Topics
Basic Concepts in Geometry
Angles
Integers
- Concept of Integers
- Concept for Natural Numbers
- Concept for Whole Numbers
- Negative and Positive Numbers
- Representation of Integers on the Number Line
- Addition of Integers
- Concept of Opposite Numbers
- Concept of Comparing Integers
- Subtraction of Integers
Operations on Fractions
- Concept of Fractions
- Conversion Between Improper Fractions and Mixed Numbers
- Addition of Fraction
- Subtraction of Fraction
- Fraction on the Number Line
- Multiplication of Fraction
- Concept of Reciprocal or Multiplicative Inverse
- Division of Fractions
Decimal Fractions
Bar Graphs
Symmetry
Divisibility
HCF-LCM
Equations
Ratio and Proportion
Percentage
Profit –Loss
Banks and Simple Interest
Triangles and Their Properties
Quadrilaterals
Geometrical Constructions
- Perpendicular Lines
- Drawing a Perpendicular to a Line at a Point on the Line
- Drawing a perpendicular to a line from a point outside the line
- The Perpendicular Bisector
- Drawing the perpendicular bisector of a segment using a compass.
- Carl Gauss’s Clever Trick
Three Dimensional Shapes
Notes
Drawing Symmetrical figures on graph paper:
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Draw a line segment AB and line l.
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Now, measure the perpendicular distance of point A from the line l and take a point A’ at an equal distance from the opposite side of line l.
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Now, measure the perpendicular distance of point B from the line l and take a point B’ at an equal distance from the opposite side of line l.
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Joint point A’B’ as an equal reflection of line segment AB.
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