Unit 3 Measurement Part 1

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Unit 3 Measurement Part 1

General Outcome:

• Develop spatial sense through direct and indirect measurement. • Develop algebraic reasoning.

Specific Outcomes:

3.1 Demonstrate an understanding of the Systeme International (SI) by:

• describing the relationships of the units for length, area, volume, capacity, mass, and temperature

• applying strategies to convert SI units to imperial units. 3.2 Demonstrate an understanding of the imperial system by:

• describing the relationship of the units for length, area, volume, capacity, mass, and temperature

• compare the American and British imperial units for capacity • applying strategies to convert imperial units to SI units.

3.3 Solve and verify problems that involve SI and imperial linear measurements, including decimal and fractional measurements.

3.4 Solve problems that involve SI and imperial area measurements or regular, composite, and irregular 2-D shapes and 3-D objects, including decimal and fractional measurements, and verify the solutions.

3.5 Solve problems that require the manipulation and application of formulas related to: • perimeter

• are

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Topics and Assignments

Topic Work to Complete Complete

Lesson 1: Systems of Measurement

• The Metric System (SI) (P. 3) Page 6 (36 questions) • The Imperial System (P. 11) Page 14 (29 questions)

Lesson 2: Converting Measurements Between Systems (P. 19)

Page 20 (18 questions)

Lesson 3: Perimeter

• Perimeter (P.23) Page 25 (6 questions) • Circumference (P. 27) Page 28 (7 questions)

Lesson 4: Area (P. 30) Page 33 (4 questions)

Lesson 5: Surface Area (P. 34) Page 38 (13 questions)

Lesson 6: Other Measuring Instruments

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Unit 3 Measurement Part 1

Unit 3 Lesson 1: Systems of Measurement

The Metric System (SI)

The Metric System is a system of measurement based on

multiples of 10. The base unit for length in the metric system is

the metre. To convert from one unit to another in the metric

system we multiply or divide by powers of 10 and attach the

appropriate prefix to the base unit (metre, liter, gram). A

standard set of prefixes are used in the metric system.

Prefix

Symbol

Quantity

tera

T

trillion

1 000 000 000 000

giga

G

billion

1 000 000 000

mega

M

million

1 000 000

kilo

k

thousand

1000

hecto

h

hundred

100 deca

da

ten

10 base unit

one

1

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Many of the prefixes in the given table are not used on a daily

basis, but you should be familiar with the majority of them.

You will need to know the prefixes from milli to kilo and the

relationship between them. These will not be given on a test or

quiz.

Prefix

Symbol

Quantity

kilo

k

thousand

1000

hecto

h

hundred

100 deca

da

ten

10 base unit

one

1 deci

d

one-tenth

1 10

or 0.1

centi

c

one-hundredth

1 100

or 0.01

milli

m

one-thousandth

1 1000

or 0.001

A referent is an object that can be used to approximate one unit

of a measurement.

Measurement

Referent

1 mm

Thickness of a paperclip

1 cm

Width of an adult baby finger

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To convert from one measurement to another the staircase

method works quite well.

When going up the stairs

(converting cm to m), you

divide by 10 for each step

taken

When going down the stairs

(converting km to cm), you

multiply by 10 for each

step taken.

Ex) Convert the following measurements as indicated.

a) 27 m to cm

b) 119 mm to cm

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The Metric System Assignment:

1) For each of the following, circle the most sensible measure. a) length of a small paper clip

31 mm 31 cm 31 m 31 km

b) length of a tennis racket

68 mm 68 cm 68 m 68 km

c) distance around a racetrack

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g) width of a room

8 mm 8 cm 8 m 8 km

h) distance from Vancouver to Hope

125 mm 125 cm 125 m 125 km

i) length of a bowling ally

18 mm 18 cm 18 m 18 km

j) height of a giant redwood tree

67 mm 67 cm 67 m 67 km

k) length of a safety pin

26 mm 26 cm 26 m 26 km

l) width of a desk

75 mm 75 cm 75 m 75 km

m) long-distance run

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3) Convert the following measurements as indicated.

a) 30 dam = _______________ m b) 67 dm = _______________ cm

c) 456 m = _______________ dam d) 920 mm = _______________ dm

e) 7800 hm = _______________ km f) 11 km = _______________ dm

4) The diameter of a loonie is about 26.5 mm. What is this measurement in centimetres?

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6) Nora needs 35 tiles for a floor. She finds a stack of tiles that is 0.5 m high. If each tile is 1.2 cm thick, are there enough tiles in the stack for her project?

7) William wants to put Christmas lights along the peak and edges of his roof. a) How many metres of lights will

he need?