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

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

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

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

Work with radicals and integer exponents.

Gain familiarity with factors and multiples.

Interpret the structure of expressions.

Multiply and divide within 100.

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

Work with addition and subtraction equations.

Rewrite rational expressions.

Represent and solve problems involving addition and subtraction.

Reason about and solve one-variable equations and inequalities.

Represent and analyze quantitative relationships between dependent and independent variables.

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

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

Analyze patterns and relationships.

Write and interpret numerical expressions.

Understand the relationship between zeros and factors of polynomials.

Represent and solve problems involving multiplication and division.

Write expressions in equivalent forms to solve problems.

Use polynomial identities to solve problems.

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

Use properties of operations to generate equivalent expressions.

Solve systems of equations.

Represent and solve equations and inequalities graphically.

Create equations that describe numbers or relationships

Perform arithmetic operations on polynomials.

Use the four operations with whole numbers to solve problems.

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

Add and subtract within 20.

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

Solve equations and inequalities in one variable.

Generate and analyze patterns.
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: 20