Year 10 Assessment Booklet 2020

IB MYP YEAR 10 – MATHEMATICS INCLUDES MATHEMATICS EXTENDED AND GENERAL MATHEMATICS PREPARATION - continued SEMESTER STATEMENT OF INQUIRY CONCEPT GLOBAL CONTEXT CONTENT ASSESSMENT

Types Of Interest Payments

Consumer Arithmetic • Simple and Compound interest (Chapter 2)

Solve problems involving surface area and volume for a range of prisms, cylinders and composite solids. Solve problems involving surface area and volume of right pyramids, right cones, spheres and related composite solids. Solve right-angled triangle problems including those involving direction and angles of elevation and depression. Establish the sine, cosine and area rules for any triangle and solve related problems.

Community and Service

Trigonometric Concepts and Applications

Further Trigonometry • Right angle triangles, bearings, • Obtuse triangles Sine and Cosine rules and Area of a Triangle rule. (Chapter 12)

Human Ingenuity

angles of elevation and depression

ONE

Extended Only Circle Geometry Intersecting tangents

Logic Justification

Chord properties of circles Angle properties of circles Tangent properties of circles

Personal and cultural expression

• • • • •

Semester 1 Exams Criteria A, C

Intersecting chords Intersecting secants

Geometry Review and Similarity

Use the enlargement transformation to explain similarity and develop the conditions for triangles to be similar. Solve problems using ratio and scale factors in similar figures.

Human Ingenuity

• Geometry review • Similarity, scale factors • Similar triangle proofs (Chapter 11)

Relationships

Personal and cultural expression

Extended Only Vector notation & vector operations Vector Geometry

Life Related Task Criteria D Investigation Criteria B

Magnitude of a Vector Addition of vectors Subtraction of vectors

• • • • •

Scalar Multiplication of a vector Equality of vectors: Two vectors are equal if both magnitude and direction are equal.

TWO

Position Vectors

• •

Dot Product

(continued over …)

47