The School of Mathematics

Grade 12 Mathematics – Term 1

Categories: Grade 12, Mathematics
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About Course

This Grade 12 Mathematics Term 1 course covers patterns, sequences and series, inverse and logarithmic functions, and advanced trigonometry.

Learners develop the core Paper 1 and Paper 2 skills needed for Grade 12 formal assessment and final-examination preparation.

What Will You Learn?

  • ATP-aligned lessons, guided practice, quizzes, revision activities and formal-assessment preparation.

Course Content

Quadratic Number Patterns
<p>Revise number patterns with constant second differences and quadratic general terms.</p>

Arithmetic Sequences and Series
<p>Investigate arithmetic sequences and derive and apply finite-series sum formulae.</p>

Geometric Sequences and Series
<p>Investigate geometric sequences and derive and apply finite and convergent infinite-series formulae.</p>

Sigma Notation
<p>Represent and evaluate series using sigma notation.</p>

Inverse Functions
<p>Restrict domains where necessary and determine and sketch inverses of linear, quadratic and exponential functions.</p>

Exponential and Logarithmic Functions
<p>Revise exponential laws and graphs; define logarithms and sketch logarithmic functions for different bases.</p>

Compound and Double Angle Identities
<p>Derive and use compound-angle and double-angle identities.</p>

Two- and Three-Dimensional Trigonometry
<p>Revise sine, cosine and area rules and solve two- and three-dimensional problems.</p>

Term 1 Investigation, Revision and Test
<p>Complete the investigation or project, revise all Term 1 content and prepare for the formal test.</p>

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