- Description of sets
- Representation of set
- Descriptive form of set
- Set builder notation
- Roster Form and Set Builder Form
- Different kind of sets
- Operations on sets
- Venn diagrams
- Complement of a set
- Union of sets
- Intersection of sets
- Disjoint sets
- Difference of two sets
- Symmetric difference of two sets
- Representation of set operations using venn diagram
- Venn diagram A U B
- Venn diagram A n B
- Venn diagram of A'
- Venn diagram of B'
- Venn diagram of (AUB)'
- Venn diagram of (AnB)'
- Venn diagram of A\B
- Venn diagram of B\A
- Venn diagram word problems with 2 circles

- Different forms of numbers
- Properties of numbers
- Rational numbers between two rational numbers
- Decimal representation of rational numbers
- Converting Recurring Decimals to Fractions
- Non recurring decimals
- How to determine if a fraction is terminating or repeating
- Classifying numbers rational and irrational
- Properties of real numbers
- Laws of exponents
- Surds and indices
- Index form of surd
- How to express the given surd to its simplest form
- How to express mixed surd into pure surds
- Addition and subtraction of surds
- Multiplication and division of surds
- Simplifying square root expressions with variables
- How to find simplest rationalizing factor

- Writing a number in scientific notation
- Convert between standard and scientific notation
- Operations with scientific notation
- Operations with scientific notation word problems
- Using scientific notation
- Scientific notation practice questions
- Scientific notation rules
- Adding and subtracting with scientific notation
- Multiplying and dividing with scientific notation
- Express the given numbers in scientific notation
- Logarithmic form to exponential form
- Exponential form to logarithmic form
- Evaluate logarithmic equations
- Solving logarithmic equations with variables
- Solving logarithmic equations for x
- Solving logarithmic equations with radicals

- Polynomials
- Terms factors and coefficients
- How to find degree of polynomial
- Classify polynomials based on degree
- Classifying polynomial by number of terms
- Zeros of polynomial
- Division of polynomial
- Remainder theorem
- (a + b)
^{2}= a^{2}+ 2ab + b^{2} - (a - b)
^{2 }= a^{2}- 2ab + b^{2} - (a + b) (a - b) = a
^{2}- b^{2} - (x + a)(x + b) = x
^{2}+ (a+b)x + ab - (a + b + c)
^{2}= a^{2}+ b^{2 + }c^{2}+ 2ab + 2bc + 2ca - Expansion of (a + b)
^{3} - Expansion of (a - b)
^{3} - Factoring polynomials
- Factoring polynomials using algebraic identities
- Factoring quadratics
- Factoring quadratics when a is not equal to 1
- Substitution method
- Linear inequalities in one variable
- Solving linear inequalities in one variable with fractions
- Solving linear inequalities in one variable word problems

- How to calculate length of chord in circle
- How to find radius of circle when length of chord is given
- How to find the distance of a chord from the center of a circle
- How to find radius when length of two parallel chords are given
- Angle subtended by an arc at the centre is double proof
- Angle subtended by an arc at the centre practice
- Properties of chord of a circle
- Applying properties of chord examples

- Trigonometric ratios
- Trigonometric Ratios of Some Special Angles
- Trigonometric Ratios of 30° and 60°
- Trigonometric Ratio of 45°
- Trigonometric Ratios of 0° and 90°
- Find trigonometric ratios using right triangles
- Find trigonometric ratios using right triangles
- Evaluating trigonometric functions of special angles
- Trigonometric ratios for complementary angles

- Quadrants ans axes
- Plotting points on a coordinate plane
- Identify points on a coordinate plane
- Parallel lines in the coordinate plane
- Perpendicular lines in the coordinate plane
- Congruent Triangles on The Coordinate Plane
- Triangles and coordinate proof
- Transformations on the coordinate plane
- Pythagorean theorem in the coordinate plane
- Exploring dilations on the coordinate plane
- Find a missing coordinate using slope
- Area and perimeter in the coordinate plane
- Polygons in the coordinate plane
- Reflections in the coordinate plane
- Distance and area in the coordinate plane

After having gone through the stuff given above, we hope that the students would have understood "9th grade math".

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**WORD PROBLEMS**

**Word problems on simple equations **

**Word problems on linear equations **

**Word problems on quadratic equations**

**Area and perimeter word problems**

**Word problems on direct variation and inverse variation **

**Word problems on comparing rates**

**Converting customary units word problems **

**Converting metric units word problems**

**Word problems on simple interest**

**Word problems on compound interest**

**Word problems on types of angles **

**Complementary and supplementary angles word problems**

**Trigonometry word problems**

**Markup and markdown word problems **

**Word problems on mixed fractrions**

**One step equation word problems**

**Linear inequalities word problems**

**Ratio and proportion word problems**

**Word problems on sets and venn diagrams**

**Pythagorean theorem word problems**

**Percent of a number word problems**

**Word problems on constant speed**

**Word problems on average speed **

**Word problems on sum of the angles of a triangle is 180 degree**

**OTHER TOPICS **

**Time, speed and distance shortcuts**

**Ratio and proportion shortcuts**

**Domain and range of rational functions**

**Domain and range of rational functions with holes**

**Graphing rational functions with holes**

**Converting repeating decimals in to fractions**

**Decimal representation of rational numbers**

**Finding square root using long division**

**L.C.M method to solve time and work problems**

**Translating the word problems in to algebraic expressions**

**Remainder when 2 power 256 is divided by 17**

**Remainder when 17 power 23 is divided by 16**

**Sum of all three digit numbers divisible by 6**

**Sum of all three digit numbers divisible by 7**

**Sum of all three digit numbers divisible by 8**

**Sum of all three digit numbers formed using 1, 3, 4**

**Sum of all three four digit numbers formed with non zero digits**