Unit 1: Measurement
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1.1 Imperial Measures of Length
1.3 Relating SI and Imperial Units
1.4 Surface Area of Pyramids and Cones
1.5 Volume of Pyramids and Cones
1.6 Surface area and volume of a sphere
1.7 Solving Problems Involving Objects
What Units would you use to measure
the following?
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A cell in your body
An ant
Cell Phone
Desk
Person
Distance from here to Dubai
Distance from Earth to Mars
Distance from the Earth to the Sun
Distance from here to the closest star in our
galaxy
Distance Between Planets:
• https://www.youtube.c
om/watch?v=97Ob0xR0
Ut8
• Can you name the
planets in order from
the sun?
Fun Facts
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The Sun is 152,000,000 Km from Earth
152,000,000 = 1 Astronomical Unit (AU)
1 light year equals 63,000 AU
How many Kilometers are in one light year?
9576000000000Km
Distance to our closest star is 4.3 light years
Travelling at 40,000 Km per hour it would take
100,000 years to get there
1.1 Imperial Measures of Length
Imperial Unit
Abbreviation
Referent
Relationship
Inch
In
Thumb
Foot
Ft
Foot
1 ft = 12 in
Yard
Yd
Arm Span
1yd = 3 ft
1 yd = 36
inches
Mile
Mi
Distance
walked in 20
minute
1 mi = 1760 yd
1 mile = 5280 ft
Convert the Following:
1. Convert 5 yd to feet and inches
Answer: 15 ft and 180 in
2. Convert 51 inches into Feet and Inches
Answer: 4 ft and 3 in
51 4 3
12
12
Example 1
• Anne is framing a picture and the perimeter of
the framed picture is 136 in.
(a) What will the perimeter be in feet and
inches?
(b) The framing material costs $1.89/ft how
much will it cost
Solution:
(a) 136 ft
12
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(b) C = 12(1.89$)
C = 22.68$
11 4
12
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136in = 11ft 4in
Homework:
1. On a piece of PAPER look up the definitions
for the vocab found on page 2
2. Complete Exercises: Pg. 11 #6-10, 15, 16, 19,
21
3. Check your answers on page 462
SI Unit Review:
micrometer
Millimeter
Centimeter
Meter
Decimeter
Kilometer
Convert the following SI Units
• 3 millimeters to micrometers
3000 um
• 3 centimeters to micrometers
10 mm in 1 cm/30 mm in 3 cm /30(1000) = 30000um
• 3 kilometers to meters
3000 meters
• 3 kilometers to centimeters
3km = 3000m = (3000m)(100) = 300,000 cm
• 3 meters to kilometers
0.003 km
• 3 centimeters to kilometers
0.00003km
Section 1.3 Assignment:
1. Page 16: Construct Understanding complete
with a partner or on your own refer to tables on
page 17 and 18 You must each have your own
copy
2. With your partner read through the examples on
page 18 – 21 and then complete the following
questions: Pg 22-23 # 4,5, 8, 10, 12, 15, 17.
Check your answers at the back of the book
3. There will be a short quiz tomorrow
Section 1.4 Surface Area of Pyramids
and Cones
A Right Pyramid:
• A 3D object that has
triangular faces and a
base that is a polygon.
The shape of the base
determines the name of
the pyramid. The top of
the pyramid is called
the APEX
Type #1: Regular Tetrahedron
• A triangular pyramid
with 4 congruent
equilateral triangular
sides
Type #2: Right Square Pyramid
• The base is a square
and the triangle sides
are all congruent
Type #3: Right Pentagonal Pyramid
• The base has 5 sides
and the triangles are all
congruent
Surface Area of a Regular Tetrahedron
Formula:
Area = ½(base)(height)
A = 1/2bh
Calculate the SA of the
ENTIRE pyramid
Surface Area of a Square Pyramid
Formula:
A = 1/2bh
A=lxw
Calculate the surface area
of the entire pyramid
Surface Area of a Rectangular Pyramid
Formulas:
A=lxw
A 1/2bh
Assignment:
• Page 34: #’s 4, 5, 9, 10, 13, 18
• Create your own notes on how to find the
surface area of a cone. Use your textbook or
the internet. Come up with notes, a formula,
and an example. I may call on you to teach
the class tomorrow
Volume of Pyramids and Cones
Review: Volume of Cubes, Prisms, and
Cylinder
Formula for a Cube:
Lxwxh
lwh
Volume of a Prism
Formula:
1/2lwh
Volume of a Cylinder
Formula:
V =¶r2h
Volume of a Pyramid
Formula:
1/3lwh (not the slant
height)
Volume of a Cone:
Formula:
V=1/3¶r2h
Assignment
• Pg42-44 #’s 4, 6, 8, 9, 13, 18, 22
• Correct your answers
• Quiz on Tuesday on Surface area AND volume
of Pyramids and Cones
• Project assignment