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Geometric Relations: Rotational Symmetry 150 150 SchoolTutoring Academy

Geometric Relations: Rotational Symmetry

A shape with rotational symmetry looks the same after a certain amount of rotation. An object may have more than one rotational symmetry. The point around which the shape is rotated is called the center of rotation, and the smallest angle needed to turn is called the angle of rotation.  The image is rotated (around…

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Geometric Relations: Reflection Symmetry 150 150 SchoolTutoring Academy

Geometric Relations: Reflection Symmetry

A shape is said to be symmetric if it is exactly like another if flipped, slid or turned. The line of symmetry divides the shape into symmetry. In two-dimensional shapes there is a line of symmetry, in three-dimensional figures a plane of symmetry. The line and plane of symmetry can be in any direction. A…

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Grammar: Understanding Past Continuous Tense 150 150 SchoolTutoring Academy

Grammar: Understanding Past Continuous Tense

Continuous tenses are also known as progressive tenses. Past continuous tense uses present participle with ‘ing’. The past continuous tense is an important tense used to express action at a particular moment in the past. The action started before that moment but has not finished at that moment. More uses of Past continuous tense: to…

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Understanding Simple Past Tense 150 150 SchoolTutoring Academy

Understanding Simple Past Tense

Past tense is used to express actions started and finished in past. Simple past tense is type of past tense used: To express action completed in past Example: I went to museum yesterday. To express duration in past Example: I lived here for 5 years. To express habits in the past Example: She worked here…

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Elementary Operations (Row/Column Operations) on Matrices 150 150 SchoolTutoring Academy

Elementary Operations (Row/Column Operations) on Matrices

Row operations: a)      Interchanging of two rows: We can interchange any two rows in a matrix. The interchanging of ith and jth rows is symbolically denoted by Ri ↔ Rj. b)      Multiplying a row by a scalar: We can multiply any row of a scalar. Multiplying ith row by a scalar ‘m’ is symbolically denoted…

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Addition of Matrices 150 150 SchoolTutoring Academy

Addition of Matrices

Addition of matrices: If two matrices A and B are of  the same order mxn, then the sum A+B is of the same order mxn and contains the elements obtained by adding the corresponding elements of A and B. Scalar multiplication: If A is a matrix of order mxn and ‘k’ is a scalar then…

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Framing a Quadratic Equation 150 150 SchoolTutoring Academy

Framing a Quadratic Equation

Quadratic equation: A quadratic equation is an equation with degree (highest power) 2. Example: i)                    x2 + 5x + 6 = 0; ii)                   x2 – x – 6 = 0. Root or solution: A root (a solution) of a quadratic equation is a value which satisfies the equation. Example: i)                    -3 is a root of…

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Understanding Present Perfect Continuous Tense 150 150 SchoolTutoring Academy

Understanding Present Perfect Continuous Tense

The present tense locates an event or a situation in present time. Present perfect continuous tense is used to express an action that started in past and is still going on. Example: They have been living in this city for five years. Rules ‘Has been’ is used with singular subjects ‘Have been’ is used with…

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Understanding Present Perfect Tense 150 150 SchoolTutoring Academy

Understanding Present Perfect Tense

The present tense locates an event or a situation in present time. Present perfect tense is a type of present tense which is used: For the action that has completed e.g. We have reached school. For past experience for which time is not given e.g. I have worked here. For a past experience e.g. We…

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Understanding Present Continuous Tense 150 150 SchoolTutoring Academy

Understanding Present Continuous Tense

The present tense locates an event or a situation in present time. Present continuous tense is type of present tense used: To show an action going on at present e.g. I am writing letter. To express an action that is planned to happen in future e.g. We are going for movie tonight. To indicate an…

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