Review!
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