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

Use the four operations with whole numbers to solve problems.

Interpret the structure of expressions.

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

Use properties of operations to generate equivalent expressions.

Apply and extend previous understandings of arithmetic to algebraic expressions.

Perform arithmetic operations on polynomials.

Write and interpret numerical expressions.

Reason about and solve one-variable equations and inequalities.

Understand the relationship between zeros and factors of polynomials.

Work with radicals and integer exponents.

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

Generate and analyze patterns.

Gain familiarity with factors and multiples.

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

Analyze patterns and relationships.

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

Use polynomial identities to solve problems.

Add and subtract within 20.

Create equations that describe numbers or relationships

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

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

Represent and analyze quantitative relationships between dependent and independent variables.

Represent and solve problems involving addition and subtraction.

Rewrite rational expressions.

Multiply and divide within 100.

Write expressions in equivalent forms to solve problems.

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

Represent and solve problems involving multiplication and division.

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

Represent and solve equations and inequalities graphically.

Solve systems of equations.

Solve equations and inequalities in one variable.

Work with addition and subtraction equations.
problem_activity: Problem 1
Sondra says
$$3\times223=696$$
. Use what you know about the product of two odd numbers to explain why Sondra is wrong.
Problem 2
Explain two ways you could find the next number in the highlighted diagonal below. You don’t need to actually compute it!
| **            ×           **  | **            1           ** | **            2           ** | **            3           ** | **            4           ** | **            5           ** | **            6           ** | **            7           ** | **            8           ** | **            9           ** | **            10           ** |   |
|-------------------------------|------------------------------|------------------------------|------------------------------|------------------------------|------------------------------|------------------------------|------------------------------|------------------------------|------------------------------|-------------------------------|---|
| **            1           **  |              1               |              2               |              3               |              4               |              5               |              6               |              7               |              8               |              9               |              10               |   |
| **            2           **  |              2               |              4               |              6               |              8               |              10              |              12              |              14              |              16              |              18              |              20               |   |
| **            3           **  |              3               |              6               |              9               |              12              |              15              |              18              |              21              |              24              |              27              |              30               |   |
| **            4           **  |              4               |              8               |              12              |              16              |              20              |              24              |              28              |              32              |              36              |              40               |   |
| **            5           **  |              5               |              10              |              15              |              20              |              25              |              30              |              35              |              40              |              45              |              50               |   |
| **            6           **  |              6               |              12              |              18              |              24              |              30              |              36              |              42              |              48              |              54              |              60               |   |
| **            7           **  |              7               |              14              |              21              |              28              |              35              |              42              |              49              |              56              |              63              |              70               |   |
| **            8           **  |              8               |              16              |              24              |              32              |              40              |              48              |              56              |              64              |              72              |              80               |   |
| **            9           **  |              9               |              18              |              27              |              36              |              45              |              54              |              63              |              72              |              81              |              90               |   |
| **            10           ** |              10              |              20              |              30              |              40              |              50              |              60              |              70              |              80              |              90              |              100              |   |
|                               |                              |                              |                              |                              |                              |                              |                              |                              |                              |                               |   |


correct_option_index: 0