Law of Sines and Cosines, and Areas of Triangles.Linear, Angular Speeds, Area of Sectors, Length of Arcs.Conics: Circles, Parabolas, Ellipses, Hyperbolas.Graphing and Finding Roots of Polynomial Functions.Graphing Rational Functions, including Asymptotes.Rational Functions, Equations, and Inequalities.Solving Systems using Reduced Row Echelon Form.The Matrix and Solving Systems with Matrices.Advanced Functions: Compositions, Even/Odd, Extrema.Solving Radical Equations and Inequalities.Solving Absolute Value Equations and Inequalities.Imaginary (Non-Real) and Complex Numbers.Solving Quadratics, Factoring, Completing Square.
Introduction to Multiplying Polynomials.Scatter Plots, Correlation, and Regression.Algebraic Functions, including Domain and Range.Systems of Linear Equations and Word Problems.Introduction to the Graphing Display Calculator (GDC).Direct, Inverse, Joint and Combined Variation.Coordinate System, Graphing Lines, Inequalities.Types of Numbers and Algebraic Properties.Introduction to Statistics and Probability.Powers, Exponents, Radicals, Scientific Notation.The trigonometric identities we need to know at GCSE are sin, cos and tan however there are lots more. If we have two sides and we want to find the third we can use the Pythagorean Theorem a 2+b 2=c 2.
We can use SOHCAHTOA to find a missing angle of a right angled triangle when we have two given sides. We can use SOHCAHTOA to find a missing side of a right angled triangle when we have another side and a given angle.
Right-angled triangles are sometimes called right triangles. If it is showing an ‘R’ it will measure the angle in radians which are not needed until A Level. Make sure your calculator screen is showing a small ‘D’ at the top before using it for trigonometry. Make sure you calculator is in ‘degrees’Īll angles at GCSE are measured in degrees.
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