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

Types of quadrilaterals
Properties
Four 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=/q uadrilaterals.html&qs=621_622_623_624_763_764_2128_2129_323
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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 parallelogram
What 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 length
The kilogram for mass
The 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? 42
6m = _____ cm?
600
7000m = ____km? 7
5kg = _____g?
5000
9.1g = ____mg?
9100
112 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 Gallons
Mass: Ounces, Pounds and Tons
Length: Inches, Feet, Yards and Miles
Temperature: 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-customaryunits

Perimeter
Distance around a twodimensional 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 cm
Width= ?

Area
Size of the surface
Different shapes have different Area formulas
Area = w x h
W= width
H= height
5 x 3 = 15

• http://www.mathopolis.com/questions/q.php?id=774&site=1&ref=/g eometry/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 = base h = 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-rectangularprisms

Resources www.mathisfun.com

Links
• Quadrilaterals http://www.mathopolis.com/questions/q.php?id=621&site=1&ref=/qu adrilaterals.html&qs=621_622_623_624_763_764_2128_2129_3230_3
231
• Conversions http://www.ixl.com/math/grade-5/compare-and-convert-metric-units http://www.ixl.com/math/grade-4/compare-and-convert-customaryunits

• Perimeter http://www.mathopolis.com/questions/q.php?id=625&site=1&ref=/ge ometry/perimeter.html&qs=625_626_757_3225_758_759_760_3224_
3226_3227
• Area http://www.mathopolis.com/questions/q.php?id=774&site=1&ref=/ge ometry/area.html&qs=774_3245_775_776_2161_2162_3246_3247_3
248_3249
• Volume http://www.ixl.com/math/grade-5/volume-of-cubes-and-rectangularprisms