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

Add and subtract within 20.

Represent and solve equations and inequalities graphically.

Work with radicals and integer exponents.

Use polynomial identities to solve problems.

Represent and analyze quantitative relationships between dependent and independent variables.

Create equations that describe numbers or relationships

Gain familiarity with factors and multiples.

Solve systems of equations.

Solve equations and inequalities in one variable.

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

Understand the relationship between zeros and factors of polynomials.

Reason about and solve one-variable equations and inequalities.

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

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

Use the four operations with whole numbers to solve problems.

Perform arithmetic operations on polynomials.

Represent and solve problems involving multiplication and division.

Write expressions in equivalent forms to solve problems.

Generate and analyze patterns.

Rewrite rational expressions.

Write and interpret numerical expressions.

Work with addition and subtraction equations.

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

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

Represent and solve problems involving addition and subtraction.

Multiply and divide within 100.

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.

Interpret the structure of expressions.

Apply and extend previous understandings of arithmetic to algebraic expressions.

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

Analyze patterns and relationships.

Solve problems involving the four operations, and identify and explain patterns in arithmetic.
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: 11