# Measurement - PowerPoint PPT Presentation

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Measurement. Chapter 8. Outcomes. 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

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Measurement

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## Measurement

Chapter 8

### Outcomes

• 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 Conversions

• 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).

### Metric Prefixes

• 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.

### Metric Staircase

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

### Example:

• 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

### What is perimeter?

• Perimeter is the sum of the lengths of all the sides of a polygon.

• It is the total length around an object.

### Example…

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

### What is area?

• 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

### You try these…(find area and perimeter)

• Rectangle with sides 3cm and 7cm

• Square with sides 5m

• Rectangle with sides 4m and 3m

### What about triangles???

• Can you use the same formulas for a triangle?

### Area of a triangle

• Area of a triangle is

A = ½ b x h

8cm

4cm

Area = ½ (4cm)(8cm) = 16cm2