# 4.8 - Measurement

The student will

a)  estimate and measure length and describe the result in U.S. Customary and metric units;

b)  estimate and measure weight/mass and describe the result in U.S. Customary and metric units;

c)  given the equivalent measure of one unit, identify equivalent measures of length, weight/mass, and liquid volume between units within the U.S. Customary system; and

d)  solve practical problems that involve length, weight/mass, and liquid volume in U.S. Customary units.

### BIG IDEAS

• Liquid measurements are used everyday when you are cooking.

• So that if I need to double a recipe and cook enough for everyone I will know how to do it.

### UNDERSTANDING THE STANDARD

• The measurement of an object must include the unit of measure along with the number of iterations.
• Length is the distance between two points along a line.
• U.S. Customary units for measurement of length include inches, feet, yards, and miles. Appropriate measuring devices include rulers, yardsticks, and tape measures.
• Metric units for measurement of length include millimeters, centimeters, meters, and kilometers. Appropriate measuring devices include centimeter rulers, meter sticks, and tape measures.
• When measuring with U.S. Customary units, students should be able to measure to the nearest part of an inch (1/2, 1/4, 1/8 ), foot, or yard.
• Weight and mass are different.  Mass is the amount of matter in an object.  Weightis determined by the pull of gravity on the mass of an object.  The mass of an object remains the same regardless of its location.  The weight of an object changes depending on the gravitational pull at its location. In everyday life, most people are actually interested in determining an object’s mass, although they use the term weight (e.g., “How much does it weigh?” versus “What is its mass?”).
• Balances are appropriate measuring devices to measure weight in U.S. Customary units (ounces, pounds) and mass in metric units (grams, kilograms).
• Practical experience measuring the weight/mass of familiar objects (e.g., foods, pencils, book bags, shoes) helps to establish benchmarks and facilitates the student’s ability to estimate weight/mass.
• Students should measure the liquid volume of everyday objects in U.S. Customary units, including cups, pints, quarts, gallons, and record the volume including the appropriate unit of measure (e.g., 24 gallons).
• Students at this level will be given the equivalent measure of one unit when asked to determine equivalencies between units in the U.S. Customary system.
• the number of quarts in five gallons;
• the number of gallons equal to 20 quarts;
• When empty, Tim’s 10-gallon container can hold how many quarts?; or
• Maria has 20 quarts of lemonade.  How many empty one-gallon containers will she be able to fill?

### ESSENTIALS

The student will use problem solving, mathematical communication, mathematical reasoning, connections, and representations to

• Determine an appropriate unit of measure (inch, foot, yard, mile, millimeter, centimeter, and meter) to use when measuring length in both U.S. Customary and metric units. (a)
• Estimate and measure length in U.S. Customary and metric units, measuring to the nearest part of an inch (, , ), and to the nearest foot, yard, millimeter, centimeter, or meter, and record the length including the unit of measure (e.g., 24 inches). (a)
• Compare estimates of the length with the actual measurement of the length. (a)
• Determine an appropriate unit of measure (ounce, pound, gram, and kilogram) to use when measuring the weight/mass of everyday objects in both U.S. Customary and metric units. (b)
• Estimate and measure the weight/mass of objects in both U.S. Customary and metric units (ounce, pound, gram, or kilogram) to the nearest appropriate measure, using a variety of measuring instruments. (b)
• Record the weight/mass of an object with the unit of measure (e.g., 24 grams). (b)
• Given the equivalent measure of one unit, identify equivalent measures between units within the U.S. Customary system for:
• length (inches and feet, feet and yards, inches and yards); yards and miles;
• weight/mass (ounces and pounds); and
• liquid volume (cups, pints, quarts, and gallons). (c)
• Solve practical problems that involve length, weight/mass, and liquid volume in U.S. Customary units. (d)

### KEY VOCABULARY

Updated: May 29, 2019