# 3.6 Measuring Length, Time, Liquid Volume, and Weight

## Unit Goals

• Students generate and represent length measurement data in halves and fourths of an inch on line plots. They learn about and estimate relative units of measure including weight, liquid volume, and time, and use the four operations to solve problems involving measurement.

### Section A Goals

• Measure lengths using rulers marked with halves and fourths of an inch to generate data for making a line plot.

### Section B Goals

• Measure and estimate weights and liquid volumes of objects.

### Section C Goals

• Solve problems involving addition and subtraction of time intervals in minutes.
• Tell time to the minute.

### Section D Goals

• Solve problems involving the four operations and measurement contexts.

### Glossary Entries

• algorithm
A set of steps that works every time as long as the steps are carried out correctly.

• area

The number of square units that cover a flat figure without gaps or overlaps.

• array

An arrangement of objects in rows and columns. Each column must contain the same number of objects as the other columns, and each row must have the same number of objects as the other rows.

• bar graph
A way to show how many in each group or category using the length of rectangles.

• denominator
The bottom part of a fraction that tells how many equal parts the whole was partitioned into.

• division
Finding the number of groups or finding the size of each group when we share into groups of equal size.

• divisor
The number we are dividing by which can represent the size of the groups or the number of groups.

• equation

A statement that includes an equal sign (=). It tells us that what is on one side of the sign is equal to what is on the other side.

• equivalent fractions
Fractions that have the same size and describe the same point on the number line. For example, $$\frac{1}{2}$$ and $$\frac{2}{4}$$ are equivalent fractions.

• expanded form

A specific way of writing a number as a sum of hundreds, tens, and ones.

Expanded form writes a number as a sum of the value of each digit. Example: 482 written in expanded form is $$400 + 80 + 2$$ .

• expression

An expression has at least 2 numbers and at least one math operation (such as addition, subtraction, multiplication and division).

• factor
When we multiply two whole numbers to get a product, each of those numbers is a factor of the product.

• fraction
A number used to describe the parts of a whole that has been partitioned into equal parts.

• gram

A weight unit that is part of the metric measurement system.

There are 1,000 grams in a kilogram.

• key
The part of a picture graph that tells what each picture represents.

• kilogram

A weight unit that is part of the metric measurement system.

There are 1,000 grams in a kilogram.

• liquid volume
The amount of space that a liquid takes up.

• liter
A liquid volume unit that is part of the metric measurement system.

• mixed number
A number expressed as a whole number and a fraction less than 1.

• multiplication
The operation that tells you the total number of objects when you have a certain number of equal groups.

• numerator

The top part of a fraction that tells how many of the equal parts are being described.

• parentheses
Grouping symbols that can be used in expressions or equations, such as: $$(3 \times 5) + (2 \times 5), (24 \div 2) + 5 = 17$$.

• picture graph
A way to show how many in each group or category using pictures of the objects or symbols.

• product
The result of multiplying some numbers.

• quotient
The result in a division equation.

• rounding

A formal way to say which number a given number is closer to. For example, for 182, the number 180 is the closest multiple of ten and 200 is the closest multiple of a hundred. We can round 182 to 180 (if rounding to the nearest ten) or 200 (if rounding to the nearest hundred).

• scaled bar graph
A bar graph marked in multiples of some number other than 1.

• scaled picture graph
A picture graph where each picture represents an amount other than 1.

• square centimeter

A square with side lengths of 1 centimeter.

• square foot

A square with side lengths of 1 foot.

• square inch
A square with side lengths of 1 inch.

• square meter
A square with side lengths of 1 meter.

• unit fraction
A fraction with 1 in the numerator.

• weight
How heavy something is.