{"id":644,"date":"2023-09-26T15:36:38","date_gmt":"2023-09-26T15:36:38","guid":{"rendered":"http:\/\/localhost\/ecole9ja\/?p=644"},"modified":"2023-09-26T15:42:12","modified_gmt":"2023-09-26T15:42:12","slug":"week-2-jss-1-third-term-mathematics-lesson-notes","status":"publish","type":"post","link":"https:\/\/ecolebooks.com\/nigeria\/posts\/week-2-jss-1-third-term-mathematics-lesson-notes\/","title":{"rendered":"Week 2 – Jss 1 Third Term Mathematics Lesson Notes"},"content":{"rendered":"

WEEK 2:
\n<\/strong> TOPIC: GEOMETRY (PLANE SHAPES AND THEIR PROPERTIES)
\n<\/strong>There are two types of plane shapes
\nRegular and Irregular shapes.
\n<\/strong><\/p>\n

    \n
  1. TRIANGLES:<\/strong> Triangles is a three sides plane shapes with three angles.
    \n\t\t\t\t\t<\/strong><\/li>\n<\/ol>\n

    Types and Properties of Triangles
    \n<\/h3>\n

    Equilateral Triangles
    \n\tTriangles with all three sides equal in length and all three angles equal in magnitude, are called equilateral triangles. Since the angles in a triangle sum to 180\u00b0 and the size of each angle is the same in an equilateral triangle, the angles are all 60\u00b0.
    \n\"\"
    \n\tIsosceles Triangles
    \n\tIsosceles triangles are triangles with two sides equal in length and two angles equal in magnitude.
    \n\"\"
    \n\tScalene Triangles
    \n\tA scalene triangle is one which has no sides equal in length and no angles equal in magnitude.
    \n\"\"
    \n\tRight-Angled Triangles
    \n\tRight-angled triangles are triangles with one of their angles equal to 90\u00b0 (i.e. a right angle).
    \n\"\"<\/p>\n

    QUADRILATERALS
    \n<\/h2>\n

    Quadrilateral just means “four sides” (quad<\/em> means four, lateral <\/em>means side).A Quadrilateral has four-sides<\/strong>, it is 2-dimensional<\/strong> (a flat shape), closed<\/strong> (the lines join up), and has straight<\/strong> sides.<\/p>\n

    Types of Quadrilaterals
    \n<\/h2>\n

    There are special types of quadrilateral:
    \n\"\"\/
    \n\t\tSome types are also included in the definition of other types! For example a square<\/strong>, rhombus<\/strong> and rectangle<\/strong> are also parallelograms<\/em><\/strong>.
    \nTYPES AND PROPERTIES OF QUADRILATERALS
    \n<\/strong>Quadrilaterals are any four-sided figure, joined by four straight lines, that is, Quadrilaterals are four-sided polygons.
    \nProperties of Quadrilaterals:
    \n-Four sides.
    \n-Four vertices (corners).
    \n-Interior angles sum to 360\u00b0<\/sup>.
    \n-Exterior angles sum to 360\u00b0<\/sup>.
    \nThings to Know:<\/p>\n

    \u00a0-Diagonals are line segments that join two opposite vertices (corners).
    \n\"\"
    \n\t\t-Two sides are adjacent, if they share a common vertex.
    \n\"\"
    \n\t\t-Two angles are adjacent, if they share a common side.
    \n\"\"
    \n\t\tRECTANGLE
    \n<\/strong>\"\"\/
    \n\t\tA closed planar quadrilateral with opposite sides of equal lengths \"\"\/and \"\"\/, and with four right angles. A square is a degenerate rectangle with \"\"\/. The area of the rectangle is \"\"\/ and its polygon diagonals\"\"\/and \"\"\/are of length A rectangle is a four-sided shape where every angle is a right angle (90\u00b0). Also opposite sides<\/strong> are parallel and of equal length.<\/p>\n

    \u00a0<\/p>\n

    \n\n\n\n\n\n
    \"\"\/<\/td>\n\u00a0<\/td>\n\u00a0\u00a0<\/td>\n<\/tr>\n
    \"\"\/<\/td>\nmeans “right angle”<\/em><\/td>\n<\/tr>\n
    \"\"\/and\"\"\/<\/td>\nshow equal sides<\/em><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n

    \u00a0RECTANGLE
    \n\t\t\"\"<\/p>\n

    \u00a0RHOMBUS
    \n<\/strong>\"\"\/
    \n\t\tA quadrilateral with both pairs of opposite sides parallel and all sides the same length, i.e., an equilateralparallelogram. The word rhomb is sometimes used instead of rhombus, and a rhombus is sometimes also called a diamond. A rhombus with \"\"\/is sometimes called a lozenge.
    \nThe polygon diagonals\"\"\/and \"\"\/of a rhombus are perpendicular and satisfy <\/p>\n

    \n\n\n\n
    \"\"\/<\/td>\n(1) <\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n

    \u00a0<\/p>\n

    THE RHOMBUS
    \n<\/h2>\n

    \"\"\/
    \n\tA rhombus is a four-sided shape where all sides have equal length. Also opposite sides are parallel and<\/em> opposite angles are equal.
    \nAnother interesting thing is that the diagonals (dashed lines in second figure) meet in the middle at a right angle. In other words they “bisect” (cut in half) each other at right angles.
    \nA rhombus is sometimes called a rhomb<\/strong> or a diamond<\/strong>.<\/p>\n

    \u00a0Rhombus
    \n\t\t\"\"
    \n\t\tSQUARE
    \n<\/em><\/strong>\"\"\/
    \n\t\t\t\t<\/em><\/strong>The term “square” can be used to mean either a square number (“\"\"\/ is the square of \"\"\/“) or a geometric figure consisting of a convex quadrilateral with sides of equal length that are positioned at right angles to each other as illustrated above. In other words, a square is a regular polygon with four sides.
    \nThe perimeter of a square with side length \"\"\/is <\/p>\n

    \n\n\n\n\n\n
    \"\"\/ and the Area is \"\"\/<\/td>\n(1) <\/td>\n<\/tr>\n
    \u00a0<\/td>\n\u00a0<\/td>\n<\/tr>\n
    \u00a0<\/td>\n(2) <\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n

    Square
    \n\t\t\"\"<\/p>\n

    THE PARALLELOGRAM
    \n<\/h2>\n

    \"\"\/
    \n\tA parallelogram has opposite sides parallel and equal in length. Also opposite angles are equal (angles “a” are the same, and angles “b” are the same).
    \nNOTE: Squares, Rectangles and Rhombuses are all Parallelograms! <\/p>\n

    \u00a0Parallelogram
    \n\t\t\"\"
    \n\t\tTrapezium
    \n\t\t\"\"
    \n\t\tIsosceles Trapezium
    \n\t\t\"\"
    \n\t\tKite
    \n\t\t\"\"
    \n\t\tKITE
    \n<\/strong>\"\"\/
    \n\t\tA planar convex quadrilateral consisting of two adjacent sides of length \"\"\/and the other two sides of length \"\"\/. The rhombus is a special case of the kite, and the lozenge is a special case of the rhombus. The area of a kite is given by
    \n\"\"\/<\/p>\n

    \n\n\n\n
    \u00a0<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n

    The Kite
    \n<\/h2>\n

    \"\"\/It has two pairs of sides. Each pair is made up of adjacent sides (they meet) that are equal in length. The angles are equal where the pairs meet. Diagonals (dashed lines) meet at a right angle, and one of the diagonal bisects (cuts equally in half) the other.<\/p>\n\n\n\n
    \u00a0<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

    IRREGULAR QUADRILATERALS
    \n<\/h2>\n

    The only regular quadrilateral is a square. So all other quadrilaterals are irregular<\/strong>.
    \n\u00a0\"\"\/<\/p>\n

    The “Family Tree” Chart
    \n<\/h2>\n

    Quadrilateral definitions are inclusive<\/strong>.<\/p>\n

    Example: a square is also a rectangle.
    \n<\/h3>\n

    So we include<\/strong> a square in the definition of a rectangle.
    \n(We don’t<\/strong> say “Having all 90\u00b0 angles makes it a rectangle except when all sides are equal then it is a square.”)<\/em>
    \n\t\t\tThis may seem odd, as in daily life we think of a square as not<\/strong> being a rectangle … but in mathematics it is<\/strong>.
    \nUsing the chart below you can answer such questions as:<\/p>\n

      \n
    • Is a Square a type of Rectangle? (Yes)\n<\/li>\n<\/ul>\n
        \n
      • Is a Rectangle a type of Kite? (No)\n<\/li>\n<\/ul>\n

        \"\"\/
        \n\t\u00a0
        \n\u00a0Do these
        \n\"\"\/<\/p>\n

        \u00a0Top of Form<\/p>\n

        \u00a0Bottom of Form
        \nTop of Form
        \nBottom of Form<\/p>\n

        \u00a0
        \n\u00a0
        \n\u00a0
        \n\u00a0ASSIGNMENT
        \n\"\"\/
        \n\t\tWrite at least three properties each of the following shapes<\/p>\n","protected":false},"excerpt":{"rendered":"

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