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Unit 1 measurement. Group members: Boya Bill Frank Laura. agenda. Get into your groups !!(ELS groups in Miss.Murphy ’s class) Review Unit 1 : MEASUREMENT Have a groups competition Checking answers. - PowerPoint PPT Presentation
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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