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## Expanded Form

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Read and write numbers to 1000 using base-ten numerals, number names, and expanded form.

## Equivalent Expressions

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Identify when two expressions are equivalent (i.e., when the two expressions name the same number regardless of which value is substituted into them). For example, the expressions y + y + y and 3y are equivalent because they name the same number regardless of which number y stands for...

## Evaluating Algebraic Expressions

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Write and evaluate numerical expressions involving whole-number exponents.

Write, read, and evaluate expressions in which letters stand for numbers.

Evaluate expressions at specific values for their variables. Include expressions that arise from formulas in real-world problems.

## Algebraic Expressions

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Write, read, and evaluate expressions in which letters stand for numbers

Write expressions that record operations with numbers and with letters standing for numbers.

Identify parts of an expression using mathematical terms (sum, term, product, factor, quotient, coefficient); view one or more parts of an expression as a single entity.

## Writing and Evaluating Numerical Expressions

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Write and evaluate numerical expressions involving whole-number exponents.

## Simplifying Expressions

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Interpret expressions that represent a quantity in terms of its context. Interpret parts of an expression, such as terms, factors, and coefficients, in context.  Write and evaluate numerical expressions involving whole-number exponents.

Evaluate expressions at specific values for their variables. Include expressions that arise from formulas in real-world problems. Perform arithmetic operations, including those involving whole-number exponents, in the conventional order when there are no parentheses to specify a particular order (Order of Operations).

## Evaluating Expressions

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Write and evaluate numerical expressions involving whole-number exponents.  Interpret expressions that represent a quantity in terms of its context.  Interpret parts of an expression, such as terms, factors, and coefficients.

Interpret complicated expressions by viewing one or more of their parts as a single entity. For example, interpret P(1+r)n as the product of P and a factor not depending on P.

## Writing Expressions

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Interpret expressions that represent a quantity in terms of its context.  Interpret parts of an expression, such as terms, factors, and coefficients, in context.  Use the structure of an expression to rewrite it in different equivalent forms.

Define appropriate quantities for the purpose of descriptive modeling. Given a situation, context, or problem, students will determine, identify, and use appropriate quantities for representing the situation.

## Solving Equations Involving Exponents

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Write a function that describes a relationship between two quantities.  Determine an explicit expression, a recursive process, or steps for calculation from a context.  Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs (include reading these from a table).

## Discrete Exponential Functions

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Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.

Use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context.  Recognize that sequences are functions, sometimes defined recursively, whose domain is a subset of the integers. For example, the Fibonacci sequence is defined recursively by f(0) = f(1) = 1, f(n+1) = f(n) + f(n-1) for n ≥ 1.