- 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".

Apart from the stuff given above, if you want to know more about "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**