Plane Figures and Solid Shapes: What are Dimensions?ĭimensions in mathematics are the measure of the size or distance of an object or region or space in one direction. Factorisation by Taking Out Common Factors.Comparing Very Large and Very Small Numbers.Use of Exponents to Express Small Numbers in Standard Form.Negative Exponents and Laws of Exponents.Decimal Number System Using Exponents and Powers.Concept of Surface Area, Volume, and Capacity.Nets for Building 3-d Shapes - Cube, Cuboids, Cylinders, Cones, Pyramid, and Prism.Multiplication of Algebraic Expressions.Types of Algebraic Expressions as Monomials, Binomials, Trinomials, and Polynomials.Terms, Factors and Coefficients of Expression.Applications of Compound Interest Formula.Rate Compounded Annually Or Half Yearly (Semi Annually).Deducing a Formula for Compound Interest.Concept of Principal, Interest, Amount, and Simple Interest.Sales Tax, Value Added Tax, and Good and Services Tax.Concepts of Cost Price, Selling Price, Total Cost Price, and Profit and Loss, Discount, Overhead Expenses and GST.Finding the Cube Roots of the Cubic Numbers Through the Estimation Method.Cube Root Through Prime Factorisation Method.Some Interesting Patterns of Cube Numbers.Finding Square Root Through Prime Factorisation.Finding Square Root Through Repeated Subtraction.Some More Interesting Patterns of Square Number.Concept of Pie Graph (Or a Circle-graph).Graphical Representation of Data as Histograms.Constructing a Quadrilateral When Three Sides and Two Included Angles Are Given.Constructing a Quadrilateral When Two Adjacent Sides and Three Angles Are Known.Constructing a Quadrilateral When Two Diagonals and Three Sides Are Given.Constructing a Quadrilateral When the Lengths of Four Sides and a Diagonal Are Given.Property: The diagonals of a square are perpendicular bisectors of each other.Property: The Diagonals of a Rectangle Are of Equal Length.Property: The diagonals of a rhombus are perpendicular bisectors of one another.Property: The diagonals of a parallelogram bisect each other.Property: The adjacent angles in a parallelogram are supplementary.Property: The Opposite Angles of a Parallelogram Are of Equal Measure.Property: The Opposite Sides of a Parallelogram Are of Equal Length.Concept of Quadrilaterals - Sides, Adjacent Sides, Opposite Sides, Angle, Adjacent Angles and Opposite Angles.Exterior Angles of a Polygon and Its Property.Concept of Polygons - Side, Vertex, Adjacent Sides, Adjacent Vertices and Diagonal. Different Types of Curves - Closed Curve, Open Curve, Simple Curve.Some More Applications on the Basis of Solving Equations Having the Variable on Both Sides.
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