options: Represent and solve problems involving multiplication and division.

Perform arithmetic operations on polynomials.

Use the four operations with whole numbers to solve problems.

Work with radicals and integer exponents.

Reason about and solve one-variable equations and inequalities.

Rewrite rational expressions.

Interpret the structure of expressions.

Write and interpret numerical expressions.

Write expressions in equivalent forms to solve problems.

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

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

Add and subtract within 20.

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

Create equations that describe numbers or relationships

Apply and extend previous understandings of arithmetic to algebraic expressions.

Use polynomial identities to solve problems.

Solve systems of equations.

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

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

Analyze patterns and relationships.

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

Multiply and divide within 100.

Understand the relationship between zeros and factors of polynomials.

Represent and solve problems involving addition and subtraction.

Gain familiarity with factors and multiples.

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

Work with addition and subtraction equations.

Generate and analyze patterns.

Use properties of operations to generate equivalent expressions.

Solve equations and inequalities in one variable.

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

Represent and analyze quantitative relationships between dependent and independent variables.

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

Represent and solve equations and inequalities graphically.
problem_activity: Task
The first three steps of three visual patterns are shown below.
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Here are functions that define how many tiles are in step $n$, in no particular order: $$f(n)=3n^2$$ $$g(n)=n^2+4$$ $$h(n)=n^2-1$$
Decide which function defines which pattern.
One of these patterns has a step with $432$ tiles in it, one has a step with $195$ tiles in it, and one of these patterns has a step with $404$ tiles in it. Decide which is which, find the step that contains that number of tiles, and explain how you know.
Describe and justify the steps to solve this equation for $x$. $$ax^2+c=d$$


correct_option_index: 29