THEORY OF SETS

• 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

REAL NUMBER SYSTEM

• 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
• Addition and subtraction of surds
• Multiplication and division of surds
• Simplifying square root expressions with variables
  
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SCIENTIFIC NOTATION AND LOGARITHMS

• 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

• 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  =  a² + 2ab + b² 
• (a - b)²  =  a² - 2ab + b² 
• (a + b) (a - b)  = a² - b²
• (x + a)(x + b)  =  x² + (a+b)x + ab
• (a + b + c)²  =  a² + b^2 + c²+ 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

LINES AND ANGLES

• Classify angles
• Complementary angles
• Supplementary angles
• Transversal
• Vertical angles and linear pairs
• Find measures of complementary supplementary vertical and adjacent angles
• Adjacent angles

TRIANGLES

• Triangles
• Congurent triangles
• Similar triangles
• How to prove right triangles are congruent
• SSS Congruence Postulate
• ASA Congruence Postulate
• SAS Congruence Postulate
• AAS Congruence Postulate
• Ordering Triangle Sides and Angles
• How to find the missing sides of similar triangles
• Classifying quadrilateral

CIRCLES

• 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

QUADRILATERALS

• Classifying quadrilateral
• Properties of parallelogram
• Opposite angles of a cyclic quadrilateral examples
• Opposite angles of a cyclic quadrilateral are supplementary proof

MENSURATION

• Sector of a circle
• Area of sector of a circle
• Perimeter of the sector
• Cubes
• Surface area and volume of cube
• Cuboids
• Surface area of cube cuboid and cylinder
• Cylinder
• Surface area of cylinder
• Volume of cylinder
• Cone 
• Surface area of cone
• Volume of cone
• Sphere
• Volume of sphere

TIGNOMETRY

• 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

COORDINATE GEOMETRY

• Quadrants and 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

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