options: Use properties of operations to generate equivalent expressions.

Write expressions in equivalent forms to solve problems.

Create equations that describe numbers or relationships

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

Work with addition and subtraction equations.

Represent and solve equations and inequalities graphically.

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

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

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

Analyze patterns and relationships.

Add and subtract within 20.

Rewrite rational expressions.

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

Solve systems of equations.

Represent and analyze quantitative relationships between dependent and independent variables.

Multiply and divide within 100.

Work with radicals and integer exponents.

Apply and extend previous understandings of arithmetic to algebraic expressions.

Solve equations and inequalities in one variable.

Represent and solve problems involving addition and subtraction.

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

Reason about and solve one-variable equations and inequalities.

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

Use polynomial identities to solve problems.

Generate and analyze patterns.

Use the four operations with whole numbers to solve problems.

Interpret the structure of expressions.

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

Write and interpret numerical expressions.

Understand the relationship between zeros and factors of polynomials.

Perform arithmetic operations on polynomials.

Represent and solve problems involving multiplication and division.

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