unit 1 measurement

UNIT 1 MEASUREMENT

Group members: Boya Bill Frank Laura

Get into your groups!!(ELS groups in Miss.Murphy ’s class)

Review Unit 1 ： MEASUREMENTHave a groups competition Checking answers

AGENDA

Body is a “natural ruler” Can you gave us some examples.(for example your hands is about 18cm)

Do you have any examples around you.(for example the thickness of iPhone is 1cm)

BRAIN STORM

Imperial unit

Abbreviation referent RelationshipBetween Unit

Inch in. Thumb length

Foot ft. Foot length

1ft. =12 in.

Yard yd. Arm span 1yd.=3ft.1yd.=36in.

Mile mi. Distance walked in 20 min

1mi.=1760yd.1mi.=5280ft.

IMPERIAL UNIT

SI VS. IMPERIAL

SI Units to Imperial Units

Imperial Units to SI Units

1mm=4/100in. 1in.=2.5cm

1cm=4/10 1ft=30cm1ft=0.3m

1m=39in.1m=3*1/4ft.

1yd=90cm1yd=0.9m

1km=6/10mi. 1mi.=1.6km

Convert 3 feet into meters If we put a 1-meter ruler next

to a 1-foot ruler, they would look like this:

If you then looked more closely, you would see that the 1-foot ruler came to exactly 0.3048 on the meter ruler:

EXAMPLE 1

So, the conversion for feet to meters is: 1 ft = 0.3048 meters

To convert feet to meters, multiply by 0.3048 Let me show you why this works: to find what 3

feet would be in meters, we could put three 1 foot rulers next to each other like this:

EXAMPLE 1

So, you can see that 3 feet = 3 × 0.3048 meters = 0.9144 meters

So, 3 ft. = 0.9144 m

EXAMPLE 1

• Let have a competition!!• QUESTION(on text book page 22)• 25mm to the nearest inch• 2.5m to the nearest foot• 10m to the nearest yard • 150km to the nearest mile

EXERCISE

Area is the two-dimensional (2-D) size of a surface. Consider the area that your notebook is covering on the surface of your desk

Surface area (SA) of a solid is the total area of the exposed surfaces of a three-dimensional (3-D) object.

SURFACE AREAS

Right Pyramid

Atriangle = 1/2bs

Abase = b2

SA = 2bs + b2

SURFACE AREA FORMULAS

RectangularSA = 2(hl + lw + hw)

SURFACE AREA FORMULAS

SURFACE AREA FORMULAS

SURFACE AREA FORMULAS

VOLUME FORMULAS

Pyramid Volume = (B ×

h)/3

B is the area of the baseh is the height

ConeVolume = (pi × r2 ×

h)/3

pi = 3.14r is the radiush is the height 

VOLUME FORMULAS

SphereVolume = (4 × pi ×

r3)/3 

pi = 3.14r is the radius

VOLUME FORMULAS

RectangularVolume = l × w ×

h 

l is the lengthw is the widthh is the height

VOLUME FORMULAS

Cylinder

Volume = π × r2 × h

pi = 3.14h is the heightr is the radius

VOLUME FORMULAS

Determine the surface area of the composite object at the right to the nearest square meter.

PROBLEM SOLUTION

A

B

C

D

8*8+AB*AB=10*10AB=6m

CB=AB-2m=4mCD*CD=4*4+5*5

CD=6.4m

S composite object = 3*6.4+2*3+3*10+3*(5+8)+5*4*1/2*2+8*6*1/2*

2=19.2+6+30+39+20+48

=162.2 square meter

ANSWER

Determine the volume of the

composite object at the right to

the nearest cubic meter.

ABOUT VOLUME

A

B

C

D

ANSWER

8*8+AB*AB=10*10AB=6m

CB=AB-2m=4mCD*CD=4*4+5*5

CD=6.4mV composite object = 6*8*3*1/2+4*5*3*1/2

=72+30=102 cubic meter

Have a group competition