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The Futures Channel Digital Video Resource Library Curriculum Content

MATHEMATICS

THE NATURE OF MATHEMATICS

Problem Solving

Can solve complex, multi-step problems Solar Powered Cars, #1001........................................Movie Guide #5 ........................................................................Movie Guide #17 Flights of Imagination, #1003....................................Movie Guide #1 Maglev Trains, #1004 ................................................Movie Guide #1 Electricity from the Wind, #1010 ..............................Movie Guide #1 Windsails, #1011........................................................Movie Guide #2 Bicycle Design, #1012...............................................Movie Guide #2 ........................................................................Movie Guide #4 Making Sparks, #1019-1021......................................Movie Guide #1 ........................................................................Movie Guide #5 Off the Grid, #1022-1024 ..........................................Movie Guide #1 ........................................................................Movie Guide #3 ........................................................................Movie Guide #4 The Disappearing Call of the Wild, #2001 ................Movie Guide #2 Growing Bugs, #2003 ................................................Movie Guide #1 ........................................................................Movie Guide #7 The Lundberg Farms, #2005......................................Movie Guide #2 ........................................................................Movie Guide #10 Cheetahs, #2006.........................................................Movie Guide #2 Voyage of the Ventana 1 & 2, #2011-2012 ...............Movie Guide #6 Undersea Treasure, #3003 .........................................Movie Guide #2 The Art Director, #4004.............................................Movie Guide #8 The Head Chef, #4014 ...............................................Movie Guide #5 Float Designer, #4016................................................Movie Guide #1 Tunnel Number 3, #5002 ...........................................Movie Guide #2 ........................................................................Movie Guide #4 ........................................................................Movie Guide #7 Popcorn, Peanuts, Hot Dogs, #5007 ..........................Movie Guide #3

Can distinguish between relevant and irrelevant information. Water Supply, #5001 .................................................Movie Guide #5


Can choose the correct operations in solving a problem Solar Powered Cars, #1001........................................Movie Guide #17

Can apply the strategy "use a chart or table" Maglev Trains, #1004 ................................................Movie Guide #3 The Disappearing Call of the Wild, #2001 ................Movie Guide #2

Can apply the strategy "think backwards" Healing Injured Wild Animals, #2002.......................Movie Guide #3

Can apply the strategy "look for a pattern" The Disappearing Call of the Wild, #2001 ................Movie Guide #2

Can represent the elements of a problem with simple schematic drawings or objects. Windsails, #1011........................................................Movie Guide #2 Bicycle Design, #1012...............................................Movie Guide #7 Prototypes, #1014 ......................................................Movie Guide #5

Can break a problem up into simpler parts. Windsails, #1011........................................................Movie Guide #2

COUNTING NUMBERS AND INTEGERS

Operations

Can add and subtract positive and negative integers Searching for Water on Mars, #3001.........................Movie Guide #10

Can multiply and divide integers Float Designer, #4016................................................Movie Guide #2

MEASUREMENT

Length and Distance

Understands the concept "length" Creating an Advertising Campaign, #4007................Movie Guide #3 Corporate Graphics, #4008 ........................................Movie Guide #1 The ABC's of Architecture, #4010 ............................Movie Guide #1

Knows the names of common units for measurement of length and (roughly) their relative sizes

Designing Sunglasses, #4012.....................................Movie Guide #4

Can measure lengths Testing the Robotic Hand, #1006 ..............................Movie Guide #1


Geometry and Structural Engineering, #1009 ...........Movie Guide #8 Bicycle Design, #1012...............................................Movie Guide #6 Concert Acoustics, #1013 ..........................................Movie Guide #4 Prototypes, #1014 ......................................................Movie Guide #2 ........................................................................Movie Guide #3 ........................................................................Movie Guide #5 Growing Bugs, #2003 ................................................Movie Guide #9 Cheetahs, #2006.........................................................Movie Guide #3 Models for Movies, #4005.........................................Movie Guide #2 ........................................................................Movie Guide #7 Creating an Advertising Campaign, #4007................Movie Guide #5 Creating a Campground, #4009 .................................Movie Guide #3 ........................................................................Movie Guide #9 Designing Dolls, #4011 .............................................Movie Guide #5 Designing Sunglasses, #4012.....................................Movie Guide #2 ........................................................................Movie Guide #11 ........................................................................Movie Guide #14 Designing Toy Cars, #4013 .......................................Movie Guide #5 Communication at the Speed of Light, #5003 ...........Movie Guide #1

Can convert between metric and English length units Solar Powered Cars, #1001........................................Movie Guide #10 The Tools of Graphic Design, #4015.........................Movie Guide #1

Area

Understands the concept "area" Solar Powered Cars, #1001........................................Movie Guide #12 Making Sparks, #1019-1021......................................Movie Guide #2 ........................................................................Movie Guide #3 Off the Grid, #1022-1024 ..........................................Movie Guide #4 Creating a Campground, #4009 .................................Movie Guide #4 Designing Sunglasses, #4012.....................................Movie Guide #8

Understands the concept "square unit" Making Sparks, #1019-1021......................................Movie Guide #2 ........................................................................Movie Guide #3 Off the Grid, #1022-1024 ..........................................Movie Guide #4 Float Designer, #4016................................................Movie Guide #3

Can determine an area in square units by measurement Bats, #2007 ................................................................Movie Guide #6 Designing Sunglasses, #4012.....................................Movie Guide #8 Float Designer, #4016................................................Movie Guide #3


Can convert between various area units (e.g., square feet to square inches) Making Sparks, #1019-1021......................................Movie Guide #3 Growing Bugs, #2003 ................................................Movie Guide #5

Can determine the area of a rectangle by computation Solar Powered Cars, #1001........................................Movie Guide #12 Making Sparks, #1019-1021......................................Movie Guide #2 Growing Bugs, #2003 ................................................Movie Guide #1

Volume

Can convert between common English volume units (ounce, cup, pint, quart, gallon) Growing Bugs, #2003 ................................................Movie Guide #6 The Head Chef, #4014 ...............................................Movie Guide #2 Popcorn, Peanuts, Hot Dogs, #5007 ..........................Movie Guide #2

Knows the names of common English and metric units for measurement of volume and (roughly) their relative sizes

The Lundberg Farms, #2005......................................Movie Guide #7

Can convert between cubic feet and gallons Voyage of the Ventana 1 & 2, #2011-2012 ...............Movie Guide #6 Water Supply, #5001 .................................................Movie Guide #4 Water Tanks, #5006 ...................................................Movie Guide #5

Can find the volume of a cylinder Bats, #2007 ................................................................Movie Guide #8 Voyage of the Ventana 1 & 2, #2011-2012 ...............Movie Guide #1 Eyes on the Universe 3 & 4, #3007-3008 ..................Movie Guide #1 Percussion Instruments, #4002 ..................................Movie Guide #1

Understands the concepts "cubic inch", "cubic foot", and "cubic yard" Water Supply, #5001 .................................................Movie Guide #4 Tunnel Number 3, #5002 ...........................................Movie Guide #9

Understands the meaning of the volume unit "acre-foot" and can convert between it and other volume units

Water Supply, #5001 .................................................Movie Guide #1 ........................................................................Movie Guide #2

Understands the meaning of the volume unit "acre-foot" and can convert between it and other volume units

The Lundberg Farms, #2005......................................Movie Guide #8


Rate

Understands the concept "speed" Solar Powered Cars, #1001........................................Movie Guide #10 Maglev Trains, #1004 ................................................Movie Guide #1 Bicycle Design, #1012...............................................Movie Guide #1

Understands the unit "miles/hour" Flights of Imagination, #1003....................................Movie Guide #4

Can solve problems involving speeds or rates Solar Powered Cars, #1001........................................Movie Guide #10 ........................................................................Movie Guide #11 The Pterodactyl Flies Again, #1002...........................Movie Guide #2 Flights of Imagination, #1003....................................Movie Guide #4 Maglev Trains, #1004 ................................................Movie Guide #1 Electricity from the Wind, #1010 ..............................Movie Guide #3 Bicycle Design, #1012...............................................Movie Guide #1 Concert Acoustics, #1013 ..........................................Movie Guide #4 The Disappearing Call of the Wild, #2001 ................Movie Guide #1 Growing Bugs, #2003 ................................................Movie Guide #6 Life Under the Ocean, #2004.....................................Movie Guide #6 Bats, #2007 ................................................................Movie Guide #2 Voyage of the Ventana 1 & 2, #2011-2012 ...............Movie Guide #2 Voyage of the Ventana 3, 4 and 5, #2013-2015 ........Movie Guide #1 Searching for Water on Mars, #3001.........................Movie Guide #2 Undersea Treasure, #3003 .........................................Movie Guide #3 Eyes on the Universe 1 & 2, #3005-3006 ..................Movie Guide #2 Sports Photography , #4003.......................................Movie Guide #3 ........................................................................Movie Guide #4 Water Supply, #5001 .................................................Movie Guide #3 ........................................................................Movie Guide #6 ........................................................................Movie Guide #7 Tunnel Number 3, #5002 ...........................................Movie Guide #1 ........................................................................Movie Guide #4 Communications Satellites, #5004 ............................Movie Guide #2 ........................................................................Movie Guide #3 The New York City Subway, #5005..........................Movie Guide #7 Water Tanks, #5006 ...................................................Movie Guide #5 ........................................................................Movie Guide #8

Understands the unit "feet/second" Flights of Imagination, #1003....................................Movie Guide #4


Weight and Mass

Knows the names of common English and metric units for measurement of weight and mass and (roughly) their relative sizes

Solar Powered Cars, #1001........................................Movie Guide #13 Healing Injured Wild Animals, #2002.......................Movie Guide #1

Can convert weights from English to English and English to metric units The Head Chef, #4014 ...............................................Movie Guide #2 ........................................................................Movie Guide #3 Communications Satellites, #5004 ............................Movie Guide #1

Can use a small scale to measure weight in ounces or grams Life Under the Ocean, #2004.....................................Movie Guide #5

Temperature

Can convert temperatures between Fahrenheith, Centigrade and Kelvin Maglev Trains, #1004 ................................................Movie Guide #2 The Head Chef, #4014 ...............................................Movie Guide #2

GEOMETRY

General

Understands the concept of "similarity" The Art Director, #4004.............................................Movie Guide #5 ........................................................................Movie Guide #8 The ABC's of Architecture, #4010 ............................Movie Guide #3

Understands the concept "symmetry" with respect to shapes Life Under the Ocean, #2004.....................................Movie Guide #2

Lines, Polygons and Angles

Can draw and identify parallel and perpendicular lines Solar Power Plants, #1018 .........................................Movie Guide #3

Can identify/describe common polygons Inventing with Polygons, #1007 ................................The Movie ........................................................................Movie Guide #4 ........................................................................Movie Guide #6

Can specify defining characteristics of common polygons Solar Powered Cars, #1001........................................Movie Guide #14 Inventing with Polygons, #1007 ................................The Movie ........................................................................Movie Guide #4


........................................................................Movie Guide #6 Corporate Graphics, #4008 ........................................Movie Guide #3 The ABC's of Architecture, #4010 ............................Movie Guide #3 Designing Sunglasses, #4012.....................................Movie Guide #11

Understands the concept "angle" Solar Powered Cars, #1001........................................Movie Guide #15 Flights of Imagination, #1003....................................Movie Guide #5 Bicycle Design, #1012...............................................Movie Guide #6

Can measure angles Flights of Imagination, #1003....................................Movie Guide #5 An Engineer and Her Robot, #1005...........................Movie Guide #4 Bicycle Design, #1012...............................................Movie Guide #6 Solar Power Plants, #1018 .........................................Movie Guide #2 Healing Injured Wild Animals, #2002.......................Movie Guide #4 Voyage of the Ventana 3, 4 and 5, #2013-2015 ........Movie Guide #4

Understands the concept "perimeter" The Lundberg Farms, #2005......................................Movie Guide #10 The ABC's of Architecture, #4010 ............................Movie Guide #4 Water Tanks, #5006 ...................................................Movie Guide #3

Can compute the area of a trapezoid Solar Powered Cars, #1001........................................Movie Guide #14 Flights of Imagination, #1003....................................Movie Guide #6 Electricity from the Wind, #1010 ..............................Movie Guide #6 Windsails, #1011........................................................Movie Guide #2 Prototypes, #1014 ......................................................Movie Guide #1 The Bose Speaker, #1017 ..........................................Movie Guide #2 Creating a Campground, #4009 .................................Movie Guide #4

Can compute the area of a parallelogram The ABC's of Architecture, #4010 ............................Movie Guide #4

Can compute the area of a triangle Solar Powered Cars, #1001........................................Movie Guide #14 ........................................................................Movie Guide #18 The Pterodactyl Flies Again, #1002...........................Movie Guide #6 Inventing with Polygons, #1007 ................................Movie Guide #2 Windsails, #1011........................................................Movie Guide #2 Growing Bugs, #2003 ................................................Movie Guide #10 Creating a Campground, #4009 .................................Movie Guide #4 Designing Sunglasses, #4012.....................................Movie Guide #8


Can compute the area of a rectangle Solar Powered Cars, #1001........................................Movie Guide #3 ........................................................................Movie Guide #14 Electricity from the Wind, #1010 ..............................Movie Guide #6 Windsails, #1011........................................................Movie Guide #2 Prototypes, #1014 ......................................................Movie Guide #1 Growing Bugs, #2003 ................................................Movie Guide #10 The Lundberg Farms, #2005......................................Movie Guide #10 Cheetahs, #2006.........................................................Movie Guide #4 Tornado Chase, #3002 ...............................................Movie Guide #1 Sports Photography , #4003.......................................Movie Guide #7 The Art Director, #4004.............................................Movie Guide #2 ........................................................................Movie Guide #3 Creating an Advertising Campaign, #4007................Movie Guide #5 Creating a Campground, #4009 .................................Movie Guide #4 Designing Sunglasses, #4012.....................................Movie Guide #8

Understands the concept "polygon" Inventing with Polygons, #1007 ................................Movie Guide #6 The ABC's of Architecture, #4010 ............................Movie Guide #4

Understands the Pythagorean Theorem and can apply it to solving problems related to right triangles

Inventing with Polygons, #1007 ................................Movie Guide #3 Geometry and Structural Engineering, #1009 ...........Movie Guide #10 Voyage of the Ventana 3, 4 and 5, #2013-2015 ........Movie Guide #6 Searching for Water on Mars, #3001.........................Movie Guide #7 Sports Photography , #4003.......................................Movie Guide #7

Circles

Understands the concepts "radius" and "diameter" Solar Powered Cars, #1001........................................Movie Guide #16 Bicycle Design, #1012...............................................Movie Guide #4 ........................................................................Movie Guide #5 Solar Power Plants, #1018 .........................................Movie Guide #2 Space Weather, #3004 ...............................................Movie Guide #1

Can determine the area of a sector of a circle (given its central angle and the length of the radius or diameter)

Growing Bugs, #2003 ................................................Movie Guide #10

Understands and can apply the formulas "area= pi*radius(squared)" and "area = radius * circumference/2"

Solar Powered Cars, #1001........................................Movie Guide #14 Prototypes, #1014 ......................................................Movie Guide #1


Voyage of the Ventana 1 & 2, #2011-2012 ...............Movie Guide #4 Voyage of the Ventana 3, 4 and 5, #2013-2015 ........Movie Guide #6 Searching for Water on Mars, #3001.........................Movie Guide #11 Sports Photography , #4003.......................................Movie Guide #9 Designing Sunglasses, #4012.....................................Movie Guide #9

Can use the unit "degree" to measure or describe a position on or sector of a circle Voyage of the Ventana 3, 4 and 5, #2013-2015 ........Movie Guide #2

Understands and can apply the formulas "circumference = pi*diameter" and "circumference = 2*pi*radius"

Solar Powered Cars, #1001........................................Movie Guide #17 Roller Coasters, #1008...............................................Movie Guide #6 Electricity from the Wind, #1010 ..............................Movie Guide #3 Bicycle Design, #1012...............................................Movie Guide #4 ........................................................................Movie Guide #5 Searching for Water on Mars, #3001.........................Movie Guide #11 Designing Sunglasses, #4012.....................................Movie Guide #9 Communications Satellites, #5004 ............................Movie Guide #3

Understands and can apply the formula "area= pi*radius(squared)" Electricity from the Wind, #1010 ..............................Movie Guide #3 Growing Bugs, #2003 ................................................Movie Guide #10 The Lundberg Farms, #2005......................................Movie Guide #12

Understands the concept "circumference" Electricity from the Wind, #1010 ..............................Movie Guide #3

Solids

Can identify and describe common solid figures (cube, sphere, prism, pyramid, code, cylinder)

Inventing with Polygons, #1007 ................................Movie Guide #1

Understands the concept "polyhedron" Inventing with Polygons, #1007 ................................Movie Guide #5 ........................................................................Movie Guide #6

Understands the concept "surface area" Solar Powered Cars, #1001........................................Movie Guide #18 The Pterodactyl Flies Again, #1002...........................Movie Guide #6 Inventing with Polygons, #1007 ................................Movie Guide #2 Geometry and Structural Engineering, #1009 ...........Movie Guide #7 Prototypes, #1014 ......................................................Movie Guide #1 Searching for Water on Mars, #3001.........................Movie Guide #4 Float Designer, #4016................................................Movie Guide #3


........................................................................Movie Guide #4

Can compute the volume of a cylinder Flights of Imagination, #1003....................................Movie Guide #7 Bicycle Design, #1012...............................................Movie Guide #8 The Bose Speaker, #1017 ..........................................Movie Guide #2 The Lundberg Farms, #2005......................................Movie Guide #11 Models for Movies, #4005.........................................Movie Guide #1 Tunnel Number 3, #5002 ...........................................Movie Guide #2 ........................................................................Movie Guide #4 ........................................................................Movie Guide #9 The New York City Subway, #5005..........................Movie Guide #4 Water Tanks, #5006 ...................................................Movie Guide #4 ........................................................................Movie Guide #5 ........................................................................Movie Guide #8 ........................................................................Movie Guide #10

Can compute the volume of a sphere Models for Movies, #4005.........................................Movie Guide #1 ........................................................................Movie Guide #5 The ABC's of Architecture, #4010 ............................Movie Guide #5

Can compute the surface area of a sphere Voyage of the Ventana 1 & 2, #2011-2012 ...............Movie Guide #3 Searching for Water on Mars, #3001.........................Movie Guide #9 Space Weather, #3004 ...............................................Movie Guide #3 Float Designer, #4016................................................Movie Guide #4

Can use spherical coordinates to identify a location on a sphere Undersea Treasure, #3003 .........................................Movie Guide #5

Can compute the surface area of a rectangular prism Voyage of the Ventana 1 & 2, #2011-2012 ...............Movie Guide #6 Searching for Water on Mars, #3001.........................Movie Guide #4

Can compute the volume of a rectangular prism Inventing with Polygons, #1007 ................................Movie Guide #1 Geometry and Structural Engineering, #1009 ...........Movie Guide #2 ........................................................................Movie Guide #7 Voyage of the Ventana 1 & 2, #2011-2012 ...............Movie Guide #6 The ABC's of Architecture, #4010 ............................Movie Guide #5 Designing Toy Cars, #4013 .......................................Movie Guide #1 Water Supply, #5001 .................................................Movie Guide #4 ........................................................................Movie Guide #7 Tunnel Number 3, #5002 ...........................................Movie Guide #3 The New York City Subway, #5005..........................Movie Guide #4


Can compute the volume of a triangular prism The ABC's of Architecture, #4010 ............................Movie Guide #5

FRACTIONS, DECIMALS, PERCENTS, RATIOS

General

Understands the concept of "fraction" as "a part of a whole" or "a part of a set" Solar Powered Cars, #1001........................................Movie Guide #2 An Engineer and Her Robot, #1005...........................Movie Guide #1

Understands the concept "scale" The Pterodactyl Flies Again, #1002...........................Movie Guide #6 Maglev Trains, #1004 ................................................Movie Guide #1 Geometry and Structural Engineering, #1009 ...........Movie Guide #7 Bicycle Design, #1012...............................................Movie Guide #6 Concert Acoustics, #1013 ..........................................Movie Guide #4 Prototypes, #1014 ......................................................Movie Guide #3 ........................................................................Movie Guide #5 Cheetahs, #2006.........................................................Movie Guide #4 Bats, #2007 ................................................................Movie Guide #6 Voyage of the Ventana 3, 4 and 5, #2013-2015 ........Movie Guide #4 Undersea Treasure, #3003 .........................................Movie Guide #3 The Art Director, #4004.............................................Movie Guide #1 Models for Movies, #4005.........................................Movie Guide #2 ........................................................................Movie Guide #7 Corporate Graphics, #4008 ........................................Movie Guide #1 Creating a Campground, #4009 .................................Movie Guide #1 ........................................................................Movie Guide #3 The ABC's of Architecture, #4010 ............................Movie Guide #1 Designing Toy Cars, #4013 .......................................The Movie ........................................................................Movie Guide #1 ........................................................................Movie Guide #2 ........................................................................Movie Guide #3 ........................................................................Movie Guide #5 ........................................................................Movie Guide #6 Float Designer, #4016................................................Movie Guide #3 Communication at the Speed of Light, #5003 ...........Movie Guide #1

Can create a scale drawing Creating a Campground, #4009 .................................Movie Guide #1 The ABC's of Architecture, #4010 ............................Movie Guide #2 Designing Sunglasses, #4012.....................................Movie Guide #10


Can solve a proportion for an unknown Solar Powered Cars, #1001........................................Movie Guide #6 ........................................................................Movie Guide #9 ........................................................................Movie Guide #10 The Pterodactyl Flies Again, #1002...........................Movie Guide #6 Maglev Trains, #1004 ................................................Movie Guide #1 ........................................................................Movie Guide #4 Geometry and Structural Engineering, #1009 ...........Movie Guide #11 Bicycle Design, #1012...............................................Movie Guide #4 ........................................................................Movie Guide #5 Growing Bugs, #2003 ................................................Movie Guide #3 ........................................................................Movie Guide #1 The Lundberg Farms, #2005......................................Movie Guide #6 Voyage of the Ventana 1 & 2, #2011-2012 ...............Movie Guide #5 Searching for Water on Mars, #3001.........................Movie Guide #3 Eyes on the Universe 3 & 4, #3007-3008 ..................Movie Guide #4 Drumming in Fractions, #4001 ..................................Movie Guide #1 ........................................................................Movie Guide #2 Sports Photography , #4003.......................................Movie Guide #5 ........................................................................Movie Guide #6 The Art Director, #4004.............................................Movie Guide #5 Models for Movies, #4005.........................................Movie Guide #2 ........................................................................Movie Guide #7 Creating an Advertising Campaign, #4007................Movie Guide #9

Can use proportional reasoning to solve problems Bicycle Design, #1012...............................................Movie Guide #4 ........................................................................Movie Guide #5 Concert Acoustics, #1013 ..........................................Movie Guide #3 Prototypes, #1014 ......................................................Movie Guide #3 Healing Injured Wild Animals, #2002.......................Movie Guide #1 Growing Bugs, #2003 ................................................Movie Guide #8 The Lundberg Farms, #2005......................................Movie Guide #4 ........................................................................Movie Guide #5 Forest Rangers, #2010 ...............................................Movie Guide #1 Drumming in Fractions, #4001 ..................................Movie Guide #1 Creating a Campground, #4009 .................................Movie Guide #9 The ABC's of Architecture, #4010 ............................Movie Guide #1 Designing Toy Cars, #4013 .......................................Movie Guide #2 ........................................................................Movie Guide #3 ........................................................................Movie Guide #5 Float Designer, #4016................................................Movie Guide #1 Water Supply, #5001 .................................................Movie Guide #1 ........................................................................Movie Guide #6 Tunnel Number 3, #5002 ...........................................Movie Guide #5


Water Tanks, #5006 ...................................................Movie Guide #6 Popcorn, Peanuts, Hot Dogs, #5007 ..........................Movie Guide #5

Can determine whether or not two given ratios are equivalent Inventing with Polygons, #1007 ................................Movie Guide #4

Understands the concept "similar" Geometry and Structural Engineering, #1009 ...........Movie Guide #11

Understands the role of the decimal point in numbers with decimal fraction parts Solar Powered Cars, #1001........................................Movie Guide #4

Can read and write decimal numbers Solar Powered Cars, #1001........................................Movie Guide #4

Can use percents to describe real world situations Solar Powered Cars, #1001........................................Movie Guide #3 ........................................................................Movie Guide #5 Solar Power Plants, #1018 .........................................Movie Guide #1

Understands the concept "percent" Solar Powered Cars, #1001........................................Movie Guide #8 Searching for Water on Mars, #3001.........................Movie Guide #3

Understands and can use three methods of expressing a ratio ("2 to 3", "2:3", "2/3") Bicycle Design, #1012...............................................Movie Guide #3

Can describe a real world situation in terms of ratios The Pterodactyl Flies Again, #1002...........................Movie Guide #1 Flights of Imagination, #1003....................................Movie Guide #8 Windsails, #1011........................................................Movie Guide #1 The Bose Speaker, #1017 ..........................................Movie Guide #3 Bats, #2007 ................................................................Movie Guide #4 Tornado Chase, #3002 ...............................................Movie Guide #6

Understands the concept "ratio" Solar Powered Cars, #1001........................................Movie Guide #6 ........................................................................Movie Guide #7 The Pterodactyl Flies Again, #1002...........................Movie Guide #1 ........................................................................Movie Guide #5 Flights of Imagination, #1003....................................Movie Guide #8 Inventing with Polygons, #1007 ................................Movie Guide #4 Windsails, #1011........................................................Movie Guide #1 Bicycle Design, #1012...............................................Movie Guide #3 Concert Acoustics, #1013 ..........................................Movie Guide #3 The Bose Speaker, #1017 ..........................................Movie Guide #3 Growing Bugs, #2003 ................................................Movie Guide #9


Life Under the Ocean, #2004.....................................Movie Guide #4 The Lundberg Farms, #2005......................................Movie Guide #6 Cheetahs, #2006.........................................................Movie Guide #3 Forest Rangers, #2010 ...............................................Movie Guide #1 ........................................................................Movie Guide #4 Space Weather, #3004 ...............................................Movie Guide #1 Sports Photography , #4003.......................................Movie Guide #6 ........................................................................Movie Guide #9 Creating a Campground, #4009 .................................Movie Guide #9 Designing Dolls, #4011 .............................................Movie Guide #5 Water Supply, #5001 .................................................Movie Guide #1 Popcorn, Peanuts, Hot Dogs, #5007 ..........................Movie Guide #2

Equivalence

Understands the concept "equivalent fractions" Solar Powered Cars, #1001........................................Movie Guide #2

Can express ratios as fractions Inventing with Polygons, #1007 ................................Movie Guide #4

Can compare ratios Windsails, #1011........................................................Movie Guide #1 Bicycle Design, #1012...............................................Movie Guide #3 Growing Bugs, #2003 ................................................Movie Guide #9 ........................................................................Movie Guide #10 Life Under the Ocean, #2004.....................................Movie Guide #4 Cheetahs, #2006.........................................................Movie Guide #3 Bats, #2007 ................................................................Movie Guide #3 ........................................................................Movie Guide #4 Forest Rangers, #2010 ...............................................Movie Guide #4 Tornado Chase, #3002 ...............................................Movie Guide #6 Creating a Campground, #4009 .................................Movie Guide #6 Designing Dolls, #4011 .............................................Movie Guide #5 The New York City Subway, #5005..........................Movie Guide #5

Can convert fractions to decimal form Prototypes, #1014 ......................................................Movie Guide #2 ........................................................................Movie Guide #3 First One in the Ballpark, #2009................................Movie Guide #1 Sports Photography , #4003.......................................Movie Guide #2

Can determine if one fraction is less than, equivalent to, or greater than another fraction Solar Powered Cars, #1001........................................Movie Guide #2 ........................................................................Movie Guide #7 An Engineer and Her Robot, #1005...........................Movie Guide #1


The New York City Subway, #5005..........................Movie Guide #1 Water Tanks, #5006 ...................................................Movie Guide #2 Popcorn, Peanuts, Hot Dogs, #5007 ..........................Movie Guide #1

Can reduce a fraction to lowest terms Solar Powered Cars, #1001........................................Movie Guide #2

Operations

Can divide fractions Flights of Imagination, #1003....................................Movie Guide #1 ........................................................................Movie Guide #2

Can add and subtract fractions of different denominator Solar Powered Cars, #1001........................................Movie Guide #1 Geometry and Structural Engineering, #1009 ...........Movie Guide #1 Drumming in Fractions, #4001 ..................................Movie Guide #2

Can multiply fractions Flights of Imagination, #1003....................................Movie Guide #2 Geometry and Structural Engineering, #1009 ...........Movie Guide #3 Electricity from the Wind, #1010 ..............................Movie Guide #1 Bicycle Design, #1012...............................................Movie Guide #2 The Bose Speaker, #1017 ..........................................Movie Guide #1 Cheetahs, #2006.........................................................Movie Guide #1 ........................................................................Movie Guide #2 Searching for Water on Mars, #3001.........................Movie Guide #1 Creating an Advertising Campaign, #4007................Movie Guide #1 ........................................................................Movie Guide #3 ........................................................................Movie Guide #4 Designing Sunglasses, #4012.....................................Movie Guide #1 ........................................................................Movie Guide #2 The Head Chef, #4014 ...............................................Movie Guide #1 ........................................................................Movie Guide #4 ........................................................................Movie Guide #7 ........................................................................Movie Guide #7 Float Designer, #4016................................................Movie Guide #1

Can add and subtract decimal numbers to two decimal places Life Under the Ocean, #2004.....................................The Movie

Can add and subtract any two decimal numbers Solar Powered Cars, #1001........................................Movie Guide #4 Flights of Imagination, #1003....................................Movie Guide #3 An Engineer and Her Robot, #1005...........................Movie Guide #3


Can multiply and divide decimal numbers Solar Powered Cars, #1001........................................Movie Guide #3 Flights of Imagination, #1003....................................Movie Guide #10 Roller Coasters, #1008...............................................Movie Guide #3 Geometry and Structural Engineering, #1009 ...........Movie Guide #2 Bicycle Design, #1012...............................................Movie Guide #8 Prototypes, #1014 ......................................................Movie Guide #2 ........................................................................Movie Guide #3 Growing Bugs, #2003 ................................................Movie Guide #1 Life Under the Ocean, #2004.....................................The Movie The Lundberg Farms, #2005......................................Movie Guide #2 Bats, #2007 ................................................................Movie Guide #1 First One in the Ballpark, #2009................................Movie Guide #2 Voyage of the Ventana 1 & 2, #2011-2012 ...............Movie Guide #2 Searching for Water on Mars, #3001.........................Movie Guide #3 Sports Photography , #4003.......................................Movie Guide #1 Models for Movies, #4005.........................................Movie Guide #5 Creating an Advertising Campaign, #4007................Movie Guide #2 The ABC's of Architecture, #4010 ............................Movie Guide #1 Designing Sunglasses, #4012.....................................Movie Guide #3 ........................................................................Movie Guide #4 The Tools of Graphic Design, #4015.........................Movie Guide #1 Communication at the Speed of Light, #5003 ...........Movie Guide #5 The New York City Subway, #5005..........................Movie Guide #5

Can solve problems of the form x% of a = b when any two of the factors are known. Solar Powered Cars, #1001........................................Movie Guide #3 ........................................................................Movie Guide #5 ........................................................................Movie Guide #7 The Pterodactyl Flies Again, #1002...........................Movie Guide #3 Testing the Robotic Hand, #1006 ..............................Movie Guide #1 Roller Coasters, #1008...............................................Movie Guide #1 ........................................................................Movie Guide #4 Geometry and Structural Engineering, #1009 ...........Movie Guide #4 ........................................................................Movie Guide #5 ........................................................................Movie Guide #6 Electricity from the Wind, #1010 ..............................Movie Guide #2 Concert Acoustics, #1013 ..........................................Movie Guide #5 Prototypes, #1014 ......................................................Movie Guide #4 Solar Power Plants, #1018 .........................................Movie Guide #1 Making Sparks, #1019-1021......................................Movie Guide #1 ........................................................................Movie Guide #4 ........................................................................Movie Guide #5 ........................................................................Movie Guide #7 Off the Grid, #1022-1024 ..........................................Movie Guide #1


........................................................................Movie Guide #2 ........................................................................Movie Guide #3 Healing Injured Wild Animals, #2002.......................Movie Guide #2 ........................................................................Movie Guide #3 ........................................................................Movie Guide #6 Growing Bugs, #2003 ................................................Movie Guide #2 Life Under the Ocean, #2004.....................................Movie Guide #3 The Lundberg Farms, #2005......................................Movie Guide #3 ........................................................................Movie Guide #12 Cheetahs, #2006.........................................................Movie Guide #6 ........................................................................Movie Guide #7 ........................................................................Movie Guide #10 Bats, #2007 ................................................................Movie Guide #5 First One in the Ballpark, #2009................................Movie Guide #3 ........................................................................Movie Guide #4 Forest Rangers, #2010 ...............................................Movie Guide #2 Voyage of the Ventana 1 & 2, #2011-2012 ...............Movie Guide #3 ........................................................................Movie Guide #6 Voyage of the Ventana 3, 4 and 5, #2013-2015 ........Movie Guide #3 Tornado Chase, #3002 ...............................................Movie Guide #2 ........................................................................Movie Guide #5 Undersea Treasure, #3003 .........................................Movie Guide #2 Models for Movies, #4005.........................................Movie Guide #4 Creating an Advertising Campaign, #4007................Movie Guide #5 ........................................................................Movie Guide #6 ........................................................................Movie Guide #7 Corporate Graphics, #4008 ........................................Movie Guide #2 Creating a Campground, #4009 .................................Movie Guide #2 ........................................................................Movie Guide #5 Designing Dolls, #4011 .............................................Movie Guide #1 ........................................................................Movie Guide #2 ........................................................................Movie Guide #3 Designing Sunglasses, #4012.....................................Movie Guide #5 ........................................................................Movie Guide #6 ........................................................................Movie Guide #7 The Head Chef, #4014 ...............................................Movie Guide #3 ........................................................................Movie Guide #5 The Tools of Graphic Design, #4015.........................Movie Guide #4 Float Designer, #4016................................................Movie Guide #4 Water Supply, #5001 .................................................Movie Guide #8 Communication at the Speed of Light, #5003 ...........Movie Guide #3 The New York City Subway, #5005..........................Movie Guide #2 ........................................................................Movie Guide #3 Water Tanks, #5006 ...................................................Movie Guide #4 Popcorn, Peanuts, Hot Dogs, #5007 ..........................Movie Guide #3


Can quickly divide decimal numbers by powers of ten Designing Dolls, #4011 .............................................Movie Guide #2

Number Sense and Estimation

Can mentally convert percents into commonly used fractions or whole numbers that express about the same amount (e.g., 52% = about 1/2)

The Tools of Graphic Design, #4015.........................Movie Guide #4

STATISTICS AND PROBABILITY

General

Can plan and execute a survey with responses to a set of questions from a set of individuals, and summarize the results using appropriate statistical measures and graphical representations.

Creating an Advertising Campaign, #4007................Movie Guide #12 Designing Sunglasses, #4012.....................................Movie Guide #12

Can use the counting principle to find the number of possible combinations of elements. An Engineer and Her Robot, #1005...........................Movie Guide #2 Creating an Advertising Campaign, #4007................Movie Guide #10 Designing Sunglasses, #4012.....................................Movie Guide #15

Understands the statistical concept of "sample" Eyes on the Universe 3 & 4, #3007-3008 ..................Movie Guide #4

Understands the effect of sample size on the accuracy of measured probabilities. Geometry and Structural Engineering, #1009 ...........Movie Guide #9 Creating an Advertising Campaign, #4007................Movie Guide #13 Designing Sunglasses, #4012.....................................Movie Guide #16

Can find the mean, median, mode and range of a set of numbers An Engineer and Her Robot, #1005...........................Movie Guide #5 Geometry and Structural Engineering, #1009 ...........Movie Guide #6 Electricity from the Wind, #1010 ..............................Movie Guide #4 Prototypes, #1014 ......................................................Movie Guide #5 Healing Injured Wild Animals, #2002.......................Movie Guide #2 Growing Bugs, #2003 ................................................Movie Guide #8 Life Under the Ocean, #2004.....................................Movie Guide #1 Cheetahs, #2006.........................................................Movie Guide #5 Bats, #2007 ................................................................Movie Guide #5 Designing Sunglasses, #4012.....................................Movie Guide #14 Designing Toy Cars, #4013 .......................................Movie Guide #6 Popcorn, Peanuts, Hot Dogs, #5007 ..........................Movie Guide #5


Knows the purpose of the subject of statistics Electricity from the Wind, #1010 ..............................Movie Guide #4 Cheetahs, #2006.........................................................Movie Guide #5 First One in the Ballpark, #2009................................The Movie

Understands the concepts average (mean), range, mode, and median Solar Powered Cars, #1001........................................Movie Guide #20 Roller Coasters, #1008...............................................Movie Guide #5 Geometry and Structural Engineering, #1009 ...........Movie Guide #6 First One in the Ballpark, #2009................................Movie Guide #5 Designing Sunglasses, #4012.....................................Movie Guide #13

Can decide which statistical measure is most appropriate in a given situation. Roller Coasters, #1008...............................................Movie Guide #5 Geometry and Structural Engineering, #1009 ...........Movie Guide #8 Growing Bugs, #2003 ................................................Movie Guide #8 Cheetahs, #2006.........................................................Movie Guide #5 Bats, #2007 ................................................................Movie Guide #5 First One in the Ballpark, #2009................................Movie Guide #5 Forest Rangers, #2010 ...............................................Movie Guide #2 Designing Sunglasses, #4012.....................................Movie Guide #13 Designing Toy Cars, #4013 .......................................Movie Guide #6

Can create a histogram The Lundberg Farms, #2005......................................Movie Guide #13 Popcorn, Peanuts, Hot Dogs, #5007 ..........................Movie Guide #4

Understands the concept "probability" Solar Powered Cars, #1001........................................Movie Guide #19 Flights of Imagination, #1003....................................Movie Guide #10 Roller Coasters, #1008...............................................Movie Guide #7 The Lundberg Farms, #2005......................................Movie Guide #13 Searching for Water on Mars, #3001.........................Movie Guide #5 Undersea Treasure, #3003 .........................................The Movie

Can find and express the experimental or observed probability of an event and use it to predict future events.

The Lundberg Farms, #2005......................................Movie Guide #13 Creating a Campground, #4009 .................................Movie Guide #7

Understands the concept of sampling (as a way to analyze and estimate the characteristics of a population from a set of elements)

Prototypes, #1014 ......................................................Movie Guide #5


Probability Computations

Can find and express the theoretical probability of an outcome based on analysis of all possible outcomes

Designing Sunglasses, #4012.....................................Movie Guide #16

Can calculate probabilities of combinations of events where the probabilities of the single events are known

Solar Powered Cars, #1001........................................Movie Guide #19 Flights of Imagination, #1003....................................Movie Guide #10 Roller Coasters, #1008...............................................Movie Guide #7 Geometry and Structural Engineering, #1009 ...........Movie Guide #9 Cheetahs, #2006.........................................................Movie Guide #9 Searching for Water on Mars, #3001.........................Movie Guide #5 Tornado Chase, #3002 ...............................................Movie Guide #3 Space Weather, #3004 ...............................................Movie Guide #2

Charts and Graphs

Can represent and interpret numerical data in chart and graph form Life Under the Ocean, #2004.....................................Movie Guide #3 The Lundberg Farms, #2005......................................Movie Guide #9 Cheetahs, #2006.........................................................Movie Guide #8 Tornado Chase, #3002 ...............................................Movie Guide #4 Creating an Advertising Campaign, #4007................Movie Guide #8

Can do a scatterplot of data Healing Injured Wild Animals, #2002.......................Movie Guide #5

ALGEBRA

General

Understands the concept "variable" Solar Powered Cars, #1001........................................Movie Guide #21 Life Under the Ocean, #2004.....................................Movie Guide #5 Cheetahs, #2006.........................................................Movie Guide #11 Sports Photography , #4003.......................................Movie Guide #12 The Art Director, #4004.............................................Movie Guide #6 Creating a Campground, #4009 .................................The Movie Designing Sunglasses, #4012.....................................Movie Guide #18 ........................................................................Movie Guide #20


Expressions

Can evaluate expressions by substituting values for variables The Pterodactyl Flies Again, #1002...........................Movie Guide #4 Maglev Trains, #1004 ................................................Movie Guide #5 Roller Coasters, #1008...............................................Movie Guide #8 First One in the Ballpark, #2009................................Movie Guide #6 Voyage of the Ventana 3, 4 and 5, #2013-2015 ........Movie Guide #5 Space Weather, #3004 ...............................................Movie Guide #6 Eyes on the Universe 1 & 2, #3005-3006 ..................Movie Guide #1 Music for Movies, #4006...........................................Movie Guide #2 Designing Sunglasses, #4012.....................................Movie Guide #19 The Tools of Graphic Design, #4015.........................Movie Guide #2 Float Designer, #4016................................................Movie Guide #2 Communication at the Speed of Light, #5003 ...........Movie Guide #5 Communications Satellites, #5004 ............................Movie Guide #9

Can simplify expressions using correct order of operations The Pterodactyl Flies Again, #1002...........................Movie Guide #4 Flights of Imagination, #1003....................................Movie Guide #12 Float Designer, #4016................................................Movie Guide #2 Communication at the Speed of Light, #5003 ...........Movie Guide #5

Understands the function of grouping symbols in an expression Flights of Imagination, #1003....................................Movie Guide #12

Can translate a mathematical relationship described in words into an expression, equation or inequality

Cheetahs, #2006.........................................................Movie Guide #11 Creating an Advertising Campaign, #4007................Movie Guide #14 Designing Sunglasses, #4012.....................................Movie Guide #19

Can express numbers in scientific notation Designing Sunglasses, #4012.....................................Movie Guide #17 Communication at the Speed of Light, #5003 ...........Movie Guide #2 The New York City Subway, #5005..........................Movie Guide #3

Can do arithmetic operations with numbers that are expressed in scientific notation The Bose Speaker, #1017 ..........................................Movie Guide #4 Healing Injured Wild Animals, #2002.......................Movie Guide #3 Space Weather, #3004 ...............................................Movie Guide #3 ........................................................................Movie Guide #6 Eyes on the Universe 1 & 2, #3005-3006 ..................Movie Guide #1 ........................................................................Movie Guide #2 Communication at the Speed of Light, #5003 ...........Movie Guide #2 The New York City Subway, #5005..........................Movie Guide #3


Understands the concept "root" Roller Coasters, #1008...............................................Movie Guide #8

Can simplify expressions using fractional exponents Percussion Instruments, #4002 ..................................Movie Guide #2

Understands the concept "logarithm" Concert Acoustics, #1013 ..........................................Movie Guide #2 The Disappearing Call of the Wild, #2001 ................Movie Guide #5

Can simplify expressions involving logarithms Concert Acoustics, #1013 ..........................................Movie Guide #2 The Disappearing Call of the Wild, #2001 ................Movie Guide #5

Equations

Can do basic operations on both sides of an equation in such a way as to preserve the equality

Flights of Imagination, #1003....................................Movie Guide #12 Maglev Trains, #1004 ................................................Movie Guide #5 Roller Coasters, #1008...............................................Movie Guide #8 Electricity from the Wind, #1010 ..............................Movie Guide #7 Concert Acoustics, #1013 ..........................................Movie Guide #1 The Bose Speaker, #1017 ..........................................Movie Guide #5 The Disappearing Call of the Wild, #2001 ................Movie Guide #3 Healing Injured Wild Animals, #2002.......................Movie Guide #6 First One in the Ballpark, #2009................................Movie Guide #6 Space Weather, #3004 ...............................................Movie Guide #6 Eyes on the Universe 1 & 2, #3005-3006 ..................Movie Guide #1 The Art Director, #4004.............................................Movie Guide #8 The Tools of Graphic Design, #4015.........................Movie Guide #2 Communications Satellites, #5004 ............................Movie Guide #8

Patterns, Functions and Relations

Understands the concept "pattern" The Disappearing Call of the Wild, #2001 ................Movie Guide #6 Music for Movies, #4006...........................................Movie Guide #4

Understands the concept "function" Solar Powered Cars, #1001........................................Movie Guide #22 Maglev Trains, #1004 ................................................Movie Guide #6

Understands the concepts "independent variable" and "dependent variable" Testing the Robotic Hand, #1006 ..............................Movie Guide #2 Forest Rangers, #2010 ...............................................Movie Guide #3


Designing Sunglasses, #4012.....................................Movie Guide #20 The New York City Subway, #5005..........................Movie Guide #6

Can plot a point in a two-dimensional coordinate system, given the coordinates, or determine the coordinates of a given point

Testing the Robotic Hand, #1006 ..............................Movie Guide #2 Electricity from the Wind, #1010 ..............................Movie Guide #5 Windsails, #1011........................................................Movie Guide #3 Making Sparks, #1019-1021......................................Movie Guide #6 Forest Rangers, #2010 ...............................................Movie Guide #3 Voyage of the Ventana 1 & 2, #2011-2012 ...............Movie Guide #7 Searching for Water on Mars, #3001.........................Movie Guide #11 Tornado Chase, #3002 ...............................................Movie Guide #7 Music for Movies, #4006...........................................Movie Guide #1 ........................................................................Movie Guide #2 ........................................................................Movie Guide #5 The ABC's of Architecture, #4010 ............................Movie Guide #6 Designing Dolls, #4011 .............................................Movie Guide #4 Designing Sunglasses, #4012.....................................Movie Guide #20 Water Supply, #5001 .................................................Movie Guide #8 The New York City Subway, #5005..........................Movie Guide #6

Can find the distance between two points in three-dimensional space. Tunnel Number 3, #5002 ...........................................Movie Guide #10

Can interpret (x,y,z) notation as the position of a point in three-dimensional space. Tunnel Number 3, #5002 ...........................................Movie Guide #10

Can relate aspects of a graphical model to the real world situation which is being modeled

Testing the Robotic Hand, #1006 ..............................Movie Guide #2 Electricity from the Wind, #1010 ..............................Movie Guide #5 Windsails, #1011........................................................Movie Guide #3 Bicycle Design, #1012...............................................Movie Guide #9 Concert Acoustics, #1013 ..........................................Movie Guide #5 Making Sparks, #1019-1021......................................Movie Guide #6 The Disappearing Call of the Wild, #2001 ................Movie Guide #6 Cheetahs, #2006.........................................................Movie Guide #8 Voyage of the Ventana 1 & 2, #2011-2012 ...............Movie Guide #7 Tornado Chase, #3002 ...............................................Movie Guide #7 The ABC's of Architecture, #4010 ............................Movie Guide #6 Designing Sunglasses, #4012.....................................Movie Guide #20 Water Supply, #5001 .................................................Movie Guide #8 Tunnel Number 3, #5002 ...........................................Movie Guide #8 The New York City Subway, #5005..........................Movie Guide #6


Can extrapolate and interpolate a graph when a pattern exists Testing the Robotic Hand, #1006 ..............................Movie Guide #2 Electricity from the Wind, #1010 ..............................Movie Guide #5 Making Sparks, #1019-1021......................................Movie Guide #6 The Lundberg Farms, #2005......................................Movie Guide #14 Cheetahs, #2006.........................................................Movie Guide #8 First One in the Ballpark, #2009................................Movie Guide #7 The Art Director, #4004.............................................Movie Guide #7 The ABC's of Architecture, #4010 ............................Movie Guide #6 Designing Sunglasses, #4012.....................................Movie Guide #20 Water Supply, #5001 .................................................Movie Guide #8 The New York City Subway, #5005..........................Movie Guide #6 Popcorn, Peanuts, Hot Dogs, #5007 ..........................Movie Guide #5

Can identify and describe patterns of shapes Music for Movies, #4006...........................................Movie Guide #3

Can identify and describe patterns in a collection of related numerical data. Windsails, #1011........................................................Movie Guide #3 Growing Bugs, #2003 ................................................Movie Guide #9 Life Under the Ocean, #2004.....................................Movie Guide #4 ........................................................................Movie Guide #5 The Lundberg Farms, #2005......................................Movie Guide #14 Cheetahs, #2006.........................................................Movie Guide #8 First One in the Ballpark, #2009................................Movie Guide #7 Searching for Water on Mars, #3001.........................Movie Guide #6 Space Weather, #3004 ...............................................Movie Guide #5 Percussion Instruments, #4002 ..................................Movie Guide #3 Sports Photography , #4003.......................................Movie Guide #10 ........................................................................Movie Guide #14 The Art Director, #4004.............................................Movie Guide #7

Can use a functional relationship to predict the value of one variable when the other is known

Maglev Trains, #1004 ................................................Movie Guide #6 Testing the Robotic Hand, #1006 ..............................Movie Guide #2 Making Sparks, #1019-1021......................................Movie Guide #6 The Disappearing Call of the Wild, #2001 ................Movie Guide #2 Searching for Water on Mars, #3001.........................Movie Guide #6 Percussion Instruments, #4002 ..................................Movie Guide #3 Tunnel Number 3, #5002 ...........................................Movie Guide #8 Communications Satellites, #5004 ............................Movie Guide #4


Linear Equations

Understands that linear functions are characterized by the fact that the ratio of change in independent variable to change in dependent variable is constant.

Maglev Trains, #1004 ................................................Movie Guide #6 Forest Rangers, #2010 ...............................................Movie Guide #3 Voyage of the Ventana 1 & 2, #2011-2012 ...............Movie Guide #7 Designing Sunglasses, #4012.....................................Movie Guide #20 Tunnel Number 3, #5002 ...........................................Movie Guide #8

Can quickly graph a linear function which is expressed in slope-intercept form Undersea Treasure, #3003 .........................................Movie Guide #4

Understands the concept "slope" Tornado Chase, #3002 ...............................................Movie Guide #7 Tunnel Number 3, #5002 ...........................................Movie Guide #6

Can graph a function which is expressed as an inequality (e.g., "x + 2y > 5") Undersea Treasure, #3003 .........................................Movie Guide #4

Can solve a system of two linear functions algebraically Bicycle Design, #1012...............................................Movie Guide #10

Can determine the equation that represents a linear function, given two points of its graph

Tunnel Number 3, #5002 ...........................................Movie Guide #6

Quadratic Relations and Functions

Understands the concept "parabola" Solar Power Plants, #1018 .........................................Movie Guide #3 Eyes on the Universe 3 & 4, #3007-3008 ..................Movie Guide #5 Communications Satellites, #5004 ............................Movie Guide #7

Can recognize a parabolic shape Communications Satellites, #5004 ............................Movie Guide #7

Can relate the coefficients of a quadratic function to their influence on the shape and position of the parabolic graph of that function

Eyes on the Universe 1 & 2, #3005-3006 ..................Movie Guide #4 Communications Satellites, #5004 ............................Movie Guide #7

Can determine the equation of a quadratic function that closely matches a set of points Windsails, #1011........................................................Movie Guide #4 Solar Power Plants, #1018 .........................................Movie Guide #3 Forest Rangers, #2010 ...............................................Movie Guide #3 Eyes on the Universe 1 & 2, #3005-3006 ..................Movie Guide #4


Eyes on the Universe 3 & 4, #3007-3008 ..................Movie Guide #5 The ABC's of Architecture, #4010 ............................Movie Guide #6 The Head Chef, #4014 ...............................................Movie Guide #6

Can solve a quadratic equation of the form "x**2 = a", where "a" is given Roller Coasters, #1008...............................................Movie Guide #8

Can graph a quadratic function Windsails, #1011........................................................Movie Guide #4 Solar Power Plants, #1018 .........................................Movie Guide #3

Can relate aspects of the conic section represented by an quadratic relation to the values of the coefficients and constants in the relation

Windsails, #1011........................................................Movie Guide #4 Solar Power Plants, #1018 .........................................Movie Guide #3

Given the equation of a specific quadratic relation, can rapidly sketch its graph Undersea Treasure, #3003 .........................................Movie Guide #4

Rational Expressions, Equations and Functions

Can solve equations involving rational expressions Eyes on the Universe 3 & 4, #3007-3008 ..................Movie Guide #3

Exponential Functions

Can determine the equation of an exponential function that closely matches a set of points

Communication at the Speed of Light, #5003 ...........Movie Guide #6

Can represent a situation involving exponential growth or decay with a specific exponential function

Bats, #2007 ................................................................Movie Guide #7

TRIGONOMETRIC RATIOS

General

Can solve real world problems involving trigonometric ratios Flights of Imagination, #1003....................................Movie Guide #11 Testing the Robotic Hand, #1006 ..............................Movie Guide #3 Geometry and Structural Engineering, #1009 ...........Movie Guide #13 Prototypes, #1014 ......................................................Movie Guide #6 Eyes on the Universe 1 & 2, #3005-3006 ..................Movie Guide #3 Sports Photography , #4003.......................................Movie Guide #8 The Art Director, #4004.............................................Movie Guide #4


Models for Movies, #4005.........................................Movie Guide #3 Creating an Advertising Campaign, #4007................Movie Guide #11 Creating a Campground, #4009 .................................Movie Guide #8 Communication at the Speed of Light, #5003 ...........Movie Guide #4 Communications Satellites, #5004 ............................Movie Guide #5 ........................................................................Movie Guide #6

Can find the values of the ratios 'sine', 'cosine' and 'tangent' for each of the acute angles in a given right triangle

Flights of Imagination, #1003....................................Movie Guide #11 Testing the Robotic Hand, #1006 ..............................Movie Guide #3

Knows and can use the relationships among sine, cosine, and tangent ratios Flights of Imagination, #1003....................................Movie Guide #11

Can use sine, cosine and tangent ratios to solve for unknown sides or angles in right triangles

Geometry and Structural Engineering, #1009 ...........Movie Guide #13

TRIGONOMETRIC FUNCTIONS

Understands the concepts "wavelength" and "amplitude" The Bose Speaker, #1017 ..........................................Movie Guide #6 Space Weather, #3004 ...............................................Movie Guide #4

DISCRETE MATHEMATICS

Networks

Can explore alternate connectivities in a network Communication at the Speed of Light, #5003 ...........Movie Guide #1


SCIENCE

THE NATURE OF SCIENCE

Scientific Inquiry

Can measure physical properties of objects to an appropriate level of precision Maglev Trains, #1004 ................................................Movie Guide #6 Inventing with Polygons, #1007 ................................Movie Guide #6 Life Under the Ocean, #2004.....................................Movie Guide #5 Percussion Instruments, #4002 ..................................Movie Guide #3

Can carry out an investigation to test a prediction or hypothesis through the collection and analysis of data

The Pterodactyl Flies Again, #1002...........................Movie Guide #5 Percussion Instruments, #4002 ..................................Movie Guide #3

Can create a chart for the collection of experimental results The Pterodactyl Flies Again, #1002...........................Movie Guide #5 Flights of Imagination, #1003....................................Movie Guide #9 Maglev Trains, #1004 ................................................Movie Guide #6 An Engineer and Her Robot, #1005...........................Movie Guide #5 Inventing with Polygons, #1007 ................................Movie Guide #6 Life Under the Ocean, #2004.....................................Movie Guide #5 Percussion Instruments, #4002 ..................................Movie Guide #3

Can graphically analyze the relationship between variables in an investigation Flights of Imagination, #1003....................................Movie Guide #9 Maglev Trains, #1004 ................................................Movie Guide #6 An Engineer and Her Robot, #1005...........................Movie Guide #5

Can present experimental results clearly in written form and/or graphical form The Pterodactyl Flies Again, #1002...........................Movie Guide #5 Flights of Imagination, #1003....................................Movie Guide #9 Maglev Trains, #1004 ................................................Movie Guide #6 An Engineer and Her Robot, #1005...........................Movie Guide #5 Inventing with Polygons, #1007 ................................Movie Guide #6 Life Under the Ocean, #2004.....................................Movie Guide #5 Percussion Instruments, #4002 ..................................Movie Guide #3

Can design an experiment which compares behavior or characteristics of classes of objects or subjects

Flights of Imagination, #1003....................................Movie Guide #9


Can design an experiment which isolates and evaluates the relationship between two variables

The Pterodactyl Flies Again, #1002...........................Movie Guide #5 Flights of Imagination, #1003....................................Movie Guide #9 Maglev Trains, #1004 ................................................Movie Guide #6

History of Science and Technology

Knows some of the milestones of the history of manned flight Flights of Imagination, #1003....................................The Movie ........................................................................Movie Guide #4

EARTH AND ENVIRONMENTAL SCIENCES

Meteorology

Understands the concept "atmospheric pressure" The Disappearing Call of the Wild, #2001 ................The Movie Voyage of the Ventana 1 & 2, #2011-2012 ...............Movie Guide #4

Can describe some of the characteristics of a tornado Tornado Chase, #3002 ...............................................The Movie ........................................................................Movie Guide #1 ........................................................................Movie Guide #2

Oceanography

Knows that most of the earth's surface is covered by the oceans Voyage of the Ventana 1 & 2, #2011-2012 ...............The Movies

Understands the concept of "dissolved oxygen" in seawater and how it is measured Life Under the Ocean, #2004.....................................Movie Guide #1

Knows that the ocean is home to an extremely diverse range of plants and animals ........................................................................The Movie Voyage of the Ventana 1 & 2, #2011-2012 ...............The Movies Voyage of the Ventana 3, 4 and 5, #2013-2015 ........The Movies

Knows what the "deep sea" is and characteristics of sea creatures found there Life Under the Ocean, #2004.....................................The Movie

Knows some of the characteristics of the different environments that exist within the ocean (marine layers, coastal/deep sea, polar/temperate/equatorial)

Life Under the Ocean, #2004.....................................The Movie


Geology and the history of the Earth

Can explain the sources and flows of fresh water in one's own area, including its utilization by man

Water Supply, #5001 .................................................The Movie

PHYSICS

States and structure of matter

Can convert between Fahrenheit, Celsius and/or Kelvin scales Maglev Trains, #1004 ................................................Movie Guide #2

Electricity and Magnetism, Electromagnetic Spectrum

Understands the function and some aspects of the operation of batteries Solar Powered Cars, #1001........................................Movie Guide #2 Off the Grid, #1022-1024 ..........................................Movie Guide #2 ........................................................................Movie Guide #3

Can describe the action of magnetism Maglev Trains, #1004 ................................................The Movie ........................................................................Movie Guide #6

Understands the concept "electromagnetic spectrum" Designing Sunglasses, #4012.....................................Movie Guide #17

Knows the parts of the electromagnetic spectrum Space Weather, #3004 ...............................................Movie Guide #4

Understands the concept of "superconductivity" and some of its applications Maglev Trains, #1004 ................................................Movie Guide #2

Energy, Power and Heat

Understands the concept "power" Roller Coasters, #1008...............................................Movie Guide #2

Understands the concept "potential energy" ........................................................................Movie Guide #8

Understands the concept "kinetic energy" Maglev Trains, #1004 ................................................Movie Guide #5 Roller Coasters, #1008...............................................Movie Guide #8


Can use the principle of conservation of energy to solve problems involving potential and kinetic energy

Roller Coasters, #1008...............................................Movie Guide #8

Knows that energy can have several forms and be converted from one form to another Electricity from the Wind, #1010 ..............................The Movie Solar Power Plants, #1018 .........................................The Movie Making Sparks, #1019-1021......................................The Movies Off the Grid, #1022-1024 ..........................................The Movies

Knows that much of the energy that is used on Earth originally came from the sun Making Sparks, #1019-1021......................................The Movies Off the Grid, #1022-1024 ..........................................The Movies

Understands the concept "energy" Electricity from the Wind, #1010 ..............................The Movie Solar Power Plants, #1018 .........................................The Movie Making Sparks, #1019-1021......................................The Movies Off the Grid, #1022-1024 ..........................................The Movies

Understands the concept "work" Roller Coasters, #1008...............................................Movie Guide #2

Knows that energy can be stored in several ways Off the Grid, #1022-1024 ..........................................Movie Guide #1

Understands the energy units "watt-hour" and "kilowatt-hour". Making Sparks, #1019-1021......................................Movie Guide #4 ........................................................................Movie Guide #5 Off the Grid, #1022-1024 ..........................................Movie Guide #1 ........................................................................Movie Guide #2 ........................................................................Movie Guide #3

Understands the energy unit "BTU". Maglev Trains, #1004 ................................................Movie Guide #4 Tunnel Number 3, #5002 ...........................................Movie Guide #7 The New York City Subway, #5005..........................Movie Guide #3

Understands the power unit "watt". Making Sparks, #1019-1021......................................Movie Guide #6 ........................................................................Movie Guide #7 Off the Grid, #1022-1024 ..........................................Movie Guide #1 ........................................................................Movie Guide #2 ........................................................................Movie Guide #3


Understands the energy unit "foot-pound" Roller Coasters, #1008...............................................Movie Guide #2 Off the Grid, #1022-1024 ..........................................Movie Guide #4

Fluids

Understands the concept of buoyancy and what determines that amount of buoyant force that is exerted on an object in a fluid

Life Under the Ocean, #2004.....................................Movie Guide #5 Voyage of the Ventana 1 & 2, #2011-2012 ...............Movie Guide #6

Understands that fluids exert pressure on their containers and immersed objects and some of the factors the determine the degree of pressure.

Growing Bugs, #2003 ................................................Movie Guide #1 Voyage of the Ventana 1 & 2, #2011-2012 ...............The Movies ........................................................................Movie Guide #2

Mass, Motion and Force

Understands the concept of "centripetal force" Roller Coasters, #1008...............................................Movie Guide #3

Understands the concept "center of mass" The Pterodactyl Flies Again, #1002...........................Movie Guide #4 Flights of Imagination, #1003....................................Movie Guide #12 Voyage of the Ventana 3, 4 and 5, #2013-2015 ........Movie Guide #5 Float Designer, #4016................................................Movie Guide #2

Understands how the shape of a structure affects its rigidity Bicycle Design, #1012...............................................The Movie

Understands the concept "acceleration" Maglev Trains, #1004 ................................................Movie Guide #3

Is familiar with the "simple machines" and knows that they can reduce the amount of effort necessary to move or lift something.

An Engineer and Her Robot, #1005...........................Movie Guide #6

Optics

Understands the concept "reflection" Communication at the Speed of Light, #5003 ...........Movie Guide #4

Understands the concept "total internal reflection" Communication at the Speed of Light, #5003 ...........Movie Guide #4


Knows that a parabolic mirror will focus light to a point Solar Power Plants, #1018 .........................................Movie Guide #3 ........................................................................Movie Guide #4

Sound

Knows that sound is a vibration Concert Acoustics, #1013 ..........................................Movie Guide #1 The Bose Speaker, #1017 ..........................................The Movie The Disappearing Call of the Wild, #2001 ................Movie Guide #3

Understands the concepts of "frequency" and "amplitude" and their relation to pitch and loudness of sound

Concert Acoustics, #1013 ..........................................Movie Guide #1 The Disappearing Call of the Wild, #2001 ................Movie Guide #4

Knows that sound has different speeds in different media ........................................................................Movie Guide #1 Life Under the Ocean, #2004.....................................Movie Guide #6

Understands the relationship between frequency and wavelength of a sound wave Concert Acoustics, #1013 ..........................................Movie Guide #1 The Bose Speaker, #1017 ..........................................Movie Guide #5 The Disappearing Call of the Wild, #2001 ................Movie Guide #3

Understands the concept "resonance" Concert Acoustics, #1013 ..........................................Movie Guide #5

Understands the unit "decibel" Concert Acoustics, #1013 ..........................................Movie Guide #2 Percussion Instruments, #4002 ..................................Movie Guide #3

Astrophysics

Knows what a solar flare is. Space Weather, #3004 ...............................................The Movie

Is familiar with the 11-year sunspot cycle Space Weather, #3004 ...............................................Movie Guide #5

BIOLOGY

Ecology

Understands the role of fires in maintaining the health of a forest Forest Rangers, #2010 ...............................................The Movie


Zoology

Knows that different animals have different nutritional needs in terms of protein, fat, carbohydrates and Calories

Healing Injured Wild Animals, #2002.......................Movie Guide #6

Understands the concept "endangered species" The Disappearing Call of the Wild, #2001 ................The Movie Cheetahs, #2006.........................................................The Movie

Understands that different kinds of animals have different diets Bats, #2007 ................................................................Movie Guide #1

Understands that different kinds of animals have different habitats Bats, #2007 ................................................................The Movie

Knows the role of bats in relation to plants and insects in an ecosystem Bats, #2007 ................................................................The Movie

Knows that there is a huge variety of insect species and some of their common characteristics

Growing Bugs, #2003 ................................................The Movie ........................................................................Movie Guide #2 ........................................................................Movie Guide #9


TECHNOLOGY

APPLIED SCIENCE AND TECHNOLOGY

Engineering

Understands the general process by which a new design becomes a manufactured product (initial drawings, prototyping, testing)

Prototypes, #1014 ......................................................The Movie Designing Sunglasses, #4012.....................................The Movie

Understands the concept "prototype" Prototypes, #1014 ......................................................The Movie

Can construct a model to scale ........................................................................Movie Guide #5 Designing Toy Cars, #4013 .......................................Movie Guide #6 Float Designer, #4016................................................Movie Guide #3

Understands the concept of "safety margin" and how it impacts design and testing Roller Coasters, #1008...............................................Movie Guide #4 Geometry and Structural Engineering, #1009 ...........Movie Guide #5

Understands the function of a backup system Searching for Water on Mars, #3001.........................Movie Guide #5

Understands that the shape of an object influences its rigidity Geometry and Structural Engineering, #1009 ...........The Movie

Understands the concept of "tolerance" as applied in design and manufacture Solar Powered Cars, #1001........................................Movie Guide #4 Flights of Imagination, #1003....................................Movie Guide #3 An Engineer and Her Robot, #1005...........................Movie Guide #3

Civil Engineering

Understands some of factors are involved in planning, building and operating a large scale water supply system

Tunnel Number 3, #5002 ...........................................The Movie

Materials Science

Knows what an "alloy" is and why alloys are useful Flights of Imagination, #1003....................................Movie Guide #2


Knows how steel is produced Geometry and Structural Engineering, #1009 ...........Movie Guide #4

Knows some of the advantages of composite materials Solar Powered Cars, #1001........................................Movie Guide #5

Agriculture/Fishing

Understands the role that insects play in agriculture Growing Bugs, #2003 ................................................The Movie

Understands what "organic farming" is The Lundberg Farms, #2005......................................The Movie

Understands the major steps of producing a crop, from planning what to plant through harvesting and packaging

The Lundberg Farms, #2005......................................The Movie

Communications Technology

Understands the role of satellites in communication. Communications Satellites, #5004 ............................The Movie

Understands what fiber optic cable is and how it used in communications. Communication at the Speed of Light, #5003 ...........The Movie

Space Science

Understands what "space weather" is and how it can affect travel within the solar system Space Weather, #3004 ...............................................The Movie

Knows the factors that have to be considered in planning a human expedition to another planet

Searching for Water on Mars, #3001.........................The Movie

Can predict positions of a solar system body relative to the earth based on understanding of the orbital motion of both bodies

Searching for Water on Mars, #3001.........................Movie Guide #7

Understands the observational advantages of space-based telescopes Eyes on the Universe 1 & 2, #3005-3006 ..................Movie Guide #3 Eyes on the Universe 3 & 4, #3007-3008 ..................The Movies

Can compute the speed of light communication lag between two points in the solar system.

Communications Satellites, #5004 ............................Movie Guide #3


Robotics and Tele-Operation

Understands what an ROV (remotely operated vehicle) is and what is might be used for. Voyage of the Ventana 1 & 2, #2011-2012 ...............The Movies Voyage of the Ventana 3, 4 and 5, #2013-2015 ........The Movies Searching for Water on Mars, #3001.........................The Movie

Understands some approaches to designing and building mobile robots Searching for Water on Mars, #3001.........................The Movie

Knows that the action of a robot is determined by a computer program. An Engineer and Her Robot, #1005...........................The Movie Testing the Robotic Hand, #1006 ..............................The Movie

Electric Power Generation

Understands the concept of "efficiency" with respect to generation of power and its significance in the design of a power generation system

Solar Powered Cars, #1001........................................Movie Guide #7 ........................................................................Movie Guide #8 Electricity from the Wind, #1010 ..............................Movie Guide #2 Solar Power Plants, #1018 .........................................Movie Guide #1 Making Sparks, #1019-1021......................................Movie Guide #5 ........................................................................Movie Guide #7 Off the Grid, #1022-1024 ..........................................Movie Guide #2 ........................................................................Movie Guide #3

Knows what a solar cell is and some uses of it. Solar Powered Cars, #1001........................................The Movie Making Sparks, #1019-1021......................................The Movies Off the Grid, #1022-1024 ..........................................The Movies

Understands the flow of energy in a thermal power plant (source of heat to steam to turbine to electricity).

Solar Power Plants, #1018 .........................................The Movie

Understands the flow of energy in a kinetic power plant (kinetic energy to generator to electricity).

Electricity from the Wind, #1010 ..............................The Movie

Can describe some of the factors that influence the power output of a wind turbine Electricity from the Wind, #1010 ..............................The Movie ........................................................................Movie Guide #1 ........................................................................Movie Guide #2 ........................................................................Movie Guide #4 ........................................................................Movie Guide #5


Understands the potential of renewable energy sources to fulfill energy demand Electricity from the Wind, #1010 ..............................The Movie Solar Power Plants, #1018 .........................................The Movie Making Sparks, #1019-1021......................................The Movies Off the Grid, #1022-1024 ..........................................The Movies

Understands the energy unit "kilowatt-hour". Electricity from the Wind, #1010 ..............................Movie Guide #6 Making Sparks, #1019-1021......................................The Movies Off the Grid, #1022-1024 ..........................................The Movies

Understands various methods of solar energy collection Solar Powered Cars, #1001........................................The Movie Making Sparks, #1019-1021......................................The Movies Off the Grid, #1022-1024 ..........................................The Movies

Transportation

Is familiar with some non-traditional transportation power sources and their advantages and disadvantages

Solar Powered Cars, #1001........................................The Movie

Understands the four forces which act on a vehicle operating in powered flight and their relationships to each other and to the resultant force on the vehicle

The Pterodactyl Flies Again, #1002...........................Movie Guide #2

Knows the key elements of a mass transportation system Maglev Trains, #1004 ................................................The Movie The New York City Subway, #5005..........................The Movie ........................................................................Movie Guide #5

Understands the transportation unit "passenger-miles" Maglev Trains, #1004 ................................................Movie Guide #4

Understands the relationship of wingspan to amount of weight an airplane can lift. The Pterodactyl Flies Again, #1002...........................Movie Guide #1 Flights of Imagination, #1003....................................Movie Guide #6

Understands the concept of G-force and under what conditions a passenger might experience it.

Roller Coasters, #1008...............................................Movie Guide #3

Understands the concept "Mach number" and why it is important in aicraft design and testing

Flights of Imagination, #1003....................................Movie Guide #8


Understands the concept "glide ratio" Flights of Imagination, #1003....................................Movie Guide #11

Understands how backup systems reduce the likelihood of failure of critical safety systems in various kinds of vehicles

Flights of Imagination, #1003....................................Movie Guide #10 Roller Coasters, #1008...............................................Movie Guide #7

INFORMATION SCIENCE AND TECHNOLOGY

General

Understands the concept "pixel" Corporate Graphics, #4008 ........................................Movie Guide #4 The Tools of Graphic Design, #4015.........................Movie Guide #2

Software Applications

Understands the concept "algorithm" Models for Movies, #4005.........................................Movie Guide #4


ARTS

VISUAL ARTS

Photography

Understands the effect of varying exposure time on a photograph Sports Photography , #4003.......................................The Movie

Understands how shutter speed affects exposure Sports Photography , #4003.......................................The Movie

APPLIED ARTS

Architecture/Interior and Exterior Design

Understands the general process by which a structure is conceived, designed and constructed

The ABC's of Architecture, #4010 ............................The Movie

Crafts

Knows some of the skills involved in doll-making Designing Dolls, #4011 .............................................The Movie

Cooking

Understands some of the aspects of the work of a professional chef The Head Chef, #4014 ...............................................The Movie

ENTERTAINMENT ARTS

Radio, Television and Film and Event Production

Knows what a "set" is The Art Director, #4004.............................................The Movie

Understands the function of an "Art Director" in a production The Art Director, #4004.............................................The Movie

Understands how models are used for effects in film and television production. Models for Movies, #4005.........................................The Movie


Music

Understands something about the relationship of notes in a scale The Bose Speaker, #1017 ..........................................Movie Guide #1

Understands the concept "rhythm" Drumming in Fractions, #4001 ..................................The Movie

Understands the concept of "tempo" Drumming in Fractions, #4001 ..................................Movie Guide #1

Understands how music notation indicates timing (e.g., eighth notes, quarter notes, etc.) Drumming in Fractions, #4001 ..................................The Movie

Understands the concept of "overtone" Concert Acoustics, #1013 ..........................................Movie Guide #3 ........................................................................Movie Guide #5

Understands the categories of musical instruments (percussion, wind, string, etc.) Percussion Instruments, #4002 ..................................The Movie

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