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

Understand the relationship between zeros and factors of polynomials.

Create equations that describe numbers or relationships

Gain familiarity with factors and multiples.

Work with radicals and integer exponents.

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

Perform arithmetic operations on polynomials.

Write and interpret numerical expressions.

Apply and extend previous understandings of arithmetic to algebraic expressions.

Add and subtract within 20.

Generate and analyze patterns.

Represent and solve problems involving addition and subtraction.

Work with addition and subtraction equations.

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

Use polynomial identities to solve problems.

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

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

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

Represent and solve problems involving multiplication and division.

Represent and analyze quantitative relationships between dependent and independent variables.

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

Multiply and divide within 100.

Rewrite rational expressions.

Write expressions in equivalent forms to solve problems.

Solve systems of equations.

Analyze patterns and relationships.

Solve equations and inequalities in one variable.

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

Interpret the structure of expressions.

Reason about and solve one-variable equations and inequalities.

Represent and solve equations and inequalities graphically.

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

Use the four operations with whole numbers to solve problems.

Use properties of operations to generate equivalent 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: 1