options: Represent and solve problems involving multiplication and division.

Use polynomial identities to solve problems.

Generate and analyze patterns.

Understand the connections between proportional relationships, lines, and linear equations.

Understand solving equations as a process of reasoning and explain the reasoning.

Gain familiarity with factors and multiples.

Use properties of operations to generate equivalent expressions.

Represent and solve equations and inequalities graphically.

Understand and apply properties of operations and the relationship between addition and subtraction.

Solve equations and inequalities in one variable.

Rewrite rational expressions.

Work with addition and subtraction equations.

Reason about and solve one-variable equations and inequalities.

Use the four operations with whole numbers to solve problems.

Perform arithmetic operations on polynomials.

Work with equal groups of objects to gain foundations for multiplication.

Write expressions in equivalent forms to solve problems.

Write and interpret numerical expressions.

Represent and analyze quantitative relationships between dependent and independent variables.

Represent and solve problems involving addition and subtraction.

Understand addition as putting together and adding to, and understand subtraction as taking apart and taking from.

Analyze and solve linear equations and pairs of simultaneous linear equations.

Multiply and divide within 100.

Solve systems of equations.

Solve problems involving the four operations, and identify and explain patterns in arithmetic.

Apply and extend previous understandings of arithmetic to algebraic expressions.

Create equations that describe numbers or relationships

Analyze patterns and relationships.

Understand the relationship between zeros and factors of polynomials.

Add and subtract within 20.

Solve real-life and mathematical problems using numerical and algebraic expressions and equations.

Understand properties of multiplication and the relationship between multiplication and division.

Work with radicals and integer exponents.

Interpret the structure of expressions.
problem_activity: Task
A penny is about $\frac{1}{16}$ of an inch thick.
In 2011 there were approximately 5 billion pennies minted. If all of these pennies were placed in a single stack, how many miles high would that stack be?
In the past 100 years, nearly 500 billion pennies have been minted. If all of these pennies were placed in a single stack, how many miles high would that stack be?
The distance from the moon to the earth is about 239,000 miles. How many pennies would need to be in a stack in order to reach the moon?


correct_option_index: 12

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