In order to use language to communicate math concepts and skills concisely **{language model}**, we must learn the terminology and vocabulary of mathematics so that we can express ourselves accurately. Lets begin by learning the English math words associated with the fundamental skill of addition and its associated numerical expressions **{number model}.**

An arithmetic expression is a mathematical statement consisting of real numbers and mathematical operations. There are no variables in an arithmetic expression.

The numbers that are being added together are called addends.

The plus sign is the mathematical symbol representing the operation of addition.

The equal sign tells us that the the math statement on its left is the same value (equal) to the math statement on the right

The sum is the value of the addition of the addends.

This arithmetic equation is a mathematical statement which uses the equal sign to state that the arithmetic expression on the left (the sum of the two addends) is equal to the statement on the right of the equal sign (the sum).

Each language and culture uses its own terminology and vocabulary to represent these components of addition. Learning these words and their meaning is one important way the world of language arts and world of mathematics intersects. One of the most basic tools I use to assess whether a student I am tutoring is fluent in the use of math vocabulary is through the use of **flashcards**. I usually just ask the student to identify the component of the expression or equation highlighted in red. Many times, there is more than one acceptable answer, as you will see in future blogs.

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