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

Gain familiarity with factors and multiples.

Create equations that describe numbers or relationships

Understand the relationship between zeros and factors of polynomials.

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

Add and subtract within 20.

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

Work with addition and subtraction equations.

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

Solve systems of equations.

Apply and extend previous understandings of arithmetic to algebraic expressions.

Write and interpret numerical expressions.

Multiply and divide within 100.

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

Represent and solve problems involving addition and subtraction.

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.

Represent and solve problems involving multiplication and division.

Use properties of operations to generate equivalent expressions.

Interpret the structure of expressions.

Work with radicals and integer exponents.

Use polynomial identities to solve problems.

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

Rewrite rational expressions.

Reason about and solve one-variable equations and inequalities.

Analyze patterns and relationships.

Use the four operations with whole numbers to solve problems.

Represent and analyze quantitative relationships between dependent and independent variables.

Write expressions in equivalent forms to solve problems.

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

Perform arithmetic operations on polynomials.

Represent and solve equations and inequalities graphically.

Generate and analyze patterns.

Solve equations and inequalities in one variable.
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: 28