Geometry Trigonometry Do Bees Build It Best? Geometry Trigonometry
BUILDING THE BEST
NAILING DOWN AREA
HOW MANY CAN YOU FIND?
THAT’S ALL THERE IS!
HALVING YOUR WAY
PARALLELOGRAMS AND TRAPEZOIDS
FORMING FORMULAS
GOING INTO THE GALLERY
A RIGHT-TRIANGLE PAINTING
A TRIGONOMETRIC SUMMARY
MORE GALLERY MEASUREMENTS
A HOMEMADE TRIG TABLE
SHADOWS AND SAILBOATS
TRI-SQUARE RUG GAMES
ANY TWO SIDES WORK LEG^2 + LEG^2 = HYP^2
IMPOSSIBLE RUGS
MAKE THE LINES COUNT
PROOF BY RUGS
THE POWER OF PYTHAGORAS
LESLIE’S FERTILE FLOWERS
FLOWERS FROM DIFFERENT SIDES
DON’T FENCE ME IN
RECTANGLES ARE BORING!
MORE FENCING, BIGGER CORRALS
MORE OPINIONS ABOUT CORRALS
BUILDING THE BEST FENCE
FALLING BRIDGES
LESLIE’S FLORAL ANGLES
FLAT CUBES
FLAT BOXES
A VOLUMINOUS TASK
PUT YOUR FIST INTO IT
THE INS AND OUTS OF BOXES
A SCULPTURE GARDEN
THE WORLD OF PRISMS
SHEDDING LIGHT ON PRISMS
PYTHAGORAS AND THE BOX
BACK ON THE FARM
WHICH HOLDS MORE?
CEREAL BOX SIZES
A-TESSELLATING WE GO
A PORTFOLIO OF FORMULAS
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
HALVING YOUR WAY
FORMING FORMULAS LOOK FOR WAYS TO CUT UP THE PARALLELOGRAMS AND TRAPEZOIDS INTO TRIANGLES
GOING INTO THE GALLERY REMEMBER, THE HEIGHT IS ALSO THE ALTITUDE WHICH IS DRAWN PERPENDICULAR TO THE BASE
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
A TRIGONOMETRIC SUMMARY SIN A = OPPOSITE/HYPOTENUSE COS A = ADJACENT/HYPOTENUSE TAN A = OPPOSITE/ADJACENT
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
MORE GALLERY MESUREMENTS SIN A = OPPOSITE/HYPOTENUSE COS A = ADJACENT/HYPOTENUSE TAN A = OPPOSITE/ADJACENT
SHADOWS AND SAILBOATS
TRI-SQUARE RUG GAMES AL WINS WHEN THE LARGEST OF THE 3 SQUARES HAS THE MOST AREA. WHAT KIND OF TRIANGLE IS FORMED IN THIS SITUATION?
TRI-SQUARE RUG GAMES BETTY WINS IF THE TWO SMALLER SQUARES HAVE MORE AREA THEN THE LARGEST WHAT KIND OF TRIANGLE IS FORMED IN THIS SITUATION?
TRI-SQUARE RUG GAMES IF THE TWO SMALLER SQUARES HAVE THE SAME AREA AS THE LARGEST, THIS IS A FAIR GAME. WHAT KIND OF TRIANGLE IS FORMED IN THIS SITUATION?
ANY TWO SIDES WORK
ANY TWO SIDES WORK
ANY TWO SIDES WORK
IMPOSSIBLE RUGS RULE: ANY TWO SIDES OF A TRIANGLE MUST BE GREATER THAN THE THIRD SIDE
MAKE THE LINES COUNT
THE POWER OF PYTHAGORAS
THE POWER OF PYTHAGORAS
LESLIE’S FERTILE FLOWERS
FLOWERS FROM DIFFERENT SIDES
DON’T FENCE ME IN RANCHER GONZALES CAN ONLY AFFORD 300 FEET OF FECNING MAKE AN INOUT TABLE OF VARIOUS LENGTHS AND WIDTHS
RECTANGLES ARE BORING! RANCHER GONZALE’S NEPHEW JUAN HAS SUGGESTED RECTANGLES AGAIN SHE MUST USE 300 FEET OF FENCING
MORE FENCING, BIGGER CORRALS HOW DOES THE AREA OF A SQUARE CORRAL MADE 300 FT OF FENCING COMPARE TO 600 FT?
MORE FENCING, BIGGER CORRALS HOW DOES THE AREA OF A AN EQUILATERAL TRIANGLE CORRAL MADE 300 FT OF FENCING COMPARE TO 600 FT?
MORE OPINIONS ABOUT CORRALS ACES : PENTAGON TWO’S: HEXAGON THREE’S: SEPTAGON FOUR’S: OCTAGON FIVE’S: 9 SIDED REG-POLY SIXE’S: 10 SIDED REG-POLY
BUILDING THE BEST FENCE AREA= (P^2/4n) * tan (90-180/n)
FALLING BRIDGES USE OTHER APPROXIMATIONS FOR THE SQUARE ROOT OF 2
LESLIE’S FLORAL ANGLES REMEMBER, THE INVERSE OF: ADDING? MULTIPLYING? SOMETHING SQUARED? NOW WE NEED THE INVERSE OF OUR TRIG FUNCTIONS
FLAT BOXES 132 CM SQUARED
FLAT BOXES 108 CM SQUARED
A VOLUMINOUS TASK SURFACE AREA VOLUME #1 #2 #3 #4 #5
A VOLUMINOUS TASK SURFACE AREA VOLUME #7 #8 #9 #10
PUT YOUR FIST INTO IT
THE INS AND OUTS OF BOXES
A SCULPTURE GARDEN FIND A WAY TO ARRANGE 8 CUBES THAT USES THE LEAST AMOUNT OF PAINT
THE WORLD OF PRISMS PRISM IS A SPECIAL TYPE OF SOLID GEOMETRIC FIGURE THE INTIAL AND FINAL FACES ARE THE BASES USUALLY 1 OR 2 BASES PERPENDICULAR DISTANCE BETWEEN THE BASES IS THE HEIGHT
THE WORLD OF PRISMS TRIANGULAR PRISMS HEXAGONAL PRISMS RECTANGULAR PRISMS
THE WORLD OF PRISMS RIGHT PRISMS OBLIQUE PRISMS
THE WORLD OF PRISMS LATERAL FACES LATERAL EDGES BASES LATERAL SURFACE AREA TOTAL SURFACE AREA
PYTHAGORAS AND THE BOX
BACK ON THE FARM