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Math Unit 6

 

Study Guide

Unit 6: Length

 

Chapter 1- Examples of test questions:

  • Be able to estimate and measure lengths to the nearest meter and centimeter.  Students need to have an idea of the length of their arms, hands, or feet, or width of their palms or fingers to help them estimate length in other objects.  For example, if the width of a finger is 1 cm, they can estimate the number of fingers-wide an object is.  This helps them to estimate its width in centimeters.
    • Fill in blanks with ‘m’ or ‘cm’.
      • The low bookshelf is about 1 ___ high.
      • A door is about 4 __ high.
      • A notebook is about 1 ___ thick.
    • What would you measure with each: meter stick or ruler?
      • door
      • length of pencil
  • 1 m = 100 cm
    • Write 6 m in centimeters.
    • Write 200 cm in meters.
    • Write 1200 cm in meters.
    • 3 m 73 cm is ____ cm more than 3 m.
    • 3 m 73 cm = ____ cm
    • 9 m 3 cm = ____ cm
    • 762 cm = ____ m ____ cm
    • 8412 cm = ____m ____ cm
  • Add subtract in compound units by converting the meters into centimeters then adding or subtracting with the formal algorithm.
    • Add 3 m 73 cm to 762 cm.  Give your answer in meters and centimeters.
    • Subtract 38 cm from 5 m.  Give your answer in centimeters.
    •  
  • Arrange the following in order.  (Be able to start with the shortest and longest)
    • 7 m 5 cm,  832 cm,  4 m  56 cm,  8 m
    • Add the longest and shortest measurements.  Give your answer in meters and centimeters.
  • Word Problems
    • Sally cut a long jump rope in two.  The two ropes measured 5 m 4 cm and 3 m 42 cm.  What was the length of the original plank?
    • The red jump rope is 5 m long.  It is 221 cm longer than that blue jump rope.  How long is the blue jump rope?  Give your answer in centimeters.
    • The pink ribbon is 3 m 4 cm long.  The orange ribbon is 298 cm long.  Which is longer?
      • How much longer?

 

Chapter 2- Examples of test questions:

  • The kilometer is the standard unit of measurement in the metric system for longer distances.  1 kilometer = 1000 meters.
  • In the U.S. standard system, miles are used to measure longer distances.  A mile is longer than a kilometer.  1 mile equals 1.6093 km, 6 miles is about 10 km, and 60 miles is about 100 km.  For example, if the post office is a little over a mile away, it is about 2 km away.  A town about 60 miles away is about 100 km away.
  • Fill in the blank with km, m, or cm.
    • The length of the book is about 120 ___.
    • The distance between Disneyland Resort in California and Los Angeles is about 42 ___.
    • The distance from the classroom door to the teacher’s desk is about 9 ___.
  • Which of these is the kilometer used to measure?
    • The length of the whiteboard.
    • The height of a person.
    • The distance between cities.
    • The height of a building.
  • Write 5 km 720 m in meters.
  • Write 72 km 65 m in meters.
  • Write 1970 m in kilometers and meters.
  • Find the sum of 5 km 720 m and 742 m.
  • Find the value of 5 km – 720 m.
  • Subtract 5 km 720 m from 72 km 65 m.
  • Word Problems:
    • Mrs. Tokkesdal walked a 200-m track 8 times.  How far did she walk?  Give your answer in meters.
    • Kelly’s house and the mall are 5 km 720 m apart.  The school is 3 km 140 m further than the super market.  How far is the supermarket from her home?
    • Frank lives 7 km 53 m from the mall.  Ed lives 762 m from the same mall.  Who lives farther away?
      • How much farther?
  • How far did Eric travel if he traveled from Point A, to Point B, to Point C, and then back to Point A?  Give your answer in kilometers and meters.
    • Point A to Point B = 4 km 32 m
    • Point B to Point C = 2 km 78 m
    • Point C to Point A = 7 km 200 m

 

Chapter 3- Examples of test questions:

  • Information to know:
    • 1 inch = 2.54 cm (approximately two and a half centimeters)
    • 1 foot = 30.48 cm (approximately 30 centimeters)
    • 1 yard = 0.9144 m (approximately 1 meter)
    • 1 meter = 1.0936 yards (approximately 1 yard which is approximately 40 inches)
  • When adding and subtracting compound units:
    • 1 yard is renamed as 3 feet
    • 1 foot is renamed as 12 inches
  • Fill in the blanks with yd, ft, or in.
    • The length of the whiteboard could be 8 ____ 4 ___.
  • Would you use yards, feet or inches to measure the length of:
    • A pencil
    • Your desk
    • The length of the classroom floor
    • The field for recess
  • The curtain is 2 yds 4 ft long.
    • 2 yds 4 ft is ____ ft more than 2 yds.
    • 2 yds 4 ft is ___ ft.
  • 5 yds = ___ ft
  • 3 yds 9 ft = ___ ft
  • 56 ft = ___ yd ___ ft
  • 632 ft = ___ yd ___ ft
  • 5 ft = ____ in.
  • 4 ft 8 in. = ___ in.
  • 6 ft. 6 in. = ___ in.
  • Which is longer?
    • 6 ft 7 in. or 62 in.?
    • 78 ft or 7 yd 4 ft?
  • Subtract 5 ft from 8 yd 9 ft.
  • Add 5 in. to 8 ft. 3 in.
  • Word Problems:
    • A stool is 18 in. high.  The stool and the child standing on it is 7 ft.  What is the height of the child?
    • Alice has two ribbons measuring 4 ft and 2 ft 8 in.  How much longer is the longer ribbon?
    • Albert has a racetrack that is 9 ft 4 in. long.  He removes 2 ft 9 in. of the track.  Then he removes some more.  Now, he has 3 in of track left.  What length of the track did Albert remove the second time?
    • Andy bought 4 yd 3 ft of black cloth and 5 yd 7 ft of gray cloth.  A yard of cloth cost $3.  How much did he pay for the cloth?

 

Chapter 4- Examples of test questions:

  • In the U.S., distances are measured in miles rather than in kilometers.  A mile is longer than a kilometer; 1 mile equals 1.6093 miles.
  • 1 mile = 5280 feet = _____ yards
  • Sally walks 4 miles to the school and the same distance back each day.  What is the total distance she walks each day?
  • What is the distance between Towns B and C?  What is the distance between Towns A and C?
    • Town A to Town B = 58 miles
    • The distance between Town B and C is 21 miles less than the distance between Town A and B.
  • Eric traveled from Town B to Town D By going through Town C.  What was the distance he traveled?
    • Town A to Town B = 54 miles
    • Town B to Town C = 34 miles
    • Town C to Town D = 71 miles
  • There will be a map of various towns connected in various ways.  The millage is written for each connection.
    • Find the shortest/longest route from Town B to Town E.  Find the exact length of the shortest/longest route.
    • Use the map to find the length of various routes.
      • Town B to Town C to Town D: _____ mi
      • Town D to Town C to Town E: _____ mi
      • Which route is the longest?
  • Andy rides the same distance every day.  He rides a total distance of 93 mi in 4 days.  How far does he travel each day?
  • Brenna runs 4 mi every day.  Her dad runs 1 mi more every day.  What is the total distance her dad runs in a week?
  • There is a line with three dots.  The left dot is labeled J.  The middle dot A.  The right dot N.  The distance between A and N is 42 mi.  The distance between J and A is twice that.  What is the distance between J and N?
  • Alaya flew 31 mi.  Mark flew 5 times that distance.  Preston-Nicolas flew 4 miles less than Mark.  How far did Preston-Nicolas fly?

 

Unit 6 Cumulative Test:

  • Review all of Units 1 - 6
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