options: Use the four operations with whole numbers to solve problems.

Add and subtract within 20.

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

Create equations that describe numbers or relationships

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

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

Write expressions in equivalent forms to solve problems.

Solve systems of equations.

Gain familiarity with factors and multiples.

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

Interpret the structure of expressions.

Reason about and solve one-variable equations and inequalities.

Generate and analyze patterns.

Work with radicals and integer exponents.

Represent and solve problems involving multiplication and division.

Represent and solve equations and inequalities graphically.

Rewrite rational expressions.

Represent and solve problems involving addition and subtraction.

Use polynomial identities to solve problems.

Use properties of operations to generate equivalent expressions.

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

Apply and extend previous understandings of arithmetic to algebraic expressions.

Understand the relationship between zeros and factors of polynomials.

Perform arithmetic operations on polynomials.

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

Analyze patterns and relationships.

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

Solve equations and inequalities in one variable.

Work with addition and subtraction equations.

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

Represent and analyze quantitative relationships between dependent and independent variables.

Multiply and divide within 100.

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

Write and interpret numerical expressions.
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