options: Multiply and divide within 100.

Gain familiarity with factors and multiples.

Represent and solve problems involving addition and subtraction.

Solve systems of equations.

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

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.

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

Add and subtract within 20.

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

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

Analyze patterns and relationships.

Represent and solve problems involving multiplication and division.

Represent and analyze quantitative relationships between dependent and independent variables.

Understand the relationship between zeros and factors of polynomials.

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

Create equations that describe numbers or relationships

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

Rewrite rational expressions.

Use the four operations with whole numbers to solve problems.

Apply and extend previous understandings of arithmetic to algebraic expressions.

Represent and solve equations and inequalities graphically.

Use polynomial identities to solve problems.

Write and interpret numerical expressions.

Solve equations and inequalities in one variable.

Perform arithmetic operations on polynomials.

Work with radicals and integer exponents.

Work with addition and subtraction equations.

Use properties of operations to generate equivalent expressions.

Generate and analyze patterns.

Interpret the structure of expressions.

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

Write expressions in equivalent forms to solve problems.

Reason about and solve one-variable equations and inequalities.
problem_activity: Task
Bernardo and Silvia play the following game. An integer between 0
and 999, inclusive, is selected and given to Bernardo. Whenever
Bernardo receives a number, he doubles it and passes the result to
Silvia. Whenever Silvia receives a number, she adds 50 to it and
passes the result to Bernardo. The winner is the last person who
produces a number less than 1000. What is the smallest initial number that results in a win for Bernardo?


correct_option_index: 16