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

Write and interpret numerical expressions.

Solve systems of equations.

Generate and analyze patterns.

Work with radicals and integer exponents.

Write expressions in equivalent forms to solve problems.

Create equations that describe numbers or relationships

Apply and extend previous understandings of arithmetic to algebraic expressions.

Perform arithmetic operations on polynomials.

Interpret the structure of expressions.

Solve equations and inequalities in one variable.

Add and subtract within 20.

Rewrite rational expressions.

Multiply and divide within 100.

Analyze patterns and relationships.

Use polynomial identities to solve problems.

Represent and analyze quantitative relationships between dependent and independent variables.

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

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

Reason about and solve one-variable equations and inequalities.

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

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

Work with addition and subtraction equations.

Represent and solve problems involving multiplication and division.

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

Represent and solve problems involving addition and subtraction.

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

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

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

Represent and solve equations and inequalities graphically.

Understand the relationship between zeros and factors of polynomials.

Use properties of operations to generate equivalent expressions.

Gain familiarity with factors and multiples.

Understand solving equations as a process of reasoning and explain the reasoning.
problem_activity: Task
Working with complex numbers allows us to solve equations like $z^2 = -1$
which cannot be solved with real numbers.  Here we will investigate complex numbers which arise as square roots of certain complex numbers.
Find all complex square roots of -1, that is, find all numbers $z = a + bi$ which satisfy $z^2 = -1$.
Find all complex square roots of 1.
Which complex numbers satisfy $z^2 = i$?


correct_option_index: 33