unit 1: measurement 1.1 imperial measures of length 1.3 relating si and imperial units 1.4 surface...
DESCRIPTION
Distance Between Planets: https://www.youtube.c om/watch?v=97Ob0xR0 Ut8 https://www.youtube.c om/watch?v=97Ob0xR0 Ut8 Can you name the planets in order from the sun?TRANSCRIPT
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Unit 1: Measurement
• 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
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What Units would you use to measure the following?
• 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
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Distance Between Planets:
• https://www.youtube.com/watch?v=97Ob0xR0Ut8
• Can you name the planets in order from the sun?
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Fun Facts
• 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
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1.1 Imperial Measures of LengthImperial Unit Abbreviation Referent Relationship
Inch In Thumb
Foot Ft Foot 1 ft = 12 in
Yard Yd Arm Span 1yd = 3 ft1 yd = 36 inches
Mile Mi Distance walked in 20 minute
1 mi = 1760 yd1 mile = 5280 ft
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Convert the Following:
1. Convert 5 yd to feet and inchesAnswer: 15 ft and 180 in2. Convert 51 inches into Feet and InchesAnswer: 4 ft and 3 in51 4 312 12
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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 $1.89/ft how much will it cost
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Solution:
(a) 136 ft 11 4 136in = 11ft 4in 12 12
(b) C = 12(1.89$)C = 22.68$
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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
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SI Unit Review:
micrometer MillimeterCentimeterMeterDecimeterKilometer
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Convert the following SI Units• 3 millimeters to micrometers3000 um• 3 centimeters to micrometers10 mm in 1 cm/30 mm in 3 cm /30(1000) = 30000um• 3 kilometers to meters3000 meters• 3 kilometers to centimeters3km = 3000m = (3000m)(100) = 300,000 cm• 3 meters to kilometers0.003 km• 3 centimeters to kilometers0.00003km
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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
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Section 1.4 Surface Area of Pyramids and Cones
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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
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Type #1: Regular Tetrahedron
• A triangular pyramid with 4 congruent equilateral triangular sides
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Type #2: Right Square Pyramid
• The base is a square and the triangle sides are all congruent
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Type #3: Right Pentagonal Pyramid
• The base has 5 sides and the triangles are all congruent
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Surface Area of a Regular Tetrahedron
Formula:Area = ½(base)(height)A = 1/2bh
Calculate the SA of the ENTIRE pyramid
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Surface Area of a Square Pyramid
Formula: A = 1/2bhA = l x w
Calculate the surface area of the entire pyramid
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Surface Area of a Rectangular Pyramid
Formulas:A = l x wA 1/2bh
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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
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Volume of Pyramids and Cones
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Review: Volume of Cubes, Prisms, and Cylinder
Formula for a Cube:L x w x hlwh
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Volume of a Prism
Formula:1/2lwh
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Volume of a Cylinder
Formula:V =¶r2h
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Volume of a Pyramid
Formula:1/3lwh (not the slant
height)
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Volume of a Cone:
Formula:V=1/3¶r2h
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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