options: Analyze patterns and relationships.

Solve equations and inequalities in one variable.

Gain familiarity with factors and multiples.

Use properties of operations to generate equivalent expressions.

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

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

Write expressions in equivalent forms to solve problems.

Perform arithmetic operations on polynomials.

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

Rewrite rational expressions.

Add and subtract within 20.

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

Write and interpret numerical expressions.

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

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

Work with addition and subtraction equations.

Work with radicals and integer exponents.

Solve systems of equations.

Multiply and divide within 100.

Represent and analyze quantitative relationships between dependent and independent variables.

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

Interpret the structure of expressions.

Reason about and solve one-variable equations and inequalities.

Apply and extend previous understandings of arithmetic to algebraic expressions.

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

Represent and solve problems involving addition and subtraction.

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

Create equations that describe numbers or relationships

Represent and solve problems involving multiplication and division.

Generate and analyze patterns.

Represent and solve equations and inequalities graphically.

Understand the relationship between zeros and factors of polynomials.

Use polynomial identities to solve problems.

Use the four operations with whole numbers to solve problems.
problem_activity: Problem 1
Four expressions are shown in the chart below. For each one, write all the ways to read the expressions that you can think of.
| **             $${x+2}$$            ** |                 $${x-2}$$                 |
|----------------------------------------|-------------------------------------------|
|                                        |                                           |
|                $${2x}$$                | **             $${x\div2}$$            ** |
|                                        |                                           |
Problem 2
Two tape diagrams are shown below. The shading indicates subtraction.
[IMG]
Statements a–h below can be used to describe either Diagram 1 or Diagram 2. Match each statement to one of the diagrams.
a.   The difference of
$$4$$
and
$$m$$
b.   The difference of
$$m$$
and
$$4$$
c.
$$4$$
less than
$$m$$
d.
$$m$$
less than
$$4$$
e.
$$4$$
less
$$m$$
f.
$$m$$
less
$$4$$
g.   Subtract
$$4$$
from
$$m$$
h.   Subtract
$$m$$
from
$$4$$
Problem 3
For each verbal statement, write the algebraic expression it describes.
a.   The sum of
$$e$$
and
$$f$$
subtracted from
$$g$$
b.
$$g$$
less than the sum of
$$e$$
and
$$f$$
c.
$$g$$
more than twice
$$f$$


correct_option_index: 23