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Second Year Maths Topics

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1. Number Theory

1.1

Divisibility Rules

1.2

1.3

Determining Common Factors

1.4

Determining Common Multiples

1.5

Introduction to exponents

2. Adding and Subtracting Integers

2.1

Introduction to integer addition

2.2

Adding integers

2.3

Introduction to integer subtraction

2.4

Subtracting integers

2.5

Application of integer operations

3. Multiplying and Dividing Integers

3.1

Understanding integer multiplication

3.2

Multiplying integers

3.3

Understanding integer division

3.4

Dividing integers

3.5

Applications of integer operations

4. Rational Numbers

4.1

Comparing and ordering rational numbers

4.2

Solving problems with rational numbers in decimal form

4.3

Solving problems with rational numbers in fraction form

4.4

Determine square roots of rational numbers

5. Adding and Subtracting Fractions

5.1

Using models to add and subtract fractions

5.2

Adding fractions with like denominators

5.3

Subtracting fractions with like denominators

5.4

Adding and subtracting fractions with unlike denominators

5.5

Adding and subtracting mixed numbers

6. Multiplying and Dividing Fractions

6.1

Multiplying fractions and whole numbers

6.2

Dividing fractions with whole numbers

6.3

Multiplying proper fractions

6.4

Multiplying improper fractions and mixed numbers

6.5

Dividing fractions and mixed numbers

6.6

Applications of fraction operations

7. Powers and Exponents

7.1

Using exponents to describe numbers

7.2

7.3

Order of operations with exponents

7.4

Using exponents to solve problems

8. Radicals

8.1

Square and square roots

8.2

Cubic and cube roots

8.3

Evaluating and simplifying radicals

8.4

Converting radicals to mixed radicals

8.5

Converting radicals to entire radicals

8.6

Adding and subtracting radicals

8.7

Multiplying and dividing radicals

8.8

Rationalize the denominator

9. Exponents

9.1

Product rule of exponents

9.2

Quotient rule of exponents

9.3

Power of a product rule

9.4

Power of a quotient rule

9.5

Power of a power rule

9.6

Negative exponent rule

9.7

Combining the exponent rules

9.8

Scientific notation

9.9

Convert between radicals and rational exponents

9.10

Solving for exponents

10. Ratios, Rates, and Proportions

10.1

10.2

10.3

11. Proportional Relationships

11.1

Identifying proportional relationships

11.2

Understanding graphs of linear relationships

11.3

Understanding tables of values of linear relationships

11.4

Applications of linear relationships

12. Percents

12.1

Representing percents

12.2

Percents, fractions, and decimals

12.3

Percent of a number

12.4

Adding and multiplying percents

12.5

Taxes, discounts, tips and more

12.6

Simple interest

13. Measuring Systems

13.1

13.2

Imperial systems

13.3

Conversions between metric and imperial systems

13.4

Conversions involve squares and cubic

14. Coordinates, Quadrants, and Transformations

14.1

Cartesian plane

14.2

Draw on coordinate planes

14.3

Introduction to transformations

14.4

Horizontal and vertical distances

15. Angles, Lines, and Transversals

15.1

Pairs of lines and angles

15.2

Parallel lines and transversals

15.3

Parallel line proofs

15.4

Perpendicular line proofs

16. Properties of Triangles

16.1

Classifying Triangles

16.2

Isosceles and Equilateral Triangles

17. Circles

17.1

Circles and circumference

17.2

Angles in a circle

17.3

Arcs of a circle

17.4

Areas and sectors of circles

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. Symmetry and Surface Area

19.1

19.2

Rotational symmetry and transformations

19.3

Surface area of 3-dimensional shapes

20. Pythagorean Theorem

20.1

Squares and square roots

20.2

Pythagorean theorem

20.3

Estimating square roots

20.4

Using the pythagorean relationship

20.5

Applications of pythagorean theorem

21. Introduction to 3-Dimensional Figures

21.1

Introduction to surface area of 3-dimensional shapes

21.2

Nets of 3-dimensional shapes

21.3

Surface area of prisms

21.4

Surface area of cylinders

22. Volume

22.1

Introduction to volume

22.2

Volume of prisms

22.3

Volume of cylinders

22.4

Word problems relating volume of prisms and cylinders

23. Patterns and Solving Equations

23.1

23.2

Evaluating algebraic expressions

23.3

Solving one - step equations: x + a = b

23.4

Graphing linear relations

24. Linear Equations (Basic)

24.1

Model and solve one-step linear equations: ax = b, x/a = b

24.2

Solving two-step linear equations using addition and subtraction: ax + b = c

24.3

Solving two-step linear equations using multiplication and division: x/a + b = c

24.4

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

25. Solving Linear Equations

25.1

Solving linear equations using multiplication and division

25.2

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

25.3

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

25.4

Solving linear equations with variables on both sides

25.5

Solving literal equations

26. Linear Inequalities

26.1

Express linear inequalities graphically and algebraically

26.2

Solving one-step linear inequalities

26.3

Solving multi-step linear inequalities

26.4

Compound inequalities

27. Introduction to Relations and Functions

27.1

Relationship between two variables

27.2

Understand relations between x- and y-intercepts

27.3

Domain and range of a function

27.4

Identifying functions

27.5

Function notation

28. Polynomials

28.1

Characteristics of polynomials

28.2

Equivalent expressions of polynomials

28.3

Adding and subtracting polynomials

29. Operations of Polynomials

29.1

What is a polynomial?

29.2

Using algebra tiles to factorise polynomials

29.3

Polynomial components

29.4

Multiplying monomial by monomial

29.5

Multiplying monomial by binomial

29.6

Multiplying binomial by binomial

29.7

Multiplying polynomial by polynomial

29.8

Applications of polynomials

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

30.7

Reading and drawing Venn diagrams

30.8

Frequency tables and dot plots

31. Statistics

31.1

Median and mode

31.2

31.3

Range and outliers

31.4

Application of averages

32. Introduction to Probability

32.1

Introduction to probability

32.2

Organizing outcomes

32.3

Probability of independent events

32.4

Comparing experimental and theoretical probability

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