraic fractions and restrictions
32.2Adding and subtracting algebraic fractions (free lessons)
32.3Multiplying algebraic fractions
32.4Dividing algebraic fractions
32.5Solving equations with algebraic fractions
32.6Applications of equations with algebraic fractions
32.7Simplifying complex fractions
32.8Partial fraction decomposition

33Reciprocal Functions

33.1Graphing reciprocals of linear functions
33.2Graphing reciprocals of quadratic functions

34Data and Graphs

34.1Reading and drawing bar graphs
34.2Reading and drawing histograms
34.3Reading and drawing line graphs
34.4Box-and-whisker plots and scatter plots
34.5Pie charts
34.6Reading and drawing Venn diagrams
34.7Stem-and-leaf plots

35Probability

35.1Determining probabilities using tree diagrams and tables (free lessons)
35.2Probability of independent events
35.3Probability with Venn diagrams

36Statistics

36.1Median and mode
36.2Mean
36.3Range and outliers
36.4Application of averages
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