M4 Advanced Mathematics

1st Semester Subject: Advanced Mathematics Number of hours per week: 4 hours per week Level: Mathayom 4 Week Topic Content Assignments/ Marks Unit 1 Authentic Marks Introduction -Definition of a KP A to Sets set Assessment -Examples of set  3 -Describing Sets: Worksheets, a. Sentence form Problem b. Roster/Listing Solving, method Cooperative c. Set builder learning, Think- notation Pair-Share, Advance Study 2 Kinds of Sets -Empty Set or Worksheets,  3  4 Null Set Problem  4 -Finite and Solving, infinite sets Cooperative -Disjoint sets learning, Think- -Equal/Identical Pair-Share, sets Advance Study -Equivalent sets 3 Membership -Element or Worksheets, Relations Member of a set Problem -Subset Solving, -Proper set Cooperative -Power sets learning, Think- -Cardinality of a Pair-Share, set Advance Study 4 Set -Union of Sets Worksheets, Operations -Intersection of Problem Sets Solving, -Complement of Cooperative a set learning, Think-

-Difference of Pair-Share, sets Advance Study 5 Venn -Definition of Worksheets,  4 Diagrams Venn Diagrams Problem -Illustrating sets Solving, through Venn Cooperative Diagrams learning, Think- -Interpreting Pair-Share, Venn Diagrams Advance Study -Shading Venn diagrams -Identifying the shaded region of a Venn Diagram -Solving Word Problems involving sets and Venn diagrams 6 Introduction -Definition of Worksheets,  3 to Logic Logic Problem -Historical Solving, Background Cooperative -Overview of the learning, Think- study Pair-Share, -Importance of Advance Study studying logic in different fields 7 Statement -Describing a Worksheets,  3 and Truth statement Problem Value -Simple Solving, statements Cooperative -Compound learning, Think- statements Pair-Share, -Open sentences Advance Study -Determining the truth value of a statement (True/False)

8 Logical -Negation (NOT) Worksheets,  3 Connectives -Conjunction Problem and Logical (AND) Solving, Equivalence -Disjunction (OR) Cooperative -Conditional (IF- learning, Think- THEN) Pair-Share, a. Inverse Advance Study b. Converse c. Contrapositive -Biconditional (IF AND ONLY IF) -Proving two statement patterns are logically equivalent by constructing a truth table 9 Classifications -Tautology Worksheets,  3 of Statements -Contradiction Problem and -Contingency Solving, Quantifiers -Universal Cooperative Quantifier learning, Think- -Existential Pair-Share, Quantifier Advance Study -Truth value of quantifiers 10 MIDTERM EXAMINATION    20 11 Properties of -Reflexive Law Worksheets,  3 Equality -Symmetric Law Problem -Transitive Law Solving, Cooperative learning, Think- Pair-Share, Advance Study 12 Polynomials -Degree Worksheets,  3 -Coefficient Problem -Leading Solving,

coefficient Cooperative learning, Think- Pair-Share, Advance Study 13 Dividing -Division Worksheets,  4 Polynomials Algorithm for Problem Polynomials Solving, -Quotient Cooperative -Remainder learning, Think- Pair-Share, Advance Study 14 Remainder -Finding the Worksheets,  4 Theorem remainder of a Problem polynomial Solving, Cooperative learning, Think- Pair-Share, Advance Study 15 Factor -Determining Worksheets,  4 Theorem whether x – c is a Problem factor of f(x) Solving, -Rational Root Cooperative Theorem learning, Think- Pair-Share, Advance Study 16 – 17 Quadratic -Quadratic Worksheets,  5 Equation Formula Problem -Discriminant Solving, -Finding the Cooperative roots of a learning, Think- polynomial Pair-Share, -Simplifying Advance Study rational polynomials 18 Inequality -Solving Worksheets,  4 inequalities Problem -Interval Solving,

Notation Cooperative -Graphing learning, Think- Inequalities Pair-Share, Advance Study 19 Absolute -Solving Worksheets,  3 Value absolute value Problem inequalities Solving, Cooperative learning, Think- Pair-Share, Advance Study 20 FINAL EXAMINATION    20 Total    100