Math 10C: Metric and Imperial

1 IntroductionIntroduction to Measurementa) Complete the following table:UnitMultiplying FactorReferentmmcmdmmdamhmkmb) Indicate which measuring tool is most appropriate for:i) the width of your textbook _____ii) the perimeter of a park _____iii) the circumference of a vase _____iv) the diameter of a diamond ring with precision _____ v) the distance from your house to a friend s house _____vi) the thickness of a smartphone with precision _____ vii) the width of a kitchen window _____UnitLength (in metres)ReferentmmcmdmmdamhmkmTape Measure30 cm rulerVernier CalipersTrundle WheelAvailable ONE - Metric and ImperialLesson ONE - Metric and ImperialLesson Notesc) Complete the following table:inch(in. or )UnitImperial ConversionsReferentfoot(ft. or )yard(yd.

2 Mile(mi.) Metric Conversionsd) What are some of the drawbacks to using Imperial units as a form of measurement?e) Why is it important to understand both Imperial units and Metric units?012 Example 1 Measure each of the following using an appropriate measuring ) The circumference of a ) The length of a curved ) The actual distance between Grande Prairie and Medicine Hat. Grande PrairieMedicine HatMap Scale: 1:18,300,000 MeasurementLESSON ONE - Metric and ImperialLesson 2a)b)c)d)Write each Metric caliper measurement as a 3 Metric Conversionsa) Convert 7 m to ) Convert 12 cm to metres. c) Convert cm to ) Convert 3 km to ) Convert 8 m to centimetres. f) Convert km to ONE - Metric and ImperialLesson Notes012 Example 4 Each of the following objects have been measured with inappropriate units.

3 Convert them to more suitable units. a) The thickness of a dime is mb) The height of a basketball player is 2100 mmc) The driving distance from Pincher Creek to Taber is 14 900 000 cm Example 5A trundle wheel can be used to measure the walking distance between two ) If the diameter of a trundle wheel is 45 cm, how far will a person have walked when the wheel makes one full rotation? b) If a person walks for km, how many times has the wheel rotated?MeasurementLESSON ONE - Metric and ImperialLesson 6 Write the length of each line segment using Imperial )01234b)01234c)01234d)01234e)01234 MeasurementLESSON ONE - Metric and ImperialLesson 7 MeasurementLESSON ONE - Metric and ImperialLesson Notes012 Some of these conversions have an error.

4 If there is an error, explain thenature of the error and complete the conversion correctly. a)23 cm 100 cm1 mConvert 23 cm to :b)5 m 1000 mm5 mConvert 5 m to :error:correct conversion:error:correct conversion:c)7 yd. 1760 7 yd. to :error:correct conversion:d)31 ft. 12 31 ft. to :error:correct ) Convert 5 yards to ) Convert 10 miles to ) Convert 20 feet to ) Convert 5 7 to inches. e) Convert 4 yards to ) Convert 2 miles to 8 Imperial Conversions large unit small unitMeasurementLESSON ONE - Metric and ImperialLesson ) Convert 78 feet to ) Convert 110 yards to ) Convert 48 inches to ) Convert 58 to ) Convert 90 feet to ) Convert 12000 feet to 9 Imperial Conversionssmall unit large unitMeasurementLESSON ONE - Metric and ImperialLesson ONE - Metric and ImperialLesson Notes012a) Convert 6 yards to ) Convert 3 miles to ) Convert 80 inches to ) Convert feet to metres.

5 E) Convert 5 3 to ) Convert miles to metres. Example 10 Imperial to Metric Conversions ONE - Metric and ImperialLesson Notes012a) Convert 14 metres to ) Convert 7 kilometres to ) Convert 12 metres to ) Convert 2 kilometres to yards. e) Convert 72 centimetres to ) Convert 400 metres to miles. Example 11 Metric to Imperial Conversions ONE - Metric and ImperialLesson Notes012 Example 12 Find the missing side of each right triangle using the Pythagorean Theorem 15 m8 m60 61 119 cm169 cm5 )b)c)d) ONE - Metric and ImperialLesson Notes012 Example 13a) Five students measure their height using different units. Andrew is 176 cm, Brittney is 5 4 , Calvin is yards, Don is 54 inches, and Elisha is metres. Arrange the students fromshortest to ) A truck driver is entering a parkade that says the maximum height of a vehicle is 8 6.

6 If the height of the truck is 3 m, should the driver proceed into the parkade? ONE - Metric and ImperialLesson Notes012 Example 14a) A homeowner is laying sod in her lawn. The lawn is a rectangle with dimensions of 28 18 .If one piece of sod is a rectangle with dimensions of 60 cm 40 cm, approximately how many pieces of sod should the homeowner order?b) A homeowner wants to replace the linoleum in their kitchen. The floor plan for the kitchen isshown below. If linoleum costs $ ft, what is the total cost of the linoleum? The counterand kitchen island do not require m2 m8 m5 m