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WORK PROGRAM Chapter 2 Angles Strand: Space and geometry Substrands and outcomes: Two-dimensional space SGS3.2b Measures, constructs and classifies angles Position SGS3.3 Uses a variety of mapping skills Angles SGS4.2 Identifies and names angles formed by the intersection of straight lines, including those related to transversals on sets of parallel lines, and makes use of the relationships between them

Section GC tips, Investigations, SkillSHEETS, Technology applications Learning outcomes History of mathematics, WorkSHEETS, (CD-ROM) Maths Quest challenge, Interactive games, 10 Quick Questions, Test yourself, Topic tests Code puzzles (CD-ROM) Are you ready? (page 46) SkillSHEETS (page 46) SGS3.2b 2.1: Reading the scale on a  using the symbol for protractor degrees () 2.2: Comparing the sizes  using a protractor to of angles construct an angle of a 2.3: Estimating the size of given size and to an angle measure angles 2.4: Measuring angles with  estimating and a protractor measuring angles in 2.5: Constructing angles degrees with a protractor  classifying angles as 2.6: Classifying angles right, acute, obtuse, 2.7: Naming angles reflex, straight or a revolution SGS4.2  labelling and naming angles using A and XYZ notation 2

Measuring angles Maths Quest challenge: SkillSHEET 2.1: Reading Cabri Geometry: Angles SGS3.2b (page 47) Q1–5 (page 53) the scale on a protractor (page 51)  recognising the need WE 1a-c, 2, 3 Code puzzle (page 54) (page 51) for a formal unit for Ex 2A Measuring angles Investigation: Estimating SkillSHEET 2.2: the measurement of (page 51) the size of an angle Comparing the sizes of angles (page 55) angles (page 51)  using the symbol for SkillSHEET 2.3: degrees () Estimating the size of  using a protractor to an angle (page 51) construct an angle of a SkillSHEET 2.4: given size and to Measuring angles with measure angles a protractor (page 51)  estimating and Game time 001 (page 53) measuring angles in degrees  describing angles found in their environment (Communicating, Reflecting) SGS4.2  Using dynamic geometry software to investigate angle relationships (Applying strategies, Reasoning) Constructing angles with a SkillSHEET 2.5: GC program – Casio: SGS3.2b protractor (page 56) Constructing angles Constructing angles  using a protractor to WE 4a-b, 5 with a protractor (page 58) construct an angle of a Ex 2B Constructing angles (page 58) GC program – TI: given size and to with a protractor Constructing angles measure angles (page 58) (page 58) Excel: Constructing angles 3

(page 58) Types of angles (page 59) 10 Quick Questions 1 SkillSHEET 2.6: Cabri Geometry: Types of SGS3.2b WE 6a-c (page 62) Classifying angles angles (page 60)  classifying angles as Ex 2C Types of angles (page 60) right, acute, obtuse, (page 60) Game time 002 (page 62) reflex, straight or a revolution  identifying angle types at intersecting lines  describing angles found in their environment (Communicating, Reflecting) SGS4.2  using the common convention to indicate right angles  using dynamic geometry software to investigate angle relationships (Applying strategies, Reasoning) Naming angles (page 63) SkillSHEET 2.7: Naming Cabri Geometry: Naming SGS4.2 WE 7a-b, 8 angles (page 64) and measuring angles  labelling the vertex and Ex 2D Naming angles WorkSHEET 2.1 (page 65) (page 64) arms of an angle with (page 64) capital letters  labelling and naming angles using A and XYZ notation 4

Calculating the size of Maths Quest challenge: WorkSHEET 2.2 (page 71) Mathcad: Finding the SGS4.2 angles (page 65) Q1–3 (page 72) complement (page 69)  identifying and naming WE 9, 10, 11a-b, 12a-b, 10 Quick Questions 2 Mathcad: Finding the adjacent angles (two 13a-c, 14 (page 72) supplement (page 69) angles with a common Ex 2E Calculating the size Cabri Geometry: vertex and a common of angles (page 69) Complementary angles arm), vertically (page 69) opposite angles, Cabri Geometry: straight angles and Supplementary angles angles of complete (page 69) revolution, embedded in a diagram  using the words ‘complementary’ and ‘supplementary’ for angles adding to 90 and 180 respectively, and the terms ‘complement’ and ‘supplement’  establishing and using the equality of vertically opposite angles  using angle relationships to find unknown angles in diagrams  finding the unknown angle in a diagram using angle results, giving reasons (Applying strategies, 5

Reasoning)  using dynamic geometry software to investigate angle relationships (Applying strategies, Reasoning) Bearings (page 73) Investigation: Angles and WorkSHEET 2.3 (page 78) Cabri Geometry: True SGS3.3 WE 15a-c, 16a-c more angles (page 79) bearings (pages 76, 77)  locating a place on a Ex 2F Bearings (page 77) Excel: True  compass map which is a given bearings (page 77) direction from a town Excel: Compass  true or landmark bearings (page 78) SGS4.2  using dynamic geometry software to investigate angle relationships (Applying strategies, Reasoning) Summary (page 81) ‘Test yourself’ multiple Chapter review (page 83) choice questions (page 84) Topic tests (2)