options: Solve equations and inequalities in one variable.

Analyze patterns and relationships.

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

Rewrite rational expressions.

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

Write and interpret numerical expressions.

Use properties of operations to generate equivalent expressions.

Work with addition and subtraction equations.

Solve systems of equations.

Generate and analyze patterns.

Add and subtract within 20.

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.

Reason about and solve one-variable equations and inequalities.

Use the four operations with whole numbers to solve problems.

Work with radicals and integer exponents.

Represent and analyze quantitative relationships between dependent and independent variables.

Use polynomial identities to solve problems.

Interpret the structure of expressions.

Gain familiarity with factors and multiples.

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

Understand the relationship between zeros and factors of polynomials.

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

Multiply and divide within 100.

Write expressions in equivalent forms to solve problems.

Represent and solve equations and inequalities graphically.

Apply and extend previous understandings of arithmetic to algebraic expressions.

Represent and solve problems involving multiplication and division.

Perform arithmetic operations on polynomials.

Create equations that describe numbers or relationships

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

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

Represent and solve problems involving addition and subtraction.

Understand and apply properties of operations and the relationship between addition and subtraction.
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: 20