2018 - Year 9 Assessment Book

IB MYP YEAR 9 – MATHEMATICS INCLUDING MATHEMATICS FUNDAMENTALS continued

SEMESTER

CONTENT / NATIONAL CURRICULUM

CONCEPTS

GLOBAL CONTEXT Identities and Relationships

STATEMENT OF INQUIRY

ASSESSMENT

Predictions can be made by using mathematical models to represent real- life relationships and generalise number patterns.

Co-ordinate Geometry - Linear graphs and distance and mid- point formulae (Chapter 8)

Relationships:

Assignment and Investigation Week 1, Term 3 (Criteria B, D)

 Model  Representation  Pattern  Generalisation

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)

Identities and relationships

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

Relationships:

 Measurement  Representation  Space

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.

TWO continued

Identities and Relationships

Predictions can be made by using mathematical models to represent real- life relationships and generalise number patterns. Logic is a powerful tool for justifying what we

Simultaneous Equations – Graphical, substitution and elimination methods (Chapter 9)

Relationships:

 Model  Representation  Pattern

Solve linear simultaneous equations using algebraic and graphical techniques including using digital technology.

Logic:

Orientation in space and time

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.

Semester 2 Examination (Criteria A, C)

discover through measurement and observation.

 Measurement  Justification

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.

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