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

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

Distance Between Planets:

• https://www.youtube.com/watch?v=97Ob0xR0Ut8

• Can you name the planets in order from the sun?

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

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

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

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 11 4 136in = 11ft 4in 12 12

(b) C = 12(1.89$)C = 22.68$

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 MillimeterCentimeterMeterDecimeterKilometer

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

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 = 1/2bhA = l x w

Calculate the surface area of the entire pyramid

Surface Area of a Rectangular Pyramid

Formulas:A = l x wA 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:L x w x hlwh

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