Imperial Length Measurements

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1 Unit I Measuring Length 1 Section 2.1 Imperial Length Measurements Goals Reading Fractions Reading Halves on a Measuring Tape Reading Quarters on a Measuring Tape Reading Eights on a Measuring Tape Reading Tape Measurements (I) Reading Fractions Answer: Answer:

2 Unit I Measuring Length 2 (II) Reading Halves on a Measuring Tape

3 Unit I Measuring Length 3 (III) Reading Quarters on a Measuring Tape Answer: Answer: Answer:

4 Unit I Measuring Length 4

5 Unit I Measuring Length 5 (IV) Reading Eights on a Measuring Tape Answer: Answer: Answer:

6 Unit I Measuring Length 6

7 Unit I Measuring Length 7 (V) Reading Tape Lengths Ans: Ans: Ans: Ans:

8 Unit I Measuring Length 8 Practice Problems: State the imperial length for each diagram below

9 Unit I Measuring Length 9

10 Unit I Measuring Length 10 Ans: Ans: Ans: Ans: Ans:

11 Unit I Measuring Length 11 Use the tape below to determine the indicated length. Note: The smallest measurement (in Red) is in the position. Ans: Ans: Ans:

12 Unit I Measuring Length 12 Practice Problems: State the imperial length for each diagram below

13 Unit I Measuring Length 13 P.62 P.63 #5 and #6

14 Unit I Measuring Length 14 Reading Imperial Tape Measurements State the indicated tape lengths. (I) Quarter Measurements 1. Tape measurement = 2. Tape Measurement = (II) Eighth Measurements 3. Tape measurement =

15 Unit I Measuring Length Tape Measurement = 5. Tape Measurement = 6. Tape Measurement =

16 Unit I Measuring Length 16 (III) Sixteenth Measurements 7. Tape Measurement = 8. Tape Measurement = 9. Tape Measurement =

17 Unit I Measuring Length 17 (IV) Mixture of Measurements 10. Tape Measurement = 11. Tape Measurement = 12. Tape Measurement = 13. Tape Measurement =

18 Unit I Measuring Length 18 Reading Imperial Tape Measurements 1. Tape measurement = 2. Tape Measurement = 3. Tape measurement =

19 Unit I Measuring Length Tape Measurement = 5. Tape Measurement = 6. Tape Measurement = 7. Tape Measurement =

20 Unit I Measuring Length Tape Measurement = 9. Tape Measurement = 10. Tape Measurement = 11. Tape Measurement =

21 Unit I Measuring Length 21 Estimating Length Using References Goals Review Reading Imperial Tape Measurement What is a Referent? Using References to Estimate Length in Imperial Measurements Review Reading an actual imperial measurement 1. Ans: 2. Ans: 3. Ans:

22 Unit I Measuring Length 22 Using referents for imperial units Unit Inch (in.) Foot (ft.) Yard (yd.) Mile (mi.) Referent Thumb Length Foot Length Arm span Distance walked in 20 minutes Note: The distance between the tip of the thumb to the knuckle is approximately 1 inch. This is called a referent measurement. The thumb length, foot length, and arm span are referents. Each referent is an approximate measure for an imperial unit.

23 Unit I Measuring Length 23 Classroom Activity Using References to Approximate Length Example 1 Estimating Lengths Using Imperial Units Describe how you would estimate the width (across) your desk. Solution The most appropriate imperial unit is the inch. Use the width of your hand as a referent. It is about 4 in. across. Line up one hand with one edge of the desk. Count how many times you place your hands, one next to the other, to go from one edge of the desk to the other. Multiply the number of hands by 4, to get the approximate width of the desk in inches. Item Referent Estimated Measurement Actual Measurement Desk Width of hand 4 Use a tape to determine the actual measurement. Using Referents to Estimate Length (i) (ii) Get in groups (3 to 4) where you will have items to measure using the referent measurement indicated to determine an estimated length. Use the measuring device (ruler or tape) to determine the actual length of that item.

24 Unit I Measuring Length 24 Item 1 Length of Pencil Determine how many thumb lengths to measure from one end of the pencil to the other to attain an estimated measure then use the ruler or tape to determine the actual measure. Item Referent Estimated Measurement Actual Measurement Pencil Thumb (Tip to first joint) 1 Item 2 Length of course textbook Determine how many hand widths to measure from one end of the cover to the other end of the cover along the longest edge. Then use the ruler or tape to determine the actual measure. Item Referent Estimated Measurement Actual Measurement Textbook Width of hand 4

25 Unit I Measuring Length 25 Item 3 Length of a floor tile Use the length of your foot to determine the length of one floor tile to attain an estimated measure then use the ruler or tape to determine the actual measure. Item Referent Estimated Measurement Actual Measurement Floor Tile Foot (Back of heel to toe) 1 foot Item 4 Width of the classroom Hold a piece of string from your nose to the longest finger of an outstretched arm. Have your partner cut the string to this length. Use this string to estimate then record the width of the classroom, in arm spans to calculate the estimated measurement. Then use the tape to determine the actual measure. Item Referent Estimated Measurement Actual Measurement Width of Classroom Arm span 3 ft. QUESTION: Why is it necessary to have standardized measurements for length instead of using referents as a means to measuring?

26 Unit I Measuring Length 26 Converting Imperial Units Goals Converting Inches to Feet Converting Feet to Inches Adding Feet and Inches Converting Miles to Yards (I) Converting Inches to Feet 1 ft. = 12 in.

27 Unit I Measuring Length 27 (II) Converting Feet to Inches 1 ft. = 12 in. (III) Adding Feet and Inches

28 Unit I Measuring Length 28 (IV) Converting Miles to Yards 1 mi. = 1760 yds P #3, #4, #6, #7

29 Unit I Measuring Length 29 Practice Sheet for Imperial Measurement 1. Express each of the following in feet and inches: (a) (b) (c) (d) (2 7 ) x 3 (e)

30 Unit I Measuring Length 30

31 Unit I Measuring Length 31

32 Unit I Measuring Length 32 Reading SI (Metric) Measurements Goals Reading Metric Measurement Determining length in SI units Converting between SI units for length SI units Abbreviation Relationship between units millimeter mm centimetre cm 1 cm = 10 mm metre m 1 m = 100 cm kilometre km 1 km = 1000 m (I) Reading Metric Measurement Remember: On each ruler (or tape) 1 cm = 10 mm

33 Unit I Measuring Length 33 (II) Determining Length in SI Units Ex. State the length of each line in millimeters and centimeters. (a) mm cm (b) mm cm (c) mm cm

34 Unit I Measuring Length 34 (III) Converting Between SI Units for Length Example: Determine the width of the door in the indicated SI unit. Item Width of Door SI Measurement (mm) SI Measurement (cm) SI Measurement (m) 1. Your desk Determine the measurement of each item in the indicated SI unit. Item Width of Desk SI Measurement (mm) SI Measurement (cm) SI Measurement (m) 2. Your Height Item Height SI Measurement (mm) SI Measurement (cm) SI Measurement (m)

35 Unit I Measuring Length Width of the classroom Item SI Measurement Width of Room (mm) SI Measurement (cm) SI Measurement (m) 4. Height of the Classroom Door Item Height of Door SI Measurement (mm) SI Measurement (cm) SI Measurement (m) 5. Width of the Textbook Item Width of Textbook SI Measurement (mm) SI Measurement (cm) SI Measurement (m) 6. Inside Width of One Window Pane Item Window Pane SI Measurement (mm) SI Measurement (cm) SI Measurement (m)

36 Unit I Measuring Length 36 Relating SI and Imperial Units Goals Reading SI units Converting SI units to Imperial units (I) Reading SI (metric) units The smallest metric measurement on the ruler below is the. How many divisions make up 1 cm? Answer: Examples: For each ruler determine the length of the line based on the unit indicated. (a) mm cm (b) mm cm

37 Unit I Measuring Length 37 When we use metric measurements for determining length it is based on increments of 10 SI units Abbreviation Relationship between units millimeter mm centimetre cm 1 cm = 10 mm metre m 1 m = 100 cm kilometre km 1 km = 1000 m (II) Comparing Imperial Units to SI Units & SI Units to Imperial Units Example: (i) Determine the height of the door in the indicated SI unit. (ii) Use the conversion table to determine the measurement in imperial units. (iii) Measure the object in imperial units. Item Height of Door SI Measurement (m) Converted Imperial Measurement (nearest ft.) Recorded Imperial Measurement (ft & in.) 1 in = 25.4 mm 1 in = 2.54 cm 1 ft = m 1 yd = m 1 mi = km

38 Unit I Measuring Length 38 Comparing SI Units to Imperial Units (i) (ii) (iii) Determine the measurement of the identified item in SI units. Use the conversion table to determine the measurement in imperial units. Measure the item in imperial units. Item Width of Smartboard Length of Room SI Measurement (m) Converted Imperial Measurement (nearest ft.) Recorded Imperial Measurement (ft. & in.) Comparing Imperial Units to SI Units (i) (ii) (iii) Determine the measurement of the identified item in Imperial units. Use the conversion table to determine the measurement in SI units. Measure the item in SI units. Item Your Height Imperial Measurement (ft. & in.) Converted SI Measurement (m) Recorded SI Measurement (m) 1 in = 25.4 mm 1 in = 2.54 cm 1 ft = m 1 yd = m 1 mi = km

39 Unit I Measuring Length 39 Converting SI and Imperial Measurement Goals Converting SI measurement to Imperial measurement Converting Imperial measurement to SI measurement (I) Converting SI Measurement to Imperial Measurement Ex. Convert to the imperial measurement indicated. (a) 42 cm to inches 1 in = 25.4 mm 1 in = 2.54 cm (b) 50 km/h to mph 1 ft = m 1 yd = m (c) 100 m to yards 1 mi = km (d) 6 km to miles

40 Unit I Measuring Length 40 (II) Converting Imperial Measurement to SI Measurement Ex. Convert to the SI measurement indicated. (a) 18 inches to cm 1 in = 25.4 mm 1 in = 2.54 cm 1 ft = m (b) 45 mph to km/h 1 yd = m 1 mi = km (c) 20 yd. to meters (d) 202 miles to km

41 Unit I Measuring Length 41 P.90 #1d, f #2c, e #4d, e #5 #6a #7 #8a, b

42 Unit I Measuring Length 42 Practice Sheet: Converting SI and Imperial Measurement 1. Convert each length to centimetres. Round to the nearest tenth. a) 9 inches b) 11 inches 1 in = 25.4 mm 1 in = 2.54 cm 2. Convert each SI length to the closest inch. a) 5 cm b) 35 cm 1 ft = m 1 yd = m 4. Convert each to the nearest centimetre. 1 mi = km a) 5 feet b) 7 feet 5. Convert each SI distance to miles. Round each answer to the nearest 0.1 of a unit. a) 5 km b) 15 km

43 Unit I Measuring Length Convert each imperial distance to SI units. Round each answer to the nearest tenth of a unit. a) 5 mi b) 300 mi 7. A conservation officer is measuring the length of young salmon, or fry. 1 in = 25.4 mm 1 in = 2.54 cm 1 ft = m 1 yd = m 1 mi = km The average length is 2.54 in. What is this length in centimetres? 8. Brian s driver s licence lists his height as 181 cm. How tall is Brian in feet and inches? 9. Melissa is making blinds for her windows. In order to raise the blinds, she needs 80 yards of string. How many metres of string are needed?

44 Unit I Measuring Length 44 Section 2.4 Working With Length Goals Solving problems that involve length, perimeter or circumference of a circle Applications of Measured Length (I) Perimeter When carpenters are building homes (as in the floor plan below) they have to install trim such as baseboard within each room. How do they determine how much baseboard to order before installing? ANSWER:

45 Unit I Measuring Length 45 Example: Calculate the perimeter of each rectangle. 10 cm (a) (b) length = 7 in. and width = 4 cm (II) Shipping Packages by Courier A courier sometimes has to measure packages to determine shipping charges. Review: Some shapes are circular and the distance around a circle is known as the Formula is C = or C = Example: Determine the circumference for each circle to the nearest hundredth of a unit. (a) (b) 76 cm 18 in.

46 Unit I Measuring Length 46 Example: To ship with Canada Post the length + girth (distance around an object) must be less than 3 m. Example: Determine the length + girth measurement for each package below. (a) (b) 5 cm 91 cm

47 Unit I Measuring Length 47 P.98 P.99 #1, #2a, b #6 #7 #8 #9 #10

48 Unit I Measuring Length 48 Section 2.4 continued Goals Working With Length Application problems that involve length and midpoint (I) Application of Midpoint A midpoint is a number half way between 2 numbers. Example: Determine the number that represents the midpoint between (a) 0 and 10 (b) 1 and 8 Example: Determine the midpoint distance (or half) of the given measurements: (a) 28 (b) (c)

49 Unit I Measuring Length 49 Example: Hanging Pictures You purchase a picture that will be hung in the center of a wall that is 1200 inches wide. There are 2 hooks on the back of the picture that are 24 inches apart. (a) Where is the midpoint of the wall? (b) How far to the left and right of the midpoint will you have to insert nails into the wall? Example: Landscaping You are going to build a semicircular flowerbed that will have a diameter of 9 feet along the front foundation from the corner of the house to the main entrance which measures 15 feet. (a) Determine the midpoint of the foundation. (b) How far from the corner of the foundation will the flowerbed start?

50 Unit I Measuring Length 50 P #1c, d, e #7, #8 a #9 a, b P. 104 #1, #2, #3

51 Unit I Measuring Length 51

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