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

Write and interpret numerical expressions.

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

Perform arithmetic operations on polynomials.

Use the four operations with whole numbers to solve problems.

Solve systems of equations.

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

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

Use polynomial identities to solve problems.

Analyze patterns and relationships.

Understand the relationship between zeros and factors of polynomials.

Rewrite rational expressions.

Create equations that describe numbers or relationships

Solve equations and inequalities in one variable.

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

Reason about and solve one-variable equations and inequalities.

Generate and analyze patterns.

Apply and extend previous understandings of arithmetic to algebraic expressions.

Multiply and divide within 100.

Represent and analyze quantitative relationships between dependent and independent variables.

Interpret the structure of expressions.

Represent and solve problems involving addition and subtraction.

Represent and solve problems involving multiplication and division.

Add and subtract within 20.

Use properties of operations to generate equivalent expressions.

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

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

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

Write expressions in equivalent forms to solve problems.

Represent and solve equations and inequalities graphically.

Work with addition and subtraction equations.

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

Work with radicals and integer exponents.

Gain familiarity with factors and multiples.
problem_activity: Task
In a carefully controlled biology lab, a population of 100 bacteria reproduces via binary fission. That is, every hour, on the hour, each bacteria splits into two bacteria. Assuming no bacteria deaths, find an expression for the number $P(t)$ of bacteria in the population after $t$ hours.
In the next lab over, a population of protists reproduces hourly according to multiple fission. The function which gives the population of protists after $t$ hours is $$P(t)=50\cdot 3^t.$$ Interpret the significance of the numbers 50 and 3 in the context of the biological experiment.


correct_option_index: 20