IBDP Mathematics Applications & Interpretations SL Chapter 2 Notes
Representing space : non right angled trigonometry and volumes
STUDY NOTES FOR MATHEMATICS – CHAPTER 2 – Representing space : non right angled trigonometry and volumes
These notes have specially been curated by expert teachers to simplify and enlighten concepts given in IB Mathematics SL. The notes are comprehensive in nature and are sufficient to study the chapter in depth and one need not look for other resources beyond the notes provided on our website which can be accessed for free. The notes for Mathematics IBDP SL are available on our official website and can be downloaded for free. You are one click away from obtaining all that you need to score well in IB Mathematics SL.
All DP mathematics courses serve to accommodate the dverse range of needs, interests and abilities of students, and to fulfill the requirements of various university and career aspirations. The aims of these courses are to enable students to: develop mathematical knowledge, concepts, principles, logical, critical and creative thinking, employ and refine their powers of abstraction and generalization. Students are also encouraged to appreciate the international dimensions of mathematics and the multiplicity of its cultural and historical perspectives.
In this chapter, we build on our knowledge of angles and trigonometry. We consider radian measure as an alternative to degrees, the unit circle which helps us give meaning to the trigonometric ratios for any angle. We learn about the different measurements of angles such as radians and degrees and to calculate arc length and area of a sector of a circle. When non right angled triangle trigonometry was introduced, we used the unit circle to give meaning to the trigonometric ratios for obtuse angles. This is now extended to include all angles. We also deal with the pythagorean identity from the equation of the unit circle. We also learn to calculate the volumes of various figures.
- Chapter 1 Measuring space: accuracy and 2D geometry
- Chapter 2 Representing space : non right angled trigonometry and volumes
- Chapter 3 Representing and describing data: descriptive statistics
- Chapter 4 Dividing up space : coordinate geometry , lines , Voronoi diagrams
- Chapter 5 Modelling constant rate of change: linear function
- Chapter 6 Modelling relationships: linear correlation of bivariate data
- Chapter 7 Quantifying uncertainty: probability, binomial and normal distributions
- Chapter 8 – Testing for validity: Spearman’s hypothesis testing and x^2 test for independence
- Chapter 9 Modelling relationships with functions: power f unctions
- Chapter 10 Modelling Rates of change: Exponential and logarithmic functions
- Chapter 11 Modelling Periodic Phenomena: Trigonometric Functions
- Chapter 12 Analyzing Rates of Change: Differential Calculus
- Chapter 13 Approximating Irregular Spaces: Integration