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

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

Add and subtract within 20.

Create equations that describe numbers or relationships

Generate and analyze patterns.

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

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

Reason about and solve one-variable equations and inequalities.

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.

Solve systems of equations.

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

Represent and analyze quantitative relationships between dependent and independent variables.

Rewrite rational expressions.

Represent and solve problems involving addition and subtraction.

Use the four operations with whole numbers to solve problems.

Write expressions in equivalent forms to solve problems.

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

Perform arithmetic operations on polynomials.

Represent and solve problems involving multiplication and division.

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

Represent and solve equations and inequalities graphically.

Analyze patterns and relationships.

Interpret the structure of expressions.

Multiply and divide within 100.

Use polynomial identities to solve problems.

Gain familiarity with factors and multiples.

Solve equations and inequalities in one variable.

Work with radicals and integer exponents.

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

Work with addition and subtraction equations.

Write and interpret numerical expressions.

Understand the relationship between zeros and factors of polynomials.
problem_activity: Task
There are two snakes at the zoo, Jewel and Clyde. Jewel was six feet and Clyde was eight feet. A year later Jewel was eight feet and  Clyde was 10 feet. When asked which one grew more, students gave varying answers.
Mia said, “Since the two snakes both grew two feet ($8-6=2$ and $10-8=2$) then I would say that they grew the same amount.”
Raul said, “They both grew 2 feet, but Jewel was only 6 feet to start with while Clyde was 8 feet to start with. That means Jewel grew more compared to her original length (2 is a larger part of six than it is of eight).“
Compare the two arguments. Describe the difference in the way the two students are thinking about the problem. Suppose a one-foot snake grew two feet and a 20-foot snake grew two feet. Could the two students still make the same type of argument?


correct_option_index: 16