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Measurement

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Measurement

Chapter 8

- D1: solve indirect measurement problems, using proportions
- D2: solve measurement problems, using appropriate SI units
- D3: estimate areas of circles
- D4: develop and use the formula for the area of a circle
- D5: describe patterns and generalize the relationships between areas and perimeters of quadrilaterals and areas and circumferences of circles
- D6: calculate the areas of composite figures
- D7: estimate and calculate surface areas and volumes of right prisms and cylinders
- D8: measure and calculate surface areas and volumes of composite 3-D shapes

- Metric units are very nice to work with, since they are all multiples of ten of each other.
- The basic units are meters (for length), grams (for mass or weight), and liters (for volume).

- We use the following prefixes to describe the units we are dealing with:
- kilo-, hecto-, deka-, deci-, centi-, and milli-.
- To convert between the various prefixes, just move up and down this list of prefixes, moving the decimal point as you go.

kilo .001

hecto .01decimal point moves to the right

deka .1

Basic Unit (m, l, g) 1

deci 10

centi 100

decimal point moves to the leftmilli 1000

- Since each step is ten times or one-tenth as much as the step on either side, we have:
- 1 kilometer = 10 hectometers

- 2.5 km = ? m
- 100cm = ? km
- 5m = ? mm

- Perimeter is the sum of the lengths of all the sides of a polygon.
- It is the total length around an object.

Find the perimeter of the rectangle with side lengths of 4m and 2m.

2m

4 m

The perimeter would be 2m + 4m + 2m + 4m = 12m

- Area is the number of square units needed to cover a surface.
2m

4m

The area of this rectangle can be found by using the equation A = l x w

Therefore A = 4m x 2m

= 8m2

- Rectangle with sides 3cm and 7cm
- Square with sides 5m
- Rectangle with sides 4m and 3m

- Can you use the same formulas for a triangle?

- Area of a triangle is
A = ½ b x h

8cm

4cm

Area = ½ (4cm)(8cm) = 16cm2