options: Multiply and divide within 100.

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

Generate and analyze patterns.

Analyze patterns and relationships.

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

Use properties of operations to generate equivalent expressions.

Work with addition and subtraction equations.

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

Reason about and solve one-variable equations and inequalities.

Rewrite rational expressions.

Write expressions in equivalent forms to solve problems.

Add and subtract within 20.

Represent and solve equations and inequalities graphically.

Understand the relationship between zeros and factors of polynomials.

Represent and analyze quantitative relationships between dependent and independent variables.

Perform arithmetic operations on polynomials.

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

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

Use the four operations with whole numbers to solve problems.

Write and interpret numerical expressions.

Solve equations and inequalities in one variable.

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

Work with radicals and integer exponents.

Create equations that describe numbers or relationships

Represent and solve problems involving addition and subtraction.

Use polynomial identities to solve problems.

Represent and solve problems involving multiplication and division.

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

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

Solve systems of equations.

Interpret the structure of expressions.

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

Apply and extend previous understandings of arithmetic to algebraic expressions.

Gain familiarity with factors and multiples.
problem_activity: Task
Consider the algebraic expressions below:
$$ (n + 2)^2 - 4 \qquad \text{and} \qquad n^2 + 4n. $$
Use the figures below to illustrate why the expressions are equivalent:
[IMG]
Find some ways to algebraically verify the same result.


correct_option_index: 30