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Second Year Maths topics

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1Number Theory

1.1Divisibility Rules
1.2Prime factors
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

5Adding and Subtracting Fractions

5.1Using models to add and subtract fractions
5.2Adding fractions with like denominators
5.3Subtracting fractions with like denominators
5.4Adding and subtracting fractions with unlike denominators
5.5Adding and subtracting mixed numbers

6Multiplying and Dividing Fractions

6.1Multiplying fractions and whole numbers (free lessons)
6.2Dividing fractions with whole numbers
6.3Multiplying proper fractions
6.4Multiplying improper fractions and mixed numbers
6.5Dividing fractions and mixed numbers
6.6Applications of fraction operations

7Powers and Exponents

7.1Using exponents to describe numbers (free lessons)
7.2Exponent rules
7.3Order of operations with exponents
7.4Using exponents to solve problems

8Radicals

8.1Square and square roots (free lessons)
8.2Cubic and cube roots
8.3Evaluating and simplifying radicals
8.4Converting radicals to mixed radicals
8.5Converting radicals to entire radicals (free lessons)
8.6Adding and subtracting radicals
8.7Multiplying and dividing radicals
8.8Rationalize the denominator

9Exponents

9.1Product rule of exponents (free lessons)
9.2Quotient rule of exponents
9.3Power of a product rule
9.4Power of a quotient rule
9.5Power of a power rule (free lessons)
9.6Negative exponent rule
9.7Combining the exponent rules
9.8Scientific notation
9.9Convert between radicals and rational exponents (free lessons)
9.10Solving for exponents

10Ratios, Rates, and Proportions

10.1Ratios (free lessons)
10.2Rates
10.3Proportions

11Proportional Relationships

11.1Identifying proportional relationships
11.2Understanding graphs of linear relationships (free lessons)
11.3Understanding tables of values of linear relationships
11.4Applications of linear relationships (free lessons)

12Percents

12.1Representing percents (free lessons)
12.2Percents, fractions, and decimals
12.3Percent of a number
12.4Adding and multiplying percents
12.5Taxes, discounts, tips and more
12.6Simple interest

13Measuring Systems

13.1Metric systems (free lessons)
13.2Imperial systems
13.3Conversions between metric and imperial systems
13.4Conversions involve squares and cubic

14Coordinates, Quadrants, and Transformations

14.1Cartesian plane
14.2Draw on coordinate planes
14.3Introduction to transformations
14.4Horizontal and vertical distances

15Angles, Lines, and Transversals

15.1Pairs of lines and angles
15.2Parallel lines and transversals
15.3Parallel line proofs
15.4Perpendicular line proofs (free lessons)

16Properties of Triangles

16.1Classifying Triangles
16.2Isosceles and Equilateral Triangles

17Circles

17.1Circles and circumference
17.2Angles in a circle (free lessons)
17.3Arcs of a circle
17.4Areas and sectors of circles

18Congruent Triangles

18.1Congruence and congruent triangles
18.2Triangles congruent by SSS proofs
18.3Triangles congruent by SAS and HL proofs
18.4Triangles congruent by ASA and AAS proofs

19Symmetry and Surface Area

19.1Line symmetry (free lessons)
19.2Rotational symmetry and transformations
19.3Surface area of 3-dimensional shapes (free lessons)

20Pythagorean Theorem

20.1Squares and square roots (free lessons)
20.2Pythagorean theorem (free lessons)
20.3Estimating square roots (free lessons)
20.4Using the pythagorean relationship
20.5Applications of pythagorean theorem

21Introduction to 3-Dimensional Figures

21.1Introduction to surface area of 3-dimensional shapes (free lessons)
21.2Nets of 3-dimensional shapes
21.3Surface area of prisms
21.4Surface area of cylinders

22Volume

22.1Introduction to volume
22.2Volume of prisms
22.3Volume of cylinders
22.4Word problems relating volume of prisms and cylinders

23Patterns and Solving Equations

23.1Patterns
23.2Evaluating algebraic expressions
23.3Solving one - step equations: x+a=bx + a = b
23.4Graphing linear relations

24Linear Equations (Basic)

24.1Model and solve one-step linear equations: ax=bax = b, xa=b\frac{x}{a} = b (free lessons)
24.2Solving two-step linear equations using addition and subtraction: ax+b=cax + b = c
24.3Solving two-step linear equations using multiplication and division: xa+b=c\frac{x}{a} + b = c
24.4Solving two-step linear equations using distributive property: a(x+b)=c\;a\left( {x + b} \right) = c

25Solving Linear Equations

25.1Solving linear equations using multiplication and division (free lessons)
25.2Solving two-step linear equations: ax+b=cax + b = c, xa+b=c{x \over a} + b = c
25.3Solving linear equations using distributive property: a(x+b)=ca(x + b) = c (free lessons)
25.4Solving linear equations with variables on both sides
25.5Solving literal equations

26Linear Inequalities

26.1Express linear inequalities graphically and algebraically (free lessons)
26.2Solving one-step linear inequalities (free lessons)
26.3Solving multi-step linear inequalities (free lessons)
26.4Compound inequalities

27Introduction to Relations and Functions

27.1Relationship between two variables (free lessons)
27.2Understand relations between x- and y-intercepts
27.3Domain and range of a function (free lessons)
27.4Identifying functions
27.5Function notation (free lessons)

28Polynomials

28.1Characteristics of polynomials (free lessons)
28.2Equivalent expressions of polynomials
28.3Adding and subtracting polynomials

29Operations of Polynomials

29.1What is a polynomial? (free lessons)
29.2Using algebra tiles to factorise polynomials
29.3Polynomial components
29.4Multiplying monomial by monomial
29.5Multiplying monomial by binomial
29.6Multiplying binomial by binomial (free lessons)
29.7Multiplying polynomial by polynomial
29.8Applications of polynomials

30Data and Graphs

30.1Reading and drawing bar graphs
30.2Reading and drawing histograms
30.3Reading and drawing line graphs
30.4Box-and-whisker plots and scatter plots
30.5Stem-and-leaf plots
30.6Pie charts
30.7Reading and drawing Venn diagrams
30.8Frequency tables and dot plots

31Statistics

31.1Median and mode
31.2Mean
31.3Range and outliers
31.4Application of averages

32Introduction to Probability

32.1Introduction to probability
32.2Organizing outcomes
32.3Probability of independent events
32.4Comparing experimental and theoretical probability
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