Year 9 Assessment Booklet 2019

IB MYP – YEAR 9 MATHEMATICS including Mathematics Extended and Essentials continued SEMESTER CONTENT / NATIONAL CURRICULUM CONCEPTS GLOBAL CONTEXT STATEMENT OF INQUIRY ASSESSMENT

Co-ordinate Geometry - Linear graphs and distance and mid- point formulae (Chapter 8) Find the distance between two points located on a Cartesian plane using a range of strategies, including graphing software. Find the midpoint and gradient of a line segment (interval) on the Cartesian plane using a range of strategies, including graphing software. Sketch linear graphs. Trigonometry – Applications include angles of elevation and bearings (Chapter 13) Use similarity to investigate the constancy of the sine, cosine and tangent ratios for a given angle in a right-angles triangle. Apply trigonometry to solve right-angled triangle problems. Simultaneous Equations – Graphical, substitution and elimination methods (Chapter 9) Solve linear simultaneous equations using algebraic and graphical techniques including using digital technology. Deductive Geometry – including triangles and other polygons, congruency and Pythagoras’ Theorem (Chapter 11) Investigate Pythagoras’ Theorem and its application to solving simple problems involving right-angles triangles. Formulate proofs involving congruent triangles and angle properties . Apply logical reasoning, including the use of congruence and similarity, to proofs and numerical exercises involving plane shapes.

Relationships: • Model • Representation • Pattern • Generalisation

Identities and Relationships

Predictions can be made by using mathematical models to

represent real-life relationships and generalise number patterns.

Relationships:

Identities and relationships

Our ability to measure accurately has a significant impact on how we view our world.

• Measurement • Representation • Space Relationships: • Model • Representation • Pattern Logic: • Measurement • Justification

TWO continued

Identities and Relationships

Predictions can be made by using mathematical models to

represent real-life relationships and generalise number patterns.

Orientation in space and time

Logic is a powerful tool for justifying what we

Semester 2 Examination (Criteria A, C)

discover through measurement and observation.

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