options: Create equations that describe numbers or relationships

Write expressions in equivalent forms to solve problems.

Use polynomial identities to solve problems.

Solve equations and inequalities in one variable.

Analyze patterns and relationships.

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

Interpret the structure of expressions.

Work with addition and subtraction equations.

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

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

Reason about and solve one-variable equations and inequalities.

Write and interpret numerical expressions.

Solve systems of equations.

Apply and extend previous understandings of arithmetic to algebraic expressions.

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

Represent and solve equations and inequalities graphically.

Add and subtract within 20.

Use properties of operations to generate equivalent expressions.

Generate and analyze patterns.

Represent and analyze quantitative relationships between dependent and independent variables.

Represent and solve problems involving addition and subtraction.

Rewrite rational expressions.

Work with radicals and integer exponents.

Perform arithmetic operations on polynomials.

Multiply and divide within 100.

Gain familiarity with factors and multiples.

Represent and solve problems involving multiplication and division.

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

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

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

Use the four operations with whole numbers to solve problems.

Understand the relationship between zeros and factors of polynomials.

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

Solve problems involving the four operations, and identify and explain patterns in arithmetic.
problem_activity: What is the minimum value taken by the expression
$${{{(x-}}4)^2+6}$$
? How does the structure of the expression help to see why?
Rewrite the quadratic expression
$${ x^2-6x-3}$$
in the form
$${{(x-}}$$
_____
$${{ )^2+}}$$
______ .
Rewrite the quadratic expression
$${-2x^2+4x+3}$$
in the form  ____
$${{(x-}}$$
_____
$${{ )^2+}}$$
______ .


correct_option_index: 1