March 9, 2016 Grade 9, Math, Surface Areas and Volumes

SOLID Solids are three-dimensional objects. In sketching, two-dimensional shapes are used to create the illusion of three-dimensional solids. Solid figures have a width, a depth, and a height.watch Solids Videos to learn more. A rectangular prism is a solid figure that has six sides, called faces, that are rectangles. Cubes are just a special case of rectangular prisms. […]

March 9, 2016 Grade 9, Math, Surface Areas and Volumes

CUBE A cuboid, whose length, breadth and height are all equal, is called a cube. A cube has 6 equal and plane surfaces. All the faces of a cube are square in shape. watch Cube Videos to learn more… The perimeter of a shape is defined as the distance around the shape. If each edge of […]

March 9, 2016 Grade 9, Math, Statistics

MODE The modal value of a set of data is the most frequently occurring value. The “Mode” for a data set is the element that occurs the most often. It is not uncommon for a data set to have more than one mode. This happens when two or more elements accur with equal frequency in […]

March 9, 2016 Grade 9, Math, Surface Areas and Volumes

Mensuration Mensuration is a branch of mathematics that deals with the measurement of areas and volumes of various geometrical figures. Figures such as cubes, cuboids, cylinders, cones and spheres have volume and area. Mensuration deals with the development of formulas to measure their areas and volumes.Watch Mensuration Video to learn more. Mensuration is the skill of […]

March 9, 2016 Coordinate Geometry, Grade 9, Math

VOLUME AND SURFACE AREA OF SPHERE A sphere is the set of all points in three-dimensional space whose distance from a fixed point O (the centre), is less than or equal to r (the radius). Every point on the surface of the sphere lies at distance r from the centre of the sphere. Watch SPHERE […]

March 8, 2016 Grade 9, Math, Statistics

Graphical Representation Of Statistical Data Whenever verbal problems involving a certain situation is presented visually before the learners, it makes easier for the learner to understand the problem and attempt its solution. Similarly, when the data are presented pictorially (or graphically) before the learners, it makes the presentation eye-catching and more intelligible. The learners can […]

March 4, 2016 Grade 9, Math, Statistics

Tabular Representation Of Statistical Data Data are the observed values of a variable. Tabular representation of statistical data is presented in rows and columns.watch Tabular Representation Of Statistical Data Video to learn more. THE TABULATION OF DATA (a) Ungrouped Data Suppose we have a collection of measurements given by numbers. Some may occur only once, […]

March 4, 2016 Grade 9, Math, Probability

PROBABILITY Short description: The probability of an event is its relative frequency (proportion) in the population. The greater the probability the more likely the event will occur. Probability is the science of chance behavior. Chance behavior is unpredictable in the short run but has a regular and predictable pattern in the long run. Long description: […]

March 4, 2016 Grade 9, Math, Statistics

MEDIAN The median value of a set of data is the middle value of the ordered data. That is, the data must be put in numerical order first. The “Median” of a data set is dependant on whether the number of elements in the data set is odd or even.Watch MEDIAN to learn more. First […]

March 4, 2016 Grade 9, Math, Statistics

MEAN The “Mean” is computed by adding all of the numbers in the data together and dividing by the number elements contained in the data set.Watch MEAN VIDEO tio learn more.. To calculate the arithmetic mean of a set of data, add up (sum) all of the data values (x) and then divide the result […]

March 4, 2016 Grade 9, Math, Practical Geometry

VOLUME AND SURFACE AREA OF RIGHT CIRCULAR CYLINDER Short description: If a rectangle revolves about one of its sides and completes a full rotation, the solid formed is called a right circular cylinder. It is called so because, the cylinder has a circular base and its axis is at right angle to the base. The […]

March 4, 2016 Coordinate Geometry, Grade 9, Math

SPHERE A sphere is a solid geometric figure defined as the set of all points equidistant from a common center point. It is perfectly symmetrical, and its surface is uniformly curved, without any edges, vertices or faces. It is the shape made when a semi-circle is rotated around its diameter.watch Sphere Videos to learn more.. […]

March 4, 2016 Grade 9, Math, Surface Areas and Volumes

CUBOID The cuboid has 6 rectangular faces. The opposite rectangular plane surfaces are identical (equal in all respects). It has 8 vertices and 12 edges.Watch CUBOID VIDEO to learn more.. The perimeter of a shape is defined as the distance around the shape. Surface Area of a Cuboid = 2(lb + bh + hl), where […]

March 3, 2016 Coordinate Geometry, Grade 9, Math

Mensuration Mensuration is a branch of mathematics that deals with the measurement of areas and volumes of various geometrical figures. Figures such as cubes, cuboids, cylinders, cones and spheres have volume and area. Mensuration deals with the development of formulas to measure their areas and volumes.watch Mensuration Videos to learn more. Mensuration is the skill of […]

March 3, 2016 Coordinate Geometry, Grade 9, Math

Height And Distances Some times we are required to find the height of a tower , tree, building and distance of a ship from light house, width of a river etc. We cannot measure them accurately , though we can find them using the knowledge of trigonometric ratio.watch Height And Distances Videos to learn more. […]

March 3, 2016 Coordinate Geometry, Grade 9, Math

DISTANCE FORMULA The Distance Formula is a variant of the Pythagorean Theorem.watch Distance Formula of points Videos to learn more. Distance between two points P(x1, y1) and Q(x2, y2) is given by: The Distance Formula is a variant of the Pythagorean Theorem that you used back in geometry. Given the two points (x1, y1) and (x2, y2), the distance between […]

March 3, 2016 Constructions, Grade 9, Math

Construction Of Triangle A triangle is a 3 sided polygon sometimes (but not very commonly) called the trigon. Every triangle has three sides and three angles, some of which may be the same. We can construct triangle in different given measurement. Construction of a triangle when measurements of its three sides are given Construct ΔABC, when […]

March 3, 2016 Constructions, Grade 9, Math

Construction of a Parallelogram A parallelogram is a quadrilateral with both pairs of opposite sides parallel. Or in other words, a parallelogram is a quadrilateral with opposite sides parallel. So, the opposite angles are equal. Watch Construction of a Parallelogram Video to learn more. Steps for the construction Construct a parallelogram ABCD in which AB […]

March 3, 2016 Grade 9, Math, Quadrilaterals

Definition A parallelogram is a quadrilateral with both pairs of opposite sides parallel. Or in other words, a parallelogram is a quadrilateral with opposite sides parallel. So, the opposite angles are equal. Watch Properties of Parallelogram Videos to learn more. PROPERTIES OF PARALLELOGRAMS One special kind of polygons is called a parallelogram. It is a […]

March 2, 2016 Constructions, Grade 9, Math

Escribed Circle Escribed circle is a circle outside of a triangle that is tangent to one of its sides and also to the other two sides that have been extended.Watch Escribed Circle Video to learn more. Escribed circles are also referred to as excircles. As its name ‘excircle’ suggests, an escribed circle is a circle […]

March 2, 2016 Constructions, Grade 9, Math

Definition The incircle of a triangle is that circle which just touches all three sides of the triangle. Each of the triangle’s three sides is a tangent to the circle. The center of the incircle of a triangle is located at the intersection of the angle bisectors of the triangle.Watch Incircle Of a Triangle Video […]

Definition The tangent to a circle is a line in the plane of the circle that intersects the circle in exactly one point. The point where the tangent touches the circle is the point of tangency. Watch Tangent To a Circle Videos to learn more. TANGENT/RADIUS THEOREMS: Any tangent of a circle is perpendicular to […]

March 2, 2016 Constructions, Grade 9, Math

Inscribed Regular Pentagon Inside a Circle In geometry, a pentagon is any five-sided polygon or 5-gon. A regular pentagon is a pentagon which of all sides have equal length and all angles have equal measurement. The inscribed regular pentagon is defined as the circle inscribes the regular pentagon. Or the inscribed regular pentagon is defined as the […]

Exterior Angle Theorem Exterior angle theorem states that if a side of a triangle is produced , then the exterior angle so formed is equal to the sum of the two interior opposite angles.Watch Exterior Angle Theorem Videos to learn more. The exterior angle theorem states that the exterior angle formed when you extend the […]