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1 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 Are you ready? (page 46) GC tips, Investigations, History of mathematics, Maths Quest challenge, 10 Quick Questions, Code puzzles SkillSHEETS, Technology applications WorkSHEETS, (CD-ROM) Interactive games, Test yourself, Topic tests (CD-ROM) SkillSHEETS (page 46) 2.1: Reading the scale on a protractor 2.2: Comparing the sizes of angles 2.3: Estimating the size of an angle 2.4: Measuring angles with a protractor 2.5: Constructing angles with a protractor 2.6: Classifying angles 2.7: Naming angles Learning outcomes SGS3.2b using the symbol for degrees () using a protractor to construct an angle of a given size and to measure angles estimating and measuring angles in degrees classifying angles as right, acute, obtuse, reflex, straight or a revolution SGS4.2 labelling and naming angles using A and XYZ notation 2 Measuring angles (page 47) WE 1a-c, 2, 3 Ex 2A Measuring angles (page 51) Constructing angles with a protractor (page 56) WE 4a-b, 5 Ex 2B Constructing angles with a protractor (page 58) Maths Quest challenge: Q1–5 (page 53) Code puzzle (page 54) Investigation: Estimating the size of an angle (page 55) SkillSHEET 2.1: Reading the scale on a protractor (page 51) SkillSHEET 2.2: Comparing the sizes of angles (page 51) SkillSHEET 2.3: Estimating the size of an angle (page 51) SkillSHEET 2.4: Measuring angles with a protractor (page 51) Game time 001 (page 53) Cabri Geometry: Angles (page 51) SkillSHEET 2.5: Constructing angles with a protractor (page 58) GC program – Casio: Constructing angles (page 58) GC program – TI: Constructing angles (page 58) Excel: Constructing angles SGS3.2b recognising the need for a formal unit for the measurement of angles using the symbol for degrees () using a protractor to construct an angle of a given size and to measure angles estimating and 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) SGS3.2b using a protractor to construct an angle of a given size and to measure angles 3 Types of angles (page 59) WE 6a-c Ex 2C Types of angles (page 60) Naming angles (page 63) WE 7a-b, 8 Ex 2D Naming angles (page 64) 10 Quick Questions 1 (page 62) SkillSHEET 2.6: Classifying angles (page 60) Game time 002 (page 62) SkillSHEET 2.7: Naming angles (page 64) WorkSHEET 2.1 (page 65) (page 58) Cabri Geometry: Types of angles (page 60) Cabri Geometry: Naming and measuring angles (page 64) SGS3.2b classifying angles as right, acute, obtuse, 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) SGS4.2 labelling the vertex and arms of an angle with capital letters labelling and naming angles using A and XYZ notation 4 Calculating the size of angles (page 65) WE 9, 10, 11a-b, 12a-b, 13a-c, 14 Ex 2E Calculating the size of angles (page 69) Maths Quest challenge: Q1–3 (page 72) 10 Quick Questions 2 (page 72) WorkSHEET 2.2 (page 71) Mathcad: Finding the complement (page 69) Mathcad: Finding the supplement (page 69) Cabri Geometry: Complementary angles (page 69) Cabri Geometry: Supplementary angles (page 69) SGS4.2 identifying and naming adjacent angles (two angles with a common vertex and a common arm), vertically opposite angles, straight angles and angles of complete 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 Bearings (page 73) WE 15a-c, 16a-c Ex 2F Bearings (page 77) Summary (page 81) Chapter review (page 83) Investigation: Angles and more angles (page 79) WorkSHEET 2.3 (page 78) ‘Test yourself’ multiple choice questions (page 84) Topic tests (2) Cabri Geometry: True bearings (pages 76, 77) Excel: True compass bearings (page 77) Excel: Compass true bearings (page 78) Reasoning) using dynamic geometry software to investigate angle relationships (Applying strategies, Reasoning) SGS3.3 locating a place on a map which is a given direction from a town or landmark SGS4.2 using dynamic geometry software to investigate angle relationships (Applying strategies, Reasoning)