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  • Quadratic Equations | Assess

  • Quadratic Equations | Study

  • Simple Equations | Assess

  • Simple Equations | Study

  • Acids, Bases and Salts | Assess

  • Acids, Bases and Salts | Study

  • COAL AND PETROLEUM | Assess

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  • Data Handling | Study

  • Quadratic Equations | Assess

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    • Quadratic Equations | Study

      Mind Map Overal Idea Content Speed Notes Quick Coverage Content : (Scroll down till end of the page) Study Tools Audio, Visual & Digital Content Content … Key Terms Topic Terminology Term Important Tables Table: . Assessments Test Your Learning readmore

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      • Simple Equations | Assess

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        • Simple Equations | Study

          Mind Map Overal Idea Content Speed Notes Quick Coverage An equation isa condition ona variable suchthat two expressions in the variable should have equalvalue. Thevalue of thevariable for whichthe equation issatisfied is called the solution ofthe equation. An equation remains the same if the LHSand the RHSare interchanged. (Scroll down till end of the page) readmore

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          An equation isa condition ona variable suchthat two expressions in the variable should have equalvalue.

          Thevalue of thevariable for whichthe equation issatisfied is called the solution ofthe equation.

          An equation remains the same if the LHSand the RHSare interchanged. (Scroll down till end of the page)

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          In case ofthe balanced equation, if we add the same number to both thesides, or subtract the same number from both the sides,

          or

          multiply both sidesby the same number, or divide both sidesby the samenumber, the balance remains un disturbed,

          i.e.,the value of the LHS remains equal to the value of the RHS The above property gives a systematic method of solving an equation.

          We carry out a series of identical mathematical operations on the two sides of the equation in such a waythat on oneof the sides we get justthe variable. Thelast step isthe solution of the equation.

          Transposing means moving to the other side.

          Transposition of a number has the same effect as adding same number to (or subtracting the same number from) both sides of the equation.

          Whenyou transpose a number fromone side ofthe equation tothe other side, you change itssign.

          For example, transposing +3 fromthe LHS tothe RHS in equation x + 3 = 8 gives x = 8 – 3 (= 5).

          We can carry out the transposition of an expression in thesame way as the transposition of a number.

          We havelearnt how to construct simple algebraic expressions corresponding to practical situations.

          Wealso learnt how,using the technique of doing thesame mathematical operation (for example adding the samenumber) on bothsides, we could build an equation starting fromits solution.

          Further, we also learnt that we could relate a given equation tosome appropriate problem/puzzlefrom the equation. practical situation and build a practical word.

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          • Acids, Bases and Salts | Assess

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            • Acids, Bases and Salts | Study

              Mind Map Overal Idea Content Speed Notes Quick Coverage The taste of the food is due to the presence of acids and bases in them. Acids Content Study Tools Audio, Visual & Digital Content ACIDS, BASES AND SALTS | FULL NOTES The taste of the food is due to the presence of acids and bases readmore

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              The taste of the food is due to the presence of acids and bases in them.

              Acids

              • Acids are defined as the substances which produce hydrogen ions or Hydronium ions (H3O+) in water. For Example, Sulphuric Acid, Hydrochloric, Nitric Acid, Acetic Acid etc.
              • They taste sour.
              • Acids turn blue litmus to red. This is used as a confirmation test for the presence of acid.
              • When acids react with metals, gases are evolved. (Scroll down till the end…)

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              • COAL AND PETROLEUM | Assess

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                • Data Handling | Assess

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                  • Data Handling | Study

                    Mind Map Overal Idea Content Speed Notes Quick Coverage The collection, recording and presentation of data help us organiseour experiences and draw inferences from them. Before collecting data we need to know what we would use it for. The data that is collected needs to be organised in a propertable, so that it becomeseasy to readmore

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                    The collection, recording and presentation of data help us organiseour experiences and draw inferences from them.

                    Before collecting data we need to know what we would use it for.

                    The data that is collected needs to be organised in a propertable, so that it becomeseasy to understand and interpret (Scroll down till end of the page)

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                    Average is a numberthat represents or shows the central tendencyof a group of observations or data.

                    Arithmetic mean is one of the representative values of data.

                    Mean = sum of all observations/ Number of observations.

                    Mode is another form of central tendency or representative value.

                    The mode of a set of observations is the observation that occurs most often.

                    If each of the value in a data is occurring one time, then all are mode.

                    Sometimes we also say that this data has no mode since none of them is occurring frequently.

                    Median is also a form of representative value.

                    It refers to the value which lies in the middle of the data with half of the observations above it and the other half below it.

                    .

                    A bar graph is a representation of numbers using bars of uniform widths.

                    Double bar graphshelp to comparetwo collections of data at a glance.

                    Double bar graphshelp to comparetwo collections of data at a glance.

                    There are situations in our life, that are certain to happen, some that are impossible and some that may or may not happen.

                    The situation that may or may not happen has a chanceof happening.

                    Probability: A branch of mathematics that is capable of calculating the chance or likelihood of an event taking place (in percentage terms).

                    If you have 10 likelihoods and you want to calculate the probability of 1 event taking place,it is said that its probability is 1/10 or event has a 10% probability of taking place.

                    Events that have many possibilities can have probability between 0 and 1.

                    Important Formulae Data Handling

                    1. A trial is anaction which results in one or several outcomes. 2. An experiment in whichthe result ofa trial cannot be predicted inadvance is called a random experiment.

                    3. An event associated to a random experiment is thecollection of someoutcomes of theexperiment.

                    4. An event associated witha random experiment is said tohappen if anyone of theoutcomes satisfying thedefinition of theevent is anoutcome of theexperiment when it is performed.

                    5. The Empirical probability ofhappening of an event E is defined as: P(E)= Number of trials in which the event happened/ Total number of trials.

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