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

Use the four operations with whole numbers to solve problems.

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

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

Represent and solve problems involving multiplication and division.

Work with radicals and integer exponents.

Reason about and solve one-variable equations and inequalities.

Create equations that describe numbers or relationships

Represent and solve equations and inequalities graphically.

Perform arithmetic operations on polynomials.

Interpret the structure of expressions.

Represent and analyze quantitative relationships between dependent and independent variables.

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

Write and interpret numerical expressions.

Write expressions in equivalent forms to solve problems.

Gain familiarity with factors and multiples.

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

Solve systems of equations.

Use polynomial identities to solve problems.

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

Rewrite rational expressions.

Multiply and divide within 100.

Understand the relationship between zeros and factors of polynomials.

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

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

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

Use properties of operations to generate equivalent expressions.

Solve equations and inequalities in one variable.

Generate and analyze patterns.

Represent and solve problems involving addition and subtraction.

Add and subtract within 20.

Analyze patterns and relationships.

Apply and extend previous understandings of arithmetic to algebraic expressions.

Work with addition and subtraction equations.
problem_activity: Problem 1
Working together, it takes Sam, Jenna, and Francisco 2 hours to paint one room. When Sam is working alone, he can paint one room in 6 hours. When Jenna works alone, she can paint one room in 4 hours. Describe how long it would take Francisco to paint one room on his own.
Problem 2
Jamie and Ralph take a canoe trip up a river for 1 mile and then return. The current in the river is 1 mile per hour. The total trip time is 2 hours and 24 minutes. Assuming that they are paddling at a constant rate throughout the trip, find the speed that Jamie and Ralph are paddling. When Jamie and Ralph are paddling WITH the current (one way of their trip), their speed is
$${x+1}$$
. When Jamie and Ralph are paddling AGAINST the current (the other way of their trip), their speed is
$${x-1}$$
.


correct_option_index: 7

20