Mathematics
Grade 6
15 min
Holds more or less
Holds more or less
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1
Introduction & Learning Objectives
Learning Objectives
Identify and compare the capacities of different containers.
Convert between common units of capacity (e.g., milliliters, liters, cups, quarts, gallons).
Determine which container 'holds more' or 'holds less' based on given measurements.
Solve word problems involving comparing and calculating 'more' or 'less' capacity.
Apply understanding of capacity to real-world scenarios.
Use appropriate mathematical language to describe comparisons of quantities.
Ever wondered which bottle holds more juice, a small carton or a large jug? 🥛 Let's find out how to compare the amounts different containers can hold!
In this lesson, you'll learn how to compare the amounts different containers can hold, often called capacit...
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Key Concepts & Vocabulary
TermDefinitionExample
CapacityThe maximum amount that a container can hold, typically referring to liquids or granular substances.A water bottle has a capacity of 500 milliliters (mL).
VolumeThe amount of space a substance occupies or is contained within a three-dimensional object. In the context of liquids, it's often used interchangeably with capacity.The volume of water in the glass is 250 mL.
Metric Units of CapacityStandard units for measuring capacity in the metric system, such as milliliters (mL) and liters (L).1 Liter (L) is equal to 1000 Milliliters (mL).
Customary Units of CapacityStandard units for measuring capacity in the customary system, such as cups (c), pints (pt), quarts (qt), and gallons (gal).1 Gallon (gal) is equal to 4 Quarts (qt).
ComparisonThe process of exami...
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Core Formulas
Rule for Comparing Quantities with the Same Unit
To compare two quantities expressed in the same unit, simply compare their numerical values. The quantity with the larger numerical value 'holds more,' and the quantity with the smaller numerical value 'holds less.'
This rule applies when both items being compared are already in the same measurement unit (e.g., both in liters, or both in milliliters). No conversion is needed.
Rule for Comparing Quantities with Different Units (Unit Conversion)
To compare two quantities expressed in different units, first convert one or both quantities so they share a common unit. Then, apply the rule for comparing quantities with the same unit.
Common Conversions:
Metric: $1 \text{ L} = 1000 \text{ mL}$
Customary: $1 \text{...
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Challenging
A tank has a capacity of 20 gallons. It is 25% full. How many more quarts of water are needed to fill the tank completely? (1 gallon = 4 quarts)
A.15 quarts
B.60 quarts
C.20 quarts
D.80 quarts
Challenging
The capacity of a jug, in milliliters, can be described by the expression 4(x - 50), where x is the capacity of a bottle in mL. If the bottle holds 0.8 L, which container holds more and by how much?
A.The jug holds more by 2200 mL.
B.The bottle holds more by 200 mL.
C.The jug holds more by 3000 mL.
D.They hold the same amount.
Challenging
Which holds more: one-half of a 3-gallon container or three-fourths of a 14-quart container?
A.One-half of the 3-gallon container holds more.
B.They both hold the same amount.
C.Three-fourths of the 14-quart container holds more.
D.It is impossible to compare them.
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