Deck 17: Developing and Extending Measurement Concepts

Question 1

Capacity is measured in terms of:

A)lengths.
B)liquid measures.
C)weight.
D)volume.

Answer 1

liquid measures.

Question 2

Area is best taught conceptually by:

A)placing squares along the sides of a polygon.
B)placing circles inside a polygon.
C)placing rectangular units insides a polygon.
D)placing squares inside a polygon.

Answer 2

placing squares inside a polygon.

Question 3

In direct measurement, applying a unit of measure one or more times is referred to as:

A)transitivity.
B)quantitative measurement.
C)iteration
D)repetition.

Answer 3

iteration

Question 4

Common benchmarks that help children convert from metric to English measurement include all of the following except for :

A)A meter is a little longer than a yard.
B)A liter is a little more than a quart.
C)An inch is a little less than 2 centimeters.
D)A kilogram is a little more than 2 pounds.

Question 5

Measurement is associated with all of the following terms except for :

A)qualitative.
B)discrete.
C)continuous.
D)discriminating.

Question 6

Learning time measurement includes all of the following concepts except for :

A)concepts of duration or elapsed time.
B)learning to tell time.
C)sequences of events.
D)beginning and ending of events.

Question 7

The metric system has several advantages over the English system. Which of the following is not an advantage?

A)It is similar to the base-10 system of numeration.
B)Only a few units of measure are commonly used.
C)A uniform set of prefixes applies to units of measure in each area of measurement.
D)It is difficult for elementary students to learn.

Question 8

If children measure their classroom door with a string and then use the length of the string to measure the door of the building to determine which is wider, they are using the concept of:

A)transitivity.
B)commutativity.
C)distributive property.
D)inequality.

Question 9

The following statements are true except for :

A)Millimeters are more precise than grams.
B)The measurement of a ball bearing is exactly 0.001 cm.
C)Measuring with a ruler is more accurate than measuring with paper clips.
D)Measuring a distance on a highway with a yardstick would be subject to substantial error.

Question 10

Volume is measured in terms of:

A)lengths.
B)weight.
C)liquid measures.
D)capacity.

Question 11

The concept of measurement involves which two types of data?

A)continuous and qualitative
B)discrete and quantitative
C)discrete and continuous
D)discrete and qualitative

Question 12

The principle of compensation states that:

A)fewer units must be used when measuring with smaller objects.
B)the smaller a measurement unit is, the more of that unit will be required to measure an object.
C)the same unit must be used when using standard measuring devices.
D)different units must be used when using standard measuring devices.

Question 13

The formula for volume that is the basis for all other volumes of three-dimensional figures is:

A)
B)
C)
D)

Question 14

Which of the following is a correct sequence for introducing measurement?

A)developing mental models for common measures, using nonstandard units, looking for patterns that lead to formulas
B)building understanding of the characteristic being measured, using standard units, engaging in projects and activities that require measurement skills
C)using nonstandard units, using standard units, building understanding of the characteristic being measured
D)using standard units, using nonstandard units, engaging in projects and activities that require measurement skills

Question 15

Research concerning measurement has found that:

A)it is transitivity of measurement that allows students to make comparisons based on unit iterations.
B)few second graders can use transitivity with length measurements.
C)length iteration develops after volume iteration.
D)time iteration develops before length and volume iteration.

Question 16

If students are working at a learning station that involves determining which object is heavier, they are focusing on the concept of ____________ measurement.

A)continuous
B)discrete
C)quantitative
D)qualitative

Question 17

Perimeter is best taught conceptually by:

A)placing squares along the sides of a polygon.
B)adding up the numbers placed on the sides of a polygon.
C)laying toothpicks on the sides of a polygon.
D)placing cubes along the sides of a polygon.

Question 18

The best way to teach children about areas of polygons is to give them:

A)the list of formulas and encourage them to substitute in the values for the variables.
B)diagrams of polygons with number values assigned to the sides, then have them use the formulas to substitute values in for the sides.
C)a calculator to use in conjunction with the formulas .
D)graph paper and have them rearrange parts of polygons to develop the formulas.

Question 19

The preferable way to teach students to measure with a ruler is to begin by using a ruler:

A)with quarter inch, eighth inch and sixteenth inch markings.
B)with whole inch number markings.
C)with whole inch markings but without numbers.
D)with one-half inch, quarter inch, eighth inch markings.

Question 20

The higher the mass to volume ratio is:

A)the greater the density of the substance is.
B)the less the density of the substance is.
C)the greater the mass of the substance is.
D)the greater the weight of the substance is.

Question 21

The advantage of an analogue clock over a digital clock is that:

A)analog clock faces are easier to read.
B)analog clock faces are easier to determine elapsed time on.
C)analog clock faces are more common.
D)analog clock faces are more visually appealing.

Question 22

Teacher Licensing Examination Questions
The inside of a rectangular picture frame measures 36 inches long and 24 inches wide. The width of the frame is x inches, as shown in the figure below.

When hung, the frame and its contents cover 1,120 square inches of wall space. What is the length, y , of the frame in inches?

A)34 inches
B)38 inches
C)40 inches
D)44 inches

Question 23

TIMSS: Which of these could be the mass of an adult?

A)1 kg
B)6 kg
C)60 kg
D)600 kg

Question 24

Choose two meanings of measurement and explain how they are important in the teaching of measurement.

Question 25

Which set of months all have only 30 days?

A)May, June, September, November
B)March, June, October, November
C)April, September, November, December
D)April, June, September, November

Question 26

The diameter of a circle is 12 feet. What is the area of the circle?

A)144 π ft²
B)36 π ft²
C)24 π ft²
D)12 π ft²

Question 27

What are some ways that children can be taught about angle measures before they are able to understand degree measurement?

Question 28

3 yd³ = ___ ft³.

A)9
B)27
C)81
D)729

Question 29

Explain why the progression from nonstandard units to standard units to using a measuring device is the acceptable procedure for teaching measurement.

Question 30

2 ft² = ___ in².

A)24
B)288
C)576

Question 31

What are some of the advantages of the metric system versus the English system? Why do you think that the United States has resisted converting completely to the metric system?

Question 32

Converting between customary and metric units:

A)is essential for students to understand measurement.
B)is a critical skill for upper elementary grades students.
C)helps students master both measurement systems.
D)is best left more to benchmarks and less to conversion formulas.

Question 33

Explain the difference between precision and accuracy when using measurements.

Question 34

Which of these Centigrade temperatures would make for a pleasant day?

A)15ºC
B)25ºC
C)35ºC
D)45ºC

Question 35

The area of a trapezoid with base lengths 8 feet and 12 feet and a height of 4 feet is:

A)40 ft².
B)80 ft².
C)20 ft².
D)192 ft².

Question 36

NAEP: At a picnic, cider is served in cups. If 1 pint will fill 2 cups, how many cups can be filled from 8 pints of cider?

A)4 cups
B)8 cups
C)11 cups
D)16 cups

Question 37

If the edge lengths of a cube are all doubled, how does the volume of the cube change?

A)Volume is doubled.
B)Volume is increased by a factor of 4.
C)Volume is increased by a factor of 8.
D)Volume is increased by a factor of 16.

Question 38

Which of the following is not dependent on a physical representation?

A)area
B)distance
C)time
D)weight

Question 39

Explain the differences between transitivity and iteration with respect to measurement.

Question 40

What is the role of personal benchmarks when learning about measurement?

Question 41

Santiago lives in Sydney, Australia. His friend Carter currently lives in Berlin, Germany. Santiago and Carter often communicate with each other through Skype. To find a suitable time to chat, Mark looked up a chart of world times and found the following:

Santiago and Carter are not able to chat between 9:00 am and 4:30 pm their local time as they have classes. Also, from 11:00 pm till 7:00 am their local time, they won't be able to chat because they will be sleeping.
When would be a good time for Santiago and Carter to chat? Write the local times in the table

Question 42

What inherent difficulties do children in the elementary mathematics curriculum face when working with money? How could you help children with these difficulties?

Question 43

Children sometimes think that to convert from square feet to square inches, they need to multiply by 12, since there are 12 inches in a foot. How could you help children see that this is incorrect?

Question 44

What are some of the difficulties that children encounter when learning to tell time on an analog clock? How could you help children with these difficulties?