options: Write expressions in equivalent forms 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.

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

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

Reason about and solve one-variable equations and inequalities.

Analyze patterns and relationships.

Represent and solve problems involving multiplication and division.

Represent and solve equations and inequalities graphically.

Use the four operations with whole numbers to solve problems.

Perform arithmetic operations on polynomials.

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

Understand the relationship between zeros and factors of polynomials.

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

Gain familiarity with factors and multiples.

Solve equations and inequalities in one variable.

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

Add and subtract within 20.

Write and interpret numerical expressions.

Represent and analyze quantitative relationships between dependent and independent variables.

Solve systems of equations.

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

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

Work with radicals and integer exponents.

Work with addition and subtraction equations.

Generate and analyze patterns.

Use polynomial identities to solve problems.

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

Represent and solve problems involving addition and subtraction.

Apply and extend previous understandings of arithmetic to algebraic expressions.

Multiply and divide within 100.

Rewrite rational expressions.

Interpret the structure of expressions.

Create equations that describe numbers or relationships
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: 4