options: Apply and extend previous understandings of arithmetic to algebraic expressions.

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

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

Use properties of operations to generate equivalent expressions.

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

Represent and analyze quantitative relationships between dependent and independent variables.

Perform arithmetic operations on polynomials.

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

Understand the relationship between zeros and factors of polynomials.

Represent and solve equations and inequalities graphically.

Write and interpret numerical expressions.

Write expressions in equivalent forms to solve problems.

Use polynomial identities to solve problems.

Generate and analyze patterns.

Create equations that describe numbers or relationships

Work with radicals and integer exponents.

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

Reason about and solve one-variable equations and inequalities.

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

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

Use the four operations with whole numbers to solve problems.

Multiply and divide within 100.

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

Work with addition and subtraction equations.

Analyze patterns and relationships.

Rewrite rational expressions.

Add and subtract within 20.

Represent and solve problems involving multiplication and division.

Represent and solve problems involving addition and subtraction.

Gain familiarity with factors and multiples.

Solve systems of equations.

Solve equations and inequalities in one variable.

Interpret the structure of expressions.

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