1. Do Bees Build It Best? Geometry Trigonometry

2. BUILDING THE BEST

3. NAILING DOWN AREA

4. HOW MANY CAN YOU FIND?

5. THAT’S ALL THERE IS!

6. HALVING YOUR WAY

7. PARALLELOGRAMS AND TRAPEZOIDS

8. FORMING FORMULAS

9. GOING INTO THE GALLERY

10. A RIGHT-TRIANGLE PAINTING

11. A TRIGONOMETRIC SUMMARY

12. MORE GALLERY MEASUREMENTS

13. A HOMEMADE TRIG TABLE

14. SHADOWS AND SAILBOATS

15. TRI-SQUARE RUG GAMES

16. ANY TWO SIDES WORK • LEG^2 + LEG^2 = HYP^2

17. IMPOSSIBLE RUGS

18. MAKE THE LINES COUNT

19. PROOF BY RUGS

20. THE POWER OF PYTHAGORAS

21. LESLIE’S FERTILE FLOWERS

22. FLOWERS FROM DIFFERENT SIDES

23. DON’T FENCE ME IN

24. RECTANGLES ARE BORING!

25. MORE FENCING, BIGGER CORRALS

26. MORE OPINIONS ABOUT CORRALS

27. BUILDING THE BEST FENCE

28. FALLING BRIDGES

29. LESLIE’S FLORAL ANGLES

30. FLAT CUBES

31. FLAT BOXES

32. A VOLUMINOUS TASK

33. PUT YOUR FIST INTO IT

34. THE INS AND OUTS OF BOXES

35. A SCULPTURE GARDEN

36. THE WORLD OF PRISMS

37. SHEDDING LIGHT ON PRISMS

38. PYTHAGORAS AND THE BOX

39. BACK ON THE FARM

40. WHICH HOLDS MORE?

41. CEREAL BOX SIZES

42. A-TESSELLATING WE GO

43. A PORTFOLIO OF FORMULAS

44. THAT’S ALL THERE IS! • EACH TRIANGLE MUST HAVE AN AREA OF 2 UNITS • EACH TRIANGLE MUST HAVE ITS VERTICES ON PEGS • EACH TRIANGLE MUST HAVE A HORIZONTAL SIDE

45. HALVING YOUR WAY

46. FORMING FORMULAS • LOOK FOR WAYS TO CUT UP THE PARALLELOGRAMS AND TRAPEZOIDS INTO TRIANGLES

47. GOING INTO THE GALLERY • REMEMBER, THE HEIGHT IS ALSO THE ALTITUDE WHICH IS DRAWN PERPENDICULAR TO THE BASE

48. A RIGHT-TRIANGLE PAINTING • DRAW A RIGHT TRIANGLE THAT HAS A 55 DEGREE ANGLE • EXTEND BOTH SIDES SO THAT THEY ARE AT LEAST 10 CM IN LENGTH

49. A TRIGONOMETRIC SUMMARY • SIN A = OPPOSITE/HYPOTENUSE • COS A = ADJACENT/HYPOTENUSE • TAN A = OPPOSITE/ADJACENT

50. A HOMEMADE TRIG TABLE • DRAW A RIGHT TRIANGLE USING THE ASSIGNED ANGLE FOR YOUR GROUP • MEASURE ALL THE SIDES • COMPUTE THE RATIOS OF SIN, COS, AND TAN