Grade 11: Math 506 – 3000
Technical and Scientific

Topic 1 – Arithmetic and Algebraic Expressions Topic 7 – Trigonometry

• Powers • Trigonometric ratios in a right triangle

• Square Root of real numbers • Law of sine and Law of cosine

• Polynomials • Arc Length

• Factoring a polynomial • Unit Circle

• Second degree inequations • Periodic functions

• Sine function

• Cosine function

Topic 2 - Optimization • Tangent function

• First degree equations with two variables • Trigonometric identities

• First degree inequalities with two variables • Trigonometric equations

• System of first degree equations

• System of first degree inequalities Topic 8 – Vectors

• Polygon of constraints • Geometric vectors

• Optimization of a situation • Operations on geometric vectors

• Algebraic vectors

Topic 3 – Transfomations in the Cartesian Plane • Scalar product

• Translations • Orthogonal projections

• Rotations • Vectors and geometric proofs

• Reflections

• Scale change Topic 9 – Conics

• Dilatations • Locus of points

• Sequence of transformations • Circle

• Ellipse

Topic 4 – Polynomial Functions • Hyperbola

• Functions • Parabola

• Polynomial functions • Conic problems

• Quadratic functions – standard form

• Quadratic functions – general form

• Quadratic functions – factored form Topic 10 – Circle Geometry

• Study of a quadratic function • Geometric elements of a circle

• Angles, arcs and chords

Topic 5 – Real Number Functions • Inscribed angles, interior angles, exterior angles

• Absolute value functions • Power of a point in respect to a circle

• Square root functions

• Greatest integer functions Topic 11 – Equivalent Figures

• Rational functions • Area and volume of solids

• Equivalent plane figures

Topic 6 – Exponential and Logarithmic Functions • Equivalent solids

• Basic exponential function • Comparing polygons

• Exponential functions • Comparing solids

• Basic logarithmic function

• Logarithmic functions Topic 12 – Matrices

• Logarithmic calculations • Matrices

• Matrix operations