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  • Respiration in Organisms | Assess

  • THE FUNDAMENTAL UNIT OF LIFE | Study

  • TISSUES | Assess

  • Transportation in Animals and Plants | Study

  • TRIANGLES | Study

  • CONSERVATION OF PLANTS AND ANIMALS | Study

  • Control and Coordination | Assess

  • Cubes and Cube Roots | Assess

  • Cubes and Cube Roots | Study

  • Respiration in Organisms | Assess

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    • THE FUNDAMENTAL UNIT OF LIFE | Study

      Mind Map Overal Idea Content Speed Notes Quick Coverage What are Living organisms made up of?All living organisms are made up of cells. Cell is the basic structural and functional unit of complex organisms. History of cell: Cells were first discovered by Robert Hooke in 1665 with the help of a primitive microscope. Leeuwenhoek, in readmore

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      What are Living organisms made up of?
      All living organisms are made up of cells. Cell is the basic structural and functional unit of complex organisms.

      History of cell:

      Cells were first discovered by Robert Hooke in 1665 with the help of a primitive microscope. Leeuwenhoek, in 1674, with the improved microscope, discovered free-living cells in pond water for the first time. (Scroll down till end of the page)

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      • TISSUES | Assess

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        • Transportation in Animals and Plants | Study

          Mind Map Overal Idea Content Speed Notes Quick Coverage In most of the animals the blood that circulates in the body distributes food and oxygen to different cells of the body. It also carries waste products from different parts of the body for excretion. Circulatory system consists of the heart and blood vessels. In humans, readmore

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          In most of the animals the blood that circulates in the body distributes food and oxygen to different cells of the body.

          It also carries waste products from different parts of the body for excretion.

          Circulatory system consists of the heart and blood vessels.

          In humans, blood flows through arteries and veins and the heart acts as a pumping organ. (Scroll down till end of the page)

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          Blood is the fluid which flows in blood vessels.

          It transport substance like digested food from the small intestine to the other parts of the body.

          Blood consists of plasma, RBC, WBC and platelets.

          Blood is red due to the presence of a red pigment, haemoglobin which binds with oxygen and transport oxygen to various parts.

          Heart rate:The human heart beats about 70 to 80 times per minute in an adult person. This is called heart rate.

          Arteries carry blood from the heart to all parts of the body.

          Veins carry blood from all parts of the body back to the heart.

          excretion: Removal of waste products from the body is called excretion.

          Excretory system of humans consists of two kidneys, two ureters, a urinary bladder, and urethra.

          Salts and urea are removed along with water as sweat.

          Fish excrete waste substances such as ammonia which directly dissolve in water.

          Birds, insects and lizard excrete uric acid in semi-solid form.

          Transportation in plants :

          Water and mineral nutrients are absorbed by roots from the soil.

          xylem: Nutrients are transported along with water to the entire plant via the vascular tissue called xylem.

          phloem: The vascular tissue for the transport of food to the various parts of the plant is phloem.

          A lot of water is lost by plants in the form of vapour through stomata during transpiration.

          Transpiration generates a force which pulls up water absorbed by the roots from the soil, to reach the stem and leaves.

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          • TRIANGLES | Study

            Mind Map Overal Idea Content Speed Notes Quick Coverage Similar Geometric Figures: Two geometric figures which are the same in shape, such that one is simply a copy of the other on a smaller scale or a larger scale, are called similar geometric figures. Two geometric figures are said to be similar if and only readmore

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            Similar Geometric Figures:

            Two geometric figures which are the same in shape, such that one is simply a copy of the other on a smaller scale or a larger scale, are called similar geometric figures.

            Two geometric figures are said to be similar if and only if they have the same shape but not necessarily the same size. Two congruent geometric figures are always similar but converse may or may not be true. (Scroll down till end of the page)

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            Similar Polygons: Two polygons of the same number of sides are similar, if

            (i) their corresponding angles are equal and

            (ii) their corresponding sides are in proportion or their corresponding sides are in the same ratio.

            The same ratio of the corresponding sides is referred to as the representative fraction or the scale factor for the polygons.

            Similar Triangles :

            Two triangles are said to be similar,

            if (i) their corresponding angles are equal and

            ii) their corresponding sides are in proportion (are in the same ratio).

            Basic Proportionality Theorem (or Thales Theorem) : 1

            If a line is drawn parallel to one side of a triangle intersecting the other two sides, then it divides the two sides in the same ratio. Or If a line is drawn parallel to one side of a triangle, intersecting the other two sides in distinct points, the other two sides are divided in the same ratio i .e.. If in ∆ABC, l∥ BC, intersecting in D and E. then

            Converse of Basic Proportionality Theorem :

            If a line divides any two sides of a triangle in the sameratio, the line is parallel to the third side i.e.

            In ∆ABC, if l intersects AB in D and AC in E, such that:

            Criteria for Similarity of Triangles:

            Two triangles are said to be similar, if

            (i) their corresponding angles are equal and (ii) their corresponding sides are in proportion (or are in the same ratio).

            2 (i) AA or AAA Similarity Criterion : If two angles of one triangle are equal to two corresponding angles of another triangle, then the triangles are similar. If two angles of one triangle are respectively equal to the two angles of another triangle, then the third angles of the two triangles are necessarily equal, because the sum of three angles of a triangle is always 180 0 .

            (ii) SAS Similarity Criterion : If one angle of a triangle is equal to one angle of another triangle and the sides including these angles are in the same ratio, then the two triangles are similar. Or If two sides of a triangle are proportional to two corresponding sides of another triangle and the angles included between them are equal, then the triangles are similar.

            iii) SSS Similarity Criterion : If in two triangles, sides of one triangle are proportional (or are in the same ratio) to the sides of the other triangle, then the triangles are similar. If ∆ABC~ ∆PQR by any one similarity criterion, then ∠A=∠P, ∠B=∠Q, ∠C=∠R and

            i.e., A and P, B and Q, C and R are the corresponding vertices, also AB and PQ. BC and QR. CA and RP are the corresponding sides. 3 Areas of Similar Triangles: The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides. – The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding medians. – The ratio of the areas of two similar triangles is equal to the ratio of the squares of their corresponding altitudes. – The ratio of the areas of two similar triangles is equal to the ratio of the squares of their corresponding angle bisectors. Pythagoras Theorem : In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. Converse of Pythagoras Theorem : In a triangle, if the square of one side is equal to the sum of the squares of the other two sides, then the angle opposite the first side is a right angle. If a perpendicular is drawn from the vertex of the right angle of a right triangle to the hypotenuse, the triangles on each side of the perpendicular are similar to the whole triangle and similar to each other i .e ..

            If in ∆ABC, ∠B=90^0 and BD ⊥ AC, then (i) ∆ADB ~ ∆ABC (ii) ∆BDC ~ ∆ABC (iii) ∆ADB ~ ∆BDC

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            • CONSERVATION OF PLANTS AND ANIMALS | Study

              Mind Map Overal Idea Content Speed Notes Quick Coverage Biodiversity: Occurrence of innumerable types of organisms and the whole range of their varieties (biotypes) adapted to different climates, environments and areas. Wildlife sanctuary, national park and bio-sphere reserve are names given to the areas meant for conservation and preservation of forest and wild animals. (Scroll readmore

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              Biodiversity: Occurrence of innumerable types of organisms and the whole range of their varieties (biotypes) adapted to different climates, environments and areas. Wildlife sanctuary, national park and bio-sphere reserve are names given to the areas meant for conservation and preservation of forest and wild animals. (Scroll down till end of the page)

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              Biodiversity refers to the variety of living organisms in a specific area.

              Plants and animals of a particular area are known as the flora and fauna of that area.

              Endemic species are found only in a particular area.

              Endangered species are those which are facing the danger of extinction.

              Red Data Book contains a record of endangered species.

              Migration is the phenomenon of movement of a species from its own habitat to some other habitat for a particular time period every year for a specific purpose like breeding.

              We should save, reuse and recycle paper to save trees, energy and water.

              Reforestation is the restocking of destroyed forests by planting new trees.

              Flora: Different types of plants belonging to an area.

              Example: Silver ferns, sal, teak, mango, etc.

              Fauna: All animals found in an area.

              Example: dog, frog, insects, bull, jackal, etc.

              Endemic Species: Species of plants and animals found exclusively in a particular area.

              These are not naturally found anywhere else.

              Extinct Species: Species of plants and animals which have already been lost.

              Type of Threatened Species:

              (ii) Vulnerable Species: A vulnerable species is a species of animals or plants which are likely to become endangered unless something changes.

              Example: Chinkara deerand black buck, golden langur, etc
              (iii) Rare Species: Species whose population are originally small and scattered in the National Parks: Protective areas reserved exclusively for the betterment of the wildlife. These are established at the approval of legislature.

              Example: Hazaribagh National Park in Jharkhand, Desert National Park in Rajasthan.

              Sanctuaries: Hunting prohibited areas set up by government are known as sanctuaries. These are only for the protection of wild animals.

              Example: Jaldapara in Madarihat (West Bengal), Keoladeo Ghana in Bharatpur (Rajasthan)
              igration: The regular, periodic, two way movements of birds and some animals from their place of residence to some other place along well defined routes. It is linked to seasonal factors, breeding, shortage of foods, etc.

              The sanctuary is known for the migratory birds

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              • Control and Coordination | Assess

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                • Cubes and Cube Roots | Assess

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                  • Cubes and Cube Roots | Study

                    Mind Map Overal Idea Content Speed Notes Quick Coverage Cube number: Number obtained when a number is multiplied by itself three times. 23 = 2 x 2 x 2 = 8, 33 = 3 x 3 x 3=27, etc. Numbers like 1729, 4104, 13832, are known as Hardy – Ramanujan Numbers. They can be expressed readmore

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                    Cube number: Number obtained when a number is multiplied by itself three times. 23 = 2 x 2 x 2 = 8, 33 = 3 x 3 x 3=27, etc.

                    Numbers like 1729, 4104, 13832, are known as Hardy – Ramanujan Numbers. They

                    can be expressed as sum of two cubes in two different ways. (Scroll down till the end of the page).

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                    Numbers obtained when a number is multiplied by itself three times are known as cube numbers. For example 1, 8, 27, … etc.

                    If in the prime factorisation of any number each factor appears three times, then the

                    number is a perfect cube.

                    The symbol

                    denotes cube root. For example

                    Perfect Cube: A natural number is said to be a perfect cube if it is the cube of some natural number. Example: 8 is perfect cube, because there is a natural number 2 such that 8 = 23, but 18 is not a perfect cube, because there is no natural number whose cube is 18.

                    The cube of a negative number is always negative.

                    Properties of Cube of Number:

                    1. Cubes of even number are even.
                    2. Cubes of odd numbers are odd.
                    3. The sum of the cubes of first n natural numbers is equal to the square of their sum.
                    4. Cubes of the numbers ending with the digits 0, 1, 4, 5, 6 and 9 end with digits 0, 1, 4, 5, 6 and 9 respectively.
                    5. Cube of the number ending in 2 ends in 8 and cube of the number ending in 8 ends in 2.
                    6. Cube of the number ending in 3 ends in 7 and cube of the number ending in 7

                    ends in 3.

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