{"id":648,"date":"2023-09-26T15:38:15","date_gmt":"2023-09-26T15:38:15","guid":{"rendered":"http:\/\/localhost\/ecole9ja\/?p=648"},"modified":"2023-09-26T15:42:12","modified_gmt":"2023-09-26T15:42:12","slug":"week-4-jss-1-third-term-mathematics-lesson-notes","status":"publish","type":"post","link":"https:\/\/ecolebooks.com\/nigeria\/posts\/week-4-jss-1-third-term-mathematics-lesson-notes\/","title":{"rendered":"Week 4 – Jss 1 Third Term Mathematics Lesson Notes"},"content":{"rendered":"

WEEK 4\u00a0\u00a0\u00a0\u00a0
\n<\/strong>TOPIC: THREE DIMENSIONAL SHAPES
\n<\/strong>Solid figure are often called 3dimensional shapes. A solid figure is simply anything that occupied space and also has a definite shape.
\nFACES, EDGES AND VERTICES
\n<\/strong>FACE: <\/strong>A face is the surface of a solid which is enclosed by edges.
\nEDGES:<\/strong> An edge of a solid is a line where two faces meet. Note that an edge may be straight or curved
\nVERTEX:<\/strong> A vertex of a solid is a point or corner where three or more edges meet.<\/p>\n

\u00a0TYPES OF SOLID AND THEIR PROPERTIE\"\"\/
\n\t\t\t<\/strong>\"\"\/
\n\t\t\t<\/strong>DO THESE
\n<\/strong>\"\"\/
\n\t\t\t<\/strong>ASSIGNMENT\"\"\/
\n\t\t\t<\/strong>
\n\u00a0ASSIGNMENT:
\n<\/strong>\"\"\/
\n\t\t\t<\/strong>\"\"\/
\n\t\t\t<\/strong>
\n\u00a0APPLICATION<\/p>\n

Surface Area
\n<\/h3>\n

The surface area of a figure, is the total area of all the sides of the figure.
\nTriangular Prism(Right Angle Triangle)
\n\t\"\"
\n\tTo find the surface area of the prism above, follow the steps below.
\nStep 1:\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Divide the figure into smaller shapes.
\nStep 2:\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Find the area of each smaller shape.
\nStep 3: \u00a0\u00a0\u00a0\u00a0\u00a0 Add the areas of each smaller shape.
\nA right-angle triangle prism can be divided into five smaller shapes; two right angle triangles and three rectangles.
\nExample
\nFind the surface area of the prism below.
\n\"\"
\n\t\"\"
\n\t\"\"
\n\t\"\"
\n\tPyramid
\n\tA pyramid is an object which has: a straight sided shape base (a squared, rectangular, trianglular base etc) and \u00a0triangular sides which meet at the top (called the apex).
\n\"\"
\n\t\"\"
\n\t\"\"
\n\tExample
\n\"\"
\n\t\"\"
\n\tCylinder
\n\t\"\"
\n\tTo find the surface area of the cylinder above, follow the steps below.
\nStep 1: \u00a0\u00a0\u00a0\u00a0\u00a0 Divide the figure into smaller shapes.
\nStep 2: \u00a0\u00a0\u00a0\u00a0\u00a0 Find the area of each smaller shape.
\nStep 3: \u00a0\u00a0\u00a0\u00a0\u00a0 Add the areas of each smaller shape.
\nA cylinder can be divided into three segements: two circles and a curved surface area.
\n\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 The area of a circle, A = \u03c0r2<\/sup>
\n\tSince there are two circles in a cylinder, multiply the abover formula by 2, that is:
\n\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 The area of the circles, A = 2\u03c0r2<\/sup>
\n\t\u00a0The curved surface area, C.S.A. = 2\u03c0rh
\nThe area of a cylinder, A = Area of the circles + C.S.A.
\n\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0 = 2\u03c0r2<\/sup> + 2\u03c0rh
\n\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0 = 2\u03c0r (r + h)
\nExample
\n\"\"
\n\tCube
\n\tA cube has 6 sides (faces) of the same surface area. Each side (face) of the cube are squares. Recall, the area of a square, A = L2 <\/sup>.
\n\"\"
\n\tThe surface area of a cube, A = 6L2<\/sup>
\n\tWhere, L is the length of a side of the cube(all the sides of a cube are the same length).
\nExample
\n\"\"
\n\tCuboid
\n\t\"\"
\n\tThe surface area of a cuboid, A =\u00a0 2Lw + 2 Lh + 2wh
\n\u00a0Where, L is the length of the cuboid
\n\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 w is the width of the cuboid
\nAnd,\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 h is the height of the cuboid.
\nExample
\n\"\"
\n\t\"\"
\n\tSphere
\n\tA sphere is a three-dimensional object (such as a ball or the earth) with every point on the surface equidistant (halfway from) from the center.
\nThe surface area of a sphere, A = 4\u03c0r2<\/sup>
\n\tWhere, r is the radius of the sphere.
\n\"\"
\n\tExample
\n\"\"
\n\tSurface Area of a sphere, A = 4 \u03c0r2<\/sup>
\n\t\"\"<\/p>\n

\u00a0\"\"\/<\/p>\n

\u00a0
\n\u00a0
\n\u00a0\"\"\/<\/p>\n

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

\u00a0
\n\u00a0
\n\u00a0
\n\u00a0
\n\u00a0
\n\u00a0
\n\u00a0
\n\u00a0\"\"\/<\/p>\n","protected":false},"excerpt":{"rendered":"

WEEK 4\u00a0\u00a0\u00a0\u00a0 TOPIC: THREE DIMENSIONAL SHAPES Solid figure are often called 3dimensional shapes. A solid…<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1,74],"tags":[],"class_list":["post-648","post","type-post","status-publish","format-standard","hentry","category-posts","category-third-term-jss1-mathematics"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/ecolebooks.com\/nigeria\/wp-json\/wp\/v2\/posts\/648","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/ecolebooks.com\/nigeria\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/ecolebooks.com\/nigeria\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/ecolebooks.com\/nigeria\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/ecolebooks.com\/nigeria\/wp-json\/wp\/v2\/comments?post=648"}],"version-history":[{"count":1,"href":"https:\/\/ecolebooks.com\/nigeria\/wp-json\/wp\/v2\/posts\/648\/revisions"}],"predecessor-version":[{"id":649,"href":"https:\/\/ecolebooks.com\/nigeria\/wp-json\/wp\/v2\/posts\/648\/revisions\/649"}],"wp:attachment":[{"href":"https:\/\/ecolebooks.com\/nigeria\/wp-json\/wp\/v2\/media?parent=648"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/ecolebooks.com\/nigeria\/wp-json\/wp\/v2\/categories?post=648"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/ecolebooks.com\/nigeria\/wp-json\/wp\/v2\/tags?post=648"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}