■ Absolute value
● Absolute value of a number
● Distance between two points
■ Arcs
● Angles subtended by a given arc on the alternate arc
● Central angle
● Cyclic quadrilaterals
● Length of arc
● Sector
● Segments and angles in a circle
■ Arithmetic progressions
■ Circles
● Angles inside semi-circles
● Angles subtended by a given arc on the alternate arc
● Area of circles
● Centre of circles and chords
● Chords Chords (part 2)
● Circle through 2 points and 3 points
● Circumcircle of a triangle
● Cyclic quadrilaterals
● Irrational numbers graphical representation using chords inside circles
● Length of Chords
● Perimeter
● Rectangle into another rectangle of equal area using chords inside circles
● Rectangle into square of equal area using chords inside circles
● Sector
● Segments and angles in a circle
■ Construction of Quadrilaterals
● Parallelogram
● Rhombus
■ Data handling
● Bar graph [2]
● Frequency
● Frequency distribution table
◆ Discrete frequency distribution table
◆ Grouped frequency distribution table
● Frequency polygons
● Histogram [2]
● Tally marks
● Pie charts
◆ Central angle
◆ Sector of a circle
● Probability
■ Decimals
● Addition of Decimals
● Comparing Decimals
● Number lines for Decimals
● Metric lengths as Decimals
● Metric weights as Decimals
● Metric volumes as Decimals
● Money as Decimals
● Place values in Decimals
● Recurring Decimals
● Subtraction of Decimals
■ Equations
● Equations in two variables
◆ Solution using Identities
■ Excircles or escribed circles
■ Fractions
● Addition of fractions
◆ Algebraic expressions
● Centimeter - A fraction of a metre
● Comparing fractions
◆ Same Denominator
◆ Same Numerator
● Cross products [2]
● Denominator
● Equivalent fractions [2]
● Like fractions
● Mixed fractions
● Multiplication and division of fractions
● Numerator
● Proper fractions
● Simplest form
● Subtraction of fractions
◆ Algebraic expressions
■ Graphs
● Bar graph
● Cartesian coordinate system
◆ Part II
● Coordinates
◆ Distance between points
◆ Distance formula
◆ Equation of circle
◆ Equation of line
◆ Midpoint formula
◆ Part II
◆ Part III
◆ Section formula
◆ Slopes of perpendicular lines
● Comparison graphs
● Scale
◆ Scales of Maps and drawings
• Reducing scales and enlarging scales
● Plotting with precision
● Time-Distance graph
● Time-Temperature graph
■ Heron's formula to find area of triangles
■ Incircles
■ Integers
● Adding a positive number and negative number
● Adding two negative numbers
● Negative numbers
● Number line
● Subtracting a negative number from another number (+ve or -ve)
■ Lines
● Parallel lines
● Division of lines
■ Percentage
● Comparing quantities
● Percentage and Ratios
● Percentage decrease
● Percentage Increase
● Percentage of a quantity
◆ Reverse problems
■ Polynomials Part I Part II
● Conditions
● Terms, coefficients, constants, variables
● Operations
● Remainder
■ Probability Part I . Part II Part III
● Complementary event, elementary eventt
● Impossible event, Sure event
■ Proportions. Part II
● Direct Proportions
◆ Angular measurements
◆ Graphs of Direct proportions
◆ Scales of Maps and drawings
● Inverse proportions
◆ Angular measurements
◆ Graphs of Inverse proportions
■ Quadratic equations
● Formula
■ Quadrilaterals
● Area
◆ Parallelogram
◆ Parallelogram (unchanging areas)
◆ Quadrilaterals in general
◆ Rhombus
◆ Isosceles Trapezium
◆ Non-Isosceles Trapezium
● Construction
◆ Parallelogram
◆ Quadrilaterals of any shapes
◆ Rhombus
◆ Trapezium (Isosceles)
◆ Trapezium (Non Isosceles)
● Cyclic quadrilaterals
■ Ratios
● Equivalent ratios
● Proportions
● Ratios as fractions
■ Real numbers
■ Second degree equations
● Formula
■ Segments and angles in a circle
■ Sequences
■ Solids
● Cones
◆ Surface area
◆ Volume
● Cylinders
◆ Surface area
◆ Volume
● Prisms
◆ Surface area
◆ Volume
● Pyramids (Square)
◆ Surface area
◆ Volume
● Spheres
◆ Surface area
◆ Volume
■ Statistics Part I Part II Part III
● Mean
◆ Direct method and Assumed mean method
◆ Exact mean and Approximate mean
◆ Step deviation method
● Median Part III
● Mode Part III
● Ogive curves
■ Tangents to circles
● Excircles or escribed circles
● Heron's formula to find area of triangles
● Incircles or inscribed circles
■ Triangles
● Area
◆ Area of equilateral triangles
◆ Triangles between Parallel lines
◆ Triangles with same area as a given quadrilateral
● Altitude
● Congruence
◆ Correspondence
◆ SSS Criterion for congruence
● Constructiom of Triangles
● Division of Triangles
◆ By a median
◆ By an angle bisector
◆ By parallel lines
● Equilateral Triangles
◆ Area of equilateral triangles
◆ Height of equilateral triangles
● Exterior angle of a Triangle
● Interior angles (sum) of a Triangle
● Isosceles Triangles
● Median
● Pythagoras Theorem
◆ Converse of Pythagoras Theorem
● Similarity of triangles
◆ Scale factor
● Sum and difference of two sides
■ Trigonometry
● Trigonometry related to circles
cont.
● Absolute value of a number
● Distance between two points
■ Arcs
● Angles subtended by a given arc on the alternate arc
● Central angle
● Cyclic quadrilaterals
● Length of arc
● Sector
● Segments and angles in a circle
■ Arithmetic progressions
■ Circles
● Angles inside semi-circles
● Angles subtended by a given arc on the alternate arc
● Area of circles
● Centre of circles and chords
● Chords Chords (part 2)
● Circle through 2 points and 3 points
● Circumcircle of a triangle
● Cyclic quadrilaterals
● Irrational numbers graphical representation using chords inside circles
● Length of Chords
● Perimeter
● Rectangle into another rectangle of equal area using chords inside circles
● Rectangle into square of equal area using chords inside circles
● Sector
● Segments and angles in a circle
■ Construction of Quadrilaterals
● Parallelogram
● Rhombus
■ Data handling
● Bar graph [2]
● Frequency
● Frequency distribution table
◆ Discrete frequency distribution table
◆ Grouped frequency distribution table
● Frequency polygons
● Histogram [2]
● Tally marks
● Pie charts
◆ Central angle
◆ Sector of a circle
● Probability
■ Decimals
● Addition of Decimals
● Comparing Decimals
● Number lines for Decimals
● Metric lengths as Decimals
● Metric weights as Decimals
● Metric volumes as Decimals
● Money as Decimals
● Place values in Decimals
● Recurring Decimals
● Subtraction of Decimals
■ Equations
● Equations in two variables
◆ Solution using Identities
■ Excircles or escribed circles
■ Fractions
● Addition of fractions
◆ Algebraic expressions
● Centimeter - A fraction of a metre
● Comparing fractions
◆ Same Denominator
◆ Same Numerator
● Cross products [2]
● Denominator
● Equivalent fractions [2]
● Like fractions
● Mixed fractions
● Multiplication and division of fractions
● Numerator
● Proper fractions
● Simplest form
● Subtraction of fractions
◆ Algebraic expressions
■ Graphs
● Bar graph
● Cartesian coordinate system
◆ Part II
● Coordinates
◆ Distance between points
◆ Distance formula
◆ Equation of circle
◆ Equation of line
◆ Midpoint formula
◆ Part II
◆ Part III
◆ Section formula
◆ Slopes of perpendicular lines
● Comparison graphs
● Scale
◆ Scales of Maps and drawings
• Reducing scales and enlarging scales
● Plotting with precision
● Time-Distance graph
● Time-Temperature graph
■ Heron's formula to find area of triangles
■ Incircles
■ Integers
● Adding a positive number and negative number
● Adding two negative numbers
● Negative numbers
● Number line
● Subtracting a negative number from another number (+ve or -ve)
■ Lines
● Parallel lines
● Division of lines
■ Percentage
● Comparing quantities
● Percentage and Ratios
● Percentage decrease
● Percentage Increase
● Percentage of a quantity
◆ Reverse problems
■ Polynomials Part I Part II
● Conditions
● Terms, coefficients, constants, variables
● Operations
● Remainder
■ Probability Part I . Part II Part III
● Complementary event, elementary eventt
● Impossible event, Sure event
■ Proportions. Part II
● Direct Proportions
◆ Angular measurements
◆ Graphs of Direct proportions
◆ Scales of Maps and drawings
● Inverse proportions
◆ Angular measurements
◆ Graphs of Inverse proportions
■ Quadratic equations
● Formula
■ Quadrilaterals
● Area
◆ Parallelogram
◆ Parallelogram (unchanging areas)
◆ Quadrilaterals in general
◆ Rhombus
◆ Isosceles Trapezium
◆ Non-Isosceles Trapezium
● Construction
◆ Parallelogram
◆ Quadrilaterals of any shapes
◆ Rhombus
◆ Trapezium (Isosceles)
◆ Trapezium (Non Isosceles)
● Cyclic quadrilaterals
■ Ratios
● Equivalent ratios
● Proportions
● Ratios as fractions
■ Real numbers
■ Second degree equations
● Formula
■ Segments and angles in a circle
■ Sequences
■ Solids
● Cones
◆ Surface area
◆ Volume
● Cylinders
◆ Surface area
◆ Volume
● Prisms
◆ Surface area
◆ Volume
● Pyramids (Square)
◆ Surface area
◆ Volume
● Spheres
◆ Surface area
◆ Volume
■ Statistics Part I Part II Part III
● Mean
◆ Direct method and Assumed mean method
◆ Exact mean and Approximate mean
◆ Step deviation method
● Median Part III
● Mode Part III
● Ogive curves
■ Tangents to circles
● Excircles or escribed circles
● Heron's formula to find area of triangles
● Incircles or inscribed circles
■ Triangles
● Area
◆ Area of equilateral triangles
◆ Triangles between Parallel lines
◆ Triangles with same area as a given quadrilateral
● Altitude
● Congruence
◆ Correspondence
◆ SSS Criterion for congruence
● Constructiom of Triangles
● Division of Triangles
◆ By a median
◆ By an angle bisector
◆ By parallel lines
● Equilateral Triangles
◆ Area of equilateral triangles
◆ Height of equilateral triangles
● Exterior angle of a Triangle
● Interior angles (sum) of a Triangle
● Isosceles Triangles
● Median
● Pythagoras Theorem
◆ Converse of Pythagoras Theorem
● Similarity of triangles
◆ Scale factor
● Sum and difference of two sides
■ Trigonometry
● Trigonometry related to circles
cont.
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