Notes Package
Measurement
Measurement
  • referenta familiar or measurement that is used to an unknown measure
Unit Conversions
Common Imperial / Imperial and Metric / Metric
Length / 1 mile = 1760 yards
1 mile = 5280 feet
1 yard = 3 feet
1 yard = 36 inches
1 foot =12 inches / 1 mile  1.609 km
1 yard 0.9144 m
1 foot  0.3048 m
1 inch  2.54 cm
1 cm  0.39 in.
1 m  39.4 in.
1 m  3.28 ft
1 m  1.09 yd.
1 km  0.622 mi / 1 km =1000 m
1m =100 cm
1 cm =10 mm
Mass
(Weight) / 1 ton = 2000 pounds
1 pound =16 ounces / 1 pound  0.454 kg
1 ounce  28.35 g / 1 t =1000 kg
1 kg =1000 g
Capacity
(Volume) / 1 cup = 8 ounces
1 pint = 16 ounces
1 quart = 32 ounces
1 gallon = 4 quarts
1 gallon = 128 oz / 1 oz (CDN)  28.4 mL
1 oz (USA)  29.6 mL
1 gal (CDN)  4.54 L
1 gal (USA)  3.79 L
1 L  0.22 gal (CDN) / 1 L = 1000 mL
Common
Abbreviations / mile = mi
yard = yd
ton = ton
feet = ' or ft
inch = " or in
pound = lb
ounce = oz / kilometre =km
metre =m
centimetre =cm
millimetre =mm
tonne (metric ton) =t
gram = g
Unit Conversions
  • proportional reasoning quantities that are related

1187 ft

  • unit analysisconverting measures in units by using a

218 cm

  • units can be converted from or from

Scale Images
  • when it is impossible to draw an object to its actual size – whether it is or -- we use a

  • scale:a of the length of the to the length of the object.

are used

drawing : actual

map : Earth

  • scale factor:represents the object is to create the image (drawing / photograph / etc.)

scale factor =

Calculating Scale

drawing : actual

map : Earth

  • scale:1. units are shown

any (different units) must first be converted to a (same units)

2.terms are reduced to terms

3.only are shown (no decimals or fractions)

  • reductions:show a scale as:1 : n
  • enlargements:show a scale as:n : 1

On a map of Idaho, ” equals 30 miles. Determine the map’s scale:

in : 30 mi

Solving Scale Problems

Step 1:write down the

Step 2:write down the

Step 3: the units

Step 4:complete the

  • It is 40 km from Port Coquitlam to UBC. How far apart are they (in cm) on a map with a scale of 1 : 400 000?
  • On a map of Seattle with a scale of 1 : 39 600, it is 27infrom the University of Washington to SeaTac Airport. How far is this in mi?

Three-Dimensional Objects
Prism / Pyramid
Bases
Lateral Faces
Cylinder / Sphere / Cone
Surface Area and Volume of Polyhedra
  • surface areathe of the areas of the of the of a three-dimensional object
  • volumethe amount of filled by an object

Calculating Surface Area

1.calculate the area of the

2.calculate the area of the

  1. add the areas together

Volume of Prisms

1.Find the area of the .

2.Multiply by its .

CAUTION:the of the prism is not always its

Volume of Pyramids and Cones

  • all pyramids and cones have the general formula:

V = (area of base)(height)

Spheres
  • A sphere has bases and lateral faces.

Surface Area / Volume
Problems Involving Composite Objects
  • composite objectan object consisting of distinct (recognizable) objects
  • these may be or they may be of a distinct


Other Stuff to Know
Imperial Ruler
Vernier Calipers