options: Multiply and divide within 100.

Rewrite rational expressions.

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

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

Work with addition and subtraction equations.

Represent and solve problems involving addition and subtraction.

Perform arithmetic operations on polynomials.

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

Work with radicals and integer exponents.

Understand the relationship between zeros and factors of polynomials.

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 problems involving multiplication and division.

Add and subtract within 20.

Write and interpret numerical expressions.

Use polynomial identities to solve problems.

Analyze patterns and relationships.

Create equations that describe numbers or relationships

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

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

Write expressions in equivalent forms to solve problems.

Gain familiarity with factors and multiples.

Use properties of operations to generate equivalent expressions.

Represent and solve equations and inequalities graphically.

Interpret the structure of expressions.

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

Use the four operations with whole numbers to solve problems.

Solve equations and inequalities in one variable.

Generate and analyze patterns.

Reason about and solve one-variable equations and inequalities.

Apply and extend previous understandings of arithmetic to algebraic expressions.

Solve systems of equations.

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

Understand addition as putting together and adding to, and understand subtraction as taking apart and taking from.
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: 27