This document outlines the key topics covered in a course on the fundamentals of mathematics for architecture. The course covers types of triangles, triangle properties such as angle addition and relationships between sides. It also discusses right triangles, trigonometric ratios, Thales' theorem, and similar and congruent triangles. Examples are provided on determining missing lengths, heights, and surface areas of geometric shapes using these mathematical concepts. Interactive tools are also referenced for student participation.

1. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTORY COURSE
FUNDAMENTALS OF MATHEMATICS I_iCourse

2. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTORY COURSE

3. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTORY COURSE
PREVIOUSLY ON MATHS 1...

4. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTORY COURSE
TYPES OF TRIANGLES
TRIANGLES PROPERTIES
TRIGONOMETRIC RATIOS
THALES THEOREM
EXAMPLES

5. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTORY COURSE
https://www.youtube.com/watch?v=mLeNaZcy-hE

6. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTORY COURSE
TRIANGLES PROPERTIES
Addition of angles 180
Complementary angles
Suplemenary angles
IMPORTANT PROPERTY FOR ALL THE TRIANGLES: Addition of angles 180
COMPLEMENTARY ANGLES?
SUPMENTARY ANGLES?

7. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTORY COURSE
Addition of angles 180
Complementary angles
IMPORTANT PROPERTY FOR ALL THE TRIANGLES: Addition of angles 180
COMPLEMENTARY ANGLES?
SUPMENTARY ANGLES?

8. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTORY COURSE
THE KEY IS FINDING A RIGHT TRIANGLE
RELATIONSHIP BETWEEN SIDES LENGTH?

9. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTORY COURSE
THE KEY IS FINDING A RIGHT TRIANGLE
PYTHAGORAS THEOREM

10. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTORY COURSE
THE KEY IS FINDING A RIGHT TRIANGLE
RELATIONSHIP BETWEEN ANGLES AND SIDES?

11. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTORY COURSE
THE KEY IS FINDING A RIGHT TRIANGLE
RELATIONSHIP BETWEEN ANGLES AND SIDES?

12. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTORY COURSE
THE KEY IS FINDING A RIGHT TRIANGLE
RELATIONSHIP BETWEEN ANGLES AND SIDES?
sin a
cos a
tag a
sin b
cos b
tag b

13. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTORY COURSE
THE MAGIC OF THE UNIT CIRCLE

14. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTORY COURSE
THE MAGIC OF THE UNIT CIRCLE

15. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTORY COURSE
INTERESTING RIGHT TRIANGLES

16. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTORY COURSE
NOT ALL THE TRIANGLES ARE RIGHT TRIANGLES OR 30 – 60 -90 TRIANGLES OR ....
DO NOT ASSUME WHAT YOU CANNOT BE COMPLETELY SURE OF!!!!!!!!!!!!!!!!!!!!

17. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTORY COURSE
BE SMART....
DIVIDE AND WIN
DIVIDE AND FIND RIGHT TRIANGLES

18. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTORY COURSE
VALUE OF h KNOWING THE VALUE OF L

19. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTORY COURSE
DETERMINE THE LENGTH OF SIDE C

20. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTORY COURSE
SIMILAR TRIANGLES EQUAL ANGLES
CONGRUENT TRIANGLES EQUAL ANGLES AND EQUAL SIDES
SIMILAR TRIANGLES SIDES ARE PROPORTIONAL

21. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTORY COURSE
THALES THEOREM?

22. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTORY COURSE
THALES THEOREM

23. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTORY COURSE
DETERMINE THE VALUE OF X

24. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTORY COURSE
DETERMINE THE HEIGHT OF THE PYRAMID
230 m 2 m
Shadow length 4,25 m
Shadow length 195 m

25. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTORY COURSE
HOW CAN YOU PROVE THESE RATIOS?

26. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTORY COURSE
HERZOG AND DE MEURON. MIAMI 2013

27. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTORY COURSE
HERZOG AND DE MEURON. MIAMI 2013

28. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTORY COURSE
VALUE OF V AND W?

29. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTORY COURSE
Today’s words?
https://www.menti.com/8cwme7e7ux
https://www.mentimeter.com/app

30. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTORY COURSE

31. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTORY COURSE
Height 146 m Side length 230 m ¿Surface?

32. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTORY COURSE

33. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTORY COURSE

34. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTORY COURSE