{"id":13093,"date":"2021-03-26T11:29:05","date_gmt":"2021-03-26T11:29:05","guid":{"rendered":"http:\/\/Enoteprime.com\/?p=13093"},"modified":"2021-04-20T23:53:45","modified_gmt":"2021-04-20T23:53:45","slug":"further-mathematics-Enote-ss1-first-term","status":"publish","type":"post","link":"https:\/\/enoteprime.com\/further-mathematics-Enote-ss1-first-term\/","title":{"rendered":"Further Mathematics Enote SS1 First Term"},"content":{"rendered":"\n

Further Mathematics Note – Enoteprime.com<\/a><\/h2>\n\n\n\n

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FURTHER MATHEMATICS SS1 SCHEME OF WORK FOR FIRST TERM <\/h3>\n\n\n\n

WEEK(S)                              TOPICS<\/p>\n\n\n\n

  1.   General revision and basic concept of set<\/li>
  2.  Operation of set and venn diagram: Union, intersection, compliment, and cardinality of Set.<\/li>
  3. BINARY OPERATION AND BASIC LAWS: (a) definition of binary operation (b) solve simple operation of binary operations e.g a x b = \u2013 2ab (b)Identity law of binary operation.<\/li>
  4. BINARY OPERATION CONTINUES: (a) solve problems and application of laws of binary operation to given problems (b) identity and inverse element (d) draw addition and multiplication table for binary operation of modulo.<\/li>
  5. INDICES: (a) basic laws of indices (b) use of indices laws in solving given problems.<\/li>
  6. INDICIAL EQUATION AND GRAPH OF EXPONENTIAL FUNCTIONS: e.g Y = , where x 1.<\/li>
  7. Review of first half term and periodic test<\/li>
  8. LOGARITHMS; (a) state the laws of logarithms (b) application of law of logarithms to given problems (c) solve problems involving change of base<\/li>
  9. SURD: (a) definition of surd (b) state the rules of surds (c) solve basic operations involving addition, subtraction, multiplication, division and rationalization of surd with the use of conjugate surd.<\/li>
  10. MEASURE OF LOCATION: (a) mean, median and mode (b) estimating mode from histogram of grouped data.(c)estimating the median from histogram of groped data<\/li>
  11. REVISION<\/li>
  12. EXAMINATION<\/li>
  13. EXAMINATION<\/li><\/ol>\n\n\n\n

    REFERENCE MATERIAL<\/strong><\/em><\/p>\n\n\n\n

    New Further Mathematics For Senior Secondary School 1. By Tuthu- Adigun Etal.<\/p>\n\n\n\n

    WEEK 1<\/p>\n\n\n\n

    CONCEPT OF SET<\/h2>\n\n\n\n

    SET: set can be defined as a collection of objects according to a well-defined common element, object, items, or properties. E.g. Mathematical set, drum set, set of spanners, set of screw drivers e.t.c.<\/p>\n\n\n\n

    ELEMENT: This is each member of a set or properties, items in a given set. x A or A = {x}<\/p>\n\n\n\n

    METHOD OF DESCRIBING SETS<\/h3>\n\n\n\n

    THE SET BUILDER\/PROPERTY SET: this is the set that describes the elements of the set by referring to their common properties. Example, W = , Y = {x: x is even numbers between 0 \u2264 x \u2264 10}<\/p>\n\n\n\n

    THE ROSTER\/TABULAR\/LISTING METHOD: This is the actual listing of all the members of a given set. Example, Y = {2,4,6,8,10}.  W = {SUNDAY,MONDAY,TUESDAY,WEDNESDAY,THURSDAY,FRIDAY, SATURDAY)<\/p>\n\n\n\n

    TYPES OF SETS<\/h3>\n\n\n\n

    FINITE SET: Is a set that its elements can be listed or has an end point. i.e. {1,2,4,6,8,9,10}<\/p>\n\n\n\n

    INFINITE SET: Is the set that their element is continuous or impossible to list. i.e. all the natural positive numbers {1,2,3,4,\u2026}<\/p>\n\n\n\n

    EMPTY SET: This is a set that has or contain no element and its represented as {}, \u00d8 or null.<\/p>\n\n\n\n

    EQUALITY SET: This is two set that has the same elements.  i.e. A = {1,3,5,7,9} and B = {1,1,5,3,9,9,7}<\/p>\n\n\n\n

    EQUIVALENT SET: Two sets are said to be equivalent if they both have the same numbers of elements. i.e. X ={a,b,c,d,e,y,z} and P = {1,2,3,4,5,6,7}<\/p>\n\n\n\n

    SUB-SETS: Given two sets  A  and B such that set A  consists of all the elements in set B, then set B is a subset of  set A<\/p>\n\n\n\n

    SUPER-SET: Given two set A and B, if the set A is a SUBSET of set B and there exist at least one element in set B which is not in set A , then the set B is a SUPER-SET of set A    B \u2184 A or A is a proper subset of B, A \u03f2 B<\/p>\n\n\n\n

    ASSESSMENT: work out the following:<\/p>\n\n\n\n