Year 10 Subject Guide 2020

Structure Semester 1

Semester 2

Shape and Measurement 

Number Plane Graphs 

Surface Area and Volume of prisms, pyramids, cones, spheres

Graphs of Parabolas and equations in the form  y = ax 2 + bx + c and y = a(x – h) 2 + k and  y = a(x – m)(x – n)  Graphs of Hyperbolas,  Exponentials, Circles and Cubics using the graphic calculator  Problem Solving Geometry Review including congruency proofs and Pythagoras’ Theorem  Similarity and using scale factors  Similar Triangle Proofs  Sides and Areas of Similar Triangles  Similar Solids Geometry Review and Similarity 

Consumer Arithmetic  Simple Interest 

Compound Interest

Depreciation



 Problem Solving including using the graphics calculator

Algebra Review and Quadratic Equations  Review of Equations Inequations and Formula  Factorising Quadratics  Solutions using factors  The Quadratic Formula  Problem Solving including using the graphics calculator

Further Algebra 

Review of linear simultaneous equations

Probability 

 Simultaneous Equations involving quadratics  Literal Equations

Simultaneous and Successive Events

Independent Events Conditional Probability

 

Functions 

Review of Indices Function notation

Further Trigonometry 



Review of Trigonometric Ratios for right-angled triangles  Trigonometric Ratios for Obtuse Angles  The Unit Circle in 2nd Quadrant only  The Sine Rule and The Ambiguous Case  The Cosine Rule  Area of Triangle

 Functions vs relations - vertical line test, domain and range  Transformations of f(x): y = f(x)+k and y=f(x – a)  Simple Exponential Equations

Statistics 

Representing, Analysing and Comparing sets of Data  Standard deviation using technology  2 Variable Statistics using technology

Assessment In Year 10 Mathematics Standard students complete six summative assessments. Summative assessments Semester 1 Semester 2

Criteria Assessed

Criteria Assessed

Number Patterns Investigation

B

Number Patterns Investigation

B

Life-related task

D

Life-related task

D

Examination

A, C

Examination

A, C

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