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

Gain familiarity with factors and multiples.

Add and subtract within 20.

Write and interpret numerical expressions.

Perform arithmetic operations on polynomials.

Represent and solve problems involving multiplication and division.

Represent and solve equations and inequalities graphically.

Analyze patterns and relationships.

Multiply and divide within 100.

Write expressions in equivalent forms to solve problems.

Solve equations and inequalities in one variable.

Apply and extend previous understandings of arithmetic to algebraic expressions.

Understand the relationship between zeros and factors of polynomials.

Rewrite rational expressions.

Interpret the structure of expressions.

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

Reason about and solve one-variable equations and inequalities.

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

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

Represent and analyze quantitative relationships between dependent and independent variables.

Solve systems of equations.

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

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

Use polynomial identities to solve problems.

Represent and solve problems involving addition and subtraction.

Work with addition and subtraction equations.

Generate and analyze patterns.

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

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

Create equations that describe numbers or relationships

Use properties of operations to generate equivalent expressions.

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

Use the four operations with whole numbers to solve problems.

Work with radicals and integer exponents.
problem_activity: Potassium-40 has a half-life of
$${1.28\times 10^9}$$
years, which means that after that many years, half of a sample has decayed into a different isotope of carbon. If a sample began with
$${115}$$
grams of potassium-40
$${30,000,000}$$
years ago, how much is left today? How long will it be until there are only
$${50}$$
grams remaining?


correct_option_index: 14