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

Use polynomial identities to solve problems.

Write and interpret numerical expressions.

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

Use the four operations with whole numbers to solve problems.

Represent and solve problems involving multiplication and division.

Rewrite rational expressions.

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

Add and subtract within 20.

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.

Interpret the structure of expressions.

Reason about and solve one-variable equations and inequalities.

Solve equations and inequalities in one variable.

Represent and solve equations and inequalities graphically.

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

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

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

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

Gain familiarity with factors and multiples.

Represent and solve problems involving addition and subtraction.

Perform arithmetic operations on polynomials.

Understand the relationship between zeros and factors of polynomials.

Write expressions in equivalent forms to solve problems.

Create equations that describe numbers or relationships

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

Multiply and divide within 100.

Represent and analyze quantitative relationships between dependent and independent variables.

Use properties of operations to generate equivalent expressions.

Analyze patterns and relationships.

Generate and analyze patterns.

Work with addition and subtraction equations.

Solve systems of equations.

Work with radicals and integer exponents.
problem_activity: Problem 1
Solve the equation by completing the square. Show each step clearly.
$${3x^2-5x+1=0}$$
Problem 2
A quadratic equation is written below in standard, general form.
$${ax^2+bx+c=0}$$
Solve for
$$x$$
by completing the square as you did in Anchor Problem #1.
Problem 3
Recall the equation from Anchor Problem #1:
$${3x^2-5x+1=0}$$
.
Use the quadratic formula to determine the exact roots of the equation.


correct_option_index: 13