Unit 1, Semester One Learning Outcomes By the end of this unit, students: understand the concepts and techniques in combinatorics, geometry and vectors apply reasoning skills and solve problems in combinatorics, geometry and vectors communicate their arguments and strategies when solving problems construct proofs in a variety of contexts, including algebraic and geometric interpret mathematical information and ascertain the reasonableness of their solutions to problems. Week Content Description Resources Assessment Introduction to Vectors: Term 1 Nelson Specialist 1.2.1 examine examples of vectors including displacement and velocity 1 - 3 11, Chapter 1 Investigation 1 (Week 3) 1.2.2 define and use the magnitude and direction of a vector 1.2.3 represent a scalar multiple of a vector 1.2.4 use the triangle and parallelogram rule to find the sum and difference of two vectors. Term1 Nelson Specialist Test 1 (Week 5) Proof and Reasoning 4 - 5 11, Chapter 2 The nature of proof: 1.3.1 use implication, converse, equivalence, negation, inverse, contrapositive 1.3.2 use proof by contradiction 1.3.3 use the symbols for implication (⇒), equivalence (⟺) 1.3.4 use the quantifiers all’ and exists’ ‘for ‘there 1.3.5 use examples and counter-examples.
Unit 1, Semester One Learning Outcomes By the end of this unit, students: understand the concepts and techniques in combinatorics, geometry and vectors apply reasoning skills and solve problems in combinatorics, geometry and vectors communicate their arguments and strategies when solving problems construct proofs in a variety of contexts, including algebraic and geometric interpret mathematical information and ascertain the reasonableness of their solutions to problems. Week Content Description Resources Assessment Term 1 1 - 3 Introduction to Vectors: 1.2.1 examine examples of vectors including displacement and velocity 1.2.2 define and use the magnitude and direction of a vector 1.2.3 represent a scalar multiple of a vector 1.2.4 use the triangle and parallelogram rule to find the sum and difference of two vectors. Nelson Specialist 11, Chapter 1 Investigation 1 (Week 3) Term1 4 - 5 Proof and Reasoning The nature of proof: 1.3.1 use implication, converse, equivalence, negation, inverse, contrapositive 1.3.2 use proof by contradiction 1.3.3 use the symbols for implication (⇒), equivalence (⟺) 1.3.4 use the quantifiers ‘for all’ and ‘there exists’ 1.3.5 use examples and counter-examples. Nelson Specialist 11, Chapter 2 Test 1 (Week 5)
Year_11_Mathematics_Specialist_Units_1_and_2_2018_Teaching_and_Learning_Program.docx