options: Interpret the structure of expressions.

Rewrite rational expressions.

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

Work with addition and subtraction equations.

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

Represent and solve problems involving multiplication and division.

Write expressions in equivalent forms to solve problems.

Generate and analyze patterns.

Represent and solve equations and inequalities graphically.

Gain familiarity with factors and multiples.

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

Use polynomial identities to solve problems.

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

Reason about and solve one-variable equations and inequalities.

Represent and solve problems involving addition and subtraction.

Add and subtract within 20.

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

Analyze patterns and relationships.

Write and interpret numerical expressions.

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

Solve systems of equations.

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

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

Perform arithmetic operations on polynomials.

Multiply and divide within 100.

Use properties of operations to generate equivalent expressions.

Represent and analyze quantitative relationships between dependent and independent variables.

Create equations that describe numbers or relationships

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

Work with radicals and integer exponents.

Understand the relationship between zeros and factors of polynomials.

Apply and extend previous understandings of arithmetic to algebraic expressions.

Use the four operations with whole numbers to solve problems.

Solve equations and inequalities in one variable.
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: 30