options: Solve equations and inequalities in one variable.

Apply and extend previous understandings of arithmetic to algebraic expressions.

Work with addition and subtraction equations.

Add and subtract within 20.

Solve systems of equations.

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

Represent and solve problems involving multiplication and division.

Write and interpret numerical expressions.

Write expressions in equivalent forms to solve problems.

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

Gain familiarity with factors and multiples.

Work with radicals and integer exponents.

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

Represent and analyze quantitative relationships between dependent and independent variables.

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

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

Reason about and solve one-variable equations and inequalities.

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

Represent and solve equations and inequalities graphically.

Interpret the structure of expressions.

Use polynomial identities to solve problems.

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

Understand the relationship between zeros and factors of polynomials.

Rewrite rational expressions.

Represent and solve problems involving addition and subtraction.

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

Generate and analyze patterns.

Perform arithmetic operations on polynomials.

Use properties of operations to generate equivalent expressions.

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

Multiply and divide within 100.

Create equations that describe numbers or relationships

Analyze patterns and relationships.

Use the four operations with whole numbers to solve problems.
problem_activity: Task
Sketch  graphs of the functions $f$ and $F$ given by $f(x)= |x|$ and $F(x) = x^2$
for $-2 \leq x \leq 2$.
Suppose $g$ is the function given by  $g(x) = \frac{f(x)}{x}$ for  $x \neq 0$ and
$G$ is the function given by  $G(x) = \frac{F(x)}{x}$ for $x \neq 0$.
Sketch  graphs of the functions $g$ and $G$  for $x \neq 0$ and $-2 \leq x \leq 2$.
Is there a natural way to define $g$ and $G$ when $x =0$? Explain.


correct_option_index: 22