# UP:MA19.6.15

### Vocabulary

- Expressions
- Term
- Coefficient
- Sum
- Product
- Factor
- Quotient
- Variable
- Constant
- Difference
- Evaluate
- Order of Operations
- Exponent
- Absolute Value

### Knowledge

Students know:

- Correct usage of mathematical symbolism to model the terms sum, term, product, factor, quotient, variable, difference, constant, and coefficient when they appear in verbally stated contexts.
- Conventions for order of operations.
- Convention of using juxtaposition (5A or xy) to indicate multiplication.

### Skills

Students are able to:

- Translate fluently between verbally stated situations and algebraic models of the situation.
- Use operations (addition, subtraction, multiplication, division, and exponentiation) fluently with the conventions of parentheses and order of operations to evaluate expressions for specific values of variables in expressions.
- Use terminology related to algebraic expressions such as sum, term, product, factor, quotient, or coefficient, to communicate the meanings of the expression and the parts of the expression.

### Understanding

Students understand that:

- The structure of mathematics allows for terminology and techniques used with numerical expressions to be used in an analogous way with algebraic expressions, (the sum of 3 and 4 is written as 3 + 4, so the sum of 3 and y is written as 3 + y).
- When language is ambiguous about the meaning of a mathematical expression grouping, symbols and order of operations conventions are used to communicate the meaning clearly.
- Moving fluently among representations of mathematical situations (words, numbers, symbols, etc.), as needed for a given situation, allows a user of mathematics to make sense of the situation and choose appropriate and efficient paths to solutions.