Math 10-3 Measurement Unit.notebook · Math 103 Measurement Unit.notebook 1 March 03, 2015 Converting Area Measurements We already know how to convert between units of linear measurement

Math 103 Measurement Unit.notebook

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March 03, 2015

Converting Area MeasurementsWe already know how to convert between units of linear measurement.

Ex.

‐ To convert between units of area, we have to remember that area is

equal to__________________________________________, or length

X width. This means we have to convert BOTH the length AND the

WIDTH.

‐ This is easier than you might think: all you do is multiply or divide by

the conversion factor______________________! Once for the length

and once for the width.

Ex: 100cm2 = ____________________m2

1) Find how to convert between cm and m on your conversion chart.

2) To convert the area, we divide by 100 two times

Ex: How many square feet are there in a square yard?

1) We know that ___________________ make a yard, so the length

conversion is to multiply by 3

2) To find the area, we must multiply 3 two times

(or_______________)

3)

4) WE can see this in the following diagram (count the square feet):

Ex) Convert 30 square feet to square meters.

1) Converting between SI and imperial area units is the same process

as the above examples.

2) First, find the conversion factor you need.

3) So we must multiply 30ft2 by 0.3048 twice:

Remember, you need to check if your answer makes sense!

Think: “Will my answer be more or less”?

‐ If the unit you are converting to is smaller than the unit you are

given, your answer will be _______________________ than the

number you start with.

Ex: Convert 5 square metres into square feet

1) Will the answer be more or less than 5?

2) The conversion is 1 ft =

3) Try both dividing and multiplying 5 by the conversion factor:


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March 03, 2015

Whiteboard Practice:

Convert 50m2 to cm2

Convert 23yd2 to m2

Remember to check if your answer makes sense!


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March 03, 2015

Math 103: Feb 24th

Outline for the day:

1. Area word problems practice2. Review/catch up (QUIZ TOMORROW!)


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Area Word Problems

Ms. Kierstead wants to lay grass on her acreage property. If her property is 250 m by 300 m how much land needs to be covered? Draw a picture.

Shelley is trying to decide whether to put hardwood flooring or carpet on her living room floor. The dimensions of the room are 22 ft by 16 ft. The hardwood flooring costs $18.99 / m2 with an installation cost of $1500.00. The carpet costs $21.95 / yd2 with an installation cost of $1350.00. Which type of flooring costs less?


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You try:

Irina purchased a farm in Saskatchewan. She wants to plant balsam fir seedlings, and she estimated the field measures 72 yards by 65 yards. The tree nursery manager told her that each seedling requires an area of 64 ft2 to grow properly. How many seedlings can Irina plant on her acre of land?


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March 03, 2015

Math 103: Day 15


1. Lesson on circumference and area of circles 2. Circles practice and assignment


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March 03, 2015

5 cm2 =

0.007 m2


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March 03, 2015

Circumference and Area of a Circle‐ All the points on a circle are equidistant (the samedistance) from the_______________________________________of thecircle.‐ A line that passes through the center of a circle andtouches the edge of the circle on both sides is called the___________________________________.

‐ A line that starts at the center of the circle and touches anoutside edge is called the_________________________________________.

ACTIVITY: Using the string, a ruler and the circular shapes


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March 03, 2015

Circle

Circumference Use a licorice

whip to

measure

Diameter (d)– use a ruler to

measure

Compare:C/d

123


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March 03, 2015

How can we calculate radius, diameter, and circumference?‐ The radius can be calculated by dividing the diameter by 2

‐ The diameter can be calculated by multiplying the radiusby 2 ‐ The ________________________________________ of acircle is the perimeter of the circle. It can be calculatedwith the formula : Where C = circumference (perimeter)

= “pi” a constant that is 3.14….d = diameter

Ex) What is the circumference of a circle with a diameter of 8cm?

Ex2. What is the circumference of a circle with a radius of 2.5mm?

How can we calculate the area of a circle?

‐ Use the formula A=πr2‐ This means we need to know the radius

Ex) What is the area of the following circle:

Ex) What is the area of the following circle:


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March 03, 2015

Practice:

1) What is the circumference of a circle with a radius of 2cm?

2) What is the area of the circle with a radius of 2cm?


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March 03, 2015

Journals:

One thing I need to practice before the quiz tomorrow is...

One thing I need help with is...


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March 03, 2015

Math 103: Day 16


1. Review for quiz: any last questions?2. Perimeter and area quiz3. Surface area of prisms


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March 03, 2015


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March 03, 2015

Math 103: Day 17


1. Review surface area of prisms2. Lesson on surface area of cylinders and cones and practice3. Surface area assignment


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March 03, 2015

Surface Area

Surface area is the total area of all the sides in a 3D object added together.

One of the easiest ways to get a simplified formula for surface area is to look at the net of the shape.

Rectangular Prism

‐ We need to find the area of each side (a total of 6 sides), and then add them all up

Ex) Find the surface area of the following rectangular prism.

Triangular Prism‐ Find the area of the triangular ends. Remember, the formula for the area of a triangle is ‐ Then find the area of the 3 rectangular sides‐ Add all the sides together

Ex) Find the surface area for the following triangular prism.


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March 03, 2015

Practice: Find the surface area of the following triangular prism

6ft

2ft

h= 1.6ft


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March 03, 2015

Whiteboard Review: find the surface area of the rectangular prism

7cm

2cm

1cm


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March 03, 2015

Surface Area of Cylinders and Cones

Cylinder: We need to find the area of the top, bottom, and sides.

1) The top and bottom are circles, so the formula for the area of both together is:

2) The side is a rectangle that is wrapped around. The base of the rectangle is the circumference of the circles and the height is the height of the cylinder. This means that the area of the side is:

3) To find the total surface area of the cylinder, add the area of the top and bottom to the area of the side.


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March 03, 2015

Ex) Find the surface area of the following cylinder

30cm

Diameter = 10cm


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March 03, 2015


Radius =3cmHeight= 5cm


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Cones

‐ Find the area of the circle at the bottom of the cone:

‐ Find the area of the top. The formula is:

‐ Add the two areas together to find the total area


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March 03, 2015

Radius = 3cm

6cm

Ex) Find the surface area for the following cone.


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Radius =3cmS= 5cm


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Complete the Surface Area Assignment


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March 03, 2015

Math 103: Day 18


1. Quick surface area review 2. Aluminum foil prank?


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March 03, 2015

Question: Can we cover everything in this room in aluminum foil for under $50?

Group 1: desks, chairs, floor

Group 2: my desk, computer, chair

Group 3: cabinets, filing cabinet, fridge

Group 4: tables, bins, bulletin boards


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March 03, 2015

Documents

Math 10-3 Measurement Unit.notebook · Math 103 Measurement Unit.notebook 1 March 03, 2015 Converting Area Measurements We already know how to convert between units of linear measurement