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additive comparison

Problems that ask how much more (or less) one amount is than another

associative property of addition

When the grouping of terms changes, the sum stays the same.

ADDEND

any number being added

array

a picture that uses rows (---) and columns (I) to show a multiplication problem

add

two combine, put together two or more quantities

algorithm

a step-by-step method for computing

COMPARISON BARS

used to represent larger & smaller amounts in a comparison situation

compare

To decide if one number is greater than, less than, or equal to.

data

A collection of information gathered for a purpose. Data may be in the form of either words or numbers.

commutative property of addition

If the order of the terms changes, the sum stays the same.

Compose

To put together components or basic elements.

Estimate

round

Decompose

to separate into components or basic elements

difference

the answer to a subtraction problem

digit

Any of the symbols 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9.

Equation

A mathematical sentence that contains an equals sign

equal

having the same value

fact family

A group of related facts that use the same numbers. Also called related facts.

expression

A mathematical phrase without an equal sign.

expanded form

the number written using addition for each place value.

Evaluate

To find the value of a mathematical expression.

greater than

>; the number to the left of the sign is MORE than the number to the right

less than

<; the number to the left is FEWER than the number to the right

line plot

A diagram showing frequency of data on a number line.

Identity Property of Addition

The sum of 0 and any number is that number.

number line

a diagram that represents numbers as points on a line.

multiplicative comparison

Compare by asking or telling how many times more one amount is as another.

place value

The way that the position of a digit in a number tells us its value

pattern

A repeating or growing sequence or design. An ordered set of numbers or shapes arranged according to a rule.

Period

In a large number, periods are groups of 3 digits separated by commas or by spaces.

related facts

Related addition and subtraction facts or related multiplication and division facts. Also called fact family.

round a whole number

To find the nearest ten, hundred, thousand, (and so on).

sum

the answer to an addition problem

reasonableness

An answer that is based upon good number sense.

SUBTRACT

an operation that gives the difference between two numbers

Sequence

A set of numbers arranged in a special order or pattern.

standard form

the number written with digits

Range

The difference between the greatest number and the least number in a set of data.

word form

A way of using words to write a number.

Variable

an alphabetic character representing a number, called the value, which is either arbitrary or not fully specified or unknown. It is usually a letter like x or y.

Whole Numbers

Zero and the counting numbers 1, 2, 3, 4, 5, 6, and so on. If a number has a negative sign, a decimal point, or a part that's a fraction, it is NOT a whole number.