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

Generate and analyze patterns.

Understand the relationship between zeros and factors of polynomials.

Rewrite rational expressions.

Reason about and solve one-variable equations and inequalities.

Write expressions in equivalent forms to solve problems.

Write and interpret numerical expressions.

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

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

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

Solve equations and inequalities in one variable.

Work with addition and subtraction equations.

Use the four operations with whole numbers to solve problems.

Multiply and divide within 100.

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

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

Represent and solve equations and inequalities graphically.

Perform arithmetic operations on polynomials.

Represent and solve problems involving multiplication and division.

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

Add and subtract within 20.

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

Represent and solve problems involving addition and subtraction.

Gain familiarity with factors and multiples.

Use properties of operations to generate equivalent expressions.

Analyze patterns and relationships.

Interpret the structure of expressions.

Create equations that describe numbers or relationships

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

Apply and extend previous understandings of arithmetic to algebraic expressions.

Represent and analyze quantitative relationships between dependent and independent variables.

Use polynomial identities to solve problems.

Solve systems of equations.

Work with radicals and integer exponents.
problem_activity: Task
Sadie computes the perimeter of a rectangle by adding the length, $l$, and width, $w$, and doubling this sum. Eric computes the perimeter of a rectangle by doubling the length, $l$, doubling the width, $w$, and adding the doubled amounts.
Write an expression for Sadie’s way of calculating the perimeter. Write an expression for Eric’s way as well.
Use both of the expressions to find the perimeter of a rectangle with length 30 and width 75.
Explain why Sadie and Eric always get the same answer, no matter what the length and width of the rectangle are.


correct_option_index: 29