options: Write and interpret numerical expressions.

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

Use polynomial identities to solve problems.

Write expressions in equivalent forms to solve problems.

Work with addition and subtraction equations.

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

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

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

Interpret the structure of expressions.

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

Gain familiarity with factors and multiples.

Represent and solve equations and inequalities graphically.

Use the four operations with whole numbers to solve problems.

Solve equations and inequalities in one variable.

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

Represent and analyze quantitative relationships between dependent and independent variables.

Solve systems of equations.

Add and subtract within 20.

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

Multiply and divide within 100.

Generate and analyze patterns.

Perform arithmetic operations on polynomials.

Understand the relationship between zeros and factors of polynomials.

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

Analyze patterns and relationships.

Work with radicals and integer exponents.

Represent and solve problems involving addition and subtraction.

Represent and solve problems involving multiplication and division.

Reason about and solve one-variable equations and inequalities.

Create equations that describe numbers or relationships

Rewrite rational expressions.

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

Use properties of operations to generate equivalent expressions.

Apply and extend previous understandings of arithmetic to algebraic expressions.
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: 33