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Quadrilaterals

Quadrilateral just means "four sides" (quad means four, lateral means side).Any four-sided shape is a Quadrilateral

Types of quadrilaterals

PropertiesFour sides (edges)Four vertices (corners)The interior angles add up to 360 degrees:

• http://www.mathopolis.com/questions/q.php?id=621&site=1&ref=/quadrilaterals.html&qs=621_622_623_624_763_764_2128_2129_3230_3231

Find missing angles in quadrilaterals and triangles

Triangles = 180 degrees Quadrilaterals = 360 degrees

72 + 35 = 107

180 – 107 = 73 degrees

ABCD is a quadrilateral.What is the size of angle D?

83 + 107 + 115 = 305

360 – 305 = 55 degrees

ABCD is a parallelogramWhat is the size of angle A?

51 + 51 = 102

360 – 102 = 258

258 = 129 degrees 2

Metric System

• A form of measurement!

The meter for lengthThe kilogram for massThe second for time

Length

(100cm = 1m)

(1cm = 10mm)

(1000mm = 1m)

(1000m = 1 km)

Weight

(1000g = 1kg)

(1000mg = 1g)

(1 stone = 14 pounds)

Volume

(1000ml = 1 Liter)

4.2 cm = _____ mm? 426m = _____ cm? 6007000m = ____km? 7

5kg = _____g? 50009.1g = ____mg? 9100112 IB = ____stone? 8

4.5 L = ____ ml? 4500

Standard System

Units of measurement commonly used in the USA, including:

Liquids: Fluid ounces, Cups, Pints, Quarts and GallonsMass: Ounces, Pounds and TonsLength: Inches, Feet, Yards and MilesTemperature: Fahrenheit.

Also called "United States Customary Units"

12 inches (in) 1 foot (ft) 3 feet (ft) 1 yard (yd) 36 inches (in) 1 yard (yd) 1,760 yards (yds) 1 mile (mi) 5,280 feet (ft) 1 mile (mi) 16 ounces (oz) 1 pound (lb) 2,000 pounds (lbs) 1 ton (T) 8 fliud ounces (oz) 1 cup (C) 2 cups (C) 1 pint (pt) 2 pints (pts) 1 quart (qt) 4 quarts (qts) 1 gallon (gal)

2 feet = _____ inches? 24

2 gallons = ______ quarts? 8

4 tonnes = ______ pounds? 8,000

3 pints = _____ cups? 6

15,840 feet = _____ miles? 3

• http://www.ixl.com/math/grade-5/compare-and-convert-metric-units

• http://www.ixl.com/math/grade-4/compare-and-convert-customary-units

Perimeter

Distance around a two-dimensional shape

3 + 7 + 3 + 7 = 20

3 + 3 + 3 + 3 + 3 = 15 A + b + c + d

The diagram shows a rectangle and a square.

If they have equal perimeters, what is the length of one side of the square?

What is the perimeter of rectangle ABCD?

• Length=10 m, perimeter= 24 m Width= ?

• Length=8 m, perimeter= 30 m Width= ?

• Length=9.5 cm, perimeter= 36 cmWidth= ?

Area

Size of the surface

Different shapes have different Area formulas

Area = w x h

W= widthH= height

5 x 3 = 15

• http://www.mathopolis.com/questions/q.php?id=774&site=1&ref=/geometry/area.html&qs=774_3245_775_776_2161_2162_3246_3247_3248_3249

What is the area of this rectangle?

Area of a triangle

b = baseh = vertical height

Area = ½ b x h

Area = (1/2) x 5 x 6 = 15 inches2

Volume

Volume = Length × Width × Height

Units of volume include:

Metric: cubic centimeters (cm3), cubic meters (m3), liters

Imperial: fluid ounce, cubic inch, cubic foot, pints, gallons, bushels

Volume = Length x Width x Height

Volume = 4 x 5 x 10 = 200 units^3

• http://www.ixl.com/math/grade-5/volume-of-cubes-and-rectangular-prisms

Resources

www.mathisfun.com

Links

• Quadrilaterals http://www.mathopolis.com/questions/q.php?id=621&site=1&ref=/quadrilaterals.html&qs=621_622_623_624_763_764_2128_2129_3230_3231• Conversionshttp://www.ixl.com/math/grade-5/compare-and-convert-metric-units

http://www.ixl.com/math/grade-4/compare-and-convert-customary-units

• Perimeterhttp://www.mathopolis.com/questions/q.php?id=625&site=1&ref=/geometry/perimeter.html&qs=625_626_757_3225_758_759_760_3224_3226_3227

• Areahttp://www.mathopolis.com/questions/q.php?id=774&site=1&ref=/geometry/area.html&qs=774_3245_775_776_2161_2162_3246_3247_3248_3249

• Volumehttp://www.ixl.com/math/grade-5/volume-of-cubes-and-rectangular-prisms