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

Analyze patterns and relationships.

Perform arithmetic operations on polynomials.

Solve systems of equations.

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

Write expressions in equivalent forms to solve problems.

Generate and analyze patterns.

Write and interpret numerical expressions.

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

Represent and solve equations and inequalities graphically.

Use polynomial identities to solve problems.

Represent and solve problems involving addition and subtraction.

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

Represent and analyze quantitative relationships between dependent and independent variables.

Use the four operations with whole numbers to solve problems.

Understand the relationship between zeros and factors of polynomials.

Solve equations and inequalities in one variable.

Apply and extend previous understandings of arithmetic to algebraic expressions.

Create equations that describe numbers or relationships

Work with radicals and integer exponents.

Multiply and divide within 100.

Use properties of operations to generate equivalent expressions.

Add and subtract within 20.

Rewrite rational expressions.

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

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

Interpret the structure of expressions.

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

Represent and solve problems involving multiplication and division.

Gain familiarity with factors and multiples.

Work with addition and subtraction equations.

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

Reason about and solve one-variable equations and inequalities.

Solve problems involving the four operations, and identify and explain patterns in arithmetic.
problem_activity: Problem 1
a.   Take 60 seconds to list as many multiples of 2 as you can.
b.   What do you notice about the values in that list? What do you wonder?
c.   Is 3,498 a multiple of 2? How do you know?
Problem 2
a.   Make a list of the first fifteen multiples of 3.
b.   Which of the numbers in your list are multiples of 6? What pattern do you see in where the multiples of 6 appear in the list?
c.   Which numbers in the list are multiples of 7? Can you predict when multiples of 7 will appear in the list of multiples of 3? Explain your reasoning.


correct_option_index: 29